Texas Instruments TI-83 Manual Book

Texas Instruments TI-83 Manual Book

Graphing calculator
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TI
07/23/03
TI-83 Plus Silver Edition
Graphing Calculator Guidebook
First Steps
On/Off
Menus
Using parentheses
Creating...
Beyond the Basics
More Information
Sending and receiving
Formulas
Graphing a function
Modes
Data and lists
Archiving/Unarchiving
Menu maps
Troubleshooting
Support and service
© 2001-2003 Texas Instruments

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Summary of Contents for Texas Instruments TI-83

  • Page 1 TI-83 Plus / TI-83 Plus Silver Edition Graphing Calculator Guidebook First Steps On/Off Menus Using parentheses Creating… Tables Matrices Beyond the Basics Inferential statistics Programming More Information Sending and receiving Formulas 07/23/03 Graphing a function Modes Lists Data and lists...
  • Page 2 “as-is” basis. In no event shall Texas Instruments be liable to anyone for special, collateral, incidental, or consequential damages in connection with or...
  • Page 3 Connect the equipment into an outlet on a circuit different from that to which the receiver is connected. Consult the dealer or an experienced radio/television technician for help. Caution: Any changes or modifications to this equipment not expressly approved by Texas Instruments may void your authority to operate the equipment. TI-83 Plus...
  • Page 4: Documentation Conventions

    TI-83 Plus. All the functions of the TI-83 Plus Silver Edition and the TI-83 Plus are the same. The two calculators differ only in available RAM memory and Flash application ROM memory. TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 5 Editing — Editing keys allow you to edit expressions and values. Advanced — Advanced function keys display menus that access the advanced functions. Scientific — Scientific calculator keys access the capabilities of a standard scientific calculator. TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 6: Ti-83 Plus

    TI-83 Plus Graphing Keys Editing Keys Advanced Function Keys Scientific Calculator Keys TI-83 Plus Operating the TI-83 Plus Silver Edition Colors may vary in actual product.
  • Page 7 For example, when you press y and then , the TEST menu is displayed. This guidebook describes this keystroke combination as y :. TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 8 This guidebook describes this keystroke combination as ƒ [ The y key accesses the second function printed in yellow above each key. The ƒ key accesses the alpha function printed in green above each key. TI-83 Plus Operating the TI-83 Plus Silver Edition is entered.
  • Page 9 Turning On and Turning Off the TI-83 Plus Turning On the Calculator To turn on the TI-83 If you previously had turned off the calculator by pressing y M, the TI-83 Plus displays the home screen as it was when you last used it and clears any error.
  • Page 10 AAA alkaline batteries and has a user- replaceable backup lithium battery (CR1616 or CR1620). To replace batteries without losing any information stored in memory, follow the steps in Appendix B. TI-83 Plus Operating the TI-83 Plus Silver Edition manually, press y M.
  • Page 11: Setting The Display Contrast

    2. Press and hold † or }, which are below and above the contrast symbol (yellow, half-shaded circle). † lightens the screen. } darkens the screen. TI-83 Plus Operating the TI-83 Plus Silver Edition has 40 contrast settings, so each number 0 through 9 (lightest)
  • Page 12 Batteries must be replaced. All memory should be retained. Note: The operating period following the first low-battery message could be longer than two weeks if you use the calculator infrequently. TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 13: The Display

    (Chapter 16) is longer than one line, it wraps to the beginning of the next line. In numeric editors such as the window screen (Chapter 3), a long expression scrolls to the right and left. TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 14 When you pause a graph or a program, the busy indicator becomes a vertical moving dotted line. TI-83 Plus Operating the TI-83 Plus Silver Edition Entry Answer TI-83 Plus ) is displayed to the right or left.
  • Page 15 # (#). Graphs and editors sometimes display additional cursors, which are described in other chapters. TI-83 Plus Operating the TI-83 Plus Silver Edition Effect of Next Keystroke A character is entered at the cursor; any existing character is overwritten...
  • Page 16: Entering Expressions And Instructions

    An expression is completed when you press Í, regardless of the cursor location. The entire expression is evaluated according to Equation Operating System (EOSé) , and rules the answer is displayed. TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 17 ( ENTRY Entering a Number in Scientific Notation To enter a number in scientific notation, follow these steps. TI-83 Plus Operating the TI-83 Plus Silver Edition ]). All instructions are stored together in last , and . If you enter...
  • Page 18 In general, the first letter of each function is lowercase on the one argument, as indicated by an open parenthesis ( name. For example, TI-83 Plus Operating the TI-83 Plus Silver Edition ÷ TI-83 Plus. Most functions take at least requires one argument,...
  • Page 19 To return to the home screen, press ‘ or any nongraphing key. To restart graphing, press a graphing key or select a graphing instruction. TI-83 Plus Operating the TI-83 Plus Silver Edition is an instruction ClrDraw ) at the end of the name. For...
  • Page 20 Deletes a character at the cursor; this key repeats. Changes the cursor to an underline ( front of the underline cursor; to end insertion, press y 6 or press |, }, ~, or †. TI-83 Plus Operating the TI-83 Plus Silver Edition ); inserts characters in...
  • Page 21 Pastes an X in Func mode, a T in Par mode, a q in Pol mode, or an n in Seq mode with one keystroke. TI-83 Plus Operating the TI-83 Plus Silver Edition , press y again. (Chapters 10 and 11); to cancel ƒ, press...
  • Page 22: Setting Modes

    Whether to plot simultaneously Real a+bi re^qi Real, rectangular complex, or polar complex Full Horiz G-T Full screen, two split-screen modes TI-83 Plus Operating the TI-83 Plus Silver Edition TI-83 Plus displays and interprets TI-83 Plus is turned off. All numbers, including...
  • Page 23 Notation modes only affect the way an answer is displayed on the home screen. Numeric answers can be displayed with up to 10 digits and a two-digit exponent. You can enter a number in any format. TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 24 ) to display to the right of the decimal. Place the cursor on the desired number of decimal digits, and then press Í. The decimal setting applies to , and notation modes. Normal TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 25 Answers display in Degree degrees. TI-83 Plus Operating the TI-83 Plus Silver Edition instruction equation of the line, operations (Chapters 3, 4, 5, and 6) TI-83 Plus interprets angle values in , and...
  • Page 26 (sequence) graphing mode plots sequences (Chapter 6). Connected, Dot plotting mode draws a line connecting each point calculated Connected for the selected functions. plotting mode plots only the calculated points of the selected functions. TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 27 (rectangular complex mode) displays complex numbers in the a+b i form a+b (polar complex mode) displays complex numbers in the form re^q i re^q TI-83 Plus Operating the TI-83 Plus Silver Edition and then evaluates and plots TI-83 Plus will...
  • Page 28 (Chapter 9). (graph-table) mode displays the current graph on the left half of the screen; it displays the table screen on the right half (Chapter 9). TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 29 Polar functions Sequence functions Stat plots Graph databases TI-83 Plus Operating the TI-83 Plus Silver Edition Names A , B , ... , Z A , B , ... , Z ãAä, ãBä, ãCä , ... , ãJä , and user-defined names , .
  • Page 30 From the home screen, a program, or an editor, you can store a value to a matrix element or a list element. TI-83 Plus Operating the TI-83 Plus Silver Edition Names Pic1 , Pic2 , ... , Pic9 , Pic0 Str1 , Str2 , ...
  • Page 31 AppVars independent applications. You cannot edit or change variables in unless you do so through the application which created AppVars them. TI-83 Plus Operating the TI-83 Plus Silver Edition menu items to store and recall graph...
  • Page 32: Storing Variable Values

    3. Press ƒ and then the letter of the variable to which you want to store the value. 4. Press Í. If you entered an expression, it is evaluated. The value is stored to the variable. TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 33 L1, you will see that L1 exists in memory but if you select it and paste the name L1 to the home screen, you won’t be able to see its contents or edit it until they are unarchived. TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 34: Recalling Variable Values

    Press  |, and then select the name of the program (in the program editor only). TI-83 Plus Operating the TI-83 Plus Silver Edition , press ‘. and the edit cursor are displayed on the bottom ä, and then select the name of the list, or press y menu or ...
  • Page 35 3. Press Í. The variable contents are inserted where the cursor was located before you began these steps. Note: You can edit the characters pasted to the expression without affecting the value in memory. TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 36 Í, you Because the TI-83 Plus updates ENTRY can recall the previous entry even if you have begun to enter the next expression. 5 Ã 7 Í TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 37 After you have pasted the last entry to the home screen and edited it (if you chose to edit it), you can execute the entry. To execute the last entry, press Í. TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 38 When you press y [, all the expressions and instructions separated by colons are pasted to the current cursor location. You can edit any of the entries, and then execute all of them when you press Í. TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 39 (last answer). may be a real or complex number, a list, a matrix, or a string. When you turn off the TI-83 Plus, the value in retained in memory. TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 40 Z. On a blank line on the home screen, enter the function. The TI-83 Plus pastes the variable name to the screen, then the function. 5 ¥ 2 Í ¯ 9 Ë 9 Í TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 41 Calculate the area of a circle of radius 5 meters. Next, calculate the volume of a cylinder of radius 5 meters and height 3.3 meters, and then store the result in the variable V. y B 5 ¡ Í ¯ 3 Ë 3 Í ¿ ƒ V Í TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 42 When an asterisk (*) appears to the left of a menu item, that item is stored in user data archive (Chapter 18). TI-83 Plus Operating the TI-83 Plus Silver Edition TI-83 Plus operations using menus. When you , then...
  • Page 43 For example, when you press , menu is displayed as a full screen. MATH After you select an item from a menu, the screen where you are working usually is displayed again. TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 44 To wrap to the first menu item directly from the last menu item, press †. Selecting an Item from a Menu You can select an item from a menu in either of two ways. TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 45 If no items begin with that character, the cursor moves beyond it to the next item. ‡27. Calculate  † † † Í 27 ¤ Í TI-83 Plus Operating the TI-83 Plus Silver Edition , and PRGM EXEC PRGM EDIT menus, only items 1...
  • Page 46 Press a key or key combination for a different menu, such as  or y 9. Press a key or key combination for a different screen, such as o or y 0. TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 47 3: GDB... Graph database 4: Picture... Picture 5: Statistics... 6: Table... TABLE 7: String... String TI-83 Plus Operating the TI-83 Plus Silver Edition menu, press . All each access more than one 5:Statistics , and variables U/V/W , and variables ZT/Zq...
  • Page 48 Press  ~ to display the 2. Select the type of variable, such as from the 3:Polar VARS Y.VARS TI-83 Plus Operating the TI-83 Plus Silver Edition menu, press  ~. display secondary menus of the , Y n functions VARS VARS Y.VARS...
  • Page 49 ~ or | to display other secondary menus. 4. Select a variable name from the menu. It is pasted to the cursor location. TI-83 Plus Operating the TI-83 Plus Silver Edition , or 2:Zoom 5:Statistics from the...
  • Page 50 Permutations ( nPr ) and combinations ( nCr ) Multiplication, implied multiplication, and division Addition and subtraction Relational functions, such as > or  Logic operator and Logic operators or and xor TI-83 Plus Operating the TI-83 Plus Silver Edition TI-83 Plus. ‡32 , ! , ¡ ,...
  • Page 51 ) at the end of an expression. All open parenthetical elements are closed automatically at the end of an expression. This is also true for open parenthetical elements that precede the store or display-conversion instructions. TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 52 9 ¯ ¹ 7 , or if you press Ì to indicate subtraction, as in 9 Ì 7 , an error occurs. If you press ƒ A Ì ƒ B , it is interpreted as implied multiplication ( AäMB ). TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 53 Special Features of the TI-83 Plus Flash – Electronic Upgradability TI-83 Plus technology, which lets you upgrade to future software versions without buying a new calculator. As new functionality becomes available, you can electronically upgrade your TI-83 Plus from the Internet. Future software versions include...
  • Page 54 Create additional free RAM by archiving variables. By archiving variables that do not need to be edited frequently, you can free up RAM for applications that may require additional memory. TI-83 Plus Operating the TI-83 Plus Silver Edition For details, refer to: Chapter 18 TI-83 Plus...
  • Page 55 CBL 2/CBL and CBR accessories can be linked together to collect more than one type of data at the same time. You can find more information CBL 2/CBL and CBR TI-83 Plus Operating the TI-83 Plus Silver Edition TI-83 Plus in their user manuals. For details, refer to:...
  • Page 56 Sequences You can generate sequences and graph them over time. Or, you can graph them as web plots or as phase plots. TI-83 Plus Operating the TI-83 Plus Silver Edition TI-83 Plus operations. This TI-83 Plus For graphing details, refer to:...
  • Page 57 Matrices You can enter and save up to 10 matrices and perform standard matrix operations on them. TI-83 Plus Operating the TI-83 Plus Silver Edition For details, refer to: Chapter 7 For details, refer to: Chapter 9 For details, refer to:...
  • Page 58 You can perform 16 hypothesis tests and confidence intervals and 15 distribution functions. You can display hypothesis test results graphically or numerically. TI-83 Plus Operating the TI-83 Plus Silver Edition For details, refer to: Chapter 11 For details, refer to: Chapter 12...
  • Page 59 You can paste any function or instruction from to the current cursor location. CATALOG TI-83 Plus Operating the TI-83 Plus Silver Edition ) functions to for additional Flash application guidebooks. TI-83 Plus. For details, refer to:...
  • Page 60 Communication Link TI-83 Plus has a port to connect and communicate with another TI-83 Plus, a TI.83, a TI CBL 2/CBL, or a CBR System. TI-83 Plus Operating the TI-83 Plus Silver Edition TI-83 Plus, a...
  • Page 61 As future software upgrades become available on the TI web site, you can download the software to your PC and then use the TI Connect software and a cable to upgrade your TI-GRAPH LINK TI-GRAPH LINK TI-83 Plus. TI-83 Plus Operating the TI-83 Plus Silver Edition...
  • Page 62: Error Conditions

    Note: If a syntax error occurs in the contents of a Y= function during program execution, then the Goto option returns to the Y= editor, not to the program. TI-83 Plus Operating the TI-83 Plus Silver Edition detects an error, it returns an error message as a ERR:DOMAIN (or press y 5 or ‘), then the home...
  • Page 63 , if it is available. The previous screen is displayed with 2:Goto the cursor at or near the error location. 3. Determine the error. If you cannot recognize the error, refer to Appendix B. 4. Correct the expression. TI-83 Plus Operating the TI-83 Plus Silver Edition ERR: error type...
  • Page 64 Press number of coin flips. Press ¢. Press Ë enter the probability of heads. Press ¢. Press to enter the number of simulations. Press ¤. TI-83 Plus Math, Angle, and Test Operations menu. Press to select...
  • Page 65 (Chapter 12). Note: Since randBin( your list elements may differ from those in the example. TI-83 Plus Math, Angle, and Test Operations ) indicate that the list ä Í to store the data to generates random numbers,...
  • Page 66: Keyboard Math Operations

    You can use the trigonometric (trig) functions (sine, ˜; cosine, ™; and tangent, š) with real numbers, expressions, and lists. The current angle mode setting affects interpretation. For example, mode returns L.9880316241 TI-83 Plus Math, Angle, and Test Operations (subtraction, ¹), with matrices. à...
  • Page 67 (inverse, œ) with real and complex numbers, You can use expressions, lists, and matrices. The multiplicative inverse is equivalent to the reciprocal, 1à value TI-83 Plus Math, Angle, and Test Operations cos( value ) ( value ) (square, ¡), and...
  • Page 68 ) e (Constant) (constant, y [ ]) is stored as a constant on the TI-83 Plus. Press ] to copy to the cursor location. In calculations, the TI-83 Plus uses 2.718281828459 for TI-83 Plus Math, Angle, and Test Operations...
  • Page 69 ( N ), which is displayed when you press ¹. p (Pi) (Pi, y B) is stored as a constant in the TI-83 Plus. In calculations, TI-83 Plus uses 3.1415926535898 for TI-83 Plus Math, Angle, and Test Operations...
  • Page 70: Math Operations

    4Frac matrices. If the answer cannot be simplified or the resulting denominator is more than three digits, the decimal equivalent is returned. You can only use following 4Frac TI-83 Plus Math, Angle, and Test Operations menu, press . root. value...
  • Page 71 (cube root) returns the cube root of ‡( complex numbers, expressions, and lists. ‡( value ) TI-83 Plus Math, Angle, and Test Operations following value . You can use value . You can use...
  • Page 72 , variable , lower , upper fMax( expression , variable , lower , upper Note: In this guidebook, optional arguments and the commas that accompany them are enclosed in brackets ([ ]). TI-83 Plus Math, Angle, and Test Operations . You can use root...
  • Page 73 As H becomes smaller, the approximation usually becomes more accurate. You can use nDeriv( calculate , the nDeriv( nondifferentiable point. TI-83 Plus Math, Angle, and Test Operations , given the variable once in . Because of the method used to expression TI-83 Plus...
  • Page 74 , variable , lower , upper , tolerance Tip: To speed the drawing of integration graphs (when fnInt( is used in a Y= equation), increase the value of the Xres window variable before you press TI-83 Plus Math, Angle, and Test Operations...
  • Page 75: Using The Equation Solver

    1. Select from the 0:Solver 2. Enter the expression in any of three ways. TI-83 Plus Math, Angle, and Test Operations , one of two screens is displayed. is empty. menu to display the equation editor.
  • Page 76 The default lower and upper bounds appear in the last line of the editor ( bound={L1 TI-83 Plus Math, Angle, and Test Operations VARS Y.VARS variable name from the is set equal to zero and displayed on 99,1 å...
  • Page 77 You can store equations to any and then reference the variables in the equation. The interactive solver editor displays all variables of all TI-83 Plus Math, Angle, and Test Operations variables, such as VARS Y.VARS functions referenced in the equation.
  • Page 78 Also, for equations with multiple roots, the the solution that is closest to your guess. TI-83 Plus Math, Angle, and Test Operations menu to display the interactive solver MATH...
  • Page 79 The default guess is calculated as 4. Edit bound={ lower , upper } TI-83 Plus searches for a solution. This is optional, but it may help find the solution more quickly. The default is 5. Move the cursor to the variable for which you want to solve and press ƒ...
  • Page 80 When you edit any variable value, the solid squares next to the previous solution and leftNrt= diff which you now want to solve and press ƒ \. TI-83 Plus Math, Angle, and Test Operations leftNrt= disappear. Move the cursor to the variable for...
  • Page 81 Controlling the Solution for Solver or solve( TI-83 Plus solves equations through an iterative process. To control that process, enter bounds that are relatively close to the solution and enter an initial guess within those bounds. This will help to find a solution more quickly.
  • Page 82 (absolute value) returns the absolute value of real or complex abs( (modulus) numbers, expressions, lists, and matrices. abs( value ) Note: abs( is also available on the TI-83 Plus Math, Angle, and Test Operations menu, press  ~. Absolute value Round...
  • Page 83 (integer part) returns the integer part or parts of real or complex iPart( numbers, expressions, lists, and matrices. iPart( value ) (fractional part) returns the fractional part or parts of real or complex fPart( numbers, expressions, lists, and matrices. fPart( value ) TI-83 Plus Math, Angle, and Test Operations...
  • Page 84 (minimum value) returns the smaller of min( smallest element in of the smaller of each pair of elements. If compares each element in min( TI-83 Plus Math, Angle, and Test Operations . If are compared, list listA listB...
  • Page 85 When returns a list of the gcd of each pair of elements. If gcd( specified, finds the gcd of each element in gcd( TI-83 Plus Math, Angle, and Test Operations . If are compared, listA listB...
  • Page 86 , valueB ) lcm( listA , listB ) lcm( list , value ) TI-83 Plus Math, Angle, and Test Operations gcd( valueA , valueB ) gcd( listA , listB ) gcd( list , value )
  • Page 87: Entering And Using Complex Numbers

    Entering and Using Complex Numbers Complex-Number Modes TI-83 Plus displays complex numbers in rectangular form and polar form. To select a complex-number mode, press z, and then select either of the two modes. (rectangular-complex mode) a+b i (polar-complex mode) re^q i...
  • Page 88 Note about Radian Versus Degree Mode Radian mode is recommended for complex number calculations. Internally, the TI-83 Plus converts all entered trigonometric values to radians, but it does not convert values for exponential, logarithmic, or hyperbolic functions.
  • Page 89 To enter a complex number in rectangular form, enter the value of ), press à or ¹, enter the value of component press y V (constant). TI-83 Plus Math, Angle, and Test Operations is the real component, is the imaginary...
  • Page 90 To enter a complex number in polar form, enter the value of press y J (exponential function), enter the value of y V (constant), and then press ¤. magnitude e^( anglei ) TI-83 Plus Math, Angle, and Test Operations imaginary component i is the base of the natural log,...
  • Page 91 + bi ) returns r e^( Lq i ) conj( r e^( TI-83 Plus Math, Angle, and Test Operations menu, press  ~ ~. Returns the complex conjugate. Returns the real part. Returns the imaginary part.
  • Page 92 (imaginary part) returns the imaginary (nonreal) part of a complex imag( number or list of complex numbers. returns imag( a + bi ) returns r ä sin( q ) imag( r e^( TI-83 Plus Math, Angle, and Test Operations...
  • Page 93 (absolute value) returns the magnitude (modulus), abs( (real2+imag2) , of a complex number or list of complex numbers. returns abs( a + bi ) (a2+b2) returns (magnitude). abs( r e^( TI-83 Plus Math, Angle, and Test Operations...
  • Page 94 (display as polar) displays a complex result in polar form. It is valid 4Polar only at the end of an expression. It is not valid if the result is real. returns r e^( q i ) complex result 8Polar TI-83 Plus Math, Angle, and Test Operations...
  • Page 95 Tip: To generate random numbers beyond the range of 0 to 1, you can include in an expression. For example, rand < 5. TI-83 Plus Math, Angle, and Test Operations menu, press  |. (number of trials). The default for generates a random number >...
  • Page 96 (number of combinations) returns the number of combinations of taken at a time. items number integers. Both items TI-83 Plus Math, Angle, and Test Operations TI-83 Plus generates the same random- . To generate a different random-number or reset the defaults (Chapter 18). rand...
  • Page 97 ... ä1à2ä‡p, if n+1à2 is an integer ‚0 n! is an error, if neither n nor n+1à2 is an integer ‚0. (The variable n equals value in the syntax description above.) TI-83 Plus Math, Angle, and Test Operations...
  • Page 98 To generate a list of random numbers, specify an integer > 1 for (number of trials); if not specified, the default is 1. randNorm( , numtrials TI-83 Plus Math, Angle, and Test Operations integer bounds. To generate a list of lower upper (number of trials);...
  • Page 99 > 1 for (number of numsimulations simulations); if not specified, the default is 1. randBin( numtrials , prob , numsimulations Note: The seed value stored to also affects , and rand randInt( randNorm( randBin( instructions. TI-83 Plus Math, Angle, and Test Operations...
  • Page 100: Angle Operations

    DMS (degrees/minutes/seconds) entry notation comprises the degree symbol ( ), the minute symbol ( ¡ must be a real number; degrees ¡ minutes ' seconds " TI-83 Plus Math, Angle, and Test Operations menu, press y [ ANGLE Radian menu entries.
  • Page 101 ¡ degrees (minutes) designates (seconds) designates " Note: " is not on the ANGLE TI-83 Plus Math, Angle, and Test Operations , you must use so that the ¡ Radian mode mode, you can use Radian , value n }¡...
  • Page 102 (degree/minute/second) displays 8DMS setting must be Degree and seconds. 8DMS answer 8DMS TI-83 Plus Math, Angle, and Test Operations Degree answer to be interpreted as degrees, minutes, answer is valid only at the end of a line. mode, you can use in DMS format.
  • Page 103 P8Rx( converts polar coordinates to rectangular coordinates and P8Ry( returns can be lists. P8Rx( r , ), P8Ry( r , TI-83 Plus Math, Angle, and Test Operations Note: mode is set. Radian Note: mode is set. Radian...
  • Page 104: Test (Relational) Operations

    If must have the same dimensions. Relational operators are often used in programs to control program flow and in graphing to control the graph of a function over specific values. TI-83 Plus Math, Angle, and Test Operations valueA valueB...
  • Page 105 EOS rules, and then it compares 4 to 5. The expression 2+(2=2)+3 relational test first because it is in parentheses, and then it adds 2, 1, and 3. TI-83 Plus Math, Angle, and Test Operations valueA ƒ valueB valueA ‚ valueB valueA  valueB returns .
  • Page 106: Test Logic (Boolean) Operations

    , and (exclusive or) return a value of if an expression is false, according to the table below. can be real numbers, expressions, or lists. valueB TI-83 Plus Math, Angle, and Test Operations menu, press y ã TEST ä ~.
  • Page 107: Using Boolean Operations

    ) Using Boolean Operations Boolean logic is often used with relational tests. In the following program, the instructions store TI-83 Plus Math, Angle, and Test Operations returns returns returns returns (which can be an expression) is...
  • Page 108 Press  ~ to display the menu. Then press Í to select secondary menu is displayed. FUNCTION Press to select TI-83 Plus Function Graphing ¹ „ ¡ ¤ Í to ), which ) defines the TI-83 VARS Y 1:Function editor.
  • Page 109 4. To see the ZSquare p and notice the new values for , and Xmax Ymin TI-83 Plus Function Graphing . This is a 6:ZStandard . The functions are 5:ZSquare window variables, press Ymax...
  • Page 110: Defining Graphs

    Defining Graphs TI-83 Plus—Graphing Mode Similarities Chapter 3 specifically describes function graphing, but the steps shown here are similar for each TI-83 Plus graphing mode. Chapters 4, 5, and 6 describe aspects that are unique to parametric graphing, polar graphing, and sequence graphing.
  • Page 111 Window settings Format settings You can store a picture of the current graph display to any of 10 graph picture variables ( Pic1 superimpose one or more stored pictures onto the current graph. TI-83 Plus Function Graphing through GDB1 GDB9 through...
  • Page 112: Setting The Graph Modes

    To display the mode screen, press z. The default settings are highlighted below. To graph functions, you must select before you enter values for the window variables and before you enter the functions. TI-83 Plus has four graphing modes. (function graphing) Func (parametric graphing;...
  • Page 113 3. Press Í to paste the mode name to the cursor location. The mode is changed when the program is executed. TI-83 Plus Function Graphing (fixed) decimal mode affects displayed graph angle mode affects interpretation of some functions.
  • Page 114: Defining Functions

    1. Press o to display the editor. 2. Press † to move the cursor to the function you want to define or edit. To erase a function, press ‘. 3. Enter or edit the expression to define the function. TI-83 Plus Function Graphing...
  • Page 115 1. Press ƒ [ ], enter the expression, and then press ƒ [ ã again. 2. Press ¿. 3. Press  ~ TI-83 Plus Function Graphing , press „ or press ƒ [ editor. to select from the 1:Function...
  • Page 116 You can calculate the value of a list of returns a list. values Y n ( value ) Y n ({ value1,value2,value3, . . .,value n }) TI-83 Plus Function Graphing TI-83 Plus n , selects the function, and displays the function stores the expression to...
  • Page 117: Selecting And Deselecting Functions

    You can select and deselect (turn on and turn off) a function in the editor. A function is selected when the sign is highlighted. The TI-83 Plus graphs only the selected functions. You can select any or all functions through...
  • Page 118 To select or deselect a function from the home screen or a program, begin on a blank line and follow these steps. 1. Press  ~ to display the 2. Select to display the 4:On/Off TI-83 Plus Function Graphing editor). When a plot is on, its name , or Plot1 Plot2 Plot3 is turned on.
  • Page 119 5. Press Í. When the instruction is executed, the status of each function in the current mode is set and For example, in Func editor, and then turns on TI-83 Plus Function Graphing through , or ; not the variable...
  • Page 120: Setting Graph Styles For Functions

    Animate í Note: Some graph styles are not available in all graphing modes. Chapters 4, 5, and 6 list the styles for TI-83 Plus Function Graphing as a solid line, Description A solid line connects plotted points; this is the default in...
  • Page 121 4. Press Í repeatedly to rotate through the graph styles. The seven styles rotate in the same order in which they are listed in the table above. 5. Press ~, }, or † when you have selected a style. TI-83 Plus Function Graphing editor. sign, to the graph style...
  • Page 122 Note: When é or ê is selected for a Y= function that graphs a family of curves, such as , the four shading patterns rotate for each member of the Y1={1,2,3}X family of curves. TI-83 Plus Function Graphing TI-83 Plus rotates...
  • Page 123 = ê (below) = ë (path) GraphStyle( function#,graphstyle# ) For example, when this program is executed in sets GraphStyle(1,3) TI-83 Plus Function Graphing function name in the current is an integer from = é (above) = ì (animate) to é (above).
  • Page 124: Setting The Viewing Window Variables

    Setting the Viewing Window Variables The TI-83 Plus Viewing Window The viewing window is the portion of the coordinate plane defined by , and Xmin Xmax Ymin tick marks on the x-axis. marks on the y-axis. To turn off tick marks, set...
  • Page 125 Move the cursor to a specific digit, and then edit it. 3. Press Í, †, or }. If you entered an expression, the evaluates it. The new value is stored. Note: < Xmin Xmax TI-83 Plus Function Graphing < must be true in order to graph. Ymin Ymax TI-83 Plus...
  • Page 126 5. Select the window variable to which you want to store a value. The name of the variable is pasted to the current cursor location. 6. Press Í to complete the instruction. TI-83 Plus Function Graphing menu. VARS to display the...
  • Page 127 (graphing accuracy). are calculated from Xmin graph. (Xmax N Xmin) You can store values to calculated from Xmin TI-83 Plus Function Graphing TI-83 Plus (items on the , and Xmax Ymin (Ymax N Ymin) .
  • Page 128: Setting The Graph Format

    To change a format setting, follow these steps. 1. Press †, ~, }, and | as necessary to move the cursor to the setting you want to select. 2. Press Í to select the highlighted setting. TI-83 Plus Function Graphing graphing mode has an...
  • Page 129 CoordOn of the graph. If ExprOff displayed in the top-right corner. (coordinates off) does not display the function number or CoordOff coordinates. TI-83 Plus Function Graphing setting determines which variables are updated ; if format is selected, CoordOn , and ;...
  • Page 130 AxesOn does not display the axes. AxesOff This overrides the format setting. LabelOff LabelOn LabelOff, LabelOn determine whether to display labels for the axes ( LabelOff LabelOn ), if format is also selected. AxesOn TI-83 Plus Function Graphing...
  • Page 131 ExprOn corner of the graph screen. When ExprOff CoordOn corner specifies which function is being traced. TI-83 Plus Function Graphing determine whether to display the both are selected, the number in the top-right expression...
  • Page 132: Displaying Graphs

    Press É to stop; then press s to redraw. Smart Graph Smart Graph is a TI-83 Plus immediately when you press s, but only if all graphing factors that would cause replotting have remained the same since the graph was last displayed.
  • Page 133 If you performed any of these actions since the graph was last displayed, TI-83 Plus will replot the graph based on new values when you press Changed a mode setting that affects graphs Changed a function in the current picture...
  • Page 134 Graphing a Family of Curves If you enter a list (Chapter 11) as an element in an expression, the TI-83 Plus plots the function for each value in the list, thereby graphing a family of curves. In Simul sequentially for the first element in each list, and then for the second, and so on.
  • Page 135 The free-moving cursor moves from pixel to pixel on the screen. When you move the cursor to a pixel that appears to be on the function, the cursor may be near, but not actually on, the function. The coordinate TI-83 Plus Function Graphing...
  • Page 136 *accurate to within the width and height of the pixel. As Xmin Xmax ) graphing accuracy increases, and the coordinate values more closely approximate the math coordinates. TI-83 Plus Function Graphing , and get closer together (as in a Ymin Ymax Free- moving cursor “on”...
  • Page 137: Exploring Graphs With Trace

    Five plotted points on a function ( Xres affects this), To any valid X value on a function, From one function to another, TI-83 Plus Function Graphing editor, at the middle expression is displayed in the top-left format is selected.
  • Page 138 When you enter the first digit, an number you entered are displayed in the bottom-left corner of the screen. You can enter an expression at the TI-83 Plus Function Graphing . If the function is undefined at an...
  • Page 139 While tracing, you can press Í to adjust the viewing window so that the cursor location becomes the center of the new viewing window, even if the cursor is above or below the display. This allows panning up and down. After Quick Zoom, the cursor remains in TRACE TI-83 Plus Function Graphing...
  • Page 140 As you trace, the cursor coordinate values are updated. When you finish tracing the functions, press Í to resume program execution. TI-83 Plus Function Graphing...
  • Page 141: Exploring Graphs With The Zoom Instructions

    Sets the built-in trig window variables. 8:ZInteger Sets integer values on the 9:ZoomStat Sets the values for current stat lists. 0:ZoomFit Fits YMin TI-83 Plus Function Graphing menu, press q. You can adjust the viewing to 0.1. between YMax XMin instructions are ZOOM axes.
  • Page 142 3. Press |, }, ~, or †. As you move the cursor, the sides of the box lengthen or shorten proportionately on the screen. Note: To cancel ZBox 4. When you have defined the box, press Í to replot the graph. TI-83 Plus Function Graphing , or 2:Zoom In 3:Zoom Out...
  • Page 143 1. Check XFact 2. Select 2:Zoom In 3. Move the zoom cursor to the point that is to be the center of the new viewing window. TI-83 Plus Function Graphing , press ‘. ZBox XFact YFact ; change as needed.
  • Page 144 ZDecimal variables to preset values, as shown below. These values set equal to and set the Xmin=L4.7 Xmax=4.7 Xscl=1 TI-83 Plus Function Graphing TI-83 Plus adjusts the viewing window by 3:Zoom Out , press ‘. Zoom Out value of each pixel to one decimal place.
  • Page 145 Those preset values in Radian Xmin=L(47à24)p Xmax=(47à24)p Xscl=p/2 TI-83 Plus Function Graphing , which makes the graph of a circle look @X=@Y remain unchanged. The midpoint of the Yscl Ymin=L10...
  • Page 146 For regular and modified box plots, only are adjusted. ZoomFit replots the functions immediately. ZoomFit to include the minimum and maximum YMax functions between the current changed. TI-83 Plus Function Graphing Xscl=10 Yscl=10 XMin XMax replots the ZInteger Xmin...
  • Page 147: Using Zoom Memory

    ZOOM , and ZYscl ZXres These variables apply to all graphing modes. For example, changing the value of ZXmin Func TI-83 Plus Function Graphing menu, press q ~. variables ZXmin ZXmax mode also changes it in instruction. ZOOM...
  • Page 148 Zoom Out point. Checking XFact and YFact To display the screen, where you can review the current ZOOM FACTORS values for , select from the XFact YFact 4:SetFactors ZOOM MEMORY menu. The values shown are the defaults. TI-83 Plus Function Graphing...
  • Page 149 From the home screen or a program, you can store directly to any of the user-defined variables. ZOOM From a program, you can select the from the ZOOM MEMORY TI-83 Plus Function Graphing in either of two ways. YFact ZoomSto menu. instructions...
  • Page 150 Note: When a value is displayed for value is displayed, press ‘ to cancel the TI-83 Plus Function Graphing menu, press y ã CALC , press ‘ to clear the value. When no value ä.
  • Page 151 } or †. To restore the free-moving cursor, press | or ~. zero finds a zero (x-intercept or root) of a function using zero can have more than one x-intercept value; your guess. TI-83 Plus Function Graphing , follow these steps. menu. The graph is displayed with CALCULATE zero...
  • Page 152 Press | or ~ (or enter a value) to select the x-value for the right bound, and then press Í. A graph screen shows the right bound. bottom-left corner. TI-83 Plus Function Graphing menu. The current graph is CALCULATE in the bottom-left corner.
  • Page 153 1. Select 3:minimum current graph is displayed. 2. Select the function and set left bound, right bound, and guess as described for zero TI-83 Plus Function Graphing find a minimum or maximum of a function within from the 4:maximum menu. The...
  • Page 154 First curve? 2. Press † or }, if necessary, to move the cursor to the first function, and then press Í. corner. TI-83 Plus Function Graphing format; Minimum . The intersection must appear on the display to use from the menu.
  • Page 155 3. Press | or ~ (or enter a value) to select the calculate the derivative, and then press Í. The cursor is on the solution and the numerical derivative is displayed. TI-83 Plus Function Graphing is displayed in the bottom-left Intersection menu.
  • Page 156 . The integral value is displayed, and the integrated area is zero shaded. Note: The shaded area is a drawing. Use that invokes Smart Graph to clear the shaded area. TI-83 Plus Function Graphing function, with a tolerance of H=1âL3. fnInt( menu. The current graph is CALCULATE in the bottom-left corner.
  • Page 157 For initial velocity v horizontal and vertical components. Horizontal: X1(t)=tv The vertical and horizontal vectors of the ball’s motion also will be graphed. Vertical vector: Horizontal vector: Gravity constant: TI-83 Plus Parametric Graphing cos(q) Vertical: Y1(t)=tv X2(t)=0 X3(t)=X1(t) g=9.8 m/sec sin(q)N...
  • Page 158 The vertical component vector is defined by Í to define 4. Press 5. Press  ~ to display the Press to display the Í to define menu. Press TI-83 Plus Parametric Graphing „ ™ in terms of ¤ ¹ VARS Y.VARS secondary PARAMETRIC Simul menu.
  • Page 159 Tmin=0 Tmax=5 Tstep=.1 9. Press y . † † † ~ Í to set , which turns off the axes. AxesOff TI-83 Plus Parametric Graphing Í to Í to define . Press } Í Í to . (These keystrokes assume...
  • Page 160 The values for (height), and (time) are displayed at the bottom of the screen. TI-83 Plus Parametric Graphing and Y on the first parametric Tmin ). As you press ~ to trace...
  • Page 161: Defining And Displaying Parametric Graphs

    Defining and Displaying Parametric Graphs TI-83 Plus Graphing Mode Similarities The steps for defining a parametric graph are similar to the steps for defining a function graph. Chapter 4 assumes that you are familiar with Chapter 3: Function Graphing. Chapter 4 details aspects of parametric graphing that differ from function graphing.
  • Page 162 Press „. Press ƒ ã ä. Two components, must define both of them. TI-83 Plus Parametric Graphing through . A common application of parametric through represent the graph style of each . In graphing mode, you can enter the in either of two ways.
  • Page 163 Selecting and Deselecting Parametric Equations TI-83 Plus graphs only the selected parametric equations. In the editor, a parametric equation is selected when the components are highlighted. You may select any or all of the equations To change the selection status, move the cursor onto the = sign of either component and press Í.
  • Page 164 Window Variables and Y.VARS Menus You can perform these actions from the home screen or a program. Access functions by using the name of the equation as a variable. TI-83 Plus Parametric Graphing graphing mode has an additional axes TI-83 Plus...
  • Page 165 Store parametric equations. Select or deselect parametric equations. Store values directly to window variables. TI-83 Plus Parametric Graphing...
  • Page 166: Exploring Parametric Graphs

    RectGC TRACE format is on. CoordOn format, PolarGC selected, , and calculated from TI-83 Plus Parametric Graphing graphing works the same as in are displayed. , and are updated; if TRACE updates and displays the values of are updated; if are displayed.
  • Page 167 You can enter an expression at the prompt. The value must be valid for the current viewing window. When you have completed the entry, press Í to move the cursor. TI-83 Plus Parametric Graphing...
  • Page 168 1:ZTmin 2:ZTmax graphing. CALC operations in CALC menu items available in CALCULATE , and 3:dy/dt 4:dx/dt TI-83 Plus Parametric Graphing graphing work the same as in , and ) and Xscl , and Tmin Tmax . The secondary menu VARS ZOOM...
  • Page 169 † † † ~ ~ Í to select mode. Select the defaults (the options on the left) for the other mode settings. 2. Press o to display the polar ˜ „ ¤ Í to define TI-83 Plus Polar Graphing graphing editor. Press...
  • Page 170 6. Repeat steps 2 through 5 with new values for the variables . Observe how the new values affect =Asin(Bq) the graph. TI-83 Plus Polar Graphing and graph 6:ZStandard and defines the window, and plot the 5:ZSquare...
  • Page 171: Defining And Displaying Polar Graphs

    Defining and Displaying Polar Graphs TI-83 Plus Graphing Mode Similarities The steps for defining a polar graph are similar to the steps for defining a function graph. Chapter 5 assumes that you are familiar with Chapter 3: Function Graphing. Chapter 5 details aspects of polar graphing that differ from function graphing.
  • Page 172 Press „. Press ƒ ãqä. Selecting and Deselecting Polar Equations TI-83 Plus graphs only the selected polar equations. In the a polar equation is selected when the select any or all of the equations. TI-83 Plus...
  • Page 173 Ymin=L10 Ymax=10 Yscl=1 Note: To ensure that sufficient points are plotted, you may want to change the q window variables. TI-83 Plus Polar Graphing Smallest q value to evaluate Largest q value to evaluate (2p) Increment between q values (pà24)
  • Page 174 To display the current graph format settings, press y .. Chapter 3 describes the format settings in detail. The other graphing modes share these format settings. Displaying a Graph When you press s, the TI-83 Plus plots the selected polar equations. It evaluates for each value of (from...
  • Page 175 Store polar equations. Select or deselect polar equations. Store values directly to window variables. TI-83 Plus Polar Graphing...
  • Page 176: Exploring Polar Graphs

    To move five plotted points at a time on a function, press y | or y ~. If you move the trace cursor beyond the top or bottom of the TI-83 Plus Polar Graphing graphing works the same as in format, moving the cursor updates the values of are updated;...
  • Page 177 ( when you select ZStandard , and 4:Zqmin 5:Zqmax graphing. TI-83 Plus Polar Graphing graphing mode; panning is not (Chapter 3). value on the current function, graphing work the same as in , and ) and Xscl...
  • Page 178 CALC operations in graphing work the same as in graphing. The Func CALC menu items available in graphing are , and 1:value 2:dy/dx CALCULATE 3:dr/dq TI-83 Plus Polar Graphing...
  • Page 179 Will the forest size stabilize? If so, in how many years and with how many trees? 1. Press z. Press † † † ~ ~ ~ Í to select graphing mode. 2. Press y . and select format if necessary. ExprOn TI-83 Plus Sequence Graphing axes format Time...
  • Page 180 5. Press p to set n Max=50 n Min size over 50 years. Set the other window variables. PlotStart=1 PlotStep=1 TI-83 Plus Sequence Graphing is displayed, í to select (integer part) iPart( ] £ „ ¹ ¤ to define .
  • Page 181 The values (number of years), plotted on the x-axis), and displayed at the bottom. When will the forest stabilize? With how many trees? TI-83 Plus Sequence Graphing (the start n Min , because...
  • Page 182: Defining And Displaying Sequence Graphs

    Sequence graphs automatically plot in current plotting-order mode setting. TI-83 Plus Sequence Functions u, v, and w TI-83 Plus has three sequence functions that you can enter from the keyboard: , and...
  • Page 183 In this editor, you can display and enter sequences for . Also, you can edit the value for w( n ) window variable that defines the minimum TI-83 Plus Sequence Graphing u( n N1) are also true for u( n )
  • Page 184 Dot, ç (line), and è (thick) styles are available for sequence graphing. Graph styles are ignored in Selecting and Deselecting Sequence Functions TI-83 Plus graphs only the selected sequence functions. In the editor, a sequence function is selected when the are highlighted.
  • Page 185 Nonrecursive Sequences In a nonrecursive sequence, the independent variable TI-83 Plus Sequence Graphing , press y [ , press y [ , press y [ th term is a function of the .
  • Page 186 N2) defined in relation to , as in u( n )=u( n N1)+ n . For example, in the sequence below you cannot calculate without u(5) first calculating , and u(1) u(2) u(3) u(4) TI-83 Plus Sequence Graphing...
  • Page 187 ({ }) with commas separating the values. The value of the first term is 0 and the value of the second term is 1 for the sequence u( n ) TI-83 Plus Sequence Graphing , the sequence above returns u( n Min) = 1 , press y [ ] £...
  • Page 188 Min sequence editor. are evaluated at u( n Min) TI-83 Plus Sequence Graphing angle modes. Smallest n value to evaluate Largest n value to evaluate First term number to be plotted Incremental n value (for graphing only)
  • Page 189 If you specify each consecutive integer, but it is plotted on the graph only at every other integer. TI-83 Plus Sequence Graphing PlotStart=1 . The first four terms are PlotStart=5 value for graphing only.
  • Page 190: Selecting Axes Combinations

    Setting Axes Format For sequence graphing, you can select from five axes formats. The table below shows the values that are plotted on the x-axis and y-axis for each axes setting. TI-83 Plus Sequence Graphing mode. Type of sequence plot (axes)
  • Page 191 Axes Setting Time Displaying a Sequence Graph To plot the selected sequence functions, press s. As a graph is plotted, the TI-83 Plus Smart Graph applies to sequence graphs (Chapter 3). TI-83 Plus Sequence Graphing x-axis u( n N1) , v( n N1) , w( n N1)
  • Page 192: Exploring Sequence Graphs

    Quick Zoom applies to all directions. To center the viewing window on the current cursor location after you have moved the trace cursor, press Í. The trace cursor returns to TI-83 Plus Sequence Graphing graphing works the same as in format, moving the cursor updates the values of are updated;...
  • Page 193 You can enter an expression at the prompt. The value must be valid for the current viewing window. When you have completed the entry, press Í to move the cursor. TI-83 Plus Sequence Graphing...
  • Page 194 ) When , or according to the axes format setting. For example, for represents u( n ) TI-83 Plus Sequence Graphing graphing work the same as in , and ) and Xscl , and...
  • Page 195 Calculate the nth value in a sequence. Calculate a list of values in a sequence. Generate a sequence with default is 1. TI-83 Plus Sequence Graphing , press y [ u( nstart , nstop [, nstep ]) nstep...
  • Page 196: Graphing Web Plots

    It must be recursive with only one recursion level ( u( n N2) It cannot reference It cannot reference any defined sequence except itself. TI-83 Plus Sequence Graphing , which you can use to study long-term directly. but not...
  • Page 197 1. It starts on the x-axis at the initial value 2. It moves vertically (up or down) to the sequence. 3. It moves horizontally to the 4. It repeats this vertical and horizontal movement as you continue to press ~. TI-83 Plus Sequence Graphing format. AxesOn u( n N1)
  • Page 198: Using Web Plots To Illustrate Convergence

    í (dot), and then define as shown below. 2. Press y . Í to set 3. Press p and set the variables as shown below. n Min=1 n Max=25 PlotStart=1 PlotStep=1 TI-83 Plus Sequence Graphing axes format. Time Xmin=0 Ymin=L10 Xmax=25 Ymax=10...
  • Page 199 When you press ~ again, the value remains the same, and the cursor moves to the reference line. This pattern repeats as you trace the web. TI-83 Plus Sequence Graphing Xmax=10 ), and u( n N1) axes setting.
  • Page 200: Graphing Phase Plots

    This example uses the model to determine the equilibrium populations of foxes and rabbits, with initial populations of 200 rabbits ( foxes ( v( n Min) TI-83 Plus Sequence Graphing , and show relationships between , and then press Í.
  • Page 201 1. Press o in mode to display the sequence sequences and initial values for R the sequence R 2. Press y . Í to select TI-83 Plus Sequence Graphing n N1 and W and enter the sequence W u( n ) Time (.05)
  • Page 202 ) over time ( v( n ) Tip: Press a number, and then press Í to jump to a specific n value (month) while in TRACE 6. Press y . ~ ~ Í to select TI-83 Plus Sequence Graphing Xmin=0 Ymin=0 Xmax=400 Ymax=300...
  • Page 203 Xmin=84 Xmax=237 Xscl=50 8. Press r. Trace both the number of rabbits ( foxes ( ) through 400 generations. TI-83 Plus Sequence Graphing Ymin=25 Ymax=75 Yscl=10 Note: When you press r, the equation is displayed in the top-left corner. Press } or †...
  • Page 204 Comparing TI-83 Plus and TI-82 Sequence Variables Sequences and Window Variables Refer to the table if you are familiar with the TI-82. It shows sequences and sequence window variables, as well as their TI-82 counterparts. TI-83 Plus In the Y= editor:...
  • Page 205 Keystroke Differences Between TI-83 Plus and TI-82 Sequence Keystroke Changes Refer to the table if you are familiar with the TI-82. It compares TI-83 Plus sequence-name syntax and variable syntax with TI.82 sequence-name syntax and variable syntax. TI-83 Plus / TI-82...
  • Page 206 2. Press o. Press „  Then press ¹ 3. Press y - to display the screen. Press Ì Í to set Press TI-83 Plus Tables N 2X at each integer between L10 and 10. How many Func to select „ to enter the function TABLE SETUP Í...
  • Page 207 (automatically generated dependent values). 4. Press y 0 to display the table screen. 5. Press † until you see the sign changes in the value of . How many sign changes occur, and at what values? TI-83 Plus Tables Indpnt: Auto Depend: Auto...
  • Page 208: Setting Up The Table

    TblStart automatically (when @Tbl (table step) defines the increment for the independent variable. Note: In mode, both TI-83 Plus Tables screen, press y -. is selected). Indpnt: Auto must be integers. @Tbl...
  • Page 209 TblZnput When you press y - in the program editor, you can select IndpntAuto IndpntAsk TI-83 Plus Tables Table Characteristics Values are displayed automatically in both the independent-variable column and in all dependent- variable columns.
  • Page 210: Defining The Dependent Variables

    2. Press } until the cursor is on the function name at the top of the column. The function is displayed on the bottom line. TI-83 Plus Tables function from the table editor, follow these steps.
  • Page 211 4. Press Í or †. The new values are calculated. The table and the function are updated automatically. Note: You also can use this feature to view the function that defines a dependent variable without having to leave the table. TI-83 Plus Tables...
  • Page 212: Displaying The Table

    Independent and Dependent Variables The current graphing mode determines which independent and dependent variables are displayed in the table (Chapter 1). In the table above, for example, the independent variable variables TI-83 Plus Tables Current cell Current cell’s full value are displayed because...
  • Page 213 } and † in the independent- Indpnt: Auto variable column to display more values. As you scroll the column, the corresponding dependent-variable values also are displayed. All dependent-variable values may not be displayed if selected. TI-83 Plus Tables Independent Variable ClrTable from the 9:ClrTable...
  • Page 214: Displaying Other Dependent Variables

    Y= functions, go to the Y= editor and deselect the Y= functions between the two you want to display. For example, to simultaneously display Y and Y on the table, go to the Y= editor and deselect Y TI-83 Plus Tables generates and displays values of TblStart=0 @Tbl=1 split-screen mode set.
  • Page 215 Before you begin, select from the mode screen, if necessary. 1. Press o to display the „ ¤ to store 2. Press q to select the equation in the Zoom Trig window. TI-83 Plus Draw Instructions mode Radian Func editor. Press ˜ sin(X)
  • Page 216 3. Press y < tangent instruction is initiated. 4. Press y C ¤ ¥ 5. Press Í. The tangent line is drawn; the value and the tangent-line equation are displayed on the graph. TI-83 Plus Draw Instructions to select 5:Tangent( . The...
  • Page 217: Using The Draw Menu

    Shades an area between two functions. 8:DrawInv Draws the inverse of a function. 9:Circle( Draws a circle. 0:Text( Draws text on a graph screen. A:Pen Activates the free-form drawing tool. TI-83 Plus Draw Instructions menu, press y <. The TI-83 Plus’s...
  • Page 218 Drawing on a Graph You can use any DRAW , and Func The coordinates for all and y-coordinate values. TI-83 Plus Draw Instructions editor. editor. ClrDraw menu instructions except graphs. is valid only in DrawInv instructions are the display’s x-coordinate...
  • Page 219 You also can execute these instructions from the home screen or from within a program. If a graph is not displayed when you select a DRAW menu instruction, the home screen is displayed. TI-83 Plus Draw Instructions...
  • Page 220: Clearing Drawings

    ClrDraw and displays the message . When you display the graph again, all Done drawn points, lines, circles, and shaded areas will be gone. Note: Before you clear drawings, you can store them with StorePic TI-83 Plus Draw Instructions...
  • Page 221: Drawing Line Segments

    3. Move the cursor to the point where you want the line segment to end. The line is displayed as you move the cursor. Press Í. To continue drawing line segments, repeat steps 2 and 3. To cancel , press ‘. Line( TI-83 Plus Draw Instructions menu. DRAW...
  • Page 222 Drawing a Line Segment from the Home Screen or a Program also draws a line segment between the coordinates ( ) and Line( X1,Y1 ). The values may be entered as expressions. X2,Y2 Line( X1,Y1,X2,Y2 ) To erase a line segment, enter Line( X1,Y1,X2,Y2, 0) TI-83 Plus Draw Instructions...
  • Page 223: Drawing Horizontal And Vertical Lines

    (for vertical lines) through which you want the drawn line to pass. 3. Press Í to draw the line on the graph. To continue drawing lines, repeat steps 2 and 3. To cancel Horizontal TI-83 Plus Draw Instructions from the 4:Vertical , press ‘. Vertical menu.
  • Page 224 (vertical line) draws a vertical line at can be an expression Vertical but not a list. Vertical x To instruct the TI-83 Plus to draw more than one horizontal or vertical line, separate each instruction with a colon ( TI-83 Plus Draw Instructions...
  • Page 225: Drawing Tangent Lines

    4. Press Í. In Func drawn is displayed on the bottom of the screen, along with the equation of the tangent line. In all other modes, the displayed. TI-83 Plus Draw Instructions from the menu. DRAW is selected.
  • Page 226: Drawing A Tangent Line From The Home Screen Or A Program

    Drawing a Tangent Line from the Home Screen or a Program (tangent line) draws a line tangent to in terms of Tangent( expression such as , at point can be an expression. value expression interpreted as being in mode. Func Tangent( expression , value ) TI-83 Plus Draw Instructions...
  • Page 227: Drawing Functions And Inverses

    When you select from the menu, the 6:DrawF DRAW TI-83 Plus returns to the home screen or the program editor. is not DrawF interactive. DrawF expression Note: You cannot use a list in expression to draw a family of curves.
  • Page 228 DrawInv expression Note: You cannot use a list in expression to draw a family of curves. TI-83 Plus Draw Instructions...
  • Page 229: Shading Areas On A Graph

    Xright shading. Xleft Xright which are the defaults. specifies one of four shading patterns. pattern pattern pattern pattern pattern TI-83 Plus Draw Instructions 7:Shade( in terms of upperfunc lowerfunc must be numbers between vertical (default) horizontal negative—slope 45¡ positive—slope 45¡...
  • Page 230 Shade( lowerfunc,upperfunc[,Xleft,Xright,pattern,patres] ) TI-83 Plus Draw Instructions shades every pixel (default) shades every second pixel shades every third pixel shades every fourth pixel shades every fifth pixel shades every sixth pixel shades every seventh pixel...
  • Page 231: Drawing Circles

    Note: This circle is displayed as circular, regardless of the window variable values, because you drew it directly on the display. When you use the instruction from the home screen or a program, the current window variables may distort the shape. TI-83 Plus Draw Instructions menu. DRAW...
  • Page 232 Circle( window values may distort the drawn circle. Use (Chapter 3) before ZSquare drawing the circle to adjust the window variables and make the circle circular. TI-83 Plus Draw Instructions...
  • Page 233: Placing Text On A Graph

    Placing Text on a Graph from the Home Screen or a Program places on the current graph the characters comprising Text( can include TI-83 Plus the first character is at pixel ( 0 and 57 and column can be expressions.
  • Page 234 ( ), or it can be an value " expression. The TI-83 Plus will evaluate an expression and display the result with up to 10 characters. Split Screen On a split screen, the maximum value for is 25.
  • Page 235: Using Pen To Draw On A Graph

    4. Press Í to turn off the pen. For example, was used to create the arrow pointing to the local minimum of the selected function. TI-83 Plus Draw Instructions menu. DRAW Note: To continue drawing on the graph, move the cursor to a new position where you want to begin drawing again, and then repeat steps 2, 3, and 4.
  • Page 236: Drawing Points On A Graph

    To draw a point on a graph, follow these steps. 1. Select from the 1:Pt.On( 2. Move the cursor to the position where you want to draw the point. TI-83 Plus Draw Instructions menu, press y < ~. The menu. DRAW POINTS TI-83 Plus’s...
  • Page 237 2:Pt.Off( DRAW POINTS 2. Move the cursor to the point you want to erase. 3. Press Í to erase the point. To continue erasing points, repeat steps 2 and 3. To cancel Pt.Off( press ‘. TI-83 Plus Draw Instructions...
  • Page 238 Pt.On( toggles the point on or off. Pt.Change( point’s appearance; specify (dot; default) ¦ Pt.On( x,y[,mark] ) Pt.Off( x,y[,mark] ) Pt.Change( x,y ) TI-83 Plus Draw Instructions (point change) from the mark , or , where: (box) › menu. DRAW POINTS Pt.Change(...
  • Page 239 Note: If you specified mark to turn on a point with , you must specify mark Pt.On( when you turn off the point with does not have the mark Pt.Off(. Pt.Change( option. TI-83 Plus Draw Instructions...
  • Page 240: Drawing Pixels

    Drawing Pixels TI-83 Plus Pixels A pixel is a square dot on the TI-83 Plus display. The (pixel) Pxl. instructions let you turn on, turn off, or reverse a pixel (dot) on the graph using the cursor. When you select a pixel instruction from the...
  • Page 241 Pxl.Off( Pxl.Change( On a split screen, the maximum value for value for is 46 for column TI-83 Plus Draw Instructions must be an integer between 0 and 94. , and pxl.Test( Pxl.On( Pxl.Off( ) is turned on or 0 if...
  • Page 242 You can store up to 10 graph pictures, each of which is an image of the current graph display, in picture variables Later, you can superimpose the stored picture onto a displayed graph from the home screen or a program. TI-83 Plus Draw Instructions menu, press y < |. When you select an menu, the TI-83 Plus Stores the current picture.
  • Page 243 1:StorePic current cursor location. 2. Enter the number (from you want to store the picture. For example, if you enter TI-83 Plus will store the picture to Note: You also can select a variable from the ( ). The variable is pasted next to 3.
  • Page 244 2:RecallPic current cursor location. 2. Enter the number (from you want to recall a picture. For example, if you enter TI-83 Plus will recall the picture stored to Note: You also can select a variable from the ( ). The variable is pasted next to 3.
  • Page 245: Storing Graph Databases (Gdb)

    Storing a Graph Database To store a graph database, follow these steps. 1. Select 3:StoreGDB the current cursor location. TI-83 Plus Draw Instructions ) contains the set of elements that defines a s in variables GDB1 editor and the selection status of each...
  • Page 246 2. Enter the number (from want to store the graph database. For example, if you enter TI-83 Plus will store the Note: You also can select a variable from the ( 3 ). The variable is pasted next to StoreGDB .
  • Page 247: Recalling Graph Databases (Gdb)

    ( 3 ). The variable is pasted next to RecallGDB . 3. Press Í to replace the current new graph is not plotted. The automatically, if necessary. TI-83 Plus Draw Instructions , it replaces all existing functions to another database before...
  • Page 248: Deleting A Graph Database

    Deleting a Graph Database To delete a from memory, use the MEMORY MANAGEMENT/DELETE secondary menu (Chapter 18). TI-83 Plus Draw Instructions...
  • Page 249 Press † † † † ~ ~ Í to select (graph-table) split-screen mode. 2. Press y . to display the format screen. Press † † † † † ~ Í to select TI-83 Plus Split Screen mode. Press † Degree...
  • Page 250 15 angle increment. As you trace around the circle in steps of 15 , an approximation of the standard value for each angle is highlighted in the table. TI-83 Plus Split Screen editor for . Press ˜ „ ¤ Í...
  • Page 251: Using Split Screen

    (horizontal) to display the graph screen and another Horiz screen split horizontally. Select (graph-table) to display the graph screen and table screen split vertically. The split screen is activated when you press any key that applies to either half of the split screen. TI-83 Plus Split Screen...
  • Page 252 For example, if you press r, the cursor is placed in the half in which the graph is displayed. If you press y 0, the cursor is placed in the half in which the table is displayed. TI-83 Plus will remain in split-screen mode until you change back to screen mode.
  • Page 253: Horiz (Horizontal) Split Screen

    The top half displays the graph. The bottom half displays any of these editors. Home screen (four lines) editor (four lines) Stat list editor (two rows) Window editor (three settings) Table editor (two rows) TI-83 Plus Split Screen...
  • Page 254 To return to the Horiz press any key or key combination that displays the graph, home screen, editor, stat list editor, window editor, or table editor. TI-83 Plus Split Screen operation. CALC split screen from a full screen when in split-screen mode.
  • Page 255: G.t (Graph-Table) Split Screen

    Moving from Half to Half in G.T Mode To use the left half of the split screen: Press s or r. Select a ZOOM To use the right half of the split screen, press y 0. TI-83 Plus Split Screen operation. CALC...
  • Page 256: Using R In G.t Mode

    All screens other than the graph and the table are displayed as full screens in split-screen mode. To return to the split screen from a full screen when in mode, press any key or key combination that displays the graph or the table. TI-83 Plus Split Screen...
  • Page 257: Ti-83 Plus Pixels In Horiz And G.t Modes

    TI-83 Plus Pixels in Horiz and G.T Modes TI-83 Plus Pixels in Horiz and G.T Modes Note: Each set of numbers in parentheses above represents the row and column of a corner pixel, which is turned on. DRAW POINTS Menu Pixel Instructions Pxl.On(...
  • Page 258 The instruction is pasted to the cursor location. The mode is set when the instruction is encountered during program execution. It remains in effect after execution. Note: You also can paste from the (Chapter 15). CATALOG TI-83 Plus Split Screen must be {45; column must be {4; column must be {8;...
  • Page 259 Í to enter the first element. The 3. Press rectangular cursor moves to the second column of the first row. TI-83 Plus Matrices rref( to obtain the reduced row-echelon form. to select 1: [A] ) indicate additional...
  • Page 260 MATRX NAMES reduced row-echelon form of the matrix is displayed and stored in 1X N 1Z = L3 therefore 1Y + 2Z = 3 therefore TI-83 Plus Matrices Í to complete the Í Í to enter to copy B:rref( rref(...
  • Page 261: Defining A Matrix

    What Is a Matrix? A matrix is a two-dimensional array. You can display, define, or edit a matrix in the matrix editor. The TI-83 Plus has 10 matrix variables, through . You can define a matrix directly in an expression. A matrix, depending on available memory, may have up to 99 rows or columns.
  • Page 262 The cursor moves to the column dimension, which you must accept or change the same way you accepted or changed the row dimension. When you press Í, the rectangular cursor moves to the first matrix element. TI-83 Plus Matrices MATRX EDIT ×...
  • Page 263: Viewing And Editing Matrix Elements

    This is an 8 × 4 matrix. Ellipses in the left or right column indicate additional columns. in the right column indicate additional rows. TI-83 Plus Matrices...
  • Page 264 The full value of the highlighted element is displayed on the bottom line. Select the matrix from the menu, and then enter or accept the MATRX EDIT dimensions. TI-83 Plus Matrices...
  • Page 265 In editing context, an edit cursor is active on the bottom line. To edit a matrix element value, follow these steps. 1. Select the matrix from the the dimensions. TI-83 Plus Matrices Function Moves the rectangular cursor within the current row Moves the rectangular cursor within the current column;...
  • Page 266 You may enter an expression, which is evaluated when you leave editing context. Note: You can press ‘ Í to restore the value at the rectangular cursor if you make a mistake. 5. Press Í, }, or † to move to another element. TI-83 Plus Matrices...
  • Page 267 | or ~ † or } Í ‘ Any entry character TI-83 Plus Matrices Function Moves the edit cursor within the value Stores the value displayed on the bottom line to the matrix element; switches to viewing context and moves...
  • Page 268: Using Matrices With Expressions

    ] to indicate the beginning of a row. 3. Enter a value, which can be an expression, for each element in the row. Separate the values with commas. 4. Press y [ ] to indicate the end of a row. TI-83 Plus Matrices menu. MATRX NAMES...
  • Page 269 The resulting matrix is displayed in the form: [[ element1,1 , , element1,n ], Any expressions are evaluated when the entry is executed. Note: The commas that you must enter to separate elements are not displayed on output. TI-83 Plus Matrices ,[ elementm,1 , , elementm,n ]]...
  • Page 270: Displaying And Copying Matrices

    Press ~, |, †, and } to scroll the matrix. Copying One Matrix to Another To copy a matrix, follow these steps. 1. Press y > to display the menu. MATRX NAMES 2. Select the name of the matrix you want to copy. TI-83 Plus Matrices...
  • Page 271 On the home screen or from within a program, you can store a value to, or recall a value from, a matrix element. The element must be within the currently defined matrix dimensions. Select from the matrix MATRX NAMES menu. [ matrix ]( row , column ) TI-83 Plus Matrices...
  • Page 272: Using Math Functions With Matrices

    Using Math Functions with Matrices Using Math Functions with Matrices You can use many of the math functions on the TI-83 Plus keyboard, the menu, the menu, and the menu with matrices. MATH MATH NUM MATH TEST However, the dimensions must be appropriate. Each of the functions below creates a new matrix;...
  • Page 273 ä value value ä matrix L (Negation) Negating a matrix (Ì) returns a matrix in which the sign of every element is changed (reversed). L matrix TI-83 Plus Matrices...
  • Page 274 #decimals to 10 digits. round( matrix , #decimals (Inverse) Use the function (œ) to invert a matrix ( is not valid). must be matrix square. The determinant cannot equal zero. TI-83 Plus Matrices...
  • Page 275 The other relational matrixB operations are not valid with matrices. returns matrixA = matrixB comparison is false. TI-83 Plus Matrices must be square. You can use matrix (›) for integer power if every comparison is true; it returns between ƒ...
  • Page 276 ) fPart( matrix ) int( matrix ) TI-83 Plus Matrices if at least one comparison is false; it returns (fractional part), and (greatest integer) are int(...
  • Page 277: Using The Matrx Math Operations

    Swaps two rows of a matrix. D: row+( Adds two rows; stores in the second row. E: ärow( Multiplies the row by a number. F: ärow+( Multiplies the row, adds to the second row. TI-83 Plus Matrices menu, press y > ~.
  • Page 278 Accessing Matrix Dimensions with dim( (dimension) returns a list containing the dimensions ( dim( matrix dim( matrix ) Note: dim( matrix )! returns the number of columns. TI-83 Plus Matrices returns the number of rows. d matrix { rows columns } matrix...
  • Page 279 Additional created elements are zeros. Matrix elements that are outside the new dimensions are deleted. { rows , columns }!dim( matrixname ) Fill( stores to every element in Fill( value TI-83 Plus Matrices matrixname as each element. matrixname matrixname of dimensions to dimensions...
  • Page 280 ‚ L 9 and  9. The seed value stored to the function controls rand the values (Chapter 2). randM( rows , columns ) augment( appends as new columns. augment( matrixA matrixB matrixA matrixB both must have the same number of rows. TI-83 Plus Matrices...
  • Page 281 Matr4list( ignores extra Matr4list( Matr4list( matrix , listnameA , also fills a Matr4list( listname To fill a list with a specific column from matrix TI-83 Plus Matrices listname ignores extra listname columns. matrix ..., listname n ) & with elements from a specified...
  • Page 282 , matrixname ) cumSum( returns cumulative sums of the elements in cumSum( the first element. Each element is the cumulative sum of the column from top to bottom. TI-83 Plus Matrices & matrixname . If dimensions of all row with .
  • Page 283 ) (reduced row-echelon form) returns the reduced row-echelon form of rref( a real . The number of columns must be greater than or equal to the matrix number of rows. TI-83 Plus Matrices...
  • Page 284 It swaps rowSwap( rowA rowB matrix rowSwap( matrix , rowA , rowB ) row+( (row addition) returns a matrix. It adds row+( rowA rowB matrix stores the results in rowB row+( matrix , rowA , rowB ) TI-83 Plus Matrices...
  • Page 285 ärow( value , matrix , row ) ärow+( (row multiplication and addition) returns a matrix. It multiplies ärow+( rowA , adds it to , and stores the results in matrix value rowB rowB ärow+( value , matrix , rowA , rowB ) TI-83 Plus Matrices...
  • Page 286 2. Press to select the current cursor location. ¥ ƒ [ 3. Press ¢ ¤ to enter the sequence. TI-83 Plus Lists LIST OPS , which pastes 5:seq( ] ¡ ¢ ƒ [ ] ¢ . Store the results to a user- menu.
  • Page 287 6. Press y 9 to display the Press to select current cursor location. (If your menu, move the cursor to LIST NAMES before you press Í.) TI-83 Plus Lists ], and then press LIST NAMES to paste ÙSEQ1 7:seq( is not item SEQ1 menu.
  • Page 288 8. Press Í to show the sequence in fraction form. Press ~ repeatedly (or press and hold ~) to scroll the list and view all the list elements. TI-83 Plus Lists menu. Press MATH to the 4Frac...
  • Page 289: Naming Lists

    Naming Lists Using TI-83 Plus List Names L TI-83 Plus has six list names in memory: The list names through keys À through ¸. To paste one of these names to a valid screen, press y, and then press the appropriate key.
  • Page 290 At a List: List1: in the inferential stat editors On the home screen using You can create as many list names as your space to store. TI-83 Plus Lists menu. , or prompt in the stat plot editor Data List: List2:...
  • Page 291: Storing And Displaying Lists

    To display the elements of a list on the home screen, enter the name of the list (preceded by indicates that the list continues beyond the viewing window. Press ~ repeatedly (or press and hold ~) to scroll the list and view all the list elements. TI-83 Plus Lists listname listname. real( , if necessary, and then press Í.
  • Page 292 Deleting a List from Memory To delete lists from memory, including through , use the secondary menu (Chapter 18). Resetting MEMORY MANAGEMENT/DELETE memory restores through . Removing a list from the stat list editor does not delete it from memory. TI-83 Plus Lists...
  • Page 293 Using Lists in Graphing You can use lists to graph a family of curves (Chapter 3). TI-83 Plus Lists...
  • Page 294: Entering List Names

    The list name symbol pasted where non-list name data also is valid, such as the home screen. TI-83 Plus Lists menu, press y 9. Each item is a user- menu items are sorted automatically in...
  • Page 295 To enter an existing list name directly, follow these steps. 1. Press y 9 ~ to display the 2. Select , which pastes B:Ù always necessary. 3. Enter the characters that comprise the list name. TI-83 Plus Lists XList: menu. LIST OPS Ù to the current cursor location.
  • Page 296: Attaching Formulas To List Names

    For example, the first screen below shows that elements are stored to , and the formula quotation marks designate the formula to be attached to element of ÙADD10 is the sum of an element in TI-83 Plus Lists is attached to the list name ÙADD10 . The ÙADD10 .
  • Page 297 Attaching a Formula to a List on the Home Screen or in a Program To attach a formula to a list name from a blank line on the home screen or from a program, follow these steps. TI-83 Plus Lists . The elements of...
  • Page 298 Note: The stat list editor displays a formula-lock symbol next to each list name that has an attached formula. Chapter 12 describes how to use the stat list editor to attach formulas to lists, edit attached formulas, and detach formulas from lists. TI-83 Plus Lists TI-83 Plus list name Ù...
  • Page 299 For example: Enter ""!listname Edit any element of a list to which a formula is attached. Use the stat list editor (Chapter 12). ClrList ClrAllList TI-83 Plus Lists on the home screen. to detach a formula from a list (Chapter 18).
  • Page 300: Using Lists In Expressions

    Use y K to recall the contents of the list into an expression at the cursor location (Chapter 1). Note: You must paste user-created list names to the them from the LIST NAMES TI-83 Plus Lists & menu. You cannot enter them directly using prompt by selecting...
  • Page 301 The function is evaluated for corresponding elements. When you use a list and a value with a two-argument function, the value is used with each element in the list. TI-83 Plus Lists This returns an error. This graphs Xä‡(1)
  • Page 302: List Ops Menu

    SortA(, SortD( (sort ascending) sorts list elements from low to high values. SortA( (sort descending) sorts list elements from high to low values. SortD( Complex lists are sorted based on magnitude (modulus). TI-83 Plus Lists menu, press y 9 ~.
  • Page 303 . After SortA(L ), 5 becomes the second element of L becomes the second element of L Note: SortA( SortD( menu (Chapter 12). TI-83 Plus Lists sort the elements of SortD( SortD(listname) SortA( SortD( . All lists must have the same...
  • Page 304 The elements in the old not changed. Extra list elements are filled by Elements in the old list that are outside the new dimension are deleted. TI-83 Plus Lists listname that are within the new dimension are listname list...
  • Page 305 (sequence) returns a list in which each element is the result of the seq( evaluation of expression at steps of begin can be negative; the default value for increment valid within expression TI-83 Plus Lists with listname dim( with regard to variable need not be defined in memory. increment variable .
  • Page 306 The list of differences is always one element shorter than the original elements can be a real or complex numbers. @List(list) TI-83 Plus Lists ,increment elements can be real or complex...
  • Page 307 1. Create two list names and enter the data. 2. Turn on a stat plot, select " (scatter plot) or Ó (xyLine), and enter the two list names for (Chapter 12). Xlist: Ylist: 3. Use to plot the data (Chapter 3). ZoomStat TI-83 Plus Lists...
  • Page 308 3. Press Í. The graph screen is displayed with bottom-left corner. 4. Press } or † (if more than one stat plot is selected) to move the cursor onto the stat plot from which you want to select data points. TI-83 Plus Lists to select 8:Select(...
  • Page 309 Right Bound? 7. Press | or ~ to move the cursor to the stat plot point that you want for the right bound, and then press Í. TI-83 Plus Lists indicator on the graph screen shows the left bound.
  • Page 310 Also, left-bound x-value  right-bound x-value must be true. augment( concatenates the elements of augment( can be real or complex numbers. augment(listA,listB) TI-83 Plus Lists . A new stat plot of xlistname listA ylistname . The list elements...
  • Page 311 Likewise, if the number of columns in number of arguments, then listname columns. Matr4list(matrix,listname1,listname2, TI-83 Plus Lists matrixname matrixname ,list n,matrixname) & . If the number of listname , then Matr4list(...
  • Page 312 Without the created list name as implied multiplication of two or more characters. TI-83 Plus Lists & with elements from a specified listname &...
  • Page 313 Name= prompts in the stat plot editor. If you enter Ù where it Xlist: Ylist: is not necessary, the TI-83 Plus will ignore the entry. TI-83 Plus Lists...
  • Page 314: List Math Menu

    . If two lists are compared, it returns a list of the smaller or listA larger of each pair of elements in element with smallest or largest magnitude (modulus) is returned. TI-83 Plus Lists menu, press y 9 |. (maximum) return the smallest or largest...
  • Page 315 . The default value for list number of consecutive occurrences of the corresponding element in Complex lists are not valid. mean(list ,freqlist median(list ,freqlist TI-83 Plus Lists median( list is 1. Each freqlist freqlist MATH NUM returns the median value of element counts the menu.
  • Page 316 ,start,end Sums and Products of Numeric Sequences You can combine sum( upper expression(x) x=lower TI-83 Plus Lists prod(list ,start,end with prod( seq( upper expression(x) x=lower list start...
  • Page 317 . The default value for variance( list is 1. Each element counts the number of consecutive freqlist freqlist occurrences of the corresponding element in . Complex lists are not list valid. stdDev(list ,freqlist variance(list ,freqlist TI-83 Plus Lists...
  • Page 318 This example is quoted and adapted from Contemporary Precalculus Through Applications , by the North Carolina School of Science and Mathematics, by permission of Janson Publications, Inc., Dedham, MA. 1-800-322-MATH. © 1992. All rights reserved. TI-83 Plus Statistics Length (cm) Time (sec) 24.4...
  • Page 319 Í to store the first pendulum 4. Press string length (6.5 cm) in cursor moves to the next row. Repeat this step to enter each of the 12 string length values in the table. TI-83 Plus Statistics Func 5:SetUpEditor through , and then stores...
  • Page 320 (Chapter 3). As necessary, press †, |, and Í to deselect functions. 7. Press y , menu. The stat plot editor is STAT PLOTS displayed for plot 1. TI-83 Plus Statistics . The rectangular editor. from the top line of the Plot3...
  • Page 321 10. Press … ~ regression model) from the is pasted to the home screen. LinReg(ax+b) TI-83 Plus Statistics , which turns on plot 1. for plot 1. Press † Xlist:L for plot 1. Press † ~...
  • Page 322 13. Press s. The regression line and the scatter plot are displayed. The regression line appears to fit the central portion of the scatter plot well. However, a residual plot may provide more information about this fit. TI-83 Plus Statistics secondary to select . The linear LinReg(ax+b) is calculated.
  • Page 323 15. Press y 9 to display the If necessary, press † to move the cursor onto the list name RESID 16. Press Í to select stat list editor’s Name= TI-83 Plus Statistics . The stat list 1:Edit , and prompt is Name=...
  • Page 324 2. Press † Í to select Ylist:RESID as the mark for each data point on the › scatter plot. TI-83 Plus Statistics is stored in column . The next five residuals are . Plotting the residuals will show this pattern...
  • Page 325 = a ä x 22. Press o to display the Press ‘ to clear the linear regression equation from plot 1. Press ~ Í to turn off plot 2. TI-83 Plus Statistics editor. . Press } from the 9:ZoomStat editor.
  • Page 326 25. Press Í to calculate the power regression. Values for screen. The power regression equation is stored in . Residuals are calculated and stored automatically in the list name TI-83 Plus Statistics from the 9:ZoomStat ] to select A:PwrReg menu.
  • Page 327 This is a scatter plot of the residuals. The new residual plot shows that the residuals are random in sign, with the residuals increasing in magnitude as the string length increases. TI-83 Plus Statistics .522 appears to fit the data well. To get more editor.
  • Page 328 To predict the periods for a pendulum with string lengths of 20 cm and 50 cm, continue with these steps. 30. Press  ~ secondary menu, and then press FUNCTION select is pasted to the home screen. TI-83 Plus Statistics to display the VARS Y.VARS...
  • Page 329 20 cm. Press Í to calculate the predicted time of about 0.92 seconds. Based on the residual analysis, we would expect the prediction of about 0.92 seconds to be within about 0.02 seconds of the actual value. TI-83 Plus Statistics...
  • Page 330 Note: You also can make predictions using the table with the TABLE SETUP (Chapter 7). Depend:Auto TI-83 Plus Statistics to change the string length to settings Indpnt:Ask...
  • Page 331: Setting Up Statistical Analyses

    Setting Up Statistical Analyses Using Lists to Store Data Data for statistical analyses is stored in lists, which you can create and edit using the stat list editor. The TI-83 Plus has six list variables in memory, through , to which you can store data for statistical calculations.
  • Page 332 The center area displays up to seven elements of up to three lists; it abbreviates values when necessary. The entry line displays the full value of the current element. TI-83 Plus Statistics...
  • Page 333: Using The Stat List Editor

    Note: If list names are stored to all 20 columns, you must remove a list name to make room for an unnamed column. prompt is displayed and alpha-lock is on. Name= TI-83 Plus Statistics prompt in the entry line in either of two ways.
  • Page 334 Note: If the list name you entered in step 2 already was stored in another stat list editor column, then the list and its elements, if any, move to the current column from the previous column. Remaining list names shift accordingly. TI-83 Plus Statistics menu (Chapter 11).
  • Page 335 Note1: To delete a list name from memory, use the secondary menu (Chapter 18). DELETE Note 2: If you archive a list, it will be removed from the stat list editor. TI-83 Plus Statistics prompt. LIST NAMES MEMORY MANAGEMENT/...
  • Page 336 In the stat list editor, move the cursor onto each element, and then press { one by one. On the home screen or in the program editor, enter set the dimension of to clear all lists in memory (Chapter 18). ClrAllLists TI-83 Plus Statistics through L to columns through with no arguments.
  • Page 337 Press ~ to move the cursor to a character you want to delete, and then press { to delete the character. To cancel any editing and restore the original element at the rectangular cursor, press ‘ Í. TI-83 Plus Statistics...
  • Page 338 4. Press Í, }, or † to update the list. If you entered an expression, it is evaluated. If you entered only a variable, the stored value is displayed as a list element. When you edit a list element in the stat list editor, the list is updated in memory immediately. TI-83 Plus Statistics...
  • Page 339 Note: If a formula in quotation marks is displayed on the entry line, then a formula is already attached to the list name. To edit the formula, press Í, and then edit the formula. TI-83 Plus Statistics...
  • Page 340 A lock symbol is displayed in the stat list editor, next to the list name to which the formula is attached. TI-83 Plus Statistics TI-83 Plus calculates each list element and stores it lock symbol ã...
  • Page 341 Using the Stat List Editor When Formula-Generated Lists Are Displayed When you edit an element of a list referenced in an attached formula, the TI-83 Plus updates the corresponding element in the list to which the formula is attached (Chapter 11).
  • Page 342 To edit an element of a list on the home screen, store the new value to listname ( element# ) (Chapter 11). TI-83 Plus Statistics...
  • Page 343: Detaching Formulas From List Names

    All list names remain. (Chapter 18). All elements of all lists in memory are ClrAllLists cleared, all formulas are detached from all list names, and all lock symbols disappear. All list names remain. TI-83 Plus Statistics...
  • Page 344 As described above, one way to detach a formula from a list name is to edit an element of the list to which the formula is attached. The TI-83 Plus protects against inadvertently detaching the formula from the list name by editing an element of the formula-generated list.
  • Page 345: Switching Stat List Editor Contexts

    2. Press Í. You are now in edit-elements context. You may edit any element in a list. All elements of the current list are displayed in braces ( line. Press ~ and | to view more list elements. TI-83 Plus Statistics Edit-elements context Enter-name context...
  • Page 346 5. Press } until the cursor is on a list name, then press y 6. You are now in enter-name context. 6. Press ‘. You are now in view-names context. 7. Press †. You are now back in view-elements context. TI-83 Plus Statistics...
  • Page 347: Stat List Editor Contexts

    Remaining elements shift up one row. To insert a new element, press y 6. is the default value for a new element. Edit-Elements Context In edit-elements context, the data displayed in the entry line depends on the previous context. TI-83 Plus Statistics...
  • Page 348 You can press ~ and | to edit any element in the list. Note: In edit-elements context, you can attach a formula to a list name only if you switched to it from view-names context. TI-83 Plus Statistics & &...
  • Page 349 Name= from from the keyboard, or paste an existing list name from the menu (Chapter 11). The symbol is not required at the Ù Name= LIST NAMES prompt. TI-83 Plus Statistics...
  • Page 350 To leave enter-name context without entering a list name, press ‘. The stat list editor switches to view-names context. TI-83 Plus Statistics...
  • Page 351: Stat Edit Menu

    (modulus). can sort in either of two ways. With one listname update the list in memory. TI-83 Plus Statistics menu, press …. Displays the stat list editor. Sorts a list in ascending order. Sorts a list in descending order.
  • Page 352 ClrList ClrList listname1 , listname2 , Note: To clear from memory all elements of all list names, use (Chapter 18). TI-83 Plus Statistics SortA( SortD( keylistname , dependlist2 , , dependlist n...
  • Page 353 If you enter a that is not stored in memory already, then listname listname created and stored in memory; it becomes an item on the LIST NAMES menu. TI-83 Plus Statistics...
  • Page 354 Restoring L through L to the Stat List Editor with no removes all list names from the stat list SetUpEditor listnames editor and restores list names through in the stat list editor columns through TI-83 Plus Statistics...
  • Page 355: Regression Model Features

    RESID RESID becomes an item on the menu (Chapter 11). LIST NAMES TI-83 Plus uses the formula below to compute list elements. RESID The next section describes the variable RegEQ RESID...
  • Page 356 (Chapter 1). However, limiting the number of digits to a small number could affect the accuracy of the fit. TI-83 Plus Statistics . Upon execution, the regression variable for secondary menu.
  • Page 357 By default, these values are not displayed with the results of a regression model when you execute it. However, you can set the diagnostics display mode by executing the instruction. Each instruction is in the TI-83 Plus Statistics (correlation coefficient) and (coefficient of determination).
  • Page 358 DiagnosticOn when you execute a regression model. When DiagnosticOff when you execute a regression model. TI-83 Plus Statistics from the home screen, press y DiagnosticOff is set, diagnostics are displayed with the results is set, diagnostics are not displayed with the results...
  • Page 359: Stat Calc Menu

    For each menu item, if neither STAT CALC specified, then the default list names are , then the default is freqlist TI-83 Plus Statistics menu, press … ~. Xlistname occurrence of each list element. Ylistname . If you do not specify...
  • Page 360 1.Var Stats (one-variable statistics) analyzes data with one measured 1.Var Stats variable. Each element in corresponding data point in numbers > 0. TI-83 Plus Statistics freqlist indicates how many times the corresponding data ÙFREQ={1,4,1,3} ÙFREQ 1.Var Stats L occurs once, and must be ‚...
  • Page 361 (median-median) fits the model equation y=ax+b to the data Med.Med using the median-median line (resistant line) technique, calculating the summary points (slope) and (y-intercept). Med.Med Xlistname , Ylistname , freqlist , regequ TI-83 Plus Statistics is the dependent variable. Each element Ylistname , and Med.Med is the Xlistname...
  • Page 362 +cx+d to the data. It displays values for is set, it also displays a value for DiagnosticOn equation is a polynomial fit; for five or more, it is a polynomial regression. At least four points are required. TI-83 Plus Statistics +cx+d) (slope) and (y-intercept);...
  • Page 363 (logarithmic regression) fits the model equation y=a+b ln(x) to the LnReg data using a least-squares fit and transformed values ln(x) and y. It displays values for values for TI-83 Plus Statistics + dx+e) ; when DiagnosticOn . For five points,...
  • Page 364 Logistic iterative least-squares fit. It displays values for Logistic Xlistname , Ylistname , freqlist , regequ TI-83 Plus Statistics is set, it also displays values for DiagnosticOn is set, it also displays values for DiagnosticOn...
  • Page 365 , the differences between time values in period unequal. Note: The output of SinReg mode setting. TI-83 Plus Statistics Ylistname period regequ can be an integer ‚ 1 and  16; if not iterations SinReg...
  • Page 366 Plot the data and trace to determine the x-distance between the beginning and end of one complete period, or cycle. The illustration above and to the right graphically depicts a complete period, or cycle. TI-83 Plus Statistics & &...
  • Page 367 For an optimal fit, execute where is the value obtained from the previous TI-83 Plus Statistics and the default value for SinReg SinReg 16, Xlistname , Ylistname ,2p / b...
  • Page 368: Statistical Variables

    … y minimum of x values TI-83 Plus Statistics menu shown in the column below under VARS 1.Var 2.Var Stats...
  • Page 369 ( Med.Med only) and Q The first quartile ( (median). The third quartile ( maxX TI-83 Plus Statistics 1.Var Stats maxX ) is the median of points between ) is the median of points between 2.Var...
  • Page 370: Statistical Analysis In A Program

    2. Enter the names of the lists to use in the calculation. Separate the list names with a comma. 3. Enter a comma and then the name of a the regression equation to a TI-83 Plus Statistics menu. variable. variable, if you want to store...
  • Page 371: Statistical Plotting

    1. Store the stat data in one or more lists. 2. Select or deselect functions as appropriate. 3. Define the stat plot. 4. Turn on the plots you want to display. 5. Define the viewing window. 6. Display and explore the graph. TI-83 Plus Statistics...
  • Page 372 . You may want to use Xlist Ylist to sort the lists before you plot them. SortA( SortD( TI-83 Plus Statistics...
  • Page 373 (The Interquartile Range is defined as the difference between the third quartile individually beyond the whisker, using the You can trace these points, which are called outliers. TI-83 Plus Statistics Xscl to include all values, and also adjusts Ymax ) à...
  • Page 374 ( quartile ( ) and from the third quartile ( ). The box is defined by maxX TI-83 Plus Statistics , except when the outlier is the ) or the minimum point ( . When no outliers exist,...
  • Page 375 Enter a valid list name in the setting. If you select , the z-values on the y-axis. If you select , the z-values on the x-axis. TI-83 Plus Statistics Xmin field. Select Data List TI-83 Plus plots the data on the x-axis and the TI-83 Plus...
  • Page 376 To define a plot, follow these steps. 1. Press y ,. The current plot definitions. 2. Select the plot you want to use. The stat plot editor is displayed for the plot you selected. TI-83 Plus Statistics menu is displayed with the STAT PLOTS...
  • Page 377 5. Enter list names or select options for the plot type. (list name containing independent data) Xlist (list name containing dependent data) Ylist Mark › TI-83 Plus Statistics if you want to plot the statistical data XList YList Mark ...
  • Page 378 With one or more plot numbers ( PlotsOff turns on specified plots, and PlotsOn plots. TI-83 Plus Statistics elements; default is Xlist NormProbPlot Data List ) is highlighted in the top line of the stat plot...
  • Page 379 When you trace a scatter plot or xyLine, tracing begins at the first element in the lists. When you trace a histogram, the cursor moves from the top center of one column to the top center of the next, starting at the first column. TI-83 Plus Statistics...
  • Page 380 (not the nearest pixel). format setting applies to stat plots (Chapter 3). When ExprOn ExprOff is selected, the plot number and plotted data lists are displayed ExprOn in the top-left corner. TI-83 Plus Statistics...
  • Page 381: Statistical Plotting In A Program

    1. Press y , to display the menu. STAT PLOTS 2. Select the plot to define, which pastes , or to the Plot1( Plot2( Plot3( cursor location. TI-83 Plus Statistics...
  • Page 382 6. Press ¢ y , | to display the step is not necessary if you selected step 4.) Select the type of mark ( mark symbol is pasted to the cursor location. TI-83 Plus Statistics STAT TYPE STAT PLOT MARK 3:Histogram ) for each data point.
  • Page 383 7. Press ¤ Í to complete the command line. Displaying a Stat Plot from a Program To display a plot from a program, use the instruction DispGraph (Chapter 16) or any of the instructions (Chapter 3). ZOOM TI-83 Plus Statistics...
  • Page 384 165.1 centimeters and a standard deviation of 6.35 centimeters ) with a seed of 789). randNorm(165.1,6.35,90 Height (in centimeters) of Each of 10 Women 169.43 168.33 159.55 169.97 159.79 181.42 171.17 162.04 167.15 159.53 TI-83 Plus Inferential Statistics and Distributions...
  • Page 385 As you enter it, it is displayed on the bottom line. Press Í. The value is displayed in the first row, and the rectangular cursor moves to the next row. TI-83 Plus Inferential Statistics and Distributions , and then prompt is displayed Name= cursor indicates that Ø...
  • Page 386 6. Press † to move the cursor onto then press Í. The confidence interval is calculated, and the displayed on the home screen. TI-83 Plus Inferential Statistics and Distributions STAT TESTS is highlighted. 8:TInterval . The inferential 8:TInterval is displayed.
  • Page 387 TInterval Press ~ Í to select changes so that you can enter summary statistics as input. TI-83 Plus Inferential Statistics and Distributions , shows that the 99 percent confidence of 7.1 calculated from the larger Stats to display the inferential stat .
  • Page 388 6.35 centimeters, what height is exceeded by only 5 percent of the women (the 95th percentile)? 10. Press ‘ to clear the home screen. Press y = to display the (distributions) menu. TI-83 Plus Inferential Statistics and Distributions Í to store 163.8 to Calculate of 165.1 centimeters and a standard deviation DISTR ü...
  • Page 389 Now graph and shade the top 5 percent of the population. 12. Press p and set the window variables to these values. Xmin=145 Xmax=185 Xscl=5 13. Press y = ~ to display the menu. TI-83 Plus Inferential Statistics and Distributions to the home screen. invNorm( Ë ¢ Ë ¤ Í.
  • Page 390 15. Press Í to plot and shade the normal curve. is the area above the 95th percentile. Area is the lower bound. TI-83 Plus Inferential Statistics and Distributions to the home ShadeNorm( ¢ Ë of 165.1 and a of 6.35.
  • Page 391: Inferential Stat Editors

    1. Select a hypothesis test or confidence interval from the menu. The appropriate editor is displayed. 2. Select Data Stats editor is displayed. TI-83 Plus Inferential Statistics and Distributions T-Test ( instruction, it is pasted to the home screen. ANOVA input, if the selection is available. The appropriate...
  • Page 392 This chapter describes the selections in the above steps for each hypothesis test and confidence interval instruction. Select Data or Stats input Enter values for arguments TI-83 Plus Inferential Statistics and Distributions ƒ < for the option, if the selection is available.
  • Page 393 Statistics Input Descriptions tables When you enter values in any inferential stat editor, the them in memory so that you can run many tests or intervals without having to reenter every value. TI-83 Plus Inferential Statistics and Distributions 2.PropZTest 1.PropZInt , move the cursor to either .Test...
  • Page 394 Select if you want the variances pooled. Population variances are assumed to be equal. To select the Pooled Í. TI-83 Plus Inferential Statistics and Distributions alternative hypothesis, such as < only) specifies whether the 2.SampTInt option, move the cursor to for the mƒm...
  • Page 395 When you press Í, results and displays the outputs on the home screen. TI-83 Plus Inferential Statistics and Distributions ) or on the graph screen ( Calculate , move the cursor to either Draw to display the results.
  • Page 396 Note: You can paste a hypothesis test or confidence interval instruction to a command line in a program. From within the program editor, select the instruction from either the (Chapter 15) or the menu. CATALOG STAT TESTS TI-83 Plus Inferential Statistics and Distributions...
  • Page 397: Stat Tests Menu

    Confidence interval for 1 proportion B: 2-PropZInt... Confidence interval for difference of 2 proportions C: c2-Test... Chi-square test for 2-way tables D: 2-SampÛTest... Test comparing 2 s’s TI-83 Plus Inferential Statistics and Distributions menu, press … |. When you select an...
  • Page 398 Descriptions of instructions that offer the show both types of screens: calculated and graphic results. Descriptions of instructions that offer only the show the calculated results on the home screen. TI-83 Plus Inferential Statistics and Distributions instruction shows the STAT TESTS...
  • Page 399 : m>m m:>m In the example: ={299.4 297.7 301 298.9 300.2 297} Input: TI-83 Plus Inferential Statistics and Distributions test; item ) performs a hypothesis test for a single when the population standard deviation s is : m=m Data...
  • Page 400 It tests the null hypothesis H alternatives below. : mƒm m:ƒm : m<m m:<m : m>m m:>m TI-83 Plus Inferential Statistics and Distributions Data Float test; item ) performs a hypothesis test for a single when the population standard deviation s is : m=m...
  • Page 401 In the example: TEST={91.9 97.8 111.4 122.3 105.4 95} Input: Calculated results: Drawn results: TI-83 Plus Inferential Statistics and Distributions Data Stats...
  • Page 402 In the example: LISTA={154 109 137 115 140} LISTB={108 115 126 92 146} Input: TI-83 Plus Inferential Statistics and Distributions test; item ) tests the equality of the means of and m ) based on independent samples when both and s is tested against one of the alternatives below.
  • Page 403 H ƒm m1:ƒm2 <m m1:<m2 >m m1:>m2 TI-83 Plus Inferential Statistics and Distributions test; item ) tests the equality of the means of and m ) based on independent samples when is tested against one of the alternatives below.
  • Page 404 In the example: SAMP1={12.207 16.869 25.05 22.429 8.456 10.589} SAMP2={11.074 9.686 12.064 9.351 8.182 6.642} Input: Calculated results: TI-83 Plus Inferential Statistics and Distributions Data Stats...
  • Page 405 : propƒp prop:ƒp : prop<p prop:<p : prop>p prop:>p Input: TI-83 Plus Inferential Statistics and Distributions test; item ) computes a test for an and the count of observations in the sample : prop=p against one of the...
  • Page 406 ƒp p1:ƒp2 <p p1:<p2 >p p1:>p2 TI-83 Plus Inferential Statistics and Distributions test; item and p ) from two populations. It takes as (using the pooled sample proportion Ç) against ) computes a test to compare...
  • Page 407 Input: Calculated results: Drawn results: TI-83 Plus Inferential Statistics and Distributions...
  • Page 408 The computed confidence interval depends on the user-specified confidence level. In the example: ={299.4 297.7 301 298.9 300.2 297} Data Stats Input: Calculated results: TI-83 Plus Inferential Statistics and Distributions...
  • Page 409 The computed confidence interval depends on the user-specified confidence level. In the example: ={1.6 1.7 1.8 1.9} Data Stats Input: Calculated results: TI-83 Plus Inferential Statistics and Distributions...
  • Page 410 ) when both population standard deviations ( s and s ) are known. The computed confidence interval depends on the user-specified confidence level. In the example: LISTC={154 109 137 115 140} LISTD={108 115 126 92 146} Data Stats Input: TI-83 Plus Inferential Statistics and Distributions...
  • Page 411 ) when both population standard deviations ( s and s ) are unknown. The computed confidence interval depends on the user- specified confidence level. In the example: SAMP1={12.207 16.869 25.05 22.429 8.456 10.589} SAMP2={11.074 9.686 12.064 9.351 8.182 6.642} TI-83 Plus Inferential Statistics and Distributions...
  • Page 412 Data Stats Input: Calculated results: TI-83 Plus Inferential Statistics and Distributions...
  • Page 413 It takes as input the count of successes in the sample and the count of observations in the sample . The computed confidence interval depends on the user-specified confidence level. Input: Calculated results: TI-83 Plus Inferential Statistics and Distributions...
  • Page 414 ). It takes as input the count of successes in each sample ( ) and the count of observations in each sample ( ). The computed confidence interval depends on the user-specified confidence level. Input: Calculated results: TI-83 Plus Inferential Statistics and Distributions...
  • Page 415 Expected: which you want the computed expected counts to be stored; default= Matrix editor: Input: TI-83 Plus Inferential Statistics and Distributions ) computes a chi-square test for for a two-way table is: no association .Test, enter the observed counts in a matrix. Enter...
  • Page 416 Calculated results: Drawn results: TI-83 Plus Inferential Statistics and Distributions Note: Press y Ž Í to display matrix...
  • Page 417 In the example: 7 L4 18 17 L3 L5 1 10 11L2} SAMP4={ SAMP5={ L1 12 L1 L3 3 L5 5 2L11 L1L3} Input: TI-83 Plus Inferential Statistics and Distributions ) computes an Û-test to compare /Sx2 Data and s ).
  • Page 418 H below. : bƒ0 and rƒ0 ( : b<0 and r<0 ( : b>0 and r>0 ( TI-83 Plus Inferential Statistics and Distributions test; item test on the value of slope b and the =a+bx. It tests the null b &...
  • Page 419 In the example below, the regression equation is stored to , which is then selected (turned on). In the example: 38 56 59 6474} 41 63 70 7284} Input: Calculated results: TI-83 Plus Inferential Statistics and Distributions variable name at the RegEQ VARS Statistics RegEQ:...
  • Page 420 ANOVA( list1 , list2 , ... , list20 In the example: ={7 4 6 6 5} ={6 5 5 8 7} ={4 7 6 7 6} TI-83 Plus Inferential Statistics and Distributions automatically. RESID : not all m ...m is placed on the...
  • Page 421 Input: Calculated results: Note: SS is sum of squares and MS is mean square. TI-83 Plus Inferential Statistics and Distributions...
  • Page 422: Inferential Statistics Input Descriptions

    Input List Freq Calculate / Draw v , Sx , n TI-83 Plus Inferential Statistics and Distributions Description Hypothesized value of the population mean that you are testing. The known population standard deviation; must be a real number >...
  • Page 423 List1 , List2 Freq1 , Freq2 v1 , Sx1 , n 1 , v2 , Sx2 , Pooled TI-83 Plus Inferential Statistics and Distributions Description The known population standard deviation from the second population for the two-sample tests and intervals.
  • Page 424 Input C.Level Observed (Matrix) Expected (Matrix) Xlist , Ylist RegEQ TI-83 Plus Inferential Statistics and Distributions Description The count of successes from sample two for the 2.PropZTest 2.PropZInt The count of observations in sample one for the 2.PropZTest 2.PropZInt The count of observations in sample two for the 2.PropZTest...
  • Page 425: Test And Interval Output Variables

    2 pooled standard deviation estimated sample proportion estimated sample proportion for population 1 estimated sample proportion for population 2 TI-83 Plus Inferential Statistics and Distributions menu listed in the last column VARS Tests Intervals z, t, c2, Ü...
  • Page 426 Note: The variables listed above cannot be archived. TI-83 Plus Inferential Statistics and Distributions LinRegTTest Tests Intervals ANOVA lower, upper...
  • Page 427: Distribution Functions

    Poisson cumulative density D:geometpdf( Geometric probability E:geometcdf( Geometric cumulative density Note: L1å99 and 1å99 specify infinity. If you want to view the area left of upperbound, for example, specify lowerbound = L1å99. TI-83 Plus Inferential Statistics and Distributions menu, press y =.
  • Page 428 Tip: For plotting the normal distribution, you can set window variables so that the mean m falls between them, and then select Xmax menu. ZOOM TI-83 Plus Inferential Statistics and Distributions value. The defaults are mean m =0 and Note: For this example, Xmin = 28...
  • Page 429 0  to the left of the and s =1. invNorm( area TI-83 Plus Inferential Statistics and Distributions for the specified mean m and standard value associated with an  1 must be true. The defaults are m =0...
  • Page 430 , df ) tcdf( computes the Student- tcdf( for the specified upperbound > 0. TI-83 Plus Inferential Statistics and Distributions value. (degrees of freedom) must be >0. To to the tpdf( Note: For this example, Xmin = L4.5 Xmax = 4.5...
  • Page 431 (chi-square) distribution at a specified must be an integer > 0. To plot the c editor. The probability density function (pdf) is: 2) / pdf( x , df ) TI-83 Plus Inferential Statistics and Distributions value. distribution, paste c Note: For this example,...
  • Page 432 > 0. To plot the Û distribution, paste editor. The probability density function (pdf) is: where = numerator degrees of freedom = denominator degrees of freedom TI-83 Plus Inferential Statistics and Distributions (chi-square) distribution probability between for the specified (degrees of freedom) and...
  • Page 433 0 must be an integer > 0. If you do not specify numtrials TI-83 Plus Inferential Statistics and Distributions Note: For this example, Xmin = 0 Xmax = 5...
  • Page 434 0 1 must be true. must be an integer > 0. If you do not specify , a list of numtrials cumulative probabilities is returned. binomcdf( numtrials , p TI-83 Plus Inferential Statistics and Distributions...
  • Page 435 Poisson distribution with the specified mean m, which must be a real number > 0. can be a real number or a list of real numbers. poissoncdf( , x ) TI-83 Plus Inferential Statistics and Distributions for the discrete Poisson , 2 , for the discrete...
  • Page 436 1 must be true. with the specified probability of success . 0 can be a real number or a list of real numbers. geometcdf( p , x ) TI-83 Plus Inferential Statistics and Distributions...
  • Page 437: Distribution Shading

    4: ShadeÛ( Note: L1å99 and 1å99 specify infinity. If you want to view the area left of upperbound, for example, specify lowerbound = L1å99. TI-83 Plus Inferential Statistics and Distributions menu, press y = ~. , and display the computed area...
  • Page 438 ShadeNorm( lowerbound , upperbound Shade_t( draws the density function for the Student- Shade_t( (degrees of freedom) and shades the area between upperbound TI-83 Plus Inferential Statistics and Distributions Note: For this example, Xmin = 55 Xmax = 72 Ymin = L.05 Ymax = .2...
  • Page 439 (degrees of freedom) and shades the area between lowerbound upperbound Shadec ( lowerbound , upperbound , df ) TI-83 Plus Inferential Statistics and Distributions Note: For this example, Xmin = L3 Xmax = 3 Ymin = L.15 Ymax = .5...
  • Page 440 Û distribution specified by ShadeÜ( (degrees of freedom) and numerator df between lowerbound ShadeÜ( lowerbound , upperbound , numerator df , denominator df ) TI-83 Plus Inferential Statistics and Distributions denominator df upperbound Note: For this example, Xmin = 0 Xmax = 5 Ymin = L.25...
  • Page 441: The Applications Menu

    Chapter 14: Applications The Applications Menu TI-83 Plus comes with applications already Finance CBLàCBR listed on the menu. Except for the application, you Finance APPLICATIONS can add and remove applications as space permits. The Finance application is built into the TI-83 Plus code and cannot be deleted.
  • Page 442: Steps For Running The Finance Application

    Steps for Running the Finance Application Follow these basic steps when using the application. Finance Select the Finance Press 9 b. application. Select from list of functions. TI-83 Plus Applications...
  • Page 443: Getting Started: Financing A Car

    CALC VARS menu. The Í to store 48 months to Press † Í to store 9,000 to 9000 Í to store L250 to cash outflow.) Press TI-83 Plus Applications . The TI-83 Plus from the 1:Finance from the 1:TVM Solver is displayed.
  • Page 444 4. Press } } } } } } to move the cursor to prompt. Press ƒ \ to solve for æ . What APR should you look for? æ TI-83 Plus Applications æ , which PMT:END...
  • Page 445: Getting Started: Computing Compound Interest

    (investment). Press † specify no payments. Press † future value as a cash inflow (return). Press † to enter payment periods per year. Press † to set compounding periods per year to TI-83 Plus Applications from the 1:Finance from the 1:TVM Solver is displayed.
  • Page 446 3. Press } } } } } to place the cursor on the prompt. æ 4. Press ƒ \ to solve for æ, the annual interest rate. TI-83 Plus Applications...
  • Page 447: Using The Tvm Solver

    To solve for an unknown 1. Press Œ Í Í to display the shows the default values with the fixed-decimal mode set to two decimal places. TI-83 Plus Applications solves for the fifth variable. Solver menu section describes the five...
  • Page 448 6. Press ƒ \. The answer is computed, displayed in the , and stored to the appropriate Solver square in the left column designates the solution variable. TI-83 Plus Applications variables. , which automatically enters the same value for to specify the payment method.
  • Page 449: Using The Financial Functions

    Using the Financial Functions Entering Cash Inflows and Cash Outflows When using the TI-83 Plus inflows (cash received) as positive numbers and cash outflows (cash paid) as negative numbers. The computing and displaying answers. FINANCE CALC Menu To display the...
  • Page 450 E: Pmt_End Selects ordinary annuity (end of period). F: Pmt_Bgn Selects annuity due (beginning of period). Use these functions to set up and perform financial calculations on the home screen. TVM Solver displays the TVM Solver TI-83 Plus Applications TVM Solver...
  • Page 451: Calculating Time Value Of Money (Tvm)

    Solver variable on the menu. FINANCE VARS If you enter less than six arguments, the TI-83 Plus substitutes a previously stored variable value for each unspecified argument. If you enter any arguments with a function, you must place the argument or arguments in parentheses.
  • Page 452 Ú tvm_æ , PV , PMT , FV , P/Y , C/Y ) TI-83 Plus Applications Solver . Next, the interest rate is changed to 9.5 to variables in the...
  • Page 453 Ú æ tvm_PV , PMT , FV , P/Y , C/Y ) tvm_Ú computes the number of payment periods. tvm_Ú æ tvm_Ú , PV , PMT , FV , P/Y , C/Y ) TI-83 Plus Applications...
  • Page 454 Ú æ tvm_FV , PV , PMT , P/Y , C/Y ) TI-83 Plus Applications...
  • Page 455: Calculating Cash Flows

    < 10,000. For example, express this uneven cash flow in lists. 2000 2000 2000 TI-83 Plus Applications . The default is 1; if you enter CFList 4000 4000 - 3000...
  • Page 456 (internal rate of return) is the interest rate at which the net present irr( value of the cash flows is equal to zero. irr( CF0 , CFList , CFFreq 1000 - 2000 - 2500 TI-83 Plus Applications , CFFreq 5000 indicates a profitable 3000...
  • Page 457: Calculating Amortization

    Float bal( npmt , roundvalue TI-83 Plus Applications is the number of the payment at which npmt roundvalue , and ) to calculate , then the...
  • Page 458 < 10,000. precision the calculator uses to calculate the principal; if you do not specify , the TI-83 Plus roundvalue Note: You must enter values for principal. GPrn( pmt1 , pmt2 , roundvalue...
  • Page 459 Press † to enter the payments per year, which also sets the compounding periods per year to . Press † † Í to select TI-83 Plus Applications . Press † † ~ graphing mode. to enter number of payments.
  • Page 460 Press a number and then press Í to view the balance at a specific time 8. Press y - and enter the values below. TblStart=0 @Tbl=12 TI-83 Plus Applications „¤ to define Xmin=0 Ymin=0 Xmax=360...
  • Page 461 ( 10. Press z † † † † † † † ~ ~ Í to select split-screen mode, in which the graph and table are displayed simultaneously. Press r to display (balance) in the table. TI-83 Plus Applications (time) and...
  • Page 462: Calculating Interest Conversion

    4Nom( effective rate , compounding periods ) 4Eff( computes the effective interest rate. 4Eff( must be real numbers. periods 4Eff( nominal rate , compounding periods ) TI-83 Plus Applications 4Eff( effective rate must be >0. compounding periods nominal rate must be >0.
  • Page 463 , date2 ) You can enter date1 MM.DDYY (United States) DDMM.YY (Europe) The decimal placement differentiates the date formats. TI-83 Plus Applications (menu item dbd( in either of two formats. date2 ) to calculate the number of days...
  • Page 464 Most leases are in this category. Pmt_Bgn On the ’s TVM Solver annuity due. TI-83 Plus Applications (menu items line, select line, select PMT:END BEGIN ) specify a transaction as an to set...
  • Page 465: Using The Tvm Variables

    æ based on the values of TI-83 Plus Applications menu, press Œ Í ~. You can use functions and store values to them on the home are the five...
  • Page 466 When you store a value to , the value for automatically changes to the same value. To store a unique value to , you must store the value to after you have stored a value to TI-83 Plus Applications...
  • Page 467 The CBL/CBR Application application allows you to collect real world data. The CBL/CBR TI-83 Plus comes with the menu (9 APPLICATIONS Steps for Running the CBLàCBR Application Follow these basic steps when using the not have to do all of them each time.
  • Page 468 Collect the data. Follow directions, if applicable. Stop the data collection, if necessary. Repeat these steps or exit the APPLICATIONS menu. TI-83 Plus Applications Highlight options or enter value and press b. Select Go… or START NOW. Press ^ and...
  • Page 469 2. Select 2:CBL/CBR use either of the applications. An informational screen appears first. 3. Press any key to continue to the next menu. TI-83 Plus Applications Plus, and a unit-to-unit link cable. to set up the TI-83 Plus CBL 2/CBL...
  • Page 470 Temp (Temperature), Light, Volt (Voltage), or Sonic. CBR collects data using only the built-in Sonic probe. You can find more information on CBL 2/CBL and CBR in their user manuals. TI-83 Plus Applications , you can collect data in one of three ways:...
  • Page 471 GAUGE data collection method lets you choose one of four different GAUGE probes: temp, Light, Volt, or Sonic. 1. Press Œ Í. 2. Select 1:GAUGE 3. Select options. TI-83 Plus Applications...
  • Page 472 ¡C or ¡F Directions: TYPE data collection results are represented according to GAUGE . Highlight the one you want with the cursor keys, and then press Meter Í. TI-83 Plus Applications Light Volt Sonic Bar or Meter mWàcm Volt m or Ft...
  • Page 473 UNITS The results are displayed according to the unit measurement ( Temp want using the cursor keys, enter a value using the number keys, and then press Í. TI-83 Plus Applications Meter MINàMAX UNITS probes only), highlight the one you...
  • Page 474 Temp ÙTREF Light ÙLREF Volt ÙVREF Sonic ÙDREF TI-83 Plus Applications DIRECTNS=On This ensures that you get the appropriate CBL 2/CBL prompt. Enter a number using the number , the calculator to specify Data Results ( Y ) Stored to: ÙTEMP...
  • Page 475 Also, the data collection method stores data results to the DATA LOGGER same list names, overwriting previously-collected data results, even those collected using the data collection method. GAUGE TI-83 Plus Applications...
  • Page 476 When you select a probe option, all other options change accordingly. Use " and ! to move between the probe options. To select a probe, highlight the one you want with the cursor keys, and then press Í. TI-83 Plus Applications...
  • Page 477 UNITS: PLOT: DIRECTNS: Ymin ('): Ymax ('): data collection results are represented as a DATA LOGGER Temp-Time, Light-Time, Volt-Time, or Distance-Time graph. TI-83 Plus Applications Light Volt Sonic mW/cm Volt Cm or Ft RealTme or End On or Off A Distance-Time graph in...
  • Page 478 CBL 2/CBL information about interval limits. UNITS The results are displayed according to the specified. To specify a UNITS unit measurement ( only), highlight the one you want using Temp Sonic the cursor keys, and then press Í. TI-83 Plus Applications...
  • Page 479 , the calculator Sonic DIRECTNS= displays a menu screen before starting the application asking you to select This ensures that you get the appropriate 1:CBL 2:CBR. directions. Press to specify to specify CBL 2/CBL TI-83 Plus Applications...
  • Page 480 Also, the data collection method stores data results to the same GAUGE list names, overwriting previously-collected data results, even those collected using the DATA LOGGER TI-83 Plus Applications Data Results ( Y ) Stored to: ¨TEMP ¨LIGHT ¨VOLT ¨DIST...
  • Page 481 CBR RANGER RANGER program, a customized program especially for the TI-83 Plus that makes it compatible with the CBR. When the collection process is halted, the is deleted from RAM. To run the CBR program...
  • Page 482 Press to specify If you select START NOW collection method, the calculator displays one directions screen. Press b to begin data collection. TI-83 Plus Applications GAUGE DATA LOGGER START NOW DATA LOGGER This ensures that you get the appropriate...
  • Page 483 To exit from the RANGER select menu. Select MAIN Press from the 4:QUIT Home screen. TI-83 Plus Applications data collection methods stop after the RANGER TI-83 Plus. on the CBL 2, or P on the option menus without beginning DATA LOGGER...
  • Page 484 Chapter 15: CATALOG, Strings, Hyperbolic Functions Browsing the TI-83 Plus CATALOG What Is the CATALOG? is an alphabetical list of all functions and instructions on the CATALOG TI-83 Plus. You also can access each keyboard, except: The six string functions...
  • Page 485 For example, among the items that begin with the letter Functions that appear as symbols, such as the last item that begins with press [ TI-83 Plus CATALOG, Strings, Hyperbolic Functions item, follow these steps. ä to display the CATALOG...
  • Page 486 3. Press Í to paste the item to the current screen. menu, press } to move to the bottom. From Tip: From the top of the CATALOG the bottom, press † to move to the top. TI-83 Plus CATALOG, Strings, Hyperbolic Functions...
  • Page 487: Entering And Using Strings

    Count each number, letter, and space as one character. Count each instruction or function name, such as character; the TI-83 Plus as one character. Entering a String To enter a string on a blank line on the home screen or in a program, follow these steps.
  • Page 488 4. Press Í. On the home screen, the string is displayed on the next line without quotations. An ellipsis ( beyond the screen. To scroll the entire string, press ~ and |. Note: Quotation marks do not count as string characters. TI-83 Plus CATALOG, Strings, Hyperbolic Functions ) indicates that the string continues...
  • Page 489: Storing Strings To String Variables

    Storing Strings to String Variables String Variables TI-83 Plus has 10 variables to which you can store strings. You can use string variables with string functions and instructions. To display the menu, follow these steps. VARS STRING 1. Press  to display the menu.
  • Page 490 ( 5. Press Í to store the string to the string variable. On the home screen, the stored string is displayed on the next line without quotation marks. TI-83 Plus CATALOG, Strings, Hyperbolic Functions menu. VARS STRING , or...
  • Page 491 Displaying the Contents of a String Variable To display the contents of a string variable on the home screen, select menu, and then press Í. the string variable from the VARS STRING The string is displayed. TI-83 Plus CATALOG, Strings, Hyperbolic Functions...
  • Page 492: String Functions And Instructions In The Catalog

    CATALOG Equ4String( expr( inString( length( String4Equ( sub( TI-83 Plus CATALOG, Strings, Hyperbolic Functions CATALOG Converts an equation to a string. Converts a string to an expression. Returns a character’s place number. Returns a string’s character length. Converts a string to an equation.
  • Page 493 Selecting a String Function from the CATALOG To select a string function or instruction and paste it to the current screen, follow the steps for selecting an item from the TI-83 Plus CATALOG, Strings, Hyperbolic Functions , and so on.
  • Page 494 Equ4String(Y ,Str expr( converts the character string contained in to an expression expr( string and executes it. can be a string or a string variable. string expr( string ) TI-83 Plus CATALOG, Strings, Hyperbolic Functions...
  • Page 495 Note: An instruction or function name, such as sin( or cos( , counts as one character. length( string ) TI-83 Plus CATALOG, Strings, Hyperbolic Functions...
  • Page 496 , begin , length ) TI-83 Plus CATALOG, Strings, Hyperbolic Functions into an equation and stores the equation to string String4Equ(...
  • Page 497 Entering a Function to Graph during Program Execution In a program, you can enter a function to graph during program execution using these commands. Note: When you execute this program, enter a function to store to at the prompt. ENTRY= TI-83 Plus CATALOG, Strings, Hyperbolic Functions...
  • Page 498: Hyperbolic Functions In The Catalog

    CATALOG cosh( Hyperbolic cosine cosh Hyperbolic arccosine sinh( Hyperbolic sine sinh Hyperbolic arcsine tanh( Hyperbolic tangent tanh Hyperbolic arctangent TI-83 Plus CATALOG, Strings, Hyperbolic Functions menu items. The ellipses in the table indicate items. CATALOG . The table CATALOG...
  • Page 499 ( value ) cosh ( value ) sinh ( value ) TI-83 Plus CATALOG, Strings, Hyperbolic Functions are the hyperbolic functions. Each is valid for real cosh is the hyperbolic arctangent function. Each is is the hyperbolic...
  • Page 500 Press name the program You are now in the program editor. The colon ) in the first column of the second line indicates the beginning of a command line. TI-83 Plus Programming TI-83 Plus PRGM NEW . The 1:Create New ], and then press Í...
  • Page 501 6. Press y 5 to display the home screen. 7. Press  to display the items on this menu are the names of stored programs. TI-83 Plus Programming to select from the 2:Prompt is copied to the ] ¢...
  • Page 502 Í. The text , the value of VOLUME IS displayed. Repeat steps 7 through 9 and enter different values for TI-83 Plus Programming to the prgmCYLINDER is not item CYLINDER menu, move the cursor to...
  • Page 503: Creating And Deleting Programs

    When you execute a program, the performs each instruction on each command line in the same order in which you entered them. The number and size of programs that the TI-83 Plus can store is limited only by available memory. Creating a New Program To create a new program, follow these steps.
  • Page 504 1. Press y L to display the 2. Select 2:Mem Mgmt/Del menu (Chapter 18). 3. Select to display the PRGM editor. 7:Prgm TI-83 Plus expresses memory quantities in bytes. TI-83 Plus Programming menu. MEMORY to display the MEMORY MANAGEMENT/DELETE...
  • Page 505 Note: You will receive a message asking you to confirm this delete action. Select to continue. 2:yes To leave the PRGM editor screen without deleting anything, press y 5, which displays the home screen. TI-83 Plus Programming from the 2:Mem Mgmt/Del ) next to the program MEMORY...
  • Page 506 To unarchive a program in this screen, put the cursor next to the archived program and press Í. The asterisk will disappear. Note: Archive programs cannot be edited or executed. In order to edit or execute an archived program, you must first unarchive it. TI-83 Plus Programming 2:Mem Mgmt/Del to display the MEM MGMT/DEL menu.
  • Page 507: Entering Command Lines And Executing Programs

    Programs can access variables, lists, matrices, and strings saved in memory. If a program stores a new value to a variable, list, matrix, or string, the program changes the value in memory during execution. You can call another program as a subroutine. TI-83 Plus Programming...
  • Page 508 Last Answer ( ) is updated during program execution. Last Entry is not updated as each command is executed (Chapter 1). TI-83 Plus checks for errors during program execution. It does not check for errors as you enter a program.
  • Page 509 Breaking a Program To stop program execution, press É. The To return to the home screen, select To go where the interruption occurred, select TI-83 Plus Programming menu is displayed. ERR:BREAK 1:Quit 2:Goto...
  • Page 510: Editing Programs

    Tip: To move the cursor to the beginning of a command line, press y |; to move to the end, press y ~. To scroll the cursor down seven command lines, press ƒ †. To scroll the cursor up seven command lines, press ƒ }. TI-83 Plus Programming menu.
  • Page 511 Í. A colon indicates a new line. To delete a command line, place the cursor on the line, press ‘ to clear all instructions and expressions on the line, and then press { to delete the command line, including the colon. TI-83 Plus Programming...
  • Page 512: Copying And Renaming Programs

    You can create a template for groups of instructions that you use frequently. You can rename a program by copying its contents into a new program. TI-83 Plus Programming Creating a New Program is displayed on the bottom line of the program...
  • Page 513 Note: You also can copy all the command lines from one existing program to another existing program using Scrolling the PRGM EXEC and PRGM EDIT Menus TI-83 Plus sorts menu items automatically PRGM EXEC PRGM EDIT into alphanumerical order. Each menu only labels the first 10 items using...
  • Page 514 A:IS>( B:DS<( C:Menu( D:prgm E:Return F:Stop G:DelVar H:GraphStyle( TI-83 Plus Programming (program control) menu, press  from the Creates a conditional test. Executes commands when Executes commands when Creates an incrementing loop. Creates a conditional loop. Creates a conditional loop.
  • Page 515 To return to the program editor without selecting an item, press ‘. Controlling Program Flow Program control instructions tell the TI-83 Plus which command to execute next in a program. , and...
  • Page 516 Program If.Then following an executes a group of Then (nonzero). identifies the end of the group of :If condition :Then (if true) : command (if true) : command :End : command TI-83 Plus Programming Output commands is true condition commands...
  • Page 517 :If condition :Then (if true) : command (if true) : command :Else (if false) : command (if false) : command :End : command TI-83 Plus Programming Output executes a group of is false commands condition commands...
  • Page 518 :For( variable , begin , end (while not exceeded) : command (while not exceeded) : command :End : command TI-83 Plus Programming Output loops can be nested. For( , increment from variable begin...
  • Page 519 (zero), the program executes each instructions can be nested. :While condition (while : command condition (while : command condition :End : command TI-83 Plus Programming Output while commands condition condition is true (nonzero), the program executes a group command is true) is true) is true.
  • Page 520 :Repeat condition (until : command condition (until : command condition :End ommand Program TI-83 Plus Programming Output until commands is tested when condition is always executed at least once. commands is true) is true) Output is true (nonzero).
  • Page 521 DispGraph Disp screen is displayed. with displays Pause value be scrolled. Pause value TI-83 Plus Programming commands , or For( While temporarily pauses the program. If the instruction has been executed, the appropriate on the current home screen. value . You must include an loop.
  • Page 522 Lbl label causes the program to branch to Goto Goto label TI-83 Plus Programming Output (go to) are used together for branching. for a command. label , or label can be one or two characters when is encountered.
  • Page 523 :IS>( variable , value ) (if answer  : command (if answer > : command Program Note: IS>( is not a looping instruction. TI-83 Plus Programming Output variable. is skipped; if the answer is { command is executed. variable...
  • Page 524 If Menu( program execution, the menu screen is displayed with the specified menu items, the pause indicator is on, and execution pauses until you select a menu item. TI-83 Plus Programming is executed. command value...
  • Page 525 PRGM EXEC program that you have not yet created. prgm name TI-83 Plus Programming . . . Output is equivalent to selecting existing programs prgm ). Up to seven pairs of "...
  • Page 526 Stop stops execution of a program and returns to the home screen. Stop Stop is optional at the end of a program. DelVar deletes from memory the contents of DelVar variable DelVar variable TI-83 Plus Programming...
  • Page 527 ë (path; Not all graph styles are available in all graphing modes. For a detailed description of each graph style, see the Graph Styles table in Chapter 3. TI-83 Plus Programming that corresponds to the graph style, as shown = ë (path) = ì...
  • Page 528 These instructions control input to and output from a program during execution. They allow you to enter values and display answers during program execution. To return to the program editor without selecting an item, press ‘. TI-83 Plus Programming (program input/output) menu, press  ~ from TI-83...
  • Page 529 Displaying a Graph with Input without a variable displays the current graph. You can move the Input free-moving cursor, which updates (and PolarGC format). The pause indicator is on. Press Í to resume program execution. Input Program Output TI-83 Plus Programming...
  • Page 530 Í. The value is stored to program resumes execution. Input " text ", variable Input Str n , variable Program TI-83 Plus Programming (question mark) prompt during execution. or the contents of Str n Output (a string variable) of up to 16...
  • Page 531 Note: Y= functions are not valid with Prompt Displaying the Home Screen (display) without a value displays the home screen. To view the Disp home screen during program execution, follow the instruction with a Disp instruction. Pause Disp TI-83 Plus Programming...
  • Page 532 Note: If a matrix or list is too large to display in its entirety, ellipses (...) are displayed in the last column, but the matrix or list cannot be scrolled. To scroll, value. Pause TI-83 Plus Programming displays the value of each. values , value n is not valid as text.
  • Page 533 Output( row , column ," text ") Output( row , column , value ) TI-83 Plus Programming , the program halts temporarily so you can on the current home screen beginning at...
  • Page 534 0. Use getKey example, when creating video games. Program Note: You can press É at any time during execution to break the program. TI-83 Plus Programming Output split screen, the maximum value for inside loops to transfer control, for...
  • Page 535 TI-83 Plus Key Code Diagram ClrHome, ClrTable (clear home screen) clears the home screen during program ClrHome execution. (clear table) clears the values in the table during program ClrTable execution. TI-83 Plus Programming...
  • Page 536 TI-83 Plus. name, matrix element, matrix name, string, or picture. Get( variable ) Note: If you transfer a program that references the TI-83 Plus from a TI.82, the above. Use to get data from another GetCalc( sends the contents of...
  • Page 537 Send( variable ) Note: You can access them from the home screen (Chapter 15). TI-83 Plus Programming Note: This program gets sound data and time in seconds from CBL 2/CBL. , and Get( Send( GetCalc( from the to execute CATALOG...
  • Page 538: Calling Other Programs As Subroutines

    It returns to the subsequent command in the first program when it encounters either Return program. TI-83 Plus Programming menu and select the name of PRGM EXEC is pasted to the current cursor location on a...
  • Page 539 Goto exits a subroutine and returns to the calling program, even if it is Return encountered within nested loops. TI-83 Plus Programming Output & is local to the program where it is located. in another program.
  • Page 540: Running An Assembly Language Program

    To run an assembly Program, the syntax is: If you write an assembly language program, use the two instructions below from the to identify and compile the program. CATALOG TI-83 Plus Programming TI-83 Plus menu item. You can: PRGM TI-83 Plus communication link (Chapter 19).
  • Page 541 5. Press ¢ and then select 6. Key in the name you have chosen for the output program. Note: This name must be unique — not a copy of an existing program name. TI-83 Plus Programming Comments Compiles an assembly language program written in ASCII and stores the hex version Identifies an assembly language program;...
  • Page 542 7. Press ¤ to complete the sequence. The sequence of the arguments should be as follows: AsmComp( prgmASM1, prgmASM2 8. Press Í to compile your program and generate the output program. TI-83 Plus Programming...
  • Page 543 X term. Press ƒ [ enter a new instruction on the same line. Press ¿ ƒ [ ] (above ) to store the constant. TI-83 Plus Activities + 5X + 2 = 0. ] (above ) to store term.
  • Page 544 The answer is shown on the right side of the display. The cursor moves to the next line, ready for you to enter the next expression. TI-83 Plus Activities ] Ã y C ƒ [ ] ¤ ¤ ¥ £...
  • Page 545 1. Press  to display the 2. Press to select When you press home screen. last calculated answer. 3. Press Í to convert the result to a fraction. TI-83 Plus Activities menu. MATH from the 1:4Frac MATH is displayed on the...
  • Page 546 5. Press } to move the cursor onto the the formula. Press ¹ to edit the quadratic- formula expression to become: 6. Press Í to find the other solution for the quadratic equation 3X TI-83 Plus Activities sign in + 5X + 2 = 0.
  • Page 547 The Quadratic Formula Displaying Complex Results Now solve the equation 2X number mode, the TI-83 Plus 1. Press z † † † † † † (6 times), and then press ~ to position the cursor over Press Í to select mode.
  • Page 548 7. Press Í to find the other solution for the quadratic equation: 2X Note: An alternative for solving equations for real numbers is to use the built-in Equation Solver (Chapter 2). TI-83 Plus Activities N X + 3 = 0.
  • Page 549: Box With Lid

    From the diagram: 2X + A = 20 Substituting: V = (20 N 2X) (25à 2 N X) X 1. Press o to display the where you define functions for tables and graphing. TI-83 Plus Activities 2X + 2B = 25 V = A*B*X editor, which is...
  • Page 550 2. Press Í to accept Í to define the table increment 3. Press . Leave @Tbl=1 Indpnt: Auto that the table will be generated automatically. TI-83 Plus Activities „ ¤ £ ¥ 2 ¹ „ quickly, without having sign indicates TI-83 Plus...
  • Page 551 6. Press y -. Notice that TblStart the first line of the table as it was last displayed. (In step 5, the first value of table is TI-83 Plus Activities (box’s is about , between is displayed. for this (box’s...
  • Page 552 2. Press y 0. 3. Press † and } to scroll the table. Notice that the maximum value for which occurs at occurs where TI-83 Plus Activities . Press Ë TblStart for maximum volume . Therefore, the maximum <...
  • Page 553 410.26 3.67 6. Press † or } to move the cursor to ~ to move the cursor into the The value of bottom line in full precision as TI-83 Plus Activities Ë Í to set Í to set @Tbl , and 3.68...
  • Page 554 The values of the window variables determine the size of the viewing window. 1. Press p to display the window editor, where you can view and edit the values of the window variables. TI-83 Plus Activities in full precision is 3.68 and at 3.69...
  • Page 555 ¥ 3. Press to define expression. 4. Press Í. The expression is evaluated, and is stored in Xmax Í 5. Press define the remaining window variables. TI-83 Plus Activities Xmin Xmax axes. controls Xres Xmin using an Xmax . Press Í to accept Í...
  • Page 556 1. Press s to graph the selected function in the viewing window. The graph of =(20N2X)(25à2NX)X 2. Press ~ to activate the free-moving graph cursor. coordinate values for the position of the graph cursor are displayed on the bottom line. TI-83 Plus Activities feature. TRACE is displayed.
  • Page 557 You also can enter your estimate for the maximum value of Ë 6. Press . When you press a number key while in , the TRACE bottom-left corner. TI-83 Plus Activities coordinate , one at each prompt is displayed in the dot at...
  • Page 558 Box with Lid Zooming In on the Graph To help identify maximums, minimums, roots, and intersections of functions, you can magnify the viewing window at a specific location using the instructions. ZOOM TI-83 Plus Activities X=3.8 for the pixel...
  • Page 559 3. With the cursor near the maximum value of the function, press Í. The new viewing window is displayed. Both Xmax Xmin Ymax adjusted by factors of 4, the default values for the zoom factors. TI-83 Plus Activities menu. ZOOM TI-83 Plus menu. To 2:Zoom In have been...
  • Page 560 You can use a CALCULATE of a function. 1. Press y / (above r) to display the menu. Press CALCULATE The graph is displayed again with a prompt. TI-83 Plus Activities menu operation to calculate a local maximum to select 4:maximum Left Bound?
  • Page 561 Í. at the top of the screen indicates the selected bound. prompt is displayed. Guess? 4. Press | to trace to a point near the maximum, and then press Í. TI-83 Plus Activities...
  • Page 562 Note: In steps 2 and 3 above, you can enter values directly for Left Bound and Right Bound, in the same way as described in step 4. TI-83 Plus Activities...
  • Page 563: Comparing Test Results Using Box Plots

    Then they held the other 15 objects one by one in their right hands and guessed what they were. Use box plots to compare visually the correct-guess data from this table. Women Left TI-83 Plus Activities Correct Guesses Women Right...
  • Page 564 ( the number of correct guesses each woman made using her right hand Women Right 4. Likewise, enter each man’s correct guesses in MRGHT Men Right TI-83 Plus Activities Women Right . Enter list names 5:SetUpEditor , separated by commas.
  • Page 565 For the right hand? With which hand were the women more accurate guessers, according to the box plots? 9. Examine the men’s results. Redefine plot 1 to use plot 2 to use MRGHT TI-83 Plus Activities . Turn on plot 1; define it as a 1:Plot1 that uses Õ...
  • Page 566 This is not what our box plots show for adults. Do you think that this is because adults have learned to adapt or because our sample was not large enough? TI-83 Plus Activities Men’s left-hand data Men’s right-hand data...
  • Page 567: Graphing Piecewise Functions

    1. Press z. Select 2. Press o. Turn off all functions and stat plots. Enter the describe the fine. Use the piecewise function. Set the graph style for TI-83 Plus Activities and the default settings. Func menu operations to define the TEST 0 <...
  • Page 568 Integer values for values for tracing. 5. Press r to plot the function. At what speed does the ticket exceed 250? TI-83 Plus Activities Xmin=L2 Xscl=10 are on the...
  • Page 569: Graphing Inequalities

    3. Enter the statement of the inequality as if true or if false. TI-83 Plus Activities N 3X + 5 < 0 2X + 4. Use the , and the default settings. Setting...
  • Page 570 6. Press o. Turn off inequality. 7. Press r. Notice that the values of inequality is false. TI-83 Plus Activities . Then press | and ~ to trace the , and . Enter equations to graph only the...
  • Page 571: Solving A System Of Nonlinear Equations

    Enter the functions. 2. Press q to select solutions may exist (points where the two functions appear to intersect). TI-83 Plus Activities N 2X = 2cos(X). Stated another factors to control the decimal places ZOOM . The display shows that two...
  • Page 572 8. Press q to select 9. Press q. Select the apparent function intersection on the left side of the display. TI-83 Plus Activities to select 4:SetFactors YFact=10 . Use |, ~, }, and † to move the 2:Zoom In .
  • Page 573: Using A Program To Create The Sierpinski Triangle

    PROGRAM:SIERPINS :FnOff :ClrDraw :PlotsOff :AxesOff :0!Xmin:1!Xmax :0!Ymin:1!Ymax :rand!X:rand!Y :For(K,1,3000) :rand!N :If N1 à 3 :Then :.5X!X :.5Y!Y :End TI-83 Plus Activities , and then press Í. The program SIERPINS Set viewing window. Beginning of For group. If / Then group...
  • Page 574 :End :Pt-On(X,Y) :End :StorePic 6 After you execute the program above, you can recall and display the picture with the instruction TI-83 Plus Activities If / Then group. If / Then group. Draw point. End of For group. Store picture.
  • Page 575: Graphing Cobweb Attractors

    3. Press y 5 to return to the home screen, and then store 4. Press p. Set the window variables. n Min=0 n Max=10 PlotStart=1 PlotStep=1 TI-83 Plus Activities and the default mode settings. Press y format and the default format settings. Xmin=0 Ymin=M.26 Xmax=1 Ymax=1.1...
  • Page 576 5. Press r to display the graph, and then press ~ to trace the cobweb. This is a cobweb with one attractor. 6. Change 3.44 attractors. 7. Change 3.54 attractors. TI-83 Plus Activities and trace the graph to show a cobweb with two and trace the graph to show a cobweb with four...
  • Page 577: Using A Program To Guess The Coefficients

    C sin(DX). The program continues until your guess is correct. Program PROGRAM:GUESS :PlotsOff :Func :FnOff :Radian :ClrHome :"Asin(BX)"!Y1 :"Csin(DX)"!Y2 :GraphStyle(1,1) :GraphStyle(2,5) :FnOff 2 :randInt(1,10)!A :randInt(1,10)!B :0!C:0!D :L2p!Xmin :2p!Xmax :pà2!Xscl :L10!Ymin :10!Ymax TI-83 Plus Activities Define equations. Set line and path graph styles. Initialize coefficients. Set viewing window.
  • Page 578 :Text(1,1,"C IS WRONG") :If D=B :Text(1,50,"D IS OK") :If DƒB :Text(1,50,"D IS WRONG") :DispGraph :Pause :If C=A and D=B :Stop :Goto Z TI-83 Plus Activities Display graph. Prompt for guess. Display graph. Display results. Display graph. Quit if guesses are correct.
  • Page 579: Graphing The Unit Circle And Trigonometric Curves

    Tmin=0 Tmax=2p Tstep=.1 3. Press o. Turn off all functions and stat plots. Enter the expressions to define the unit circle centered on (0,0). TI-83 Plus Activities mode can be plotted in Func and the , and the default settings.
  • Page 580 5. Press r. As the graph is plotting, you may press Í to pause and Í again to resume graphing as you watch the sine function “unwrap” from the unit circle. Note: You can generalize the unwrapping. Replace trig function to unwrap that function. TI-83 Plus Activities with any other sin(T)
  • Page 581: Finding The Area Between Curves

    1. Press z. Select the default mode settings. 2. Press p. Set the viewing window. Xmin=0 Xmax=100 Xscl=10 3. Press o. Turn off all functions and stat plots. Enter the upper and lower functions. =300Xà(X +625) =3cos(.1X) TI-83 Plus Activities Ymin=L5 Ymax=10 Yscl=1 Xres=1...
  • Page 582 6. Press y 5 to return to the home screen. Enter the expression to evaluate the integral for the shaded region. fnInt(Y –Y ,X,Ans,75) The area is 325.839962 TI-83 Plus Activities to select . The graph is displayed. Select 5:Intersect and use...
  • Page 583 T. X(T) = b N Tv cosq sinq N (gà2) T Y(T) = Tv TI-83 Plus Activities where a = 2pTs and r = dà2 where g = 9.8 m/sec ) of 22 meters per...
  • Page 584 Set the graph style for Tip: Try setting the graph styles to ë X the ferris wheel and the ball flying through the air when you press s. TI-83 Plus Activities , and the default settings. Simul...
  • Page 585 Tmin=1 Tmax=3 Tstep=.03 6. Press r. After the graph is plotted, press ~ to move near the point on the ferris wheel where the paths cross. Notice the values of , and TI-83 Plus Activities Xmin=0 Xmax=23.5 Xscl=10 Ymin=10 Ymax=25.5...
  • Page 586 Did the ball or the passenger reach the intersection first? You can use r to, in effect, take snapshots in time and explore the relative behavior of two objects in motion. TI-83 Plus Activities...
  • Page 587: Demonstrating The Fundamental Theorem Of Calculus

    Procedure 1 1. Press z. Select the default settings. 2. Press p. Set the viewing window. Xmin=.01 Xmax=10 Xscl=1 TI-83 Plus Activities from the nDeriv( and that Ymin=M1.5 Ymax=2.5 Yscl=1 menu to graph...
  • Page 588 1àX and the function 1àX. Set the graph style for (line) and ç 6. Press r. Again, use the cursor keys to compare the values of the two graphed functions, TI-83 Plus Activities to ë (path). , and then enter the numerical derivative (thick).
  • Page 589 1. Press o. Turn off all functions and stat plots. Use a list to define these three functions simultaneously. Store the function in 2. Press q to select 3. Press r. Notice that the functions appear identical, only shifted vertically by a constant. TI-83 Plus Activities 6:ZStandard...
  • Page 590 4. Press o. Enter the numerical derivative of 5. Press r. Notice that although the three graphs defined by different, they share the same derivative. TI-83 Plus Activities...
  • Page 591 N = 4 sides N = 8 sides N = 12 sides Procedure 1. Press  to select from the menu. Either the 0:Solver MATH equation editor or the interactive solver editor is displayed. If the TI-83 Plus Activities...
  • Page 592 5. Now solve for for a given area with various number of sides. Enter . To find the distance A=200 then press ƒ \. TI-83 Plus Activities 0=ANNB sin(p / N)cos(p / N) to find the area ( ) of a square with a distance ( , and then press ƒ...
  • Page 593 Xmin=0 Xmax=200 Xscl=10 10. Press o. Turn off all functions and stat plots. Enter the equation for the area. Use in place of TI-83 Plus Activities , move the cursor onto , and then for , and N=10 (the area of a circle with radius 6), which is...
  • Page 594 N-sided regular polygon, with r as the distance from the center to a vertex, approaches the area of a circle with radius r (pr as N gets large. TI-83 Plus Activities Í. Press Í. Notice that as , which is approximately 113.097.
  • Page 595: Computing And Graphing Mortgage Payments

    2. Press Œ Í Í to display the Note: Enter a positive number ( 800 ) to show values will be displayed as positive numbers on the graph. Enter 0 for TI-83 Plus Activities decimal places. Set . Enter these values.
  • Page 596 4. Press z. Set 5. Press o. Turn off all functions and stat plots. Enter these equations and set the graph styles as shown. Note: GPrn( and GInt( are located on the TI-83 Plus Activities prompt, and then press ƒ \. Simul...
  • Page 597 The graph shows that for the 240th payment ( 800 payment is applied to principal ( Note: The sum of the payments ( Y 8. Press † to move the cursor onto the function for interest defined by . Enter TI-83 Plus Activities Xmin=0 Xmax=360 Xscl=10 , which is equivalent to 20 years of payments.
  • Page 598 800 payment is interest ( 9. Press y 5 Œ Í Check the figures from the graph. At which monthly payment will the principal allocation surpass the interest allocation? TI-83 Plus Activities Y=441.97 to paste to the home screen. 9:bal( ), 441.97 of the...
  • Page 599: Checking Available Memory

    3:Clear Entries 4:ClrAllLists 5:Archive... 6:UnArchive... 7:Reset... 8:Group... To check memory usage Mgmt/Del TI-83 Plus Memory and Variable Management MEMORY Displays information about the calculator. Reports memory availability and variable usage. Clears (last-entry storage). ENTRY Clears all lists in memory. Archives a selected variable.
  • Page 600 To check memory usage, follow these steps. 1. Press y L to display the 2. Select 2:Mem Mgmt/Del menu. The TI-83 Plus TI-83 Plus Memory and Variable Management MEMORY MANAGEMENT/DELETE menu. MEMORY...
  • Page 601 You cannot edit or change variables in AppVars unless you do so through the application which created them. To leave the MEMORY MANAGEMENT/DELETE y 5 or ‘. Both options display the home screen. TI-83 Plus Memory and Variable Management menu, press either...
  • Page 602: Deleting Items From Memory

    A screen is displayed listing each variable of the type you selected and the number of bytes each variable is using. For example, if you select TI-83 Plus Memory and Variable Management variable, program, Apps, menu.
  • Page 603 To leave any variable screen without deleting anything, press y 5, which displays the home screen. Note: You cannot delete some system variables, such as the last-answer variable and the statistical variable TI-83 Plus Memory and Variable Management ) next to the item you to continue. 2:Yes...
  • Page 604: Clearing Entries And List Elements

    Clear Entries Note: If you select from within a program, the 3:Clear Entries Clear Entries instruction is pasted to the program editor, and the (last entry) is cleared Entry when the program is executed. TI-83 Plus Memory and Variable Management...
  • Page 605 Note: If you select 4:ClrAllLists is pasted to the program editor. The lists are cleared when the program is executed. TI-83 Plus Memory and Variable Management MEMORY to paste the instruction to the home screen. the dimension of each list in memory.
  • Page 606 Resetting the TI-83 Plus RAM ARCHIVE ALL Menu RAM ARCHIVE ALL memory (including default settings) or resetting selected portions of memory while preserving other data stored in memory, such as programs and functions. For instance, you can choose to reset all of RAM or just restore the default settings.
  • Page 607 Resetting RAM Memory Resetting RAM restores RAM system variables to factory settings and deletes all nonsystem variables and all programs. Resetting defaults restores all system variables to default settings without deleting variables TI-83 Plus Memory and Variable Management Xmin=L10 Xmax=10 (graphing coordinates on);...
  • Page 608 To cancel the reset and return to the home screen, press Í. To erase RAM memory or reset defaults, select Depending on your choice, the message is displayed on the home screen. TI-83 Plus Memory and Variable Management defaults on the menu, select...
  • Page 609 To reset all or part of user data archive memory, follow these steps. 1. From the RAM ARCHIVE ALL menu. 2. Select one of the following: to display the 1:Vars TI-83 Plus Memory and Variable Management TI-83 menu, press ~ to display the menu RESET ARC VAR Plus, you can choose to...
  • Page 610 To cancel the reset and return to the home screen, press Í. To continue with the reset, select the type of archive memory cleared will be displayed on the home screen. TI-83 Plus Memory and Variable Management menu. RESET ARC APPS menu.
  • Page 611 To reset all memory on the TI-83 Plus, follow these steps. menu, press ~ ~ to display the 1. From the menu. RAM ARCHIVE ALL 2. Select to display the menu. 1:All Memory RESET MEMORY TI-83 Plus Memory and Variable Management...
  • Page 612 Note: When you clear memory, the contrast sometimes changes. If the screen is faded or blank, adjust the contrast by pressing y } or †. TI-83 Plus Memory and Variable Management menu. RESET MEMORY .
  • Page 613: Archiving And Unarchiving Variables

    For example, system variables including r, t, x, y, and q cannot be archived. Apps and Groups always exist in Flash ROM so there is no need to archive them. Groups cannot be unarchived. However, you can ungroup or delete them. TI-83 Plus Memory and Variable Management...
  • Page 614 Polar functions Sequence functions Stat plots Graph databases Graph pictures Strings TI-83 Plus Memory and Variable Management Names A , B , ... , Z A , B , ... , Z ãAä , ãBä , ãCä , ... , ãJä...
  • Page 615 Before archiving or unarchiving variables, particularly those with a large byte size (such as large programs) use the Find the size of the variable. See if there is enough free space. TI-83 Plus Memory and Variable Management Names TblStart , Tb1 ,...
  • Page 616 MEMORY menu: 1. Press y L to display the 2. Select 5:Archive screen. TI-83 Plus Memory and Variable Management Sizes must be such that: Archive free size > variable size RAM free size > variable size MEMORY...
  • Page 617 To archive or unarchive a list variable (L1) using a Memory Management editor: 1. Press y L to display the menu. MEMORY 2. Select to display the 2:Mem Mgmt/Del... MEMORY MANAGEMENT/DELETE menu. TI-83 Plus Memory and Variable Management...
  • Page 618 The asterisk will disappear. 5. Press y 5 to leave the Note: You can access an archived variable for the purpose of linking, deleting, or unarchiving it, but you cannot edit it. TI-83 Plus Memory and Variable Management menu. LIST .
  • Page 619: Grouping And Ungrouping Variables

    In other words, archived data cannot be included in a group. To create a group of variables: 1. Press y L to display the menu. MEMORY 2. Select to display menu. 8:Group... GROUP UNGROUP TI-83 Plus Memory and Variable Management...
  • Page 620 1:All- selected. A screen is displayed listing each variable of the type you selected. For example, suppose some variables have been created in RAM, and selecting 1:All- TI-83 Plus Memory and Variable Management menu. GROUP displays the following screen. which...
  • Page 621 Repeat the selection process until all variables for the new group are selected and then press ~ to display the 7. Press Í to complete the grouping process. TI-83 Plus Memory and Variable Management ) next to the first item menu.
  • Page 622 5:Quit Stops transmission at duplicate variable. Notes about Menu Items: When you select alpha-lock is on. Enter a new variable name, and then press Í. Ungrouping resumes. TI-83 Plus Memory and Variable Management menu is displayed. , the 1:Rename Name=...
  • Page 623 To ungroup a group of variables: 1. Press y L to display the 2. Select 8:Group... 3. Press ~ to display the TI-83 Plus Memory and Variable Management , the unit overwrites the data of the 2:Overwrite , the unit overwrites the data of all...
  • Page 624 Í. The ungroup action is completed. Note: Ungrouping does not remove the group from user data archive. You must delete the group in user data archive to remove it. TI-83 Plus Memory and Variable Management ) next to the group...
  • Page 625: Garbage Collection

    Note: The process message Defragmenting... is displayed whenever an application marked for deletion is encountered. Garbage collection may take up to 20 minutes, depending on how much of archive memory has been used to store variables. TI-83 Plus Memory and Variable Management 1:No , the message will be displayed.
  • Page 626 If there is not enough space left in the sector, the next variable is stored at the beginning of the next sector. Typically, this leaves an empty block at the end of the previous sector. TI-83 Plus Memory and Variable Management...
  • Page 627 Garbage collection occurs when the variable you are archiving is larger than any empty block. TI-83 Plus Memory and Variable Management Sector 1 variable A...
  • Page 628 B and C, they continue to take up space. Unarchived variables are “marked for deletion,” meaning they will be deleted during the next garbage collection. TI-83 Plus Memory and Variable Management Sector 1 variable A Sector 2 variable D...
  • Page 629 Rearranges the remaining variables into consecutive blocks. Note: Power loss during garbage collection may cause all memory (RAM and Archive) to be deleted. TI-83 Plus Memory and Variable Management screen shows enough free space to archive a message. Archive free...
  • Page 630 CATALOG command. GarbageCollect 3. Press Í to paste the command to the current screen. 4. Press Í to display the message. Garbage Collect? 5. Select to begin garbage collection. 2:Yes TI-83 Plus Memory and Variable Management...
  • Page 631 To resolve the problem, use the memory. If memory is still insufficient, you must delete variables or applications to increase space. TI-83 Plus Memory and Variable Management screen shows enough free ERR: ARCHIVE...
  • Page 632 I y I ¿ y > to store the matrix to 3. On the sending unit, press y L to display menu. MEMORY TI-83 Plus Communication Link . Press Í to store 5.5 ¢ y I y H . Press Í...
  • Page 633 9. On the sending unit, press y 8 to display menu. SEND 10. Press to select is displayed. TI-83 Plus Communication Link to select menu is to select menu. Press to select is displayed Waiting .
  • Page 634 14. On the sending unit, press and begin transmission. The receiving unit displays the message items are transmitted, both units display the name and type of each transmitted variable. TI-83 Plus Communication Link ) is next to to select 1:Transmit .When the...
  • Page 635 TI-83 Plus Silver Edition LINK This chapter describes how to communicate with compatible TI units. A unit-to-unit link cable is included with the purpose. TI-83 Plus Silver Edition with: Another TI-83 Plus Silver Edition A TI-83 Plus A TI-83 A TI-82...
  • Page 636 Connecting Two Calculators with a Unit-to-Unit Cable TI-83 Plus link port is located at the center of the bottom edge of the calculator. 1. Firmly insert either end of the unit-to-unit cable into the port. 2. Insert the other end of the cable into the other calculator’s port.
  • Page 637: Selecting Items To Send

    9:Real... 0:Complex... A:Y-Vars... B:String... C:Apps... D:AppVars... E:Group... F:SendId TI-83 Plus Communication Link menu, press y 8. Displays all items as selected, including RAM and Flash applications. Displays all items as deselected. Displays all program names. Displays all list names. Displays list names L Displays all graph databases.
  • Page 638 TI-83 Plus Silver Edition LINK SEND , is initially displayed with nothing pre- All+… screen is displayed. or TI-83 Plus. or to a TI-83 Plus. menu, the corresponding LINK SEND ) to an item you want menu.
  • Page 639 To set the receiving unit, see 1. Press ~ on the sending unit to display the 2. Confirm that Waiting... indicates it is set to receive. TI-83 Plus Communication Link Receiving Items is displayed on the receiving unit, which menu. TRANSMIT...
  • Page 640 Press } and † to scroll through the names. Stopping a Transmission To stop a link transmission, press É. The on both units. To leave the error menu, select TI-83 Plus Communication Link . The name and type of each item are 1:Transmit Error in Xmit...
  • Page 641 Sending to a TI-83 Plus Silver Edition or TI-83 Plus You can transfer variables (all types), programs, and Flash applications to another TI-83 Plus Silver Edition the RAM memory of one unit to another. Note: Keep in mind that the TI.83 Plus has less Flash memory than the TI-83 Plus Silver Edition.
  • Page 642 Note: The item(s) you want to send are pre-selected from the last transmission. Do not select or deselect any items. If you select or deselect TI-83 Plus Communication Link TI-83 Plus Silver Edition TRANSMIT or a TI-83 Plus: menu. menu.
  • Page 643 (such as UnArchive Asm( AsmComp If archived variables on the used on the TI-83, you can send these variables to the TI-83. They will be automatically sent to the RAM of the TI-83 during the transfer process. TI-83 Plus Communication Link...
  • Page 644 Note: You cannot perform a RAM memory backup from a or from a TI-83 to a TI-83 To send data to a TI-83: 1. Use a unit-to-unit cable to link the two units together. 2. Set the TI-83 to receive.
  • Page 645 Note: You cannot perform a memory backup from a TI-83 Plus to a TI-82 or from a TI-82 to a TI-83 Plus. To send lists to a TI-82: 1. Use a unit-to-unit cable to link the two units together. 2. Set the TI-82 to receive.
  • Page 646 4. Select items you want to send. 5. Press ~ on the sending 6. Confirm that the receiving unit is set to receive. 7. Press Í on the sending transmitting. TI-83 Plus Communication Link TI-83 Plus. on the sending TI-83 Plus...
  • Page 647: Receiving Items

    The receiving unit then 1:Receive displays a list of items received. Press y 5 to exit the receive mode. DuplicateName Menu During transmission, if a variable name is duplicated, the DuplicateName menu is displayed on the receiving unit. TI-83 Plus Communication Link...
  • Page 648 When you select 4:Quit receive mode. Receiving from a TI-83 Plus Silver Edition or TI-83 Plus TI-83 Plus Silver Edition Keep in mind, however, that the TI-83 Plus has less Flash memory than TI-83 Plus Silver Edition. TI-83 Plus Communication Link...
  • Page 649 Receiving from a TI-83 You can transfer all variables and programs from a TI-83 to a if they fit in the RAM of the slightly less than the RAM of the TI-83. Receiving from a TI-82 — Resolved Differences Generally, you can transmit items to a differences between the two products may affect some transmitted data.
  • Page 650 Note: You can transfer all real variables, pics, and programs from a TI-82 to a if they fit in the RAM of the TI-83 Plus slightly less than the RAM of the TI-82. Receiving from a TI-82 — Unresolved Differences...
  • Page 651 For example, on the TI-82, the character group cursor location when you press y [ directly translate menu is displayed. ERR:INVALID Note: TI-83 Plus implied multiplication rules differ from those of the TI-82. For example, the TI-83 Plus evaluates 1à2X...
  • Page 652 5. Press ~ on the sending TI-73 to display the menu. LINK TRANSMIT 6. Confirm that the receiving unit is set to receive. 7. Press Í on the sending TI-73 to select and begin 1:Transmit transmitting. TI-83 Plus Communication Link...
  • Page 653: Backing Up Ram Memory

    You can backup the contents of RAM memory and mode settings (no Flash applications or archived items) to another You can also backup RAM memory and mode settings to a TI-83 Plus. To perform a RAM memory backup: 1. Use a unit-to-unit cable to link two TI-83 Plus Silver Edition 2.
  • Page 654 Note: If a transmission error is returned during a backup, the receiving unit is reset. Memory Backup Complete When the backup is complete, both the sending calculator and receiving calculator display a confirmation screen. TI-83 Plus Communication Link WARNING — Backup message...
  • Page 655 A cable is not attached to the receiving unit. Note: If the cable is attached, push it in firmly and try again. The receiving unit is not set to receive transmission. You attempt a backup between a TI-73, a TI-82, or a TI-83 and a TI-83 Plus.
  • Page 656 To cancel the transmission and exit receive mode, select TI-83 Plus Communication Link TI-83 Plus with a calculator instead of a CBL 2/CBL or CBR. with a TI-83 instead of a or TI-83 Plus. menu is displayed on the Memory Full to a TI-73 with data...
  • Page 657: Table Of Functions And Instructions

    Some keystrokes display menus that are available only in the program editor. Others paste mode, format, or table-set instructions only when you are in the program editor. TI-83 Plus Tables and Reference Information...
  • Page 658 Archive assemblyprgmname Asm( AsmComp( prgmASM1, prgmASM2 AsmPrgm TI-83 Plus Tables and Reference Information Result Returns the absolute value of a real number, expression, list, or matrix. Returns the magnitude of a complex number or list. valueA Returns 1 if both are ƒ...
  • Page 659 AxesOff AxesOn npmt roundvalue bal( numtria binomcdf( numtrials binompdf( TI-83 Plus Tables and Reference Information Result Returns a matrix, which is matrixA appended to columns. Returns a list, which is concatenated to the end of Turns off the graph axes.
  • Page 660 .Test( observedmatrix expectedmatrix drawflag radius Circle( Clear Entries ClrAllLists ClrDraw ClrHome TI-83 Plus Tables and Reference Information Result Computes the c distribution lowerbound probability between upperbound for the specified degrees of freedom Computes the probability density function (pdf) for the c...
  • Page 661 CubicReg [ Xlistname Ylistname freqlist regequ TI-83 Plus Tables and Reference Information Result Sets to 0 the dimension of one or listnames more Clears all values from the table. Returns the complex conjugate of a complex number or list of complex numbers.
  • Page 662 4Dec Degree variable DelVar DependAsk DependAuto det( matrix TI-83 Plus Tables and Reference Information Result Returns a list of the cumulative sums list of the elements in , starting with the first element. Returns a matrix of the cumulative...
  • Page 663 Disp valueA valueB Disp [ valueC value n ,..., DispGraph TI-83 Plus Tables and Reference Information Result Sets diagnostics-off mode; r, r are not displayed as regression model results. Sets diagnostics-on mode; r, r are displayed as regression model results.
  • Page 664 Exponent: value exponent Exponent: list exponent Exponent: matrix exponent TI-83 Plus Tables and Reference Information Result Displays the table. value Displays in DMS format. Sets dot plotting mode; resets all editor graph-style settings to í . expression Draws (in terms of X) on the graph.
  • Page 665 ExprOff ExprOn Ücdf( lowerbound upperbound numerator df denominator df TI-83 Plus Tables and Reference Information Result Computes the effective interest rate. Identifies end of For(, If-Then-Else, Repeat, or While loop. Sets engineering display mode. Converts the contents of a...
  • Page 666 FnOff [ function# function n ,..., TI-83 Plus Tables and Reference Information Result value Stores to each element in matrixname value Stores to each element in listname Sets fixed-decimal mode for # of decimal places.
  • Page 667 :End commands value fPart( Üpdf( numerator df denominator df value 4Frac Full Func GarbageCollect TI-83 Plus Tables and Reference Information Result Selects all functions or specified functions. commands Executes variable incrementing increment variable until Returns the fractional part or parts of a real or complex number, expression, list, or matrix.
  • Page 668 Get( variable GetCalc( getKey Goto label function# GraphStyle( graphstyle# TI-83 Plus Tables and Reference Information Result Returns the greatest common divisor valueA valueB , which can be real numbers or lists. Computes a cumulative probability at , the number of the trial on which...
  • Page 669 :Then commands :End commands TI-83 Plus Tables and Reference Information Result Turns off grid format. Turns on grid format. Sets graph-table vertical split-screen mode. Sets horizontal split-screen mode. Draws a horizontal line at Returns the identity matrix of...
  • Page 670 Input [ text variable Input [" ", variable Input [Str string substring inString( start TI-83 Plus Tables and Reference Information Result commands Executes from Then to condition Else if = 1 (true); from Else condition to End if = 0 (false).
  • Page 671 Ù listname LabelOff LabelOn TI-83 Plus Tables and Reference Information Result Returns the largest integer  a real or complex number, expression, list, or matrix. Computes the sum, rounded to roundvalue , of the interest amount...
  • Page 672 Ylistname freqlist regequ Xlistname LinRegTTest [ Ylistname freqlist alternative regequ @List( list TI-83 Plus Tables and Reference Information Result label Creates a of one or two characters. Returns the least common multiple of valueA valueB , which can be real numbers or lists.
  • Page 673 Matr 4 list( matrix column# listname valueA valueB max( max( list TI-83 Plus Tables and Reference Information Result matrixname Fills column by column with the elements from each specified listname Returns the natural logarithm of a real or complex number, expression, or list.
  • Page 674 TI-83 Plus Tables and Reference Information Result Returns a real or complex list of the larger of each pair of elements in listB Returns a real or complex list of the value...
  • Page 675 [,H]) 4Nom( effective rate compounding periods Normal normalcdf( lowerbound upperbound [,m,s]) TI-83 Plus Tables and Reference Information Result Returns a real or complex list of the value smaller of or each Returns the number of combinations valueA valueB taken...
  • Page 676 CFList CFFreq valueA valueB column Output( text " ") TI-83 Plus Tables and Reference Information Result Computes the probability density function for the normal distribution at a specified value for the specified value is ƒ 0. Returns 0 if be a real number, expression, or list.
  • Page 677 Plot Ylistname mark type Xlistname Plot freqlist type Xlistname Plot freqlist mark TI-83 Plus Tables and Reference Information Result value Displays beginning at specified column Sets parametric graphing mode. Suspends program execution until you press Í. value Displays ; suspends program execution until you press Í.
  • Page 678 PlotsOff [1,2,3] PlotsOn [1,2,3] Pmt_Bgn Pmt_End poissoncdf(m, poissonpdf(m, Polar complex value 4Polar TI-83 Plus Tables and Reference Information Result Defines Plot (1, 2, or 3) of datalistname NormProbPlot for data axis mark data axis using be X or Y.
  • Page 679 ,..., 1.PropZInt( confidence level 2.PropZInt( confidence level 1.PropZTest( alternative drawflag TI-83 Plus Tables and Reference Information Result Sets polar graphing coordinates format. Executes the program Computes the sum, rounded to roundvalue , of the principal amount pmt1...
  • Page 680 Pt.On( PwrReg [ Xlistname Ylistname freqlist regequ Pxl.Change( column column Pxl.Off( column Pxl.On( TI-83 Plus Tables and Reference Information Result Computes a two-proportion alternative alternative =L1 is <; ƒ; alternative =1 is >. drawflag draws results; results. Reverses a point at (...
  • Page 681 Ylistname freqlist regequ Radian numtrials rand[( numtrials prob randBin( numsimulations TI-83 Plus Tables and Reference Information Result column Returns 1 if pixel ( 0 if it is off; 0   62 and 0  column  94. Returns X, given polar coordinates and q or a list of polar coordinates.
  • Page 682 Real value real( RecallGDB RecallPic complex value 4Rect TI-83 Plus Tables and Reference Information Result Generates and displays a random integer within a range specified by lower upper integer bounds for a specified number of trials Returns a random matrix of columns 99) ×...
  • Page 683 ärow+( value matrix rowA rowB matrix rowA rowSwap( rowB TI-83 Plus Tables and Reference Information Result Sets rectangular graphing coordinates format. Returns the row-echelon form of a matrix commands Executes is true. Returns to the calling program. Returns a number, expression, list,...
  • Page 684 (Data list input) 2.SampTInt confidence level pooled (Summary stats input) TI-83 Plus Tables and Reference Information Result Returns the reduced row-echelon matrix form of a Returns R, given rectangular coordinates rectangular coordinates. Returns q, given rectangular coordinates rectangular coordinates.
  • Page 685 2.SampZInt( confidence level (Summary stats input) 2.SampZTest( listname1 listname2 freqlist1 freqlist2 alternative drawflag (Data list input) TI-83 Plus Tables and Reference Information Result Computes a two-sample alternative =L1 is <; ƒ; alternative =1 is >. pooled variances; =0 does not pool drawflag variances.
  • Page 686 Xlistname Select( Ylistname variable Send( seq( expression variable begin increment Sequential SetUpEditor TI-83 Plus Tables and Reference Information Result Computes a two-sample alternative =L1 is <; ƒ; alternative =1 is >. drawflag draws results; results. Sets scientific notation display mode.
  • Page 687 ShadeNorm( upperbound [,m,s]) lowerbound Shade_t( upperbound TI-83 Plus Tables and Reference Information Result Removes all list names from the stat list editor, then sets it up to display listnames one or more specified order, starting with column...
  • Page 688 SortA( dependlist1 dependlist2 ..., dependlist n listname SortD( TI-83 Plus Tables and Reference Information Result Sets mode to graph functions simultaneously. Returns the sine of a real number, expression, or list. Returns the arcsine of a real number, expression, or list.
  • Page 689 TI-83 Plus Tables and Reference Information Result keylistname Sorts elements of descending order, then sorts each dependlist as a dependent list. Returns the standard deviation of the list elements in...
  • Page 690 (Data list input) TInterval confidence level (Summary stats input) tpdf( TI-83 Plus Tables and Reference Information Result ) Draws a line tangent to value Returns hyperbolic tangent of a real number, expression, or list. Returns the hyperbolic arctangent of a real number, expression, or list.
  • Page 691 (Summary stats input) æ tvm_FV[( Ú , tvm_æ[( Ú , æ tvm_Ú[( æ tvm_Pmt[( Ú , æ tvm_PV[( Ú , TI-83 Plus Tables and Reference Information Result Displays the graph and enters mode. TRACE Performs a test with frequency freqlist alternative =L1 is <;...
  • Page 692 Vertical vwAxes condition :While commands :End command TI-83 Plus Tables and Reference Information Result Moves the specified variables from the user data archive memory to RAM. To archive variables, use Sets sequence graphs to plot u( n ) on the x-axis and v( n ) on the y-axis.
  • Page 693 (Data list input) ZInterval confidence level (Summary stats input) Zoom In Zoom Out TI-83 Plus Tables and Reference Information Result valueA Returns 1 if only valueA valueB numbers, expressions, or lists. Displays a graph, lets you draw a box that defines a new viewing window, and updates the window.
  • Page 694 Arguments ZoomFit ZoomRcl ZoomStat ZoomSto ZPrevious ZSquare ZStandard TI-83 Plus Tables and Reference Information Result Recalculates Ymin and Ymax to include the minimum and maximum Y values, between Xmin and Xmax, of the selected functions and replots the functions. Graphs the selected functions in a user-defined viewing window.
  • Page 695 (Summary stats input) ZTrig value Factorial: list Factorial: Degrees notation: value ¡ Radian: angle TI-83 Plus Tables and Reference Information Result Performs a test with frequency freqlist alternative =L1 is <; alternative =0 is ƒ; alternative drawflag =1 draws results;...
  • Page 696 ‡ listB value Cube: ‡( value Cube root: valueA valueB Equal: TI-83 Plus Tables and Reference Information Result Returns a matrix in which each element (row, column) is swapped with the corresponding element matrix (column, row) of root value Returns...
  • Page 697 Greater than or equal: valueA ‚ valueB value Inverse: Inverse: list matrix Inverse: value Square: TI-83 Plus Tables and Reference Information Result valueA ƒ valueB Returns 1 if valueA valueB Returns 0 if valueB can be real or complex numbers, expressions, lists, or matrices.
  • Page 698 Multiplication: ä valueA valueB Multiplication: value ä list Multiplication: list ä value TI-83 Plus Tables and Reference Information Result list Returns elements squared. matrix Returns multiplied by itself. value power Returns raised to can be a real or complex number or expression.
  • Page 699 Addition: listA listB Addition: Addition: matrixA matrixB Concatenation: string1 string2 Subtraction: valueA valueB Subtraction: value list TI-83 Plus Tables and Reference Information Result listA Returns elements times elements. Returns value times matrix elements. matrixA matrixB Returns times valueA Returns divided by...
  • Page 700 Subtraction: listA listB Subtraction: matrixA matrixB Minutes notation: degrees ¡ minutes seconds Seconds notation: degrees ¡ minutes seconds TI-83 Plus Tables and Reference Information Result value Subtracts from Subtracts listB elements from elements. matrixB Subtracts elements from matrixA elements. minutes...
  • Page 701 TI-83 Plus Menu Map TI-83 Plus Menu Map begins at the top-left corner of the keyboard and follows the keyboard layout from left to right. Default values and settings are shown. ÚÁÄÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ (Func mode) (Par mode) Plot1 Plot2 Plot1 Plot2...
  • Page 702 Xres=1 Ymin=-10 Ymax=10 Yscl=1 ÚÄÄÄÙ TABLE SETUP (PRGM editor) TblStart=0 TABLE SETUP @Tbl=1 Indpnt:Auto Ask Indpnt:Auto Ask Depend:Auto Ask Depend:Auto Ask TI-83 Plus Tables and Reference Information (Pol mode) WINDOW qmin=0 qmax=pä2 qstep=pà24 Xmin=-10 Xmax=10 Xscl=1 Ymin=-10 Ymax=10 Yscl=1 ÚÄÄÄÄÙ...
  • Page 703 9:ZoomStat 0:ZoomFit ÚÁÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ (Func/Par/Pol modes) RectGC PolarGC CoordOn CoordOff GridOff GridOn AxesOn AxesOff LabelOff LabelOn ExprOn ExprOff TI-83 Plus Tables and Reference Information MEMORY (Set Factors...) ZOOM FACTORS XFact=4 YFact=4 (Seq mode) Time Web uv vw uw RectGC PolarGC CoordOn CoordOff...
  • Page 704 ÚÙ Normal Sci Eng Float 0123456789 Radian Degree Func Par Pol Seq Connected Dot Sequential Simul Real a+b × re^q × Full Horiz G-T TI-83 Plus Tables and Reference Information (Pol mode) (Seq mode) CALCULATE CALCULATE 1:value 1:value 2:dy/dx 3:dr/dq...
  • Page 705 ÚÄÁÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ SEND RECEIVE 1:All+… 1:Receive 2:AllN… 3:Prgm… 4:List… 5:Lists to TI82… 6:GDB… 7:Pic… 8:Matrix… 9:Real… 0:Complex… A:Y-Vars… B:String… C:Apps… D:AppVars… E:Group… F:SendId G:SendOS H:Back Up… TI-83 Plus Tables and Reference Information...
  • Page 706 1:1-Var Stats 2:SortA( 2:2-Var Stats 3:SortD( 3:Med-Med 4:ClrList 4:LinReg(ax+b) 5:SetUpEditor 5:QuadReg 6:CubicReg 7:QuartReg 8:LinReg(a+bx) 9:LnReg 0:ExpReg A:PwrReg B:Logistic C:SinReg TI-83 Plus Tables and Reference Information TESTS 1:Z-Test… 2:T-Test… 3:2-SampZTest… 4:2-SampTTest… 5:1-PropZTest… 6:2-PropZTest… 7:ZInterval… 8:TInterval… 9:2-SampZInt… 0:2-SampTInt… A:1-PropZInt… B:2-PropZInt… -Test… D:2-SampÛTest…...
  • Page 707 1:abs( 2:4Dec 2:round( 3:iPart( ‡( 4:fPart( 5: x‡ 5:int( 6:fMin( 6:min( 7:fMax( 7:max( 8:nDeriv( 8:lcm( 9:fnInt( 9:gcd( 0:Solver… TI-83 Plus Tables and Reference Information MATH 1:min( 2:max( 3:mean( 4:median( 5:sum( 6:prod( 7:stdDev( 8:variance( 1:conj( 1:rand 2:real( 2:nPr 3:imag( 3:nCr 4:angle(...
  • Page 708 5:identity( 6:[F] 6:randM( 7:[G] 7:augment( 8:[H] 8:Matr4list( 9:[I] 9:List4matr( 0:[J] 0:cumSum( A:ref( B:rref( C:rowSwap( D:row+( E:…row( F:…row+( TI-83 Plus Tables and Reference Information ÚÄÄÄÙ EDIT ANGLE 1:[A] 1:¡ 2:[B] 3: r 3:[C] 4:[D] 4:4DMS 5:[E] 5:R4Pr( 6:[F] 6:R4Pq( 7:[G] 7:P4Rx(...
  • Page 709 2:Prompt 3:Else 3:Disp 4:For( 4:DispGraph 5:While 5:DispTable 6:Repeat 6:Output( 7:End 7:getKey 8:Pause 8:ClrHome 9:Lbl 9:ClrTable 0:Goto 0:GetCalc( A:IS>( A:Get( B:DS<( B:Send( C:Menu( D:prgm E:Return F:Stop G:DelVar H:GraphStyle( TI-83 Plus Tables and Reference Information 1:Create New (PRGM editor) EXEC 1:name 2:name...
  • Page 710 2:Pt-Off( 3:Horizontal 3:Pt-Change( 4:Vertical 4:Pxl-On( 5:Tangent( 5:Pxl-Off( 6:DrawF 6:Pxl-Change( 7:Shade( 7:pxl-Test( 8:DrawInv 9:Circle( 0:Text( A:Pen  ÚÁÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ VARS Y-VARS 1:Window… 1:Function… 2:Zoom… 2:Parametric… 3:GDB… 3:Polar… 4:Picture… 4:On/Off… 5:Statistics… 6:Table… 7:String… TI-83 Plus Tables and Reference Information 1:StorePic 2:RecallPic 3:StoreGDB 4:RecallGDB...
  • Page 711 ÄÄÂÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄ (Zoom…) (Zoom…) ZX/ZY ZT/Zq 1:ZXmin 1:ZTmin 2:ZXmax 2:ZTmax 3:ZXscl 3:ZTstep 4:ZYmin 4:Zqmin 5:ZYmax 5:Zqmax 6:ZYscl 6:Zqstep 7:ZXres TI-83 Plus Tables and Reference Information (Window…) U/V/W 1:u(nMin) 2:v(nMin) 3:w(nMin) 4:nMin 5:nMax 6:PlotStart 7:PlotStep (Zoom…) 1:Zu(nMin) 2:Zv(nMin) 3:Zw(nMin) 4:ZnMin 5:ZnMax 6:ZPlotStart...
  • Page 712 VARS ÄÂÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄ (GDB…) (Picture… GRAPH DATABASE 1:GDB1 PICTURE 2:GDB2 1:Pic1 2:Pic2 9:GDB9 0:GDB0 9:Pic9 0:Pic0 TI-83 Plus Tables and Reference Information...
  • Page 713 VARS ÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄ (Statistics…) (Statistics…) 1:Gx 2:Gx 3:Sx 3:Gy 4:sx 4:Gy 5:Gxy 6:Sy 7:sy 8:minX 9:maxX 0:minY A:maxY TI-83 Plus Tables and Reference Information (Statistics…) (Statistics…) TEST 1:RegEQ 5:Û 6:df 7:Ç 8:Ç1 9:Ç2 A:ü1 B:ü2 C:Sx1 D:Sx2 E:Sxp F:n1 G:n2 H:lower I:upper (Statistics…)
  • Page 714 VARS ÄÂÄÄÄÄÄÄÄÄÄÄÄ¿ (Table…) (String…) TABLE STRING 1:TblStart 1:Str1 2:Str2 3:TblInput 3:Str3 4:Str4 9:Str9 0:Str0 Y-VARS ÚÄÁÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄ¿ (Function…) (Parametric…) FUNCTION PARAMETRIC TI-83 Plus Tables and Reference Information (Polar…) (On/Off…) POLAR ON/OFF 1:FnOn 2:FnOff...
  • Page 715 ÚÄÄÁÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ DISTR DRAW 1:normalpdf( 1:ShadeNorm( 2:normalcdf( 2:Shade_t( 3:invNorm( 3:Shadec 4:tpdf( 4:ShadeÛ( 5:tcdf( pdf( cdf( 8:Ûpdf( 9:Ûcdf( 0:binompdf( A:binomcdf( B:poissonpdf( C:poissoncdf( D:geometpdf( E:geometcdf( TI-83 Plus Tables and Reference Information...
  • Page 716 CALC VARS 1:TVM 1:Ú Solver… 2:æ 2:tvm_Pmt 3:PV 3:tvm_æ 4:PMT 4:tvm_PV 5:FV 5:tvm_Ú 6:P/Y 6:tvm_FV 7:C/Y 7:npv( 8:irr( 9:bal( 0:GPrn( A:GInt( B:4Nom( C:4Eff( D:dbd( E:Pmt_End F:Pmt_Bgn TI-83 Plus Tables and Reference Information 2:CBL/CBR CBL/CBR ÚÄÄÄÙ 1:GAUGE 2:DATA LOGGER 3:CBR 4:QUIT...
  • Page 717 ÚÄÄÙ ÚÄÄÙ MEMORY (Mem Mgmt/Del…) 1:About RAM FREE 2:Mem Mgmt/Del… ARC FREE 131069 3:Clear Entries 1:All… 4:ClrAllLists 2:Real… 5:Archive 3:Complex… 6:UnArchive 4:List… 7:Reset… 5:Matrix… 8:Group 6:Y-Vars… 7:Prgm… 8:Pic… 9:GDB… 0:String… A:Apps… B:AppVars… C:Group… TI-83 Plus Tables and Reference Information 25631...
  • Page 718 RAM. ÚÄÄÄÄÄÄÄÄÄÁÄÄÄÄÄÄÄÄÄÄ¿ RESET RAM 1:No 2:Reset Resetting RAM erases all data and programs from RAM. TI-83 Plus Tables and Reference Information … ARCHIVE 1:Vars… 2:Apps… B:Both… Resetting Both erases all data, programs and Apps from Archive.
  • Page 719 Resetting ALL will delete all data, programs & Apps from RAM & Archive. MEMORY (GROUP...) ÚÄÄÁÄÄ¿ GROUP UNGROUP 1:Create New TI-83 Plus Tables and Reference Information RESET ARC APPS 1:No 2:Reset Resetting Apps erases all Apps from Archive. RESET ARC BOTH...
  • Page 720 MEMORY (UNGROUP...) ÚÄÄÙ name name ÚÄÄÙ CATALOG cosh( cosh Equ4String( expr( inString( length( sinh( sinh String4Equ( sub( tanh( tanh TI-83 Plus Tables and Reference Information...
  • Page 721 Variables User Variables TI-83 Plus uses the variables listed below in various ways. Some variables are restricted to specific data types. The variables A through Z and q are defined as real or complex can update X, Y, R, q, numbers.
  • Page 722 System Variables The variables below must be real numbers. You may store to them. Since the TI-83 Plus for example, you may want to avoid using these variables to store nongraphing data. Xmin, Xmax, Xscl, @X, XFact, Tstep, PlotStart, n Min, and other window variables.
  • Page 723 Sx, sx, minX, maxX, Gy, Gy , Gxy, a, b, c, RegEQ, x , y1, z, t, , Ç, v1, Sx1, n1, lower, upper, r F, c and other statistical variables. TI-83 Plus Tables and Reference Information...
  • Page 724: Statistics Formulas

    = the independent variable list y = the dependent variable list N = the dimension of the lists This technique attempts to estimate the constants a, b, and c recursively to make J as small as possible. TI-83 Plus Tables and Reference Information...
  • Page 725 N = the dimension of the lists This technique attempts to recursively estimate the constants a, b, c, and d to make J as small as possible. ANOVA( The ANOVA Û statistic is: Factor Û Error TI-83 Plus Tables and Reference Information...
  • Page 726 Error Error The sum of squares (SS) that make up the mean squares are: Factor Error The degrees of freedom df that make up the mean squares are: Factor Error TI-83 Plus Tables and Reference Information Û numerator denominato Û...
  • Page 727 Û = Û-statistic = -1, n -1) = Ûpdf( ) with degrees of freedom df, n df(x, n p = reported p value TI-83 Plus Tables and Reference Information degrees of freedom df, respectively. -1 and n -1, and n...
  • Page 728 [Lbnd,Ubnd] = lower and upper limits The Û-statistic is used as the bound producing the smallest integral. The remaining bound is selected to achieve the preceding integral’s equality relationship. TI-83 Plus Tables and Reference Information > s < s ƒ...
  • Page 729 The following is the definition for the 2.SampTTest. The two-sample t statistic with degrees of freedom df is: where the computation of S and df are dependent on whether the variances are pooled. If the variances are not pooled: TI-83 Plus Tables and Reference Information...
  • Page 730 Sxp is the pooled variance. TI-83 Plus Tables and Reference Information...
  • Page 731: Financial Formulas

    = C/Y x = (.01 C/Y = compounding periods per year P/Y = payment periods per year I% = interest rate per year where: PMT = 0 The iteration used to compute i: TI-83 Plus Tables and Reference Information...
  • Page 732 = i y = P/Y where: k = 0 for end-of-period payments k = 1 for beginning-of-period payments where: i ƒ 0 where: i = 0 TI-83 Plus Tables and Reference Information...
  • Page 733 ƒ 0 where: where: i = 0 i ƒ 0 where: where: i = 0 i ƒ 0 where: where: i = 0 TI-83 Plus Tables and Reference Information...
  • Page 734 Amortization If computing bal(), pmt2 = npmt Let bal(0) = RND(PV) Iterate from m = 1 to pmt2 then: TI-83 Plus Tables and Reference Information...
  • Page 735 Net present value is dependent on the values of the initial cash flow ), subsequent cash flows (CFj), frequency of each cash flow (nj), and the specified interest rate (i). irr() = 100 i, where i satisfies npv() = 0 TI-83 Plus Tables and Reference Information...
  • Page 736 CP = compounding periods Nom = nominal rate Days between Dates With the dbd( function, you can enter or compute a date within the range Jan. 1, 1950, through Dec. 31, 2049. TI-83 Plus Tables and Reference Information ln x...
  • Page 737 (days between dates) = Number of Days II - Number of Days I Number of Days I Number of Days II where: TI-83 Plus Tables and Reference Information = (Y1 - YB) + (number of days MB to M1)
  • Page 738: Battery Information

    Appendix B: General Information Battery Information When to Replace the Batteries TI-83 Plus uses five batteries: four AAA alkaline batteries and one lithium battery. The lithium battery provides auxiliary power to retain memory while you replace the AAA batteries. When the battery voltage level drops below a usable level, the Displays this message when you turn on the unit.
  • Page 739 Do not remove both types of batteries (AAA and lithium auxiliary) at the same time. Do not allow the batteries to lose power completely. If you follow these guidelines and the steps for replacing batteries, you can replace either type of battery without losing any information in memory. TI-83 Plus General Information...
  • Page 740 Turn the back of the calculator toward you. 2. Hold the calculator upright, push downward on the latch on the top of the battery cover with your finger, and then pull the cover toward you. TI-83 Plus General Information...
  • Page 741 + side up. Replace the cover and secure it with the screw. Use a CR1616 or CR1620 (or equivalent) lithium battery. 4. Replace the battery compartment cover. Turn the calculator on and adjust the display contrast, if necessary. TI-83 Plus General Information...
  • Page 742: In Case Of Difficulty

    4. If a checkerboard cursor ( # ) is displayed, then either you have entered the maximum number of characters in a prompt, or memory is full. If memory is full: TI-83 Plus General Information table for details about specific errors, if is waiting for input.
  • Page 743 Connect your calculator to a personal computer with the TI.GRAPH LINK™ new software code to your calculator. TI-83 Plus General Information to display the MEMORY MANAGEMENT DELETE accessory to download current or menu.
  • Page 744 Press ~ ~ to display the e. Select 1:All Memory f. To continue with the reset, select is displayed on the home screen. cleared TI-83 Plus General Information MEMORY to display the RAM ARCHIVE ALL menu. to display the...
  • Page 745 Error Conditions When the TI-83 Plus error menu. Chapter 1 describes the general steps for correcting errors. This table contains each error type, possible causes, and suggestions for correction. Error Type Possible Causes and Suggested Remedies You have attempted to use, edit, or delete an archived ARCHIVED variable.
  • Page 746 BOUND You pressed the É key to break execution of a program, BREAK to halt a expression. TI-83 Plus General Information In a operation, you specified a Guess that is not CALC between Left Bound and Right Bound.
  • Page 747 DIM MISMATCH references more than one list or matrix, but the dimensions do not match. DIVIDE BY 0 TI-83 Plus General Information For a function (including implied multiplication) or an instruction, you entered an argument that is an invalid data type, such as a complex number where a real number is required.
  • Page 748 Duplicate Name You have attempted to run an application with a limited EXPIRED trial period which has expired. TI-83 Plus General Information You specified an argument to a function or instruction outside the valid range. This error is not returned during graphing.
  • Page 749 This error occurs when the SendID command is executed ID NOT FOUND but the proper calculator ID cannot be found. ILLEGAL NEST INCREMENT TI-83 Plus General Information TI-83 Plus was unable to transmit an item. Check to see that the cable is firmly connected to both units and that the receiving unit is in receive mode.
  • Page 750 Error Type Possible Causes and Suggested Remedies INVALID TI-83 Plus General Information You attempted to reference a variable or use a function where it is not valid. For example, Yn cannot reference Y, Xmin, @X, or TblStart. You attempted to reference a variable or function that...
  • Page 751 ITERATIONS The label in the Goto instruction is not defined with a Lbl LABEL instruction in the program. TI-83 Plus General Information You specified dimensions for an argument that are not appropriate for the operation. You specified a list dimension as something other than an integer between 1 and 999.
  • Page 752 DrawInv in a graphing mode other than Func. TI-83 Plus General Information You are unable to transmit an item because the receiving unit’s available memory is insufficient. You may skip the item or exit receive mode.
  • Page 753 In Real mode, the result of a calculation yielded a complex NONREAL ANS result. This error is not returned during graphing. The TI-83 Plus You attempted to enter, or you have calculated, a number OVERFLOW that is beyond the range of the calculator. This error is not returned during graphing.
  • Page 754 Appendix A and the appropriate chapter. You requested a tolerance to which the algorithm cannot TOL NOT MET return an accurate result. TI-83 Plus General Information Statistical analyses must have at least two data points. Med.Med must have at least three points in each partition.
  • Page 755 Examples of variables that cannot be archived include: You have attempted to receive an incompatible variable VERSION version from another calculator. TI-83 Plus General Information Real numbers LRESID, R, T, X, Y, Theta, Statistic variables under Vars, STATISTICS menu, Yvars, and...
  • Page 756 Possible Causes and Suggested Remedies A problem exists with the window variables. WINDOW RANGE ZOOM TI-83 Plus General Information You defined Xmax  Xmin or Ymax  Ymin. You defined qmax  qmin and qstep > 0 (or vice versa).
  • Page 757: Accuracy Information

    Full split-screen mode, If you enter a value for screen mode, Xmax screen mode, Xmax TI-83 Plus General Information TI-83 Plus carries more digits internally than , and Tstep qstep Float causes...
  • Page 758 For most functions, at least five accurate digits exist. For on the menu and MATH specified. TI-83 Plus General Information is calculated as ( is calculated as ( is calculated as ( from the home screen or a program in...
  • Page 759: Function Limits

    (real mode) ‡x (complex mode) ‡x TI-83 Plus General Information Range of Input Values 0  | | < 10 (radian or degree) L1   1 L100 < < 10 ...
  • Page 760: Function Results

    Function Results Function TI-83 Plus General Information Range of Result L90¡ to 90¡ 0¡ to 180¡ or Lpà2 to pà2 (radians) or 0 to p (radians)
  • Page 761 Texas Instruments (TI) Support and Service For General Information Home Page: KnowledgeBase and E-mail Inquiries: Phone: International Information: For Technical Support KnowledgeBase and Support by E-mail: Phone (not toll-free): TI-83 Plus General Information education.ti.com education.ti.com/support (800) TI-CARES; (800) 842-2737 For U.S., Canada, Mexico, Puerto Rico, and Virgin Islands only education.ti.com/support...
  • Page 762 Customers in the U.S., Canada, Mexico, Puerto Rico and Virgin Always contact TI Customer Support before returning a Islands: product for service. All other customers: (hardware) or contact your local TI retailer/distributor. TI-83 Plus General Information Refer to the leaflet enclosed with this product...
  • Page 763: Warranty Information

    Customers in the U.S. and Canada Only One-Year Limited Warranty for Commercial Electronic Product This Texas Instruments (“TI”) electronic product warranty extends only to the original purchaser and user of the product. Warranty Duration. This TI electronic product is warranted to the original purchaser for a period of one (1) year from the original purchase date.
  • Page 764 (at TI’s option) when the product is returned, postage prepaid, to Texas Instruments Service Facility. The warranty of the repaired or replacement unit will continue for the warranty of the original unit or six (6) months, whichever is longer.
  • Page 765 Texas Instruments shall not be liable for loss of use of the product or other incidental or consequential costs, expenses, or damages incurred by the consumer or any other user.
  • Page 766 All Other Customers For information about the length and terms of the warranty, refer to your package and/or to the warranty statement enclosed with this product, or contact your local Texas Instruments retailer/distributor. TI-83 Plus General Information...
  • Page 767 (plot type, modified box), 370 Õ (plot type, normal probability), 372 Ô (subtraction), 63, 696 (user-created list name symbol), 309, ¨ ! Store, 29, 686 TI-83 Plus Index (square root), 64, 695 ‡( (pixel mark), 235, 373 ¦ › (inverse), 64, 271, 694 (chi-square test), 412, 657 .Test...
  • Page 768 410, 676 (one-proportion z test), 1.PropZTest 402, 676 (one-variable statistics), 1.Var Stats 357, 689 (power of ten), 65, 695 (square), 64, 694 TI-83 Plus Index (two-proportion z 2.PropZInt confidence interval), 411, 676 (two-proportion z test), 2.PropZTest 403, 677 (two-sample Û-Test), 414, 2.SampÛTest...
  • Page 769 , 27, 598 AppVars arccosine ( ), 63 , 30, 610, 655 Archive archive full error, 628, 742 garbage collection, 623 memory error, 623 TI-83 Plus Index archived variables, 719 arcsine ( ), 63 arctangent ( ), 63 , 537, 655 Asm(...
  • Page 770 ), 412, 657 .Test (draw circle), 228, 657 Circle( , 596, 657 Clear Entries clearing all lists ( ), 596, 657 ClrAllLists TI-83 Plus Index drawing ( ), 217, 657 ClrDraw entries ( ), 596, 657 Clear Entries home screen ( ClrHome...
  • Page 771 CoordOn correlation coefficient ( (arccosine), 63, 658 (cosine), 63, 658 cos( (hyperbolic arccosine), 496, 658 cosh (hyperbolic cosine), 496, 658 cosh( TI-83 Plus Index cosine ( cross pixel mark ( cube ( cube root ( cubic regression ( CubicReg cumSum(...
  • Page 772 12 (display table), 530, 661 DispTable (distributions menu), 424 DISTR (distributions drawing DISTR DRAW menu), 434 distribution functions TI-83 Plus Index ), 523, DelVar , 599 ), 354 distribution shading instructions division ( DMS (degrees/minutes/seconds entry dot graph style (...
  • Page 773 —E— e (constant), 65 (exponential), 65, 661 edit keys table, 17 , 514 Else , 476, 515, 662 (engineering notation mode), 20, TI-83 Plus Index ENTRY entry cursor, 12 EOS (Equation Operating System), 47 Equ4String( Vertical equal-to relational test ( Equation Operating System (EOS), 47 Pxl.On...
  • Page 774 315 polar rose, 166 roots of a function, 203 sending variables, 629 solving a system of linear equations, unit circle, 246 TI-83 Plus Index volume of a cylinder, 497 examples—miscellaneous calculating outstanding loan balances, 456 convergence, 195...
  • Page 775 722 time value of money, 728 two-sample Û-Test, 724 two-sample t test, 726 (fractional part), 80, 273, 664 fPart( free-moving cursor, 132 TI-83 Plus Index ), 448 ), 21, 663 ), 21, 663 Float frequency, 357 (full-screen mode), 25, 664...
  • Page 776 (get data from CBL 2/CBL or Get( CBR), 533, 665 (get data from TI.83), 533, GetCalc( , 531, 665 getKey TI-83 Plus Index Getting Started. See examples, Getting Started , 519, 665 Goto graph database ( ), 242 graph styles, 117...
  • Page 777 419 pooled option, 391 menu, 394 STAT TESTS test and interval output variables, , 526, 527, 667 Input insert cursor, 12 TI-83 Plus Index inString( instruction, definition of, 16 int( integer part ( integral. See numerical integral interest rate conversions...
  • Page 778 644 to a CBL 2/CBL or CBR, 633 to a PC or Macintosh, 633 to a TI 82, 641, 646 transmitting items, 629 TI.83 Plus units, 638 TI-83 Plus Index LinReg(a+bx) LinReg(ax+b) LinRegTTest LIST MATH LIST NAMES LIST OPS...
  • Page 779 267 defined, 258 deleting from memory, 261 dimensions, 259, 275, 276 displaying a matrix, 267 displaying matrix elements, 260 editing matrix elements, 262 TI-83 Plus Index indicator ( ), 265 inverse ( ), 271 math functions, 269 matrix math functions (...
  • Page 780 Float (screen), 25, 664 Full (graphing), 23, 664 Func (screen), 25, 666 (screen), 25, 666 Horiz TI-83 Plus Index modified box plot type ( multiple entries on a line, 14 multiplication ( ), 69, 663 multiplicative inverse, 64 fMin( ), 370...
  • Page 781 Overwrite , 619 Overwrite All —P— (polar-to-rectangular P4Rx( P4Ry( conversions), 100, 678 (number-of-payment-periods-per- year variable), 444, 463 TI-83 Plus Index panning, 136 Param 23, 674 parametric equations, 159 parametric graphing (calculate operations on a CALC graph), 165 defining and editing, 158, 159...
  • Page 782 173 graph format, 171 graph styles, 169 mode ( ), 23, 168, 675 Polar moving the cursor to a value, 174 TI-83 Plus Index selecting and deselecting, 169 tracing, 173 window variables, 170 editor, 168 operations, 174 ZOOM...
  • Page 783 , 238, 678 pxl.Test( —Q— (quadratic regression), 359, QuadReg (quartic regression), 360, 678 QuartReg Quick Zoom, 136 , 619, 645 Quit TI-83 Plus Index quitting CBL/CBR, 480 —R— (correlation coefficient), 354 (radian notation), 99, 692 (rectangular-to-polar R4Pr( R4Pq( conversions), 100, 681...
  • Page 784 148 , 80, 271, 680 round( , 680 row+( , 281, 680 rowSwap( (reduced-row-echelon form), 280, rref( TI-83 Plus Index —S— samples (# of), 475 plot type ( ), 369 " Scatter (scientific notation mode), 20, 683...
  • Page 785 248 split-screen modes from a program, tables from a program, 206 , 350, 683 SetUpEditor shade above ( ) graph style, 117 é TI-83 Plus Index shade below ( ShadeÛ( Shadec Shade( Shade_t( ShadeNorm( shading graph areas, 119, 226...
  • Page 786 342 view-elements context, 344 view-names context, 346 menu, 373 STAT PLOTS stat tests and confidence intervals ² (chi-square test), 412 .Test TI-83 Plus Index – , 333 STAT TESTS (one-proportion z 1.PropZInt confidence interval), 410 (one-proportion z test), 1.PropZTest...
  • Page 787 StoreGDB , 239, 686 StorePic storing graph databases ( graph pictures, 239 variable values, 29 (string-to-equation String4Equ( conversions), 493, 686 strings TI-83 Plus Index student-t distribution sub( subroutines, 522 subtraction ( sum( system variables, 719 T.Test TABLE SETUP tables s), 242...
  • Page 788 2 menu map, 698 , 632 TI Connect , 632, 633 TI.GRAPH LINK axes format, 187, 687 Time time value of money ( TI-83 Plus Index TInterval tpdf( TRACE variable (annual interest rate), æ variable (number of payment Ú...
  • Page 789 127 pixels, 237 points, 233 stat plots, 115, 375 (# payment periods), 450, 688 tvm_Ú (future value), 451, 688 tvm_FV TI-83 Plus Index tvm_I% tvm_Pmt tvm_PV two-proportion z confidence interval two-proportion z test ( two-sample Û-Test formula, 724 Plus, 648...
  • Page 790 , 44 Window , 44 Zoom (draw line), 221, 689 Vertical viewing window, 121 Volt, 468 Voltage, 468 Volt-Time, 468 TI-83 Plus Index sequence function, 179 warranty information, 760 web plots, 193 While window variables ), 314, 689 ‡ XFact...
  • Page 791 ZInterval interval), 405, 690 zoom, 138, 139, 140, 141, 142, 143, 144, 145, 146 cursor, 139 factors, 145 function graphing, 138 TI-83 Plus Index parametric graphing, 165 polar graphing, 174 sequence graphing, 191 (zoom in), 140, 690 Zoom In menu, 144...
  • Page 792: Quick-Find Locator

    Quick-Find Locator Chapter 1: Operating the TI-83 Plus Silver Edition... 1 Documentation Conventions...1 TI-83 Plus Keyboard ...2 Keyboard Zones...2 Using the Color.Coded Keyboard ...4 Using the y and ƒ Keys ...4 Turning On and Turning Off the TI-83 Plus ...6 Turning On the Calculator...6...
  • Page 793 Entering a Number in Scientific Notation ...14 Functions ...15 Instructions...16 Interrupting a Calculation ...16 TI-83 Plus Edit Keys ...17 Setting Modes ...19 Checking Mode Settings ...19 Changing Mode Settings...20 Setting a Mode from a Program...20 Normal, Sci, Eng ...20 Float, 0123456789 ...21 Radian, Degree...22...
  • Page 794 Menu ...45 Equation Operating System (EOS) ...47 Order of Evaluation ...47 Implied Multiplication...48 Parentheses...48 Negation...49 Special Features of the TI-83 Plus ...50 Flash – Electronic Upgradability ...50 1.56 Megabytes (M) of Available Memory ...50 Applications...51 Archiving ...51 TI-83 Plus Quick-Find Locator...
  • Page 795 Calculator-Based Laboratory™ (CBL 2™, CBL™) and Calculator-Based Ranger™ (CBR™)...52 Other TI-83 Plus Features ...53 Graphing ...53 Sequences ...53 Tables ...54 Split Screen...54 Matrices ...54 Lists...55 Statistics...55 Inferential Statistics...55 Applications...56 CATALOG...56 Programming ...57 Archiving ...57 Communication Link ...57 Error Conditions ...59 Diagnosing an Error ...59...
  • Page 796 Equations with Multiple Roots...77 Further Solutions...77 Controlling the Solution for Solver or solve(...78 Using solve( on the Home Screen or from a Program ...78 MATH NUM (Number) Operations...79 MATH NUM Menu...79 abs( ...79 round(...80 iPart(, fPart(...80 TI-83 Plus Quick-Find Locator...
  • Page 797 MATH CPX Menu ...88 conj( ...88 real(...89 imag( ...89 angle( ...90 abs( ...90 4Rect ...91 4Polar ...91 MATH PRB (Probability) Operations...92 MATH PRB Menu ...92 rand...92 nPr, nCr...93 ! (Factorial)...94 randInt(...95 randNorm(...95 randBin( ...96 ANGLE Operations ...97 TI-83 Plus Quick-Find Locator...
  • Page 798: Table Of Contents

    Using Boolean Operations ...104 Chapter 3: Function Graphing... 105 Getting Started: Graphing a Circle...105 Defining Graphs ...107 TI-83 Plus—Graphing Mode Similarities...107 Defining a Graph...107 Displaying and Exploring a Graph ...108 Saving a Graph for Later Use ...108 Setting the Graph Modes ...109 Checking and Changing the Graphing Mode...109...
  • Page 799 Shading Above and Below...119 Setting a Graph Style from a Program...120 Setting the Viewing Window Variables ...121 The TI-83 Plus Viewing Window ...121 Displaying the Window Variables...121 Changing a Window Variable Value ...122 Storing to a Window Variable from the Home Screen or a Program ...123...
  • Page 800 Panning to the Left or Right ...136 Quick Zoom...136 Leaving and Returning to TRACE...137 Using TRACE in a Program ...137 Exploring Graphs with the ZOOM Instructions...138 ZOOM Menu ...138 Zoom Cursor ...139 ZBox...139 Zoom In, Zoom Out...140 ZDecimal...141 ZSquare ...142 ZStandard ...142 TI-83 Plus Quick-Find Locator...
  • Page 801 ...151 dy/dx ...152 ‰ f(x)dx ...153 Chapter 4: Parametric Graphing ... 154 Getting Started: Path of a Ball ...154 Defining and Displaying Parametric Graphs ...158 TI-83 Plus Graphing Mode Similarities ...158 Setting Parametric Graphing Mode...158 TI-83 Plus Quick-Find Locator...
  • Page 802 CALC ...165 Chapter 5: Polar Graphing ... 166 Getting Started: Polar Rose ...166 Defining and Displaying Polar Graphs ...168 TI-83 Plus Graphing Mode Similarities ...168 Setting Polar Graphing Mode...168 Displaying the Polar Y= Editor ...168 Selecting Graph Styles ...169 Defining and Editing Polar Equations ...169 Selecting and Deselecting Polar Equations ...169...
  • Page 803 Defining and Displaying Sequence Graphs ...179 TI-83 Plus Graphing Mode Similarities ...179 Setting Sequence Graphing Mode...179 TI-83 Plus Sequence Functions u, v, and w ...179 Displaying the Sequence Y= Editor ...180 Selecting Graph Styles ...181 Selecting and Deselecting Sequence Functions...181 Defining and Editing a Sequence Function...182...
  • Page 804 Example: Convergence...195 Graphing Phase Plots ...197 Graphing with uv, vw, and uw ...197 Example: Predator-Prey Model...197 Comparing TI-83 Plus and TI-82 Sequence Variables ...201 Sequences and Window Variables ...201 Keystroke Differences Between TI-83 Plus and TI-82 ...202 Sequence Keystroke Changes ...202 Chapter 7: Tables...
  • Page 805: Table Of Contents

    Drawing Tangent Lines ...222 Drawing a Tangent Line Directly on a Graph...222 Drawing a Tangent Line from the Home Screen or a Program...223 Drawing Functions and Inverses ...224 Drawing a Function ...224 Drawing an Inverse of a Function ...224 TI-83 Plus Quick-Find Locator...
  • Page 806 Drawing Points Directly on a Graph with Pt.On(...233 Erasing Points with Pt Changing Points with Pt Drawing Points from the Home Screen or a Program...235 Drawing Pixels ...237 TI-83 Plus Pixels ...237 Turning On and Off Pixels with Pxl Using pxl Test( ...238 Split Screen...238 Storing Graph Pictures (Pic) ...239...
  • Page 807: Table Of Contents

    Moving from Half to Half in G.T Mode ...252 Using r in G.T Mode...253 Full Screens in G.T Mode...253 TI-83 Plus Pixels in Horiz and G.T Modes...254 TI-83 Plus Pixels in Horiz and G.T Modes...254 DRAW POINTS Menu Pixel Instructions ...254 DRAW Menu Text( Instruction ...254...
  • Page 808 Copying One Matrix to Another...267 Accessing a Matrix Element...268 Using Math Functions with Matrices ...269 Using Math Functions with Matrices ...269 + (Add), – (Subtract), ä (Multiply) ...269 L (Negation)...270 abs( ...271 round(...271 1 (Inverse)...271 TI-83 Plus Quick-Find Locator xvii...
  • Page 809 List4matr(...279 cumSum(...279 Row Operations ...280 ref(, rref( ...280 rowSwap( ...281 row+( ...281 ärow(...282 ärow+(...282 Chapter 11: Lists... 283 Getting Started: Generating a Sequence...283 Naming Lists ...286 Using TI-83 Plus List Names L1 through L6 ...286 TI-83 Plus Quick-Find Locator xviii...
  • Page 810 Using Lists with Math Functions ...298 LIST OPS Menu...299 LIST OPS Menu...299 SortA(, SortD( ...299 Using dim( to Find List Dimensions ...301 Using dim( to Create a List ...301 Using dim( to Redimension a List ...301 Fill( ...302 seq( ...302 cumSum(...303 TI-83 Plus Quick-Find Locator...
  • Page 811 Entering a List Name in the Stat List Editor ...330 Creating a Name in the Stat List Editor...332 Removing a List from the Stat List Editor...332 Removing All Lists and Restoring L1 through L6...333 Clearing All Elements from a List...333 Editing a List Element ...334 TI-83 Plus Quick-Find Locator...
  • Page 812 ClrList...349 SetUpEditor...350 Restoring L1 through L6 to the Stat List Editor ...351 Regression Model Features...352 Regression Model Features...352 Automatic Residual List ...352 Automatic Regression Equation...353 Diagnostics Display Mode...354 STAT CALC Menu ...356 STAT CALC Menu ...356 TI-83 Plus Quick-Find Locator...
  • Page 813 Entering Stat Data...367 Statistical Calculations ...367 Statistical Plotting...368 Steps for Plotting Statistical Data in Lists ...368 " (Scatter) ...369 Ó (xyLine) ...369 Ò (Histogram) ...370 Õ (ModBoxplot) ...370 Ö (Boxplot) ...371 Ô (NormProbPlot) ...372 TI-83 Plus Quick-Find Locator bx ) ...361 xxii...
  • Page 814 Selecting Calculate for a Confidence Interval ...392 Bypassing the Inferential Stat Editors ...393 STAT TESTS Menu ...394 STAT TESTS Menu ...394 Inferential Stat Editors for the STAT TESTS Instructions ...395 Z.Test ...396 T.Test ...397 2.SampZTest ...399 TI-83 Plus Quick-Find Locator xxiii...
  • Page 815 Inferential Statistics Input Descriptions ...419 Test and Interval Output Variables ...422 Distribution Functions ...424 DISTR menu ...424 normalpdf(...425 normalcdf( ...426 invNorm( ...426 tpdf(...427 tcdf( ...427 c 2 pdf(...428 c 2 cdf( ...429 Üpdf( ...429 Ücdf(...430 binompdf ...430 binomcdf( ...431 TI-83 Plus Quick-Find Locator xxiv...
  • Page 816: Table Of Contents

    Using the TVM Solver ...444 Using the Financial Functions...446 Entering Cash Inflows and Cash Outflows...446 FINANCE CALC Menu...446 TVM Solver ...447 Calculating Time Value of Money (TVM) ...448 Calculating Time Value of Money ...448 tvm_Pmt...449 tvm_æ...449 tvm_PV ...450 tvm_Ú...450 TI-83 Plus Quick-Find Locator...
  • Page 817 FINANCE VARS Menu ...462 Ú, æ, PV, PMT, FV ...462 P/Y and C/Y ...463 The CBL/CBR Application...464 Steps for Running the CBLàCBR Application ...464 Selecting the CBL/CBR Application ...466 Data Collection Methods and Options ...467 TI-83 Plus Quick-Find Locator xxvi...
  • Page 818 Starting Data Collection ...479 Collecting the Data...479 Stopping Data Collection ...480 Chapter 15: CATALOG, Strings, Hyperbolic Functions ... 481 Browsing the TI-83 Plus CATALOG...481 What Is the CATALOG?...481 Selecting an Item from the CATALOG...482 Entering and Using Strings ...484 What Is a String? ...484...
  • Page 819 Creating and Deleting Programs ...500 What Is a Program? ...500 Creating a New Program ...500 Managing Memory and Deleting a Program ...501 Entering Command Lines and Executing Programs ...504 TI-83 Plus Quick-Find Locator 1 (, tanh 1 ( ...496 xxviii...
  • Page 820 PRGM CTL (Control) Instructions ...511 PRGM CTL Menu ...511 Controlling Program Flow ...512 ...512 If.Then ...513 If.Then.Else ...514 For( ...515 While ...516 Repeat ...517 End...518 Pause...518 Lbl, Goto ...519 IS>( ...520 DS<(...521 Menu(...521 prgm...522 Return ...523 Stop...523 DelVar ...523 TI-83 Plus Quick-Find Locator xxix...
  • Page 821 Displaying the Home Screen ...528 Displaying Values and Messages ...529 DispGraph...530 DispTable...530 Output( ...530 getKey...531 TI-83 Plus Key Code Diagram ...532 ClrHome, ClrTable ...532 GetCalc(...533 Get(, Send( ...533 Calling Other Programs as Subroutines ...535 Calling a Program from Another Program...535 Notes about Calling Programs ...536...
  • Page 822 Setting up the Program ...570 Program ...570 Graphing Cobweb Attractors ...572 Problem...572 Procedure ...572 Using a Program to Guess the Coefficients...574 Setting Up the Program ...574 Program ...574 Graphing the Unit Circle and Trigonometric Curves ...576 TI-83 Plus Quick-Find Locator xxxi...
  • Page 823 Procedure ...592 Chapter 18: Memory and Variable Management... 596 Checking Available Memory ...596 MEMORY Menu...596 Displaying the MEMORY MANAGEMENT/DELETE Menu...597 Deleting Items from Memory...599 Deleting an Item...599 Clearing Entries and List Elements...601 Clear Entries ...601 TI-83 Plus Quick-Find Locator xxxii...
  • Page 824 ClrAllLists ...602 Resetting the TI-83 Plus ...603 RAM ARCHIVE ALL Menu...603 Displaying the RAM ARCHIVE ALL Menu ...604 Resetting RAM Memory...604 Resetting Archive Memory...606 Resetting All Memory...608 Archiving and UnArchiving Variables...610 Archiving and UnArchiving Variables...610 Grouping and Ungrouping Variables ...616 Grouping Variables ...616...
  • Page 825 Receiving Items ...644 LINK RECEIVE Menu ...644 Receiving Unit...644 DuplicateName Menu ...644 Receiving from a TI-83 Plus Silver Edition or TI-83 Plus ...645 Receiving from a TI-83...646 Receiving from a TI-82 — Resolved Differences...646 Receiving from a TI-82 — Unresolved Differences...647 Receiving from a TI-73...648...
  • Page 826 Appendix A: Tables and Reference Information... 654 Table of Functions and Instructions ...654 TI-83 Plus Menu Map ...698 Variables ...718 User Variables ...718 Archive Variables ...719 System Variables ...719 Statistics Formulas ...721 Logistic...721 SinReg ...722 ANOVA( ...722 2.SampÜTest...724 2.SampTTest ...726 Financial Formulas ...728...
  • Page 827: Table Of Contents

    Function Results ...757 Support and Service Information ...758 Product Support ...758 Product Service...759 Warranty Information ...760 Customers in the U.S. and Canada Only...760 Australia & New Zealand Customers only ...761 All Customers Outside the U.S. and Canada...763 TI-83 Plus Quick-Find Locator xxxvi...

This manual is also suitable for:

83pl/clm/1l1/v - 83 plus calcTi-83 plus silver edition

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