Page 1 TI-GRAPH LINK, Calculator-Based Laboratory, CBL, CBL 2, Calculator-Based Ranger, CBR, Constant Memory, Automatic Power Down, APD, and EOS are trademarks of Texas Instruments Incorporated. IBM is a registered trademark of International Business Machines Corporation. Macintosh is a registered trademark of Apple Computer, Inc.
Page 2 Important Texas Instruments makes no warranty, either expressed or implied, including but not limited to any implied warranties of merchantability and fitness for a particular purpose, regarding any programs or book materials and makes such materials available solely on an “as-is” basis. In no event shall Texas Instruments be liable to anyone for special, collateral, incidental, or consequential damages in connection with or arising out of the purchase or use of these materials, and the...
Page 3 Table of Contents This manual describes how to use the TI.83 Graphing Calculator. Getting Started is an overview of TI.83 features. Chapter 1 describes how the TI.83 operates. Other chapters describe various interactive features. Chapter 17 shows how to combine these features to solve problems.
Page 4: Table Of Contents
Chapter 2: Getting Started: Coin Flip Math, Angle, and Keyboard Math Operations Test Operations MATH Using the Equation Solver MATH NUM Entering and Using Complex Numbers MATH CPX MATH PRB ANGLE TEST TEST LOGIC Chapter 3: Getting Started: Graphing a Circle Function Defining Graphs Graphing...
Page 5 Selecting Axes Combinations Exploring Sequence Graphs Graphing Web Plots Using Web Plots to Illustrate Convergence Graphing Phase Plots Comparing TI-83 and TI.82 Sequence Variables Keystroke Differences Between TI-83 and TI-82 Chapter 7: Getting Started: Roots of a Function Tables Setting Up the Table...
Page 6 Chapter 10: Getting Started: Systems of Linear Equations Matrices Defining a Matrix Viewing and Editing Matrix Elements Using Matrices with Expressions Displaying and Copying Matrices Using Math Functions with Matrices Using the Chapter 11: Getting Started: Generating a Sequence Lists Naming Lists Storing and Displaying Lists Entering List Names...
Page 7 Calculating Time Value of Money ( Calculating Cash Flows Calculating Amortization Calculating Interest Conversion Finding Days between Dates/Defining Payment Method Using the Chapter 15: Browsing the TI-83 CATALOG, Entering and Using Strings Strings, Storing Strings to String Variables Hyperbolic String Functions and Instructions in the...
Page 8 Getting Started: Sending Variables Communication TI-83 Link Selecting Items to Send Receiving Items Transmitting Items Transmitting Lists to a TI-82 Transmitting from a TI-82 to a TI-83 Backing Up Memory Appendix A: Table of Functions and Instructions Tables and Menu Map Reference Variables...
Page 9 Getting Started: Do This First! Contents TI-83 Keyboard TI-83 Menus First Steps Entering a Calculation: The Quadratic Formula Converting to a Fraction: The Quadratic Formula Displaying Complex Results: The Quadratic Formula Defining a Function: Box with Lid Defining a Table of Values: Box with Lid...
Page 10: Ti-83 Keyboard
TI-83 Keyboard Generally, the keyboard is divided into these zones: graphing keys, editing keys, advanced function keys, and scientific calculator keys. Keyboard Zones Graphing keys access the interactive graphing features. Editing keys allow you to edit expressions and values. Advanced function keys display menus that access the advanced functions.
Page 11 Using the The keys on the TI.83 are color-coded to help you easily locate the key you need. Color-Coded Keyboard The gray keys are the number keys. The blue keys along the right side of the keyboard are the common math functions.
Page 12: Ti-83 Menus
TI-83 Menus Displaying a Menu While using your TI.83, you often will need to access items from its menus. When you press a key that displays a menu, that menu temporarily replaces the screen where you are working. For example, when you press , the...
Page 13: First Steps
First Steps Before starting the sample problems in this chapter, follow the steps on this page to reset the TI.83 to its factory settings and clear all memory. This ensures that the keystrokes in this chapter will produce the illustrated results.
Page 14: Entering A Calculation: The Quadratic Formula
Entering a Calculation: The Quadratic Formula Use the quadratic formula to solve the quadratic equations 3X N X + 3 = 0. Begin with the equation 3X and 2X ¿ ƒ [ 1. Press store the coefficient of the X 2.
Page 15: Converting To A Fraction: The Quadratic Formula
Converting to a Fraction: The Quadratic Formula You can show the solution as a fraction. 1. Press to display the 2. Press to select 1:4Frac menu. When you press Ans4Frac the home screen. contains the last calculated answer. 3. Press Í to convert the result to a fraction.
Page 16: Displaying Complex Results: The Quadratic Formula
Displaying Complex Results: The Quadratic Formula Now solve the equation 2X mode, the TI.83 displays complex results. 1. Press z † † † † † † (6 times), and then press ~ to position the cursor over i. Press Í to select number mode.
Page 17: Defining A Function: Box With Lid
Defining a Function: Box with Lid Take a 20 cm. × 25 cm. sheet of paper and cut X × X squares from two corners. Cut X × 12.5 cm. rectangles from the other two corners as shown in the diagram below.
Page 18: Defining A Table Of Values: Box With Lid
Defining a Table of Values: Box with Lid The table feature of the TI.83 displays numeric information about a function. You can use a table of values from the function defined on page 9 to estimate an answer to the problem.
Page 19: Zooming In On The Table: Box With Lid
Zooming In on the Table: Box with Lid You can adjust the way a table is displayed to get more information about a defined function. With smaller values for Í to set 1. Press TblStart Í to set @Tbl This adjusts the table setup to get a more accurate estimate of volume 2.
Page 20: Setting The Viewing Window: Box With Lid
Setting the Viewing Window: Box with Lid You also can use the graphing features of the TI.83 to find the maximum value of a previously defined function. When the graph is activated, the viewing window defines the displayed portion of the coordinate plane. The values of the window variables determine the size of the viewing window.
Page 21: Displaying And Tracing The Graph: Box With Lid
Displaying and Tracing the Graph: Box with Lid Now that you have defined the function to be graphed and the window in which to graph it, you can display and explore the graph. You can trace along a function using the TRACE 1.
Page 22 4. Press r. The trace cursor is displayed on the function. The function that you are tracing is displayed in the top-left corner. 5. Press | and ~ to trace along at a time, evaluating You also can enter your estimate for the maximum value of Ë...
Page 23: Zooming In On The Graph: Box With Lid
1. Press q to display the This menu is a typical TI.83 menu. To select an item, you can either press the number or letter next to the item, or you can press †...
Page 24: Finding The Calculated Maximum: Box With Lid
Finding the Calculated Maximum: Box with Lid You can use a CALCULATE function. 1. Press y [ ] (above r) to display CALC menu. Press CALCULATE 4:maximum The graph is displayed again with a prompt. Left Bound? 2. Press | to trace along the curve to a point to the left of the maximum, and then press Í.
Page 25: Other Ti.83 Features
Other TI-83 Features Getting Started has introduced you to basic TI.83 operation. This guidebook describes in detail the features you used in Getting Started. It also covers the other features and capabilities of the TI.83. Graphing You can store, graph, and analyze up to 10 functions...
Page 26 You can amortize loans with the amortization functions (Chapter 14). CATALOG functions and instructions on the TI.83. You can paste any function or instruction from the cursor location (Chapter 15). Programming You can enter and store programs that include extensive control and input/output instructions (Chapter 16).
Page 27 Operating the TI-83 Contents Turning On and Turning Off the TI.83 Setting the Display Contrast The Display Entering Expressions and Instructions TI.83 Edit Keys Setting Modes Using TI.83 Variable Names Storing Variable Values Recalling Variable Values ENTRY TI.83 Menus VARS Equation Operating System (EOSé)
Page 28: Turning On And Turning Off The
TI.83 will return exactly as you left it, including the display, cursor, and any error. To prolong the life of the batteries, APD turns off the TI.83 automatically after about five minutes without any activity.
Page 29: Setting The Display Contrast
Note: The TI.83 has 40 contrast settings, so each number represents four settings. The TI.83 retains the contrast setting in memory when it is turned off. To adjust the contrast, follow these steps.
Page 30: The Display
Displays display a horizontally or vertically split screen to show graphs and text simultaneously. The home screen is the primary screen of the TI.83. On Home Screen this screen, enter instructions to execute and expressions to evaluate. The answers are displayed on the same screen.
Page 31 An alpha character (green on the Ø keyboard) is entered or executed Checkerboard No entry; the maximum characters rectangle are entered at a prompt or memory is full ) If you press y during an insertion, the Operating the TI-83 1-5 SOLVE...
Page 32: Entering Expressions And Instructions
An expression is a group of numbers, variables, functions and their arguments, or a combination of these elements. Expression? An expression evaluates to a single answer. On the TI.83, you enter an expression in the same order as you would write it on paper. For example, pR You can use an expression on the home screen to calculate an answer.
Page 33 A function returns a value. For example, Functions are the functions in the example on page 1.6. In general, the first letter of each function is lowercase on the TI.83. Most functions take at least one argument, as indicated by an open parenthesis ( requires one argument, An instruction initiates an action.
Page 34: Ti.83 Edit Keys
(on an alpha key) paste alpha characters; to cancel alpha-lock, press ƒ; name prompts set alpha-lock automatically. „ Pastes an mode with one keystroke. 1-8 Operating the TI-83 ; inserts characters in front of the (Chapters 10 and 11); to cancel ƒ, press mode, a mode, a...
Page 35: Setting Modes
Mode settings control how the TI.83 displays and interprets numbers and graphs. Mode settings are retained Settings by the Constant Memory feature when the TI.83 is turned off. All numbers, including elements of matrices and lists, are displayed according to the current mode settings.
Page 36 However, the number can have one, two, or three digits before the decimal; and the power-of-10 exponent is a multiple of three, as in Note: If you select 10 digits (or the absolute value is less than .001), the TI.83 expresses the answer in scientific notation. Float, Float the sign and decimal.
Page 37 Radian, Degree Angle modes control how the TI.83 interprets angle values in trigonometric functions and polar/rectangular conversions. Radian display in radians. Degree display in degrees. Func, Par, Pol, Graphing modes define the graphing parameters. Chapters 3, 4, 5, and 6 describe these modes in detail.
Page 38 Note: Regardless of which graphing mode is selected, the TI.83 will sequentially graph all stat plots before it graphs any functions. Real, a+bi, re^qi Real complex numbers are entered as input.
Page 39: Using Ti.83 Variable Names
Using TI-83 Variable Names Variables and On the TI.83 you can enter and use several types of data, including real and complex numbers, matrices, lists, Defined Items functions, stat plots, graph databases, graph pictures, and strings. The TI.83 uses assigned names for variables and other items saved in memory.
Page 40: Storing Variable Values
4. Press Í. If you entered an expression, it is evaluated. The value is stored to the variable. Displaying a To display the value of a variable, enter the name on a blank line on the home screen, and then press Í. Variable Value 1-14 Operating the TI-83...
Page 41: Recalling Variable Values
VARS Y.VARS and then the name of the variable or function. Press |, and then select the name of the program (in the program editor only). Operating the TI-83 1-15 , press ‘. menu or ~ to VARS...
Page 42: Entry (Last Entry) Storage Area
Í, you can recall the previous entry even if you have begun to enter the next expression. Ã Í Accessing a The TI.83 retains as many previous entries as possible in Previous Entry ENTRY entries, press y [ more than 128 bytes, it is retained for be placed in the ¿...
Page 43 ], all the expressions and ENTRY , use trial and error to find the radius of a ƒ ] ƒ ¡ Í ENTRY ] Ë (Chapter 18) clears all data that the TI.83 is storage area. ENTRY ENTRY Operating the TI-83 1-17...
Page 44: Ans (Last Answer) Storage Area
Ans (Last Answer) Storage Area Using Ans in an When an expression is evaluated successfully from the home screen or from a program, the TI.83 stores the Expression answer to a storage area called be a real or complex number, a list, a matrix, or a string.
Page 45: Ti-83 Menus
TI-83 Menus Using a TI-83 You can access most TI.83 operations using menus. When you press a key or key combination to display a menu, one Menu or more menu names appear on the top line of the screen. The menu name on the left side of the top line is highlighted.
Page 46 Selecting an Item You can select an item from a menu in either of two ways. from a Menu After you select an item from a menu, the TI.83 typically displays the previous screen. Note: On the menus, only items you can select them by pressing the appropriate number key.
Page 47: Vars And Vars Y.vars Menus
Press to display the Press ~ to display the menu or from the 3:Polar 1:Window 2:Zoom menu, you can press ~ or | to display other VARS Operating the TI-83 1-21 menu VARS , and 2:Zoom 5:Statistics variables U/V/W , and...
Page 48: Equation Operating System (Eosé)
The Equation Operating System (EOSé) defines the order in which functions in expressions are entered and Evaluation evaluated on the TI.83. EOS lets you enter numbers and functions in a simple, straightforward sequence. EOS evaluates the functions in an expression in this order: Within a priority level, EOS evaluates functions from left to right.
Page 49 To enter a negative number, use the negation key. Press Ì Negation and then enter the number. On the TI.83, negation is in the third level in the EOS hierarchy. Functions in the first level, such as squaring, are evaluated before negation.
Page 50: Error Conditions
Error Evaluating an expression Executing an instruction Plotting a graph Storing a value When the TI.83 detects an error, it returns an error message as a menu title, such as ERR:DOMAIN possible reasons for the error. If you select the home screen is displayed.
Page 51 Math, Angle, and Test Operations Contents Getting Started: Coin Flip Keyboard Math Operations MATH Using the Equation Solver MATH NUM Entering and Using Complex Numbers MATH CPX MATH PRB ANGLE TEST TEST LOGIC Operations (Number) Operations (Complex) Operations (Probability) Operations Operations (Relational) Operations (Boolean) Operations...
Page 52: Getting Started: Coin Flip
Getting Started: Coin Flip Getting Started is a fast-paced introduction. Read the chapter for details. Suppose you want to model flipping a fair coin 10 times. You want to track how many of those 10 coin flips result in heads. You want to perform this simulation 40 times.
Page 53: Keyboard Math Operations
Keyboard Math Operations Using Lists with Math operations that are valid for lists return a list calculated element by element. If you use two lists in the Math Operations same expression, they must be the same length. + (Addition), You can use (multiplication, ¯), and N (Subtraction), ä...
Page 54 ]) is stored as a constant on the TI-83. ] to copy to the cursor location. In returns a negative number, ), which is displayed when you press ¹. ]) is stored as a constant in the TI-83. In (power of 10, y 10^( value raised to...
Page 55: Math Operations
MATH Operations MATH Menu To display the MATH NUM CPX PRB 1: 4Frac 2: 4Dec ‡( ‡ 6: fMin( 7: fMax( 8: nDeriv( 9: fnInt( 0: Solver... 4Frac, 4Frac 4Dec rational equivalent. You can use numbers, expressions, lists, and matrices. If the answer cannot be simplified or the resulting denominator is more than three digits, the decimal equivalent is returned.
Page 56 (cube) returns the cube of value. You can use (Cube), ‡( (Cube Root) or complex numbers, expressions, lists, and square matrices. value (cube root) returns the cube root of value. You can use ‡( ‡( with real or complex numbers, expressions, and lists. ‡( value ‡...
Page 57 (function integral) returns the numerical integral expression variable lower Math, Angle, and Test Operations 2-7 is valid only for real nDeriv( value[ , the TI-83 can return a is valid only for real fnInt( upper[ tolerance] fnInt( Xres window variable...
Page 58: Using The Equation Solver
Using the Equation Solver Solver Solver for any variable in an equation. The equation is assumed to be equal to zero. When you select The equation editor (see step 1 picture below) is displayed when the equation variable The interactive solver editor (see step 3 picture on page 2.9) is displayed when an equation is stored in Entering an To enter an expression in the equation solver, assuming...
Page 59 3. Press Í or †. The interactive solver editor is Tip: To use the solver to solve an equation such as eqn:0=KN.5MV When you enter or edit a value for a variable in the Entering and interactive solver editor, the new value is stored in Editing Variable Values memory to that variable.
Page 60 3. Enter an initial guess for the variable for which you are solving. This is optional, but it may help find the solution more quickly. Also, for equations with multiple roots, the TI-83 will attempt to display the solution that is closest to your guess. The default guess is calculated as 2-10 Math, Angle, and Test Operations , follow these steps.
Page 61 4. Edit lower upper bound={ bounds between which the TI-83 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 62 ƒ [ Controlling the The TI-83 solves equations through an iterative process. To Solution for control that process, enter bounds that are relatively close to the solution and enter an initial guess within those Solver or solve( bounds.
Page 63: Math Num (Number) Operations
MATH NUM (Number) Operations MATH NUM Menu To display the MATH NUM CPX PRB 1: abs( 2: round( 3: iPart( 4: fPart( 5: int( 6: min( 7: max( 8: lcm( 9: gcd( abs( abs( complex (modulus) numbers, expressions, lists, and matrices.
Page 64 iPart(, iPart( fPart( or complex numbers, expressions, lists, and matrices. value iPart( fPart( real or complex numbers, expressions, lists, and matrices. value fPart( (greatest integer) returns the largest integer real or int( int( complex numbers, expressions, lists, and matrices. int( value Note: For a given value , the result of...
Page 65 min(, min( valueB or the smallest element in list. If listA and listB are max( compared, elements. If list and value are compared, each element in list with value. max( valueB or the largest element in list. If listA and listB are compared, elements.
Page 66: Entering And Using Complex Numbers
To select a complex-number mode, press z, and then select either of the two modes. re^q On the TI-83, complex numbers can be stored to variables. Also, complex numbers are valid list elements. Real unless you entered a complex number as input. For...
Page 67 Interpreting Complex numbers in results, including list elements, are displayed in either rectangular or polar form, as specified Complex Results by the mode setting or by a display conversion instruction (page 2.19). In the example below, are set. Rectangular- Rectangular-complex mode recognizes and displays a complex number in the form Complex Mode component,...
Page 68: Math Cpx (Complex) Operations
MATH CPX (Complex) Operations To display the MATH CPX Menu MATH NUM CPX PRB 1: conj( 2: real( 3: imag( 4: angle( 5: abs( 6: 4Rect 7: 4Polar conj( conj( complex number or list of complex numbers. conj( conj( real( (real part) returns the real part of a complex number real( or list of complex numbers.
Page 69 angle( angle( of complex numbers, calculated as tan the imaginary part and a is the real part. The calculation is adjusted by +p in the second quadrant or Np in the third quadrant. angle( angle( abs( abs( (real2+imag2) , of a complex number or list of complex numbers.
Page 70: Math Prb (Probability) Operations
> 0 and < 5. With each random-number sequence for a given seed value. The TI-83 factory-set seed value for random-number sequence, store any nonzero seed value to . To restore the factory-set seed value, store rand or reset the defaults (Chapter 18).
Page 71 nPr, permutations of items taken number at a time. items and number must be nonnegative integers. Both items and number can be lists. items combinations of items taken number at a time. items and number must be nonnegative integers. Both items and number can be lists.
Page 72 randInt( randInt( integer within a range specified by lower and upper integer bounds. To generate a list of random numbers, specify an integer >1 for numtrials (number of trials); if not specified, the default is 1. randInt( randNorm( randNorm( random real number from a specified Normal distribution. Each generated value could be any real number, but most will be within the interval [mN3(s), m+3(s)].
Page 73: Angle Operations
‚ 0. degrees For example, enter for 30 degrees, 1 minute, 23 seconds. If the angle mode is not set to the TI-83 can interpret the argument as degrees, minutes, and seconds. Degree ¡ (Degree) (degree) designates an angle or list of angles as degrees, ¡...
Page 74 (radians) designates an angle or list of angles as radians, (Radians) regardless of the current angle mode setting. In mode, you can use value Degree 8DMS 8DMS format (page 2.23). The mode setting must be answer to be interpreted as degrees, minutes, and seconds. 8DMS answer R8Pr (,...
Page 75: Test (Relational) Operations
ƒ valueB valueA > ‚ valueB valueA < returns 2+2=2+3 returns 2+(2=2)+3 Math, Angle, and Test Operations 2-25 TEST valueB valueB valueB . The TI-83 performs . The TI-83 performs...
Page 76: Test Logic (Boolean) Operations
TEST LOGIC (Boolean) Operations TEST LOGIC To display the Menu This operator... TEST LOGIC 1: and 2: or 3: xor 4: not( Boolean operators are often used in programs to control Boolean program flow and in graphing to control the graph of the Operators function over specific values.
Page 77 Function Graphing Contents Getting Started: Graphing a Circle Defining Graphs Setting the Graph Modes Defining Functions Selecting and Deselecting Functions Setting Graph Styles for Functions Setting the Viewing Window Variables Setting the Graph Format Displaying Graphs Exploring Graphs with the Free-Moving Cursor Exploring Graphs with Exploring Graphs with the Using...
Page 78: Getting Started: Graphing A Circle
Í to enter the expression Y=‡(100NX which defines the top half of the circle. The expression Y=L‡(100NX bottom half of the circle. On the TI-83, you can define one function in terms of another. , press Ì to enter the To define negation sign.
Page 79: Defining Graphs
Defining Graphs TI-83—Graphing Chapter 3 specifically describes function graphing, but the steps shown here are similar for each TI-83 graphing Mode Similarities mode. Chapters 4, 5, and 6 describe aspects that are unique to parametric graphing, polar graphing, and sequence graphing.
Page 80: Setting The Graph Modes
To graph functions, you Changing the must select Graphing Mode window variables and before you enter the functions. The TI-83 has four graphing modes. Func Other mode settings affect graphing results. Chapter 1 describes each mode setting. Float displayed graph coordinates.
Page 81: Defining Functions
Defining Functions Displaying To display the functions to the function variables Functions in the You can graph one or more defined functions at once. In Y= Editor this example, functions Defining or To define or edit a function, follow these steps. Editing a 1.
Page 82 3. Press ~ 4. Select the function name, which pastes the name to the 5. Press Í to complete the instruction. When the instruction is executed, the TI-83 stores the expression to the designated variable function, and displays the message...
Page 83: Selecting And Deselecting Functions
Selecting and You can select and deselect (turn on and turn off) a function in the Deselecting a sign is highlighted. The TI-83 graphs only the selected Function functions. You can select any or all functions , and To select or deselect a function in the these steps.
Page 84 Selecting and To select or deselect a function from the home screen or a program, begin on a blank line and follow these steps. Deselecting Functions from 1. Press ~ to display the the Home Screen or a Program 2.
Page 85: Setting Graph Styles For Functions
Setting Graph Styles for Functions Graph Style This table describes the graph styles available for function graphing. Use the styles to visually differentiate functions Icons in the Y= to be graphed together. For example, you can set Editor solid line, Icon Style ç...
Page 86 When you select é or ê for two or more functions, the Shading Above TI-83 rotates through four shading patterns. and Below When shaded areas intersect, the patterns overlap. Note: When é or ê is selected for a Y= function that graphs a family of curves, such as each member of the family of curves.
Page 87: Setting The Viewing Window Variables
1. Press † or } to move the cursor to the window variable you want to change. 2. Edit the value, which can be an expression. 3. Press Í, †, or }. If you entered an expression, the TI-83 evaluates it. The new value is stored. Note: , and Xmin...
Page 88 5. Select the window variable to which you want to store a 6. Press Í to complete the instruction. When the instruction is executed, the TI-83 stores the value to the window variable and displays the value. @X and @Y...
Page 89: Setting The Graph Format
Setting the Graph Format To display the format settings, press y [ Displaying the default settings are highlighted below. Format Settings RectGC CoordOn GridOff AxesOn LabelOff ExprOn Format settings define a graph’s appearance on the display. Format settings apply to all graphing modes. mode has an additional mode setting (Chapter 6).
Page 90 CoordOn, CoordOn at the bottom of the graph. If CoordOff the function number is displayed in the top-right corner. CoordOff number or coordinates. Grid points cover the viewing window in rows that GridOff, GridOn correspond to the tick marks (page 3.11) on each axis. GridOff GridOn AxesOn, AxesOff...
Page 91: Displaying Graphs
If you performed any of these actions since the graph was last displayed, the TI-83 will replot the graph based on new values when you press s. Changed a mode setting that affects graphs...
Page 92 Overlaying On the TI-83, you can graph one or more new functions without replotting existing functions. For example, store Functions on a Graph sin(X) cos(X) graphed on top of If you enter a list (Chapter 11) as an element in an...
Page 93: Exploring Graphs With The Free-Moving Cursor
Exploring Graphs with the Free-Moving Cursor When a graph is displayed, press |, ~, }, or † to move Free-Moving the cursor around the graph. When you first display the Cursor graph, no cursor is visible. When you press |, ~, }, or †, the cursor moves from the center of the viewing window.
Page 94: Exploring Graphs With Trace
Exploring Graphs with TRACE Beginning a the next along a function. To begin a trace, press r. If Trace the graph is not displayed already, press r to display it. The trace cursor is on the first selected function in the editor, at the middle coordinates are displayed at the bottom of the screen if CoordOn...
Page 95 Moving the Trace To move the trace cursor to any valid current function, enter the value. When you enter the first Cursor to Any Valid X Value digit, an displayed in the bottom-left corner of the screen. You can enter an expression at the valid for the current viewing window.
Page 96: Exploring Graphs With The Zoom Instructions
Exploring Graphs with the ZOOM Instructions ZOOM Menu To display the viewing window of the graph quickly in several ways. All ZOOM ZOOM MEMORY 1: ZBox 2: Zoom In 3: Zoom Out 4: ZDecimal 5: ZSquare 6: ZStandard 7: ZTrig 8: ZInteger 9: ZoomStat 0: ZoomFit...
Page 97 2. Select 3. Move the zoom cursor to the point that is to be the 4. Press Í. The TI-83 adjusts the viewing window by 5. Zoom in on the graph again in either of two ways. To zoom out on a graph, select steps 3 through 5.
Page 98 ZStandard ZStandard window variables to the standard values shown below. Xmin=L10 Xmax=10 Xscl=1 ZTrig ZTrig window variables to preset values that are appropriate for plotting trig functions. Those preset values in are shown below. Xmin=L(47à24)p Xmax=(47à24)p Xscl=p/2 ZInteger ZInteger shown below. To use that you want to be the center of the new window, and then press Í;...
Page 99: Using Zoom Memory
Using ZOOM MEMORY ZOOM MEMORY To display the Menu ZOOM MEMORY 1:ZPrevious 2:ZoomSto 3:ZoomRcl 4:SetFactors... ZPrevious ZPrevious the graph that was displayed before you executed the last ZOOM ZoomSto ZoomSto The graph is displayed, and the values of the current window variables are stored in the user-defined variables ZXres...
Page 100 ZOOM FACTORS The zoom factors, (not necessarily integers) greater than or equal to 1. They define the magnification or reduction factor used to Checking XFact To display the review the current values for and YFact 4:SetFactors shown are the defaults. Changing XFact You can change and YFact...
Page 101: Using The Calc (Calculate) Operations
Using the CALC (Calculate) Operations CALCULATE To display the items on this menu to analyze the current graph functions. Menu CALCULATE 1: value 2: zero 3: minimum 4: maximum 5: intersect 6: dy/dx 7: ‰f(x)dx value value for a specified value of Note: When a value is displayed for When no value is displayed, press ‘...
Page 102 zero zero solve( value; The time depends on the accuracy of the values you specify for the left and right bounds and the accuracy of your guess. To find a zero of a function, follow these steps. 1. Select 2. Press } or † to move the cursor onto the function for 3.
Page 103 minimum, minimum function within a specified interval to a tolerance of 1âL5. maximum To find a minimum or maximum, follow these steps. 1. Select 2. Select the function and set left bound, right bound, and The cursor is on the solution, and the coordinates are displayed, even if you have selected Minimum corner.
Page 104 dy/dx dy/dx (slope) of a function at a point, with H=1âL3. To find a function’s slope at a point, follow these steps. 1. Select 2. Press } or † to select the function for which you want 3. Press | or ~ (or enter a value) to select the The cursor is on the solution and the numerical derivative is displayed.
Page 105 Parametric Graphing Contents Getting Started: Path of a Ball Defining and Displaying Parametric Graphs Exploring Parametric Graphs Parametric Graphing 4-1...
Page 106: Getting Started: Path Of A Ball
Getting Started: Path of a Ball Getting Started is a fast-paced introduction. Read the chapter for details. Graph the parametric equation that describes the path of a ball hit at an initial speed of 30 meters per second, at an initial angle of 25 degrees with the horizontal from ground level.
Page 107 The horizontal component vector is defined by 6. Press ~ , and then press Í to define define . Press 7. Press | | } Í to change the graph style to è for Í to change the graph style to ë for .
Page 108: Defining And Displaying Parametric Graphs
Defining and Displaying Parametric Graphs TI-83 Graphing The steps for defining a parametric graph are similar to the steps for defining a function graph. Chapter 4 assumes that Mode Similarities you are familiar with Chapter 3: Function Graphing. Chapter 4 details aspects of parametric graphing that differ from function graphing.
Page 109 Equations either of two ways. Two components, equation. You must define both of them. Selecting and The TI-83 graphs only the selected parametric equations. In the Deselecting Parametric signs of both the You may select any or all of the equations...
Page 110 Setting the Graph Format FORMAT The other graphing modes share these format settings; graphing mode has an additional axes format setting. When you press s, the TI-83 plots the selected Displaying a parametric equations. It evaluates the Graph for each value of Tstep window variables define the viewing window.
Page 111: Exploring Parametric Graphs
Exploring Parametric Graphs Free-Moving The free-moving cursor in Cursor Func RectGC displayed. PolarGC format is selected, TRACE To activate you can move the trace cursor along the graph of the equation one trace cursor is on the first selected function at ExprOn RectGC PolarGC...
Page 112 Moving the Trace To move the trace cursor to any valid current function, enter the number. When you enter the Cursor to Any Valid T Value first digit, a displayed in the bottom-left corner of the screen. You can enter an expression at the valid for the current viewing window.
Page 113 Polar Graphing Contents Getting Started: Polar Rose Defining and Displaying Polar Graphs Exploring Polar Graphs Polar Graphing 5-1...
Page 114: Getting Started: Polar Rose
Getting Started: Polar Rose Getting Started is a fast-paced introduction. Read the chapter for details. The polar equation R=Asin(Bq) graphs a rose. Graph the rose for A=8 and B=2.5, and then explore the appearance of the rose for other values of A and B. 1.
Page 115: Defining And Displaying Polar Graphs
Defining and Displaying Polar Graphs TI-83 Graphing The steps for defining a polar graph are similar to the steps for defining a function graph. Chapter 5 assumes that you Mode Similarities are familiar with Chapter 3: Function Graphing. Chapter 5 details aspects of polar graphing that differ from function graphing.
Page 116 The TI-83 graphs only the selected polar equations. In the Selecting and Deselecting Polar highlighted. You may select any or all of the equations.
Page 117 To display the current graph format settings, press y Setting the Graph Format FORMAT The other graphing modes share these format settings. When you press s, the TI-83 plots the selected polar Displaying a Graph equations. It evaluates qmax window variables define the viewing window.
Page 118: Exploring Polar Graphs
Exploring Polar Graphs Free-Moving The free-moving cursor in Cursor Func updates the values of selected, are displayed. TRACE To activate you can move the trace cursor along the graph of the equation one trace cursor is on the first selected function at ExprOn RectGC CoordOn...
Page 119 Defining and Displaying Sequence Graphs Selecting Axes Combinations Exploring Sequence Graphs Graphing Web Plots Using Web Plots to Illustrate Convergence Graphing Phase Plots Comparing TI-83 and TI.82 Sequence Variables Keystroke Differences Between TI-83 and TI-82 Sequence Graphing 6-1 6-11 6-12 6-13...
Page 120: Getting Started: Forest And Trees
Getting Started: Forest and Trees Getting Started is a fast-paced introduction. Read the chapter for details. A small forest of 4,000 trees is under a new forestry plan. Each year 20 percent of the trees will be harvested and 1,000 new trees will be planted. Will the forest eventually disappear? Will the forest size stabilize? If so, in how many years and with how many trees? 1.
Page 121: Defining And Displaying Sequence Graphs
Sequence graphs automatically plot in regardless of the current plotting-order mode setting. TI-83 Sequence The TI-83 has three sequence functions that you can enter Functions u, v, from the keyboard: and ® keys. and w...
Page 122 (Chapter 3). The default in Styles ç (line), and è (thick) styles are available for sequence graphing. Graph styles are ignored in Selecting and The TI-83 graphs only the selected sequence functions. In Deselecting Sequence signs of both Functions...
Page 123 Defining and To define or edit a sequence function, follow the steps in Chapter 3 for defining a function. The independent variable Editing a Sequence in a sequence is Function in either of two ways. You can enter the function name from the keyboard. Generally, sequences are either nonrecursive or recursive.
Page 124 For example, in the sequence below you cannot calculate u(5) Using an initial value returns Tip: On the TI-83, you must type each character of the terms. For example, to enter Recursive sequences require an initial value or values, since they reference undefined terms.
Page 125 To display the window variables, press p. These Setting Window variables define the viewing window. The values below are Variables defaults for modes. nMin=1 nMax=10 PlotStart=1 PlotStep=1 Xmin=L10 Xmax=10 Xscl=1 Ymin=L10 Ymax=10 Yscl=1 n Min must be integers ‚ 1. n Min displayed in the sequence value to evaluate.
Page 126: Selecting Axes Combinations
See page 6.13 for more information on phase plots To plot the selected sequence functions, press s. As a Displaying a graph is plotted, the TI-83 updates Sequence Graph Smart Graph applies to sequence graphs (Chapter 3). 6-8 Sequence Graphing ].
Page 127: Exploring Sequence Graphs
Exploring Sequence Graphs Free-Moving The free-moving cursor in Cursor Func updates the values of selected, are displayed. TRACE The axes format setting affects When moves the cursor along the sequence one increment at a time. To move five plotted points at once, press y ~ or y |.
Page 128 ZOOM ZOOM Func Ymin PlotStart you select items graphing. The only CALC To enter the sequence names Evaluating u, v, and w ]. You can evaluate these names in any of three ways. 6-10 Sequence Graphing operations in graphing work the same as in graphing.
Page 129: Graphing Web Plots
N1) It cannot reference It cannot reference any defined sequence except itself. Displaying the Graph Screen The TI-83: Draws a Plots the selected sequences with independent variable. Note: A potential convergence point occurs whenever a sequence intersects the y=x reference line. However, the sequence may or may not actually converge at that point, depending on the sequence’s initial...
Page 130: Using Web Plots To Illustrate Convergence
Using Web Plots to Illustrate Convergence 1. Press o in Example: Make sure the graph style is set to í (dot), and then Convergence define 2. Press y [ 3. Press p and set the variables as shown below. n Min=1 n Max=25 PlotStart=1 PlotStep=1...
Page 131: Graphing Phase Plots
Graphing Phase Plots Graphing with uv, The phase-plot axes settings relationships between two sequences. To select a vw, and uw phase-plot axes setting, press y [ the cursor is on Axes Setting Use the predator-prey model to determine the regional Example: populations of a predator and its prey that would maintain Predator-Prey...
Page 132 2. Press y [ 3. Press p and set the variables as shown below. n Min=0 n Max=400 PlotStart=1 PlotStep=1 4. Press s to graph the sequence. 5. Press r ~ to individually trace the number of rabbits ( Tip: Press a number, and then press Í to jump to a specific value (month) while in 6.
Page 133: Comparing Ti-83 And Ti.82 Sequence Variables
Comparing TI-83 and TI-82 Sequence Variables Sequences and Refer to the table if you are familiar with the TI-82. It shows TI-83 sequences and sequence window variables, as Window well as their TI-82 counterparts. Variables TI.83 In the u( n )
Page 134: Keystroke Differences Between Ti-83 And
Keystroke Differences Between TI-83 and TI-82 Sequence Refer to the table if you are familiar with the TI-82. It compares TI-83 sequence-name syntax and variable syntax Keystroke with TI.82 sequence-name syntax and variable syntax. Changes TI.83 / TI.82 n / n...
Page 135 Tables Contents Getting Started: Roots of a Function Setting Up the Table Defining the Dependent Variables Displaying the Table Tables 7-1...
Page 136: Getting Started: Roots Of A Function
Getting Started: Roots of a Function Getting Started is a fast-paced introduction. Read the chapter for details. Evaluate the function Y = X many sign changes occur, and at what 1. Press z † † † Í to set graphing mode. 2.
Page 137: Setting Up The Table
Setting Up the Table TABLE SETUP To display the Screen TblStart, @Tbl TblStart independent variable. independent variable is generated automatically (when Indpnt: Auto @Tbl variable. Note: In Indpnt: Auto, Selections Indpnt: Ask, Indpnt: Auto Depend: Auto, Depend: Auto Depend: Ask Indpnt: Ask Depend: Auto Indpnt: Auto...
Page 138: Defining The Dependent Variables
Defining the Dependent Variables Defining In the dependent variables. Only functions that are selected in the Dependent editor are displayed in the table. The current graphing Variables from mode is used. In the Y= Editor components of each parametric equation (Chapter 4). To edit a selected Editing Dependent...
Page 139: Displaying The Table
Displaying the Table To display the table, press y [ The Table Independent- variable values in the first column Note: The table abbreviates the values, if necessary. Independent and The current graphing mode determines which independent and dependent variables are displayed in the table Dependent (Chapter 1).
Page 140 Scrolling Indpnt: Auto independent-variable column to display more values. As Independent- Variable Values you scroll the column, the corresponding dependent- variable values also are displayed. All dependent-variable values may not be displayed if Note: You can scroll back from the value entered for scroll, line of the table.
Page 141 Draw Instructions Contents Getting Started: Drawing a Tangent Line Using the Clearing Drawings Drawing Line Segments Drawing Horizontal and Vertical Lines Drawing Tangent Lines Drawing Functions and Inverses Shading Areas on a Graph Drawing Circles Placing Text on a Graph Using Pen to Draw on a Graph Drawing Points on a Graph Drawing Pixels...
Page 142: Getting Started: Drawing A Tangent Line
Getting Started: Drawing a Tangent Line Getting Started is a fast-paced introduction. Read the chapter for details. Suppose you want to find the equation of the tangent line at X = ‡2/2 for the function Y = sinX. Before you begin, select mode from the mode screen, if necessary.
Page 143: Using The Draw Menu
DRAW menu instructions except DRAW , and Func graphing. The coordinates for all Func menu and DRAW menu instruction, the home screen is displayed. ]. The TI-83’s DRAW editor. editor. (page 8.4). ClrDraw DrawInv graphs. is valid DrawInv DRAW...
Page 144: Clearing Drawings
Clearing Drawings Clearing All points, lines, and shading drawn on a graph with instructions are temporary. Drawings When a Graph Is To clear drawings from the currently displayed graph, Displayed select is replotted and displayed with no drawn elements. Clearing To clear drawings on a graph from the home screen or a program, begin on a blank line on the home screen or in Drawings from...
Page 145: Drawing Line Segments
Drawing Line Segments Drawing a Line To draw a line segment when a graph is displayed, follow these steps. Segment Directly on a Graph 1. Select 2. Place the cursor on the point where you want the line segment to begin, and then press Í. 3.
Page 146: Drawing Horizontal And Vertical Lines
Drawing Horizontal and Vertical Lines Drawing a Line To draw a horizontal or vertical line when a graph is displayed, follow these steps. Directly on a Graph 1. Select line is displayed that moves as you move the cursor. 2. Place the cursor on the y-coordinate (for horizontal lines) or x-coordinate (for vertical lines) through which you want the drawn line to pass.
Page 147 Vertical an expression but not a list. Vertical To instruct the TI-83 to draw more than one horizontal or vertical line, separate each instruction with a colon ( (horizontal line) draws a horizontal line at (vertical line) draws a vertical line at =x.
Page 148: Drawing Tangent Lines
Drawing Tangent Lines Drawing To draw a tangent line when a graph is displayed, follow these steps. a Tangent Line Directly 1. Select on a Graph 2. Press † and } to move the cursor to the function for which you want to draw the tangent line. The current graph’s ExprOn 3.
Page 149: Drawing Functions And Inverses
Note: You cannot use a list in expression to draw a family of curves. (draw function) draws expression as a function in on the current graph. When you select menu, the TI-83 returns to the home screen DRAW is not interactive.
Page 150: Shading Areas On A Graph
Shading Areas on a Graph Shading a Graph To shade an area on a graph, select DRAW or to the program editor. Shade( the current graph and shades the area that is specifically above lowerfunc and below upperfunc. Only the areas where lowerfunc <...
Page 151: Drawing Circles
Drawing Circles Drawing a Circle To draw a circle directly on a displayed graph using the cursor, follow these steps. Directly on a Graph 1. Select 2. Place the cursor at the center of the circle you want to draw. Press Í. 3.
Page 152: Placing Text On A Graph
2. Place the cursor where you want the text to begin. 3. Enter the characters. Press ƒ or y [ enter letters and q. You may enter TI-83 functions, variables, and instructions. The font is proportional, so the exact number of characters you can place on the graph varies.
Page 153: Using Pen To Draw On A Graph
Using Pen to Draw on a Graph Using Pen to draws directly on a graph only. You cannot execute from the home screen or a program. Draw on a Graph To draw on a displayed graph, follow these steps. 1. Select 2.
Page 154: Drawing Points On A Graph
Drawing Points on a Graph DRAW POINTS To display the The TI-83’s interpretation of these instructions depends on Menu whether you accessed this menu from the home screen or the program editor or directly from a graph. DRAW 1: Pt-On(...
Page 155 Erasing Points To erase (turn off) a drawn point on a graph, follow these steps. with Pt-Off( 1. Select 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( To change (toggle on or off) a point on a graph, follow Changing Points...
Page 156: Drawing Pixels
Drawing Pixels TI-83 Pixels A pixel is a square dot on the TI-83 display. The 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 returns to the home screen or the program editor.
Page 157: Storing Graph Pictures (Pics)
Storing Graph Pictures (Pics) DRAW STO Menu To display the When you select an instruction from the the TI-83 returns to the home screen or the program editor. The picture and graph database instructions are not interactive. DRAW POINTS STO...
Page 158: Recalling Graph Pictures (Pics)
Deleting a Graph Picture MEMORY DELETE FROM 8-18 Instructions DRAW from the 2:RecallPic DRAW STO , or , the TI-83 will recall the picture Pic3 ). The variable is pasted next to menu (Chapter 18). menu. RecallPic ) of the picture PICTURE...
Page 159: Storing Graph Databases (Gdbs)
3:StoreGDB , the TI-83 will store the ). The variable is pasted next to variable. s in variables and recall them to recreate menu.
Page 160: Recalling Graph Databases (Gdbs)
, the TI-83 will recall the ). The variable is pasted next to . The new graph is not plotted. The TI-83 from memory, use the menu (Chapter 18). , it replaces all existing functions to menu.
Page 161 Split Screen Contents Getting Started: Exploring the Unit Circle Using Split Screen Horiz TI-83 Pixels in (Horizontal) Split Screen (Graph-Table) Split Screen Horiz Mode Split Screen 9-1...
Page 162: Getting Started: Exploring The Unit Circle
Getting Started: Exploring the Unit Circle Getting Started is a fast-paced introduction. Read the chapter for details. (graph-table) split-screen mode to explore the unit circle and its relationship to the numeric values for the commonly used trigonometric angles of 0 , 30 , 45 , 60 , 90 , and so on. 1.
Page 163: Using Split Screen
If you press y [ the half in which the table is displayed. The TI-83 will remain in split-screen mode until you change back to (horizontal) to display the graph screen and...
Page 164: Horiz (Horizontal) Split Screen
Horiz (Horizontal) Split Screen Horiz Mode Horiz splits the screen into top and bottom halves. The top half displays the graph. The bottom half displays any of these editors. Home screen (four lines) Stat list editor (two rows) Window editor (three settings) Table editor (two rows) To use the top half of the split screen: Moving from Half...
Page 165: G-T (Graph-Table) Split Screen
G-T (Graph-Table) Split Screen G-T Mode the screen into left and right halves. The left half displays the graph. The right half displays the table. Moving from Half To use the left half of the split screen: to Half in G-T Press s or r.
Page 166: Ti.83 Pixels In Horiz And G-T Modes
TI-83 Pixels in Horiz and G-T Modes TI-83 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 Pxl.On( Menu Pixel Instructions Pxl.On(...
Page 167 Contents Getting Started: Systems of Linear Equations Defining a Matrix Viewing and Editing Matrix Elements Using Matrices with Expressions Displaying and Copying Matrices Using Math Functions with Matrices Using the Matrices MATRX MATH Operations 10-12 Matrices 10-1 10-2 10-2 10-4 10-7 10-8 10-9...
Page 168: Getting Started: Systems Of Linear Equations
Getting Started is a fast-paced introduction. Read the chapter for details. Find the solution of X + 2Y + 3Z = 3 and 2X + 3Y + 4Z = 3. On the TI-83, you can solve a system of linear equations by entering the coefficients as elements in a matrix, and then using 1.
Page 169: Defining A Matrix
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 has 10 matrix variables, matrix directly in an expression. A matrix, depending on available memory, may have up to 99 rows or columns.
Page 170: Viewing And Editing Matrix Elements
Viewing and Editing Matrix Elements Displaying Matrix After you have set the dimensions of the matrix, you can view the matrix and enter values for the matrix elements. Elements In a new matrix, all values are zero. Select the matrix from the accept the dimensions.
Page 171 Viewing a Matrix The matrix editor has two contexts, viewing and editing. In viewing context, you can use the cursor keys to move quickly from one matrix element to the next. The full value of the highlighted element is displayed on the bottom line. Select the matrix from the enter or accept the dimensions.
Page 172 Editing a Matrix In editing context, an edit cursor is active on the bottom line. To edit a matrix element value, follow these steps. Element 1. Select the matrix from the 2. Press |, }, ~, and † to move the cursor to the matrix 3.
Page 173: Using Matrices With Expressions
Using Matrices with Expressions Using a Matrix in To use a matrix in an expression, you can do any of the following. an Expression Copy the name from the Recall the contents of the matrix into the expression with y [ Enter the matrix directly (see below).
Page 174: Displaying And Copying Matrices
Displaying and Copying Matrices Displaying a To display the contents of a matrix on the home screen, select the matrix from the Matrix press Í. Ellipses in the left or right column indicate additional columns. rows. Press ~, |, †, and } to scroll the matrix. To copy a matrix, follow these steps.
Page 175: Using Math Functions With Matrices
Using Math Functions with Matrices Using Math You can use many of the math functions on the TI-83 keyboard, the Functions with Matrices MATH TEST must be appropriate. Each of the functions below creates a new matrix; the original matrix remains the same.
Page 176 abs( abs( containing the absolute value of each element of matrix. abs( round( round( element in matrix to #decimals ( 9). If #decimals is omitted, the elements are rounded to 10 digits. round( (Inverse) Use the valid). matrix must be square. The determinant cannot equal zero.
Page 177 Relational To compare two matrices using the relational operations Operations element basis. The other relational operations are not valid with matrices. matrixA returns matrixA false; it returns iPart(, fPart(, int( iPart( (greatest integer) are on the iPart( element of matrix. fPart( each element of matrix.
Page 178: Using The Matrx Math Operations
Using the MATRX MATH Operations MATRX MATH To display the Menu NAMES 1: det( 3: dim( 4: Fill( 5: identity( 6: randM( 7: augment( 8: Matr4list( 9: List4matr( 0: cumSum( A: ref( B: rref( C: rowSwap( D: row+( E: ärow( F: ärow+( det( (determinant) returns the determinant (a real number)
Page 179 Creating a Matrix dimensions rows × columns with with dim( rows Redimensioning a Matrix with dim( matrixname to dimensions rows × columns. The elements in the old matrixname that are within the new dimensions are not changed. Additional created elements are zeros. Matrix elements that are outside the new dimensions are deleted.
Page 180 augment( augment( matrixA and matrixB both must have the same number of rows. augment( Matr4list( Matr4list( elements from each column in matrix. extra listname arguments. Likewise, extra matrix columns. Matr4list( Matr4list( column# in matrix. To fill a list with a specific column from matrix, you must enter column# after matrix.
Page 181 cumSum( cumSum( matrix, starting with the first element. Each element is the cumulative sum of the column from top to bottom. cumSum( Row Operations MATRX MATH You can use a row operation in an expression. Row operations do not change matrix in memory. You can enter all row numbers and values as expressions.
Page 182 rowSwap( rowSwap( matrix. rowSwap( row+( row+( rowB of matrix and stores the results in rowB. row+( ärow( ärow( row of matrix by value and stores the results in row. ärow( ärow+( ärow+( It multiplies rowA of matrix by value, adds it to rowB, and stores the results in rowB.
Page 183 Contents Getting Started: Generating a Sequence Naming Lists Storing and Displaying Lists Entering List Names Attaching Formulas to List Names Using Lists in Expressions LIST OPS LIST MATH Lists Menu Menu Lists 11-1 11-2 11-3 11-4 11-6 11-7 11-9 11-10 11-17...
Page 184: Getting Started: Generating A Sequence
Getting Started: Generating a Sequence Getting Started is a fast-paced introduction. Read the chapter for details. Calculate the first eight terms of the sequence 1/A created list. Then display the results in fraction form. Begin this example on a blank line on the home screen. 1.
Page 185: Naming Lists
You also can create a list name in these four places. At the At an editor At a YList: On the home screen using You can create as many list names as your TI-83 memory has space to store. . The list names through through through when you reset memory.
Page 186: Storing And Displaying Lists
Storing and Displaying Lists Storing Elements You can store list elements in either of two ways. to a List Use braces and ¿ on the home screen. Use the stat list editor (Chapter 12). The maximum dimension of a list is 999 elements. Tip: When you store a complex number to a list, the entire list is converted to a list of complex numbers.
Page 187 Copying One List To copy a list, store it to another list. to Another Accessing a List You can store a value to or recall a value from a specific list element. You can store to any element within the Element current list dimension or one element beyond.
Page 188: Entering List Names
Entering List Names Using the To display the item is a user-created list name. LIST NAMES sorted automatically in alphanumerical order. Only the first Menu 10 items are labeled, using the first list name that begins with a particular alpha character or q, press ƒ...
Page 189: Attaching Formulas To List Names
Attaching Formulas to List Names Attaching a You can attach a formula to a list name so that each list element is a result of the formula. When executed, the Formula to a List attached formula must resolve to a list. Name When anything in the attached formula changes, the list to which the formula is attached is updated automatically.
Page 190 Note: When you include more than one list name in a formula, each list must have the same dimension. the formula. Press y, and then enter a TI-83 list name through Press y [ ] and select a user.created list name...
Page 191: Using Lists In Expressions
Using Lists in Expressions Using a List in an You can use lists in an expression in any of three ways. When you press Í, any expression is evaluated for Expression each list element, and a list is displayed. Enter the list elements directly (step 1 on page 11.3). Use y [ expression at the cursor location (Chapter 1).
Page 192: List Ops Menu
LIST OPS Menu LIST OPS Menu To display the NAMES OPS MATH 1:SortA( 2:SortD( 3:dim( 4:Fill( 5:seq( 6:cumSum( List( 8:Select( 9:augment( 0:List4matr( A:Matr4list( B:Ù SortA(, SortD( SortA( values. high to low values. Complex lists are sorted based on magnitude (modulus). With one list, listname and update the list in memory.
Page 193 Using dim( to dim( of list. Find List Dimensions dim( Using dim( to You can use dimension length from 1 to 999. The elements are zeros. Create a List length Using dim( to You can use listname to dimension length from 1 to 999. Redimension a List length...
Page 194 seq( seq( result of the evaluation of expression with regard to variable for the values ranging from begin to end at steps of increment. variable need not be defined in memory. increment can be negative; the default value for increment is 1.
Page 195 Before Using Before using Select( 1. Create two list names and enter the data. 2. Turn on a stat plot, select 3. Use To select data points from a scatter plot or xyLine plot, Using Select( to Select Data follow these steps. Points from a 1.
Page 196 6. Press Í. A the left bound. left corner. 7. Press | or ~ to move the cursor to the stat plot point that you want for the right bound, and then press Í. The x-values and y-values of the selected points are stored in xlistname and ylistname.
Page 197 augment( augment( list elements can be real or complex numbers. augment( List4matr( List4matr( by column with the elements from each list. If the dimensions of all lists are not equal, then each extra matrixname row with valid. List4matr( concatenates the elements of listA and listB. The listA listB (lists stored to matrix) fills matrixname column...
Page 198 Generally, you enter a user-created list name where other input is valid, for example, on the home screen. Without the TI-83 may misinterpret a user-created list name as implied multiplication of two or more characters. Ù need not precede a user-created list name where a list...
Page 199: List Math Menu
LIST MATH Menu LIST MATH Menu To display the NAMES OPS MATH 1: min( 2: max( 3: mean( 4: median( 5: sum( 6: prod( 7: stdDev( 8: variance( min(, max( min( largest element of listA. If two lists are compared, it returns a list of the smaller or larger of each pair of elements in listA and listB.
Page 200 sum(, prod( sum( start and end are optional; they specify a range of elements. list elements can be real or complex numbers. prod( end elements are optional; they specify a range of list elements. list elements can be real or complex numbers. sum( You can combine Sums and...
Page 201 Contents Getting Started: Pendulum Lengths and Periods Setting Up Statistical Analyses Using the Stat List Editor Attaching Formulas to List Names Detaching Formulas from List Names Switching Stat List Editor Contexts Stat List Editor Contexts STAT EDIT Regression Model Features STAT CALC Statistical Variables Statistical Analysis in a Program...
Page 202: Getting Started: Pendulum Lengths And Periods
Getting Started: Pendulum Lengths and Periods Getting Started is a fast-paced introduction. Read the chapter for details. A group of students is attempting to determine the mathematical relationship between the length of a pendulum and its period (one complete swing of a pendulum).
Page 203 Ë Í to store the first 4. Press pendulum string length (6.5 cm) in The rectangular cursor moves to the next row. Repeat this step to enter each of the 12 string length values in the table on page 12.2. 5.
Page 204 Since the scatter plot of time-versus-length data appears to be approximately linear, fit a line to the data. 10. Press … ~ to select (linear regression model) from the menu. CALC LinReg(ax+b) the home screen. 11. Press y [ ] ¢ y [ to display the VARS Y.VARS secondary menu, and then...
Page 205 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. 14. Press … to select list editor is displayed. Press ~ and } to move the cursor onto Press y [ ].
Page 206 18. Press y [ STAT PLOT from the STAT PLOTS plot editor is displayed for plot 2. 19. Press Í to select plot 2. Press † Í to select Press † y [ ] to specify plot 2. Press † [ (alpha-lock is on) to specify for plot 2.
Page 207 The residual pattern indicates a curvature associated with this data set for which the linear model did not account. The residual plot emphasizes a downward curvature, so a model that curves down with the data would be more accurate. Perhaps a function such as square root would fit. Try a power regression to fit a function of the form y = a ä...
Page 208 The new function y=.192x information, examine a residual plot. 27. Press o to display the Press | Í to deselect Press } Í to turn off plot 1. Press ~ Í to turn on plot 2. Note: Step 19 defined plot 2 to plot residuals ( versus string length ( 28.
Page 209 Now that you have a good model for the relationship between length and period, you can use the model to predict the period for a given string length. To predict the periods for a pendulum with string lengths of 20 cm and 50 cm, continue with these steps.
Page 210: Setting Up Statistical Analyses
Setting Up Statistical Analyses Using Lists to Data for statistical analyses is stored in lists, which you can create and edit using the stat list editor. The TI-83 has Store Data six list variables in memory, can store data for statistical calculations. Also, you can store data to list names that you create (Chapter 11).
Page 211: Using The Stat List Editor
Using the Stat List Editor Entering a List To enter a list name in the stat list editor, follow these steps. Name in the Stat 1. Display the List Editor two ways. Note: If list names are stored to all 20 columns, you must remove a list name to make room for an unnamed column.
Page 212 Creating a Name To create a name in the stat list editor, follow these steps. in the Stat List Editor 1. Follow step 1 on page 12.11 to display the 2. Press [letter from A to Z or q ] to enter the first letter of 3.
Page 213 To edit a list element, follow these steps. Editing a List Element 1. Move the rectangular cursor onto the element you want 2. Press Í to move the cursor to the entry line. 3. Edit the element in the entry line. 4.
Page 214: Attaching Formulas To List Names
Í, and then edit the formula. 4. Press ƒ [ Note: If you do not use quotation marks, the TI-83 calculates and displays the same initial list of answers, but does not attach the formula for future calculations.
Page 215 When a list with a formula attached is displayed in the stat list editor and you edit or enter elements of another displayed list, then the TI-83 takes slightly longer to accept each edit or entry than when no lists with formulas attached are in view.
Page 216: Detaching Formulas From List Names
As described above, one way to detach a formula from a Element of a list name is to edit an element of the list to which the formula is attached. The TI-83 protects against Formula- inadvertently detaching the formula from the list name by Generated List editing an element of the formula-generated list.
Page 217: Switching Stat List Editor Contexts
Switching Stat List Editor Contexts Stat List Editor The stat list editor has four contexts. Contexts View-elements context View-names context The stat list editor is first displayed in view-elements context. To switch through the four contexts, select from the 1. Press } to move the cursor onto a list name. You are now in view-names context.
Page 218: Stat List Editor Contexts
Stat List Editor Contexts View-Elements In view-elements context, the entry line displays the list name, the current element’s place in that list, and the full Context value of the current element, up to 12 characters at a time. An ellipsis ( 12 characters.
Page 219 View-Names In view-names context, the entry line displays the list name and the list elements. Context To remove a list from the stat list editor, press {. Remaining lists shift to the left one column. The list is not deleted from memory. To insert a name in the current column, press y [ Remaining columns shift to the right one column.
Page 220: Stat Edit Menu
STAT EDIT Menu STAT EDIT Menu To display the EDIT CALC TESTS 1: Edit... 2: SortA( 3: SortD( 4: ClrList 5: SetUpEditor Note: Chapter 13: Inferential Statistics describes the menu items. SortA(, SortD( SortA( values. high to low values. Complex lists are sorted based on magnitude (modulus).
Page 221 SetUpEditor With display one or more listnames in the order that you specify. You can specify zero to 20 listnames. SetUpEditor SetUpEditor names from the stat list editor and then stores listnames in the stat list editor columns in the specified order, beginning in column If you enter a listname that is not stored in memory already, then listname is created and stored in memory;...
Page 222: Regression Model Features
Equation the specified Regardless of whether you specify a the regression equation always is stored to the TI-83 variable secondary menu. Note: For the regression equation, you can use the fixed-decimal mode setting to control the number of digits stored after the decimal point (Chapter 1).
Page 223 Diagnostics When you execute some regression models, the TI-83 computes and stores diagnostics values for Display Mode coefficient) and (coefficient of determination). models. LinReg(ax+b) LinReg(a+bx) QuadReg PwrReg example, for ln y=ln a+x(ln b). By default, these values are not displayed with the results of a regression model when you execute it.
Page 224: Stat Calc Menu
Each element in freqlist indicates how many times the corresponding data point or data pair occurs in the data set you are analyzing. For example, if the TI-83 interprets the instruction mean that once, and Each element in freqlist must be ‚ 0, and at least one element must be >...
Page 225 1-Var Stats 1.Var Stats measured variable. Each element in freqlist is the frequency of occurrence for each corresponding data point in Xlistname. freqlist elements must be real numbers > 0. 1.Var Stats 2-Var Stats 2.Var Stats Xlistname is the independent variable. Ylistname is the dependent variable.
Page 226 CubicReg CubicReg polynomial y=ax +cx+d) a value for fit; for five or more, it is a polynomial regression. At least four points are required. CubicReg QuartReg QuartReg polynomial y=ax values for dx+e) displays a value for polynomial fit; for six or more, it is a polynomial regression.
Page 227 PwrReg PwrReg the data using a least-squares fit and transformed values ln(x) and ln(y). It displays values for DiagnosticOn PwrReg Logistic Logistic c / (1+aäe using an iterative least-squares fit. It displays values for Logistic SinReg SinReg y=a sin(bx+c)+d to the data using an iterative least-squares a sin(bx+c)+d fit.
Page 228 SinReg Example: Compute the regression model for the number of hours of daylight in Alaska during one year. Daylight Hours in Alaska for One Year With noisy data, you will achieve better convergence results when you specify an accurate estimate for period. You can obtain a period guess in either of two ways.
Page 229: Statistical Variables
Statistical Variables The statistical variables are calculated and stored as indicated below. To access these variables for use in expressions, press , and select . Then select the 5:Statistics menu. If you edit a list or change the type of analysis, all statistical VARS variables are cleared.
Page 230: Statistical Analysis In A Program
Statistical Analysis in a Program Entering Stat You can enter statistical data, calculate statistical results, and fit models to data from a program. You can enter Data statistical data into lists directly within the program (Chapter 11). To perform a statistical calculation from a program, follow Statistical these steps.
Page 231: Statistical Plotting
Statistical Plotting Steps for Plotting You can plot statistical data that is stored in lists. The six types of plots available are scatter plot, xyLine, histogram, Statistical Data in modified box plot, regular box plot, and normal probability Lists plot. You can define up to three plots. To plot statistical data in lists, follow these steps.
Page 232 Ò Histogram value determines the width of each bar, beginning at (Histogram) ZoomStat values, and also adjusts Xmax on the edge of a bar is counted in the bar to the right. Õ ModBoxplot like the regular box plot, except points that are 1.5 (ModBoxplot) Interquartile Range beyond the quartiles.
Page 233 If the plotted setting. Data Axis If you select , the TI-83 plots the data on the x-axis and the z-values on the y-axis. If you select , the TI-83 plots the data on the y-axis and the z-values on the x-axis.
Page 234 Defining the To define a plot, follow these steps. Plots 1. Press y [ 2. Select the plot you want to use. The stat plot editor is 3. Press Í to select 4. Select the type of plot. Each type prompts for the 5.
Page 235 Displaying Other Each stat plot has a unique stat plot editor. The name of the current stat plot ( Stat Plot Editors the top line of the stat plot editor. To display the stat plot editor for a different plot, press }, ~, and | to move the cursor onto the name in the top line, and then press Í.
Page 236 Defining the Stat plots are displayed on the current graph. To define the viewing window, press p and enter values for the Viewing Window window variables. to display all statistical data points. Tracing a Stat When you trace a scatter plot or xyLine, tracing begins at the first element in the lists.
Page 237: Statistical Plotting In A Program
Statistical Plotting in a Program Defining a Stat To display a stat plot from a program, define the plot, and then display the graph. Plot in a Program To define a stat plot from a program, begin on a blank line in the program editor and enter data into one or more lists;...
Page 238 5. Press ¢. Enter the list names, separated by commas. 6. Press ¢ y [ 7. Press ¤ Í to complete the command line. To display a plot from a program, use the Displaying a Stat Plot from a instruction (Chapter 16) or any of the (Chapter 3).
Page 239 Contents Getting Started: Mean Height of a Population Inferential Stat Editors STAT TESTS Inferential Statistics Input Descriptions Test and Interval Output Variables Distribution Functions Distribution Shading Inferential Statistics and Distributions Menu Inferential Statistics and Distributions 13-1 13-2 13-6 13-9 13-26 13-28 13-29 13-35...
Page 240: Getting Started: Mean Height Of A Population
Getting Started: Mean Height of a Population Getting Started is a fast-paced introduction. Read the chapter for details. Suppose you want to estimate the mean height of a population of women given the random sample below. Because heights among a biological population tend to be normally distributed, a t distribution confidence interval can be used when estimating the mean.
Page 241 4. Press … | to display the menu, and then press † until highlighted. 5. Press Í to select inferential stat editor for displayed. If is not selected for Data press | Í to select Press † and [ prompt (alpha-lock is on). Press †...
Page 242 To obtain a more precise bound on the population mean increase the sample size to 90. Use a sample mean standard deviation of 7.1 calculated from the larger random sample (introduction; page 13.2). This time, use the option. 7. Press … | to display the inferential stat editor for TInterval...
Page 243 11. Press to paste invNorm( screen. Press Ë ¢ Ë Í. is the area, 165.1 The result is displayed on the home screen; it shows that five percent of the women are taller than 175.5 cm. Now graph and shade the top 5 percent of the population. 12.
Page 244: Inferential Stat Editors
Inferential Stat Editors Displaying the When you select a hypothesis test or confidence interval instruction from the home screen, the appropriate Inferential Stat inferential statistics editor is displayed. The editors vary Editors according to each test or interval’s input requirements. Below is the inferential stat editor for Note: When you select the home screen.
Page 245 13.26 and 13.27. Arguments When you enter values in any inferential stat editor, the TI.83 stores them in memory so that you can run many tests or intervals without having to reenter every value. Selecting an...
Page 246 Selecting the Pooled whether the variances are to be pooled for the calculation. Pooled Option To select the then press Í. Selecting After you have entered all arguments in an inferential stat editor for a hypothesis test, you must select whether you Calculate or Draw want to see the calculated results on the home screen for a Hypothesis...
Page 247: Stat Tests Menu
STAT TESTS Menu STAT TESTS To display the select an inferential statistics instruction, the appropriate Menu inferential stat editor is displayed. Most to memory. Most of these output variables are in the secondary menu ( these variables, see page 13.28. EDIT CALC TESTS 1: Z-Test...
Page 248 Z.Test Z.Test test for a single unknown population mean population standard deviation s is known. It tests the null hypothesis H In the example: ={299.4 297.7 301 298.9 300.2 297} Input: Calculated results: Drawn results: Note: All examples on pages13.10 through 13.25 assume a fixed- decimal mode setting of Float the output in the examples.
Page 249 T.Test T.Test test for a single unknown population mean population standard deviation s is unknown. It tests the null hypothesis H below. In the example: TEST={91.9 97.8 111.4 122.3 105.4 95} Input: Calculated results: Drawn results: (one-sample t test; item : m=m against one of the alternatives : mƒm...
Page 250 2.SampZTest 2.SampZTest of the means of two populations (m independent samples when both population standard deviations (s In the example: LISTA={154 109 137 115 140} LISTB={108 115 126 92 146} Input: Calculated results: Drawn results: 13-12 Inferential Statistics and Distributions (two-sample z test;...
Page 251 2.SampTTest 2.SampTTest of the means of two populations (m independent samples when neither population standard deviation (s 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: Drawn results: (two-sample t test; item or s ) is known.
Page 252 1-PropZTest 1.PropZTest for an unknown proportion of successes (prop). It takes as input the count of successes in the sample x and the count of observations in the sample n. hypothesis H below. Input: Calculated results: Drawn results: 13-14 Inferential Statistics and Distributions (one-proportion z test;...
Page 253 2-PropZTest 2.PropZTest to compare the proportion of successes (p two populations. It takes as input the count of successes in each sample (x each sample (n hypothesis H Ç) against one of the alternatives below. Input: Calculated results: Drawn results: (two-proportion z test;...
Page 254 ZInterval (one-sample z confidence interval; item ZInterval computes a confidence interval for an unknown population mean m when the population standard deviation s is known. 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:...
Page 255 TInterval (one-sample t confidence interval; item TInterval computes a confidence interval for an unknown population mean m when the population standard deviation s is unknown. 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:...
Page 256 2-SampZInt (two-sample z confidence interval; item 2.SampZInt computes a confidence interval for the difference between two population means (m ) when both population standard deviations ( s and s ) are known. The computed confidence interval depends on the user-specified confidence level.
Page 257 2-SampTInt (two-sample t confidence interval; item 2.SampTInt computes a confidence interval for the difference between two population means (m ) when both population standard deviations ( s and s ) are unknown. The computed confidence interval depends on the user- specified confidence level.
Page 258 (one-proportion z confidence interval; item 1-PropZInt 1.PropZInt computes a confidence interval for an unknown proportion of successes. It takes as input the count of successes in the sample x and the count of observations in the sample n. The computed confidence interval depends on the user- specified confidence level.
Page 259 2-PropZInt 2.PropZInt computes a confidence interval for the difference between the proportion of successes in two populations (p takes as input the count of successes in each sample the user-specified confidence level. Input: Calculated results: (two-proportion z confidence interval; item and x ) and the count of observations in each sample and n...
Page 260 -Test .Test for association on the two-way table of counts in the specified Observed matrix. The null hypothesis H two-way table is: no association exists between row variables and column variables. The alternative hypothesis is: the variables are related. Before computing a c matrix.
Page 261 2-SampÜTest 2.SampÜTest Û-test to compare two normal population standard deviations (s deviations are all unknown. ratio of sample variances Sx1 hypothesis H In the example: SAMP4={ SAMP5={ L1 12 L1 L3 Input: Calculated results: Drawn results: (two-sample Û-test; item and s ).
Page 262 LinRegTTest LinRegTTest linear regression on the given data and a t test on the value of slope b and the correlation coefficient r for the equation y=a+bx. It tests the null hypothesis H r =0) against one of the alternatives below. The regression equation is automatically stored to VARS Statistics EQ variable name at the...
Page 263 ANOVA( ANOVA( one-way analysis of variance for comparing the means of two to 20 populations. The comparing these means involves analysis of the variation in the sample data. The null hypothesis H tested against the alternative H ANOVA( In the example: ={7 4 6 6 5} ={6 5 5 8 7} ={4 7 6 7 6}...
Page 264: Inferential Statistics Input Descriptions
. Default=1. All elements must be integers | 0. List displays the output on the home screen. Calculate draws a graph of the results. Draw for the two-sample tests and List1 List2 2.SampTInt instructs the TI.83 to pool the instructs the TI.83 not to...
Page 265 Input Description The expected sample proportion for real number, such that 0 < p The count of successes in the sample for the The count of observations in the sample for the 1.PropZTest The count of successes from sample one for the 2.PropZTest The count of successes from sample two for the 2.PropZTest...
Page 266: Test And Interval Output Variables
Test and Interval Output Variables The inferential statistics variables are calculated as indicated below. To access these variables for use in expressions, press , select the menu listed in the last column below. VARS Variables p-value test statistics degrees of freedom sample mean of x values for sample 1 and sample 2 sample standard deviation of x...
Page 267: Distribution Functions
Distribution Functions DISTR menu To display the DISTR DRAW 1: normalpdf( 2: normalcdf( 3: invNorm( 4: tpdf( 5: tcdf( 6: c 7: c 8: Üpdf( 9: Ücdf( 0: binompdf( A: binomcdf( B: poissonpdf( C: poissoncdf( D: geometpdf( E: geometcdf( Note: L1å99 and 1å99 specify infinity. If you want to view the area left of upperbound, for example, specify lowerbound = L1å99.
Page 268 normalcdf( normalcdf( between lowerbound and upperbound for the specified mean m and standard deviation s . The defaults are m =0 and s =1. normalcdf( invNorm( invNorm( distribution function for a given area under the normal distribution curve specified by mean m and standard deviation s .
Page 269 tcdf( tcdf( between lowerbound and upperbound for the specified df (degrees of freedom), which must be > 0. tcdf( pdf( pdf( the c (degrees of freedom) must be an integer > 0. To plot the c distribution, paste c density function (pdf) is: pdf( cdf( cdf(...
Page 270 Üpdf( Üpdf( the Û distribution at a specified x value. numerator df (degrees of freedom) and denominator df must be integers > 0. To plot the Û distribution, paste The probability density function (pdf) is: where Üpdf( Ücdf( Ücdf( lowerbound and upperbound for the specified numerator df (degrees of freedom) and denominator df.
Page 271 binompdf( binompdf( binomial distribution with the specified numtrials and probability of success (p) on each trial. x can be an integer or a list of integers. 0p1 must be true. numtrials must be an integer > 0. If you do not specify x, a list of probabilities from 0 to numtrials is returned.
Page 272 poissoncdf( poissoncdf( discrete Poisson distribution with the specified mean m, which must be a real number > 0. x can be a real number or a list of real numbers. poissoncdf( geometpdf( geometpdf( trial on which the first success occurs, for the discrete geometric distribution with the specified probability of success p.
Page 273: Distribution Shading
Distribution Shading DISTR DRAW To display the Menu DISTR DRAW functions, shade the area specified by lowerbound and upperbound, and display the computed area value. To clear the drawings, select menu (Chapter 8). Note: Before you execute a the window variables so that the desired distribution fits the screen. DISTR DRAW 1: ShadeNorm( 2:Shade_t(...
Page 274 Shade_t( Shade_t( distribution specified by df (degrees of freedom) and shades the area between lowerbound and upperbound. Shade_t( Shadec Shadec distribution specified by df (degrees of freedom) and shades the area between lowerbound and upperbound. Shadec ShadeÜ( ShadeÜ( specified by numerator df (degrees of freedom) and denominator df and shades the area between lowerbound and upperbound.
Page 275 Contents Getting Started: Financing a Car Getting Started: Computing Compound Interest Using the Using the Financial Functions Calculating Time Value of Money ( Calculating Cash Flows Calculating Amortization Calculating Interest Conversion Finding Days between Dates/Defining Payment Method Using the Financial Functions TVM Solver Variables...
Page 276: Getting Started: Financing A Car
4. Press } } } } } } to move the cursor prompt. Press ƒ [ to the æ solve for æ . What APR should you look for? 14-2 Financial Functions . The TI-83 . The 1:TVM Solver Ú Í to . Press and 12 PMT:END ] to...
Page 277: Getting Started: Computing Compound Interest
Getting Started: Computing Compound Interest At what annual interest rate, compounded monthly, will 1,250 accumulate to 2,000 in 7 years? Note: Because there are no payments when you solve compound interest problems, must be set to must be set to 1.
Page 278: Using The Tvm Solver
Using the TVM Solver Using the TVM variables. Given four variable values, the Solver for the fifth variable. the five PMT: END BEGIN FINANCE CALC of each period) and each period). To solve for an unknown 1. Press y [ screen below shows the default values with the fixed- decimal mode set to two decimal places.
Page 279: Using The Financial Functions
Using the Financial Functions Entering Cash When using the TI-83 financial functions, you must enter cash inflows (cash received) as positive numbers and cash Inflows and Cash outflows (cash paid) as negative numbers. The TI-83 Outflows follows this convention when computing and displaying answers.
Page 280: Calculating Time Value Of Money (Tvm)
(page 14.14). Note: To store a value to a 14.4) or use ¿ and any menu (page 14.14). If you enter less than six arguments, the TI-83 substitutes a previously stored argument. If you enter any arguments with a place the argument or arguments in parentheses.
Page 281 tvm_æ tvm_æ tvm_æ tvm_PV tvm_PV tvm_PV tvm_Ú tvm_Ú tvm_Ú tvm_FV tvm_FV tvm_FV computes the annual interest rate. Ú computes the present value. Ú æ computes the number of payment periods. æ computes the future value. Ú æ Financial Functions 14-7...
Page 282: Calculating Cash Flows
Calculating Cash Flows Calculating a Use the cash flow functions (menu items analyze the value of money over equal time periods. You Cash Flow can enter unequal cash flows, which can be cash inflows or outflows. The syntax descriptions for these arguments.
Page 283: Calculating Amortization
æ ending payment in the range. pmt1 and pmt2 must be positive integers < 10,000. roundvalue specifies the internal precision the calculator uses to calculate the interest; if you do not specify roundvalue, the TI-83 uses the current GInt( pmt1 æ...
Page 284 Amortization You want to buy a home with a 30-year mortgage at 8 percent APR. Monthly payments are 800. Calculate the Example: Calculating an outstanding loan balance after each payment and display the results in a graph and in the table. Outstanding Loan Balance 1.
Page 285 6. Press p to display the window variables. Enter the values below. Tmin=0 Xmin=0 Tmax=360 Xmax=360 Tstep=12 Xscl=50 7. Press r to draw the graph and activate the trace cursor. Press ~ and | to explore the graph of the outstanding balance over time.
Page 286: Calculating Interest Conversion
Calculating Interest Conversion Calculating an Use the interest conversion functions (menu items ) to convert interest rates from an annual effective rate to Interest a nominal rate ( Conversion effective rate ( 4Nom( 4Nom( and compounding periods must be real numbers. compounding periods must be >0.
Page 287: Finding Days Between Dates/Defining Payment Method
Finding Days between Dates/Defining Payment Method dbd( Use the date function number of days between two dates using the actual-day- count method. date1 and date2 can be numbers or lists of numbers within the range of the dates on the standard calendar.
Page 288: Using The Tvm Variables
Using the TVM Variables FINANCE VARS To display the ~. You can use Menu values to them on the home screen. CALC VARS 1: Ú 2: æ 3: PV 4: PMT 5: FV 6: P/Y 7: C/Y Ú, æ, PV, PMT, Ú...
Page 289 Contents Browsing the TI-83 Entering and Using Strings Storing Strings to String Variables String Functions and Instructions in the Hyperbolic Functions in the CATALOG, Strings, Hyperbolic Functions CATALOG CATALOG , Strings, Hyperbolic Functions 15-1 CATALOG CATALOG 15-2 15-3 15-4 15-6...
Page 290: Browsing The Ti-83 Catalog
Browsing the TI-83 CATALOG What Is the instructions on the TI-83. You also can access each CATALOG? CATALOG The six string functions (page 15.6) The six hyperbolic functions (page 15.10) (Chapter 2) The inferential stat functions without the inferential stat...
Page 291: Entering And Using Strings
Entering and Using Strings What Is a String? A string is a sequence of characters that you enclose within quotation marks. On the TI-83, a string has two primary applications. It defines text to be displayed in a program. It accepts input from the keyboard in a program.
Page 292: Storing Strings To String Variables
Storing Strings to String Variables String Variables The TI-83 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 293 Storing a String To store a string to a string variable, follow these steps. to a String 1. Press ƒ [ Variable 2. Press ¿. 3. Press 4. Select the string variable (from 5. Press Í to store the string to the string variable. On Displaying the To display the contents of a string variable on the home screen, select the string variable from the...
Page 294: String Functions And Instructions In The Catalog
String Functions and Instructions in the CATALOG Displaying String String functions and instructions are available only from Functions and CATALOG and instructions in the order in which they appear among Instructions in the other the CATALOG indicate the presence of additional CATALOG Equ4String( expr(...
Page 295 Equ4String( Equ4String( to any n (from which you want the equation to be stored as a string. Equ4String(Y expr( expr( an expression and executes it. string can be a string or a string variable. expr( inString( inString( character of substring. string can be a string or a string variable.
Page 296 length( length( can be a string or string variable. Note: An instruction or function name, such as one character. length( String4Equ( String4Equ( equation to String4Equ( String4Equ( 15-8 , Strings, Hyperbolic Functions CATALOG returns the number of characters in string. string string converts string into an equation and stores the n.
Page 297 sub( sub( string can be a string or a string variable. begin is the position number of the first character of the subset. length is the number of characters in the subset. sub( Entering a In a program, you can enter a function to graph during program execution using these commands.
Page 298: Hyperbolic Functions In The Catalog
Hyperbolic Functions in the CATALOG Hyperbolic The hyperbolic functions are available only from the Functions CATALOG the order in which they appear among the other menu items. The ellipses in the table indicate the presence of additional CATALOG cosh( cosh sinh( sinh tanh(...
Page 299 Contents Getting Started: Volume of a Cylinder Creating and Deleting Programs Entering Command Lines and Executing Programs Editing Programs Copying and Renaming Programs PRGM CTL PRGM I/O Calling Other Programs as Subroutines Programming (Control) Instructions (Input/Output) Instructions Programming 16-1 16-2 16-4 16-5 16-6...
Page 300: Getting Started: Volume Of A Cylinder
Getting Started: Volume of a Cylinder Getting Started is a fast-paced introduction. Read the chapter for details. A program is a set of commands that the TI-83 executes sequentially, as if you had entered them from the keyboard. Create a program that prompts for the radius R and the height H of a cylinder and then computes its volume.
Page 301 5. Press ~ to select menu. Disp PRGM I/O command line. Press y [ ƒ [ ] Í to set up the program to display the text VOLUME IS the calculated value of 6. Press y [ ] to display the home QUIT screen.
Page 302: Creating And Deleting Programs
Program? program, the TI-83 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 can store is limited only by available memory. Creating a New To create a new program, follow these steps.
Page 303: Entering Command Lines And Executing Programs
Last Answer ( Last Entry is not updated as each command is executed (Chapter 1). The TI-83 checks for errors during program execution. It does not check for errors as you enter a program. To stop program execution, press É. The Breaking a menu is displayed.
Page 304: Editing Programs
Editing Programs Editing a To edit a stored program, follow these steps. Program 1. Press ~ to display the 2. Select a program name from the 16.7). Up to the first seven lines of the program are displayed. Note: The program editor does not display a $ to indicate that a program continues beyond the screen.
Page 305: Copying And Renaming Programs
You can rename a program by copying its contents into a new program. Note: You also can copy all the command lines from one existing program to another existing program using The TI-83 sorts Scrolling the automatically into alphanumerical order. Each menu only PRGM EXEC and...
Page 306: Prgm Ctl (Control) Instructions
To return to the program editor without selecting an item, press ‘. Program control instructions tell the TI-83 which Controlling Program Flow command to execute next in a program.
Page 307 then the command immediately following condition is true (nonzero), then the next command is executed. condition command (if true) command Program If.Then Then condition is true (nonzero). group of commands. condition :Then command (if true) command (if true) :End command Program for testing and branching.
Page 308 If-Then-Else Else condition is false (zero). group of commands. condition :Then command (if true) command (if true) :Else command (if false) command (if false) :End command Program For( For( begin to end by increment. increment is optional (default is 1) and can be negative (end<begin). end is a maximum or minimum value not to be exceeded.
Page 309 While While true. condition is frequently a relational test (Chapter 2). condition is tested when condition is true (nonzero), the program executes a group of commands. condition is false (zero), the program executes each command following :While command (while condition is true) command (while condition is true) :End command...
Page 310 include an Repeat end of each Pause Pause see answers or graphs. During the pause, the pause indicator is on in the top-right corner. Press Í to resume execution. Pause Program 16-12 Programming identifies the end of a group of commands. You must instruction at the end of each loop.
Page 311 Lbl, Goto branching. two characters ( Goto encountered. Goto Program IS>( IS>( is > value (which can be an expression), the next command is skipped; if the answer is { value, the next command is executed. variable cannot be a system variable.
Page 312 DS<( DS<( answer is < value (which can be an expression), the next command is skipped; if the answer is | value, the next command is executed. variable cannot be a system variable. :DS<( command (if answer ‚ value) command (if answer < value) Program Note: Menu(...
Page 313 prgm 16.22). When you select location. Enter characters to spell a program name. Using prgm PRGM EXEC name of a program that you have not yet created. prgm Note: You cannot directly enter the subroutine name when using You must paste the name from the Return Return calling program (page 16.22), even if encountered within...
Page 314: Prgm I/O (Input/Output) Instructions
Checks the keyboard for a keystroke. Clears the display. Clears the current table. Gets a variable from another TI-83. Gets a variable from CBL 2/CBL or CBR. Sends a variable to CBL 2/CBL or CBR. without a variable displays the current graph. You format).
Page 315 Storing a Input during execution. variable may be a real number, complex Variable Value with Input number, list, matrix, string, or execution, enter a value, which can be an expression, and then press Í. The value is evaluated and stored to variable, and the program resumes execution.
Page 316 Prompt During program execution, one at a time, followed by value or expression for each variable, and then press Í. The values are stored, and the program resumes execution. Prompt Program Note: Y= functions are not valid with Prompt. Displaying the Disp To view the home screen during program execution, follow Home Screen...
Page 317 DispGraph DispGraph Pause temporarily so you can examine the screen. Press Í to resume execution. DispTable DispTable program halts temporarily so you can examine the screen. Press Í to resume execution. Output( Output( beginning at row ( overwriting any existing characters. Tip: You may want to precede Expressions are evaluated and values are displayed according to the current mode settings.
Page 318 Program Note: You can press É at any time during execution to break the program (page 16.5). TI-83 Key Code Diagram ClrHome, ClrHome ClrTable during program execution.
Page 319 Get( Note: If you transfer a program that references the the TI-83 from a TI.82, the TI-83 will interpret it as the above. Use Send( CBR. You cannot use it to send to another TI-83. variable...
Page 320: Calling Other Programs As Subroutines
Calling Other Programs as Subroutines Calling a On the TI-83, any stored program can be called from another program as a subroutine. Enter the name of the Program from program to use as a subroutine on a line by itself.
Page 321 Contents Comparing Test Results Using Box Plots Graphing Piecewise Functions Graphing Inequalities Solving a System of Nonlinear Equations Using a Program to Create the Sierpinski Triangle Graphing Cobweb Attractors Using a Program to Guess the Coefficients Graphing the Unit Circle and Trigonometric Curves Finding the Area between Curves Using Parametric Equations: Ferris Wheel Problem Demonstrating the Fundamental Theorem of Calculus...
Page 322: Comparing Test Results Using Box Plots
The TI Graphics team conducted a similar test for adult men and women.
Page 323 6. Press o. Turn off all functions. 7. Press p. Set Xscl=1 select . This adjusts the viewing window and 9:ZoomStat displays the box plots for the women’s results. 8. Press r. Use | and ~ to examine for each plot. Notice the outlier to the women’s right- hand data.
Page 324: Graphing Piecewise Functions
Graphing Piecewise Functions Problem The fine for speeding on a road with a speed limit of 45 kilometers per hour (kph) is 50; plus 5 for each kph from 46 to 55 kph; plus 10 for each kph from 56 to 65 kph; plus 20 for each kph from 66 kph and above.
Page 325: Graphing Inequalities
Graphing Inequalities Problem Graph the inequality 0 TEST inequality is true and where it is false. 1. Press z. Select Procedure Setting í (dot) in the 2. Press o. Turn off all functions and stat plots. Enter the left side of the inequality as 3.
Page 326: Solving A System Of Nonlinear Equations
Solving a System of Nonlinear Equations Problem Using a graph, solve the equation X another way, solve the system of two equations and two unknowns: Y = X to control the decimal places displayed on the graph. 1. Press z. Select the default mode settings. Press o. Procedure Turn off all functions and stat plots.
Page 327: Using A Program To Create The Sierpinski Triangle
Using a Program to Create the Sierpinski Triangle Setting up the This program creates a drawing of a famous fractal, the Sierpinski Triangle, and stores the drawing to a picture. To Program begin, press ~ ~ and then press Í. The program editor is displayed. Program PROGRAM:SIERPINS :FnOff :ClrDraw...
Page 328: Graphing Cobweb Attractors
Graphing Cobweb Attractors Problem Using and repelling behavior in sequence graphing. 1. Press z. Select Procedure Press y [ format settings. 2. Press o. Clear all functions and turn off all stat plots. Enter the sequence that corresponds to the expression Y = K X(1NX).
Page 329: Using A Program To Guess The Coefficients
Using a Program to Guess the Coefficients Setting Up the This program graphs the function A sin(BX) with random integer coefficients between 1 and 10. Try to guess the Program coefficients and graph your guess as C sin(DX). The program continues until your guess is correct. Program PROGRAM:GUESS :PlotsOff :Func...
Page 330: Graphing The Unit Circle And Trigonometric Curves
Graphing the Unit Circle and Trigonometric Curves Problem Using parametric graphing mode, graph the unit circle and the sine curve to show the relationship between them. Any function that can be plotted in plotted in 1. Press z. Select Procedure 2.
Page 331: Finding The Area Between Curves
Finding the Area between Curves Problem Find the area of the region bounded by f(x) g(x) 1. Press z. Select the default mode settings. Procedure 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.
Page 332: Using Parametric Equations: Ferris Wheel Problem
Using Parametric Equations: Ferris Wheel Problem Problem Using two pairs of parametric equations, determine when two objects in motion are closest to each other in the same plane. A ferris wheel has a diameter (d) of 20 meters and is rotating counterclockwise at a rate (s) of one revolution every 12 seconds.
Page 333 4. Press s to graph the equations. Watch closely as they are plotted. Notice that the ball and the ferris wheel passenger appear to be closest where the paths cross in the top-right quadrant of the ferris wheel. 5. Press p. Change the viewing window to concentrate on this portion of the graph.
Page 334: Demonstrating The Fundamental Theorem Of Calculus
Demonstrating the Fundamental Theorem of Calculus Problem 1 Using the functions to graph functions defined by integrals and derivatives demonstrates graphically that: F(x) = [‰ 1. Press z. Select the default settings. Procedure 1 2. Press p. Set the viewing window. Xmin=.01 Xmax=10 Xscl=1...
Page 335 Problem 2 Explore the functions defined by 1. Press o. Turn off all functions and stat plots. Use a list Procedure 2 2. Press q 3. Press r. Notice that the functions appear identical, 4. Press o. Enter the numerical derivative of 5.
Page 336: Computing Areas Of Regular N-Sided Polygons
Computing Areas of Regular N-Sided Polygons Problem Use the equation solver to store a formula for the area of a regular N-sided polygon, and then solve for each variable, given the other variables. Explore the fact that the limiting case is the area of a circle, pr Consider the formula A = NB area of a regular polygon with N sides of equal length and B distance from the center to a vertex.
Page 337 Find the area given . Compare your results with p6 10000 with radius 6), which is approximately 113.097. 7. Enter . To find the area and then press ƒ [ , then , then N=100 N=150 Notice that as gets large, the area Now graph the equation to see visually how the area changes as the number of sides gets large.
Page 338: Computing And Graphing Mortgage Payments
Computing and Graphing Mortgage Payments Problem You are a loan officer at a mortgage company, and you recently closed on a 30-year home mortgage at 8 percent interest with monthly payments of 800. The new home owners want to know how much will be applied to the interest and how much will be applied to the principal when they make the 240th payment 20 years from now.
Page 339 Now compare the graph of the amount of interest with the graph of the amount of principal for each payment. 4. Press z. Set 5. Press o. Turn off all functions and stat plots. Enter these equations and set the graph styles as shown. GPrn( GInt( Note:...
Page 340 8. Press † to move the cursor onto the function for interest defined by The graph shows that for the 240th payment ( 441.97 of the 800 payment is interest ( 9. Press y [ home screen. Check the figures from the graph. At which monthly payment will the principal allocation surpass the interest allocation? 17-20 Applications...
Page 341 Contents Checking Available Memory Deleting Items from Memory Clearing Entries and List Elements Resetting the TI-83 Memory Management Memory Management 18-1 18-2 18-3 18-4 18-5...
Page 342: Checking Available Memory
To check RAM usage, follow these steps. 1. Press y [ 2. Select The TI-83 expresses memory quantities in bytes. Note: zero, even after memory is cleared. To leave the ‘. Both options display the home screen.
Page 343: Deleting Items From Memory
Deleting Items from Memory Deleting an Item To increase available memory by deleting the contents of any variable (real or complex number, list, matrix, variable, program, picture, graph database, or string), follow these steps. 1. Press y [ 2. Select menu.
Page 344: Clearing Entries And List Elements
Clearing Entries and List Elements Clear Entries Clear Entries storage area (Chapter 1). To clear the follow these steps. 1. Press y [ 2. Select home screen. 3. Press Í to clear the To cancel Note: If you select Entries (last entry) is cleared when the program is executed.
Page 345: Resetting The
(including default settings) or Secondary Menu resetting the default settings while preserving other data stored in memory, such as programs and Resetting all memory on the TI-83 restores memory to the Resetting All Memory factory settings. It deletes all nonsystem variables and all programs.
Page 346 Resetting When you reset defaults on the TI-83, all defaults are restored to the factory settings. Stored data and programs Defaults are not changed. These are some examples of TI-83 defaults that are restored by resetting the defaults. To reset all TI-83 factory defaults, follow these steps.
Page 347 Contents Getting Started: Sending Variables TI-83 Selecting Items to Send Receiving Items Transmitting Items Transmitting Lists to a TI Transmitting from a TI Backing Up Memory Communication Link LINK 82 to a TI-83 Communication Link 19-1 19-2 19-3 19-4 19-5...
Page 348: Getting Started: Sending Variables
Getting Started: Sending Variables Getting Started is a fast-paced introduction. Read the chapter for details. Create and store a variable and a matrix, and then transfer them to another TI-83. 1. On the home screen of the sending unit, Ë...
Page 349: Ti-83 Link
CBR and the CBL 2/CBL System are optional accessories that connect to a TI-83 with the unit-to-unit link cable. or the CBL 2/CBL With a CBR or a CBL 2/CBL and a TI-83, you can collect System and analyze real-world data.
Page 350: Selecting Items To Send
Displays all picture data types. Displays all matrix data types. Displays all real variables. Displays all complex variables. Displays all Displays all string variables. Selects all for backup to TI-83. LINK SEND screen is displayed. SELECT SELECT All+ SELECT screen, except...
Page 351: Receiving Items
Receiving Items To display the LINK RECEIVE Menu SEND RECEIVE 1: Receive When you select Receiving Unit the receiving unit, the message indicator are displayed. The receiving unit is ready to receive transmitted items. To exit the receive mode without receiving items, press É, and then select from the To transmit, follow the steps on page 19 When transmission is complete, the unit exits the receive...
Page 352: Transmitting Items
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 You attempt a data transfer from a TI-83 to a TI data other than lists menu item Although a transmission error does not occur, these two conditions may prevent successful transmission.
Page 353 1. Set the TI-83 to receive (page 19 2. Do not select or deselect any new items to send. If you 3. Disconnect the link cable from one TI-83 and connect it 4. Set the additional TI-83 to receive (page 19 5.
Page 354: Transmitting Lists To A Ti - 82
4. Press ~ to display the 5. Confirm that the receiving unit is set to receive (page 19 6. Press Í to select Note: If dimension > 99 for a TI-83 list that is selected to send, the receiving TI transmission. 19-8 Communication Link...
Page 355: Transmitting From A Ti - 82 To A Ti-83
Transmitting from a TI-82 to a TI-83 Resolved Generally, you can transmit items to a TI-83 from a TI but differences between the two products may affect some Differences transmitted data. This table shows differences for which between the TI-82...
Page 356: Backing Up Memory
Backing Up Memory Memory Backup To copy the exact contents of memory in the sending TI-83 to the memory of the receiving TI-83, put the other unit in receive mode. Then, on the receiving unit, select from the Warning: receiving unit; all information in the memory of the receiving unit is lost.
Page 357 Tables and Reference Information Contents Table of Functions and Instructions TI.83 Menu Map Variables Statistics Formulas Financial Formulas Tables and Reference Information A-1 A-39 A-49 A-50 A-54...
Page 358: Table Of Functions And Instructions
Table of Functions and Instructions Functions return a value, list, or matrix. You can use functions in an expression. Instructions initiate an action. Some functions and instructions have arguments. Optional arguments and accompanying commas are enclosed in brackets ( [ ] ). For details about an item, including argument descriptions and restrictions, turn to the page listed on the right side of the table.
Page 359 Function or Instruction/ Arguments augment( matrixA matrixB augment( listA listB AxesOff AxesOn bal( npmt[ roundvalue] binomcdf( numtrials binompdf( numtrials cdf( lowerbound upperbound Result Returns a matrix, which is matrixB appended to matrixA as new columns. Returns a list, which is listB concatenated to the end of listA.
Page 360 Function or Instruction/ Arguments pdf( .Test( observedmatrix expectedmatrix drawflag] Circle( radius Clear Entries ClrAllLists ClrDraw ClrHome ClrList listname1 listname2 , ..., listname n] ClrTable conj( value Connected A-4 Tables and Reference Information Result Computes the probability density function (pdf) for the distribution at a specified x value for the specified degrees of freedom df.
Page 361 Function or Instruction/ Arguments CoordOff CoordOn cos( value value cosh( value cosh value CubicReg [Xlistname Ylistname freqlist regequ] cumSum( list cumSum( matrix dbd( date1 date2 4Dec value Result Turns off cursor coordinate value display. Turns on cursor coordinate value display. Returns cosine of a real number, expression, or list.
Page 362 Function or Instruction/ Arguments Degree DelVar variable DependAsk DependAuto matrix det( DiagnosticOff DiagnosticOn dim( listname dim( matrixname !dim( length listname rows columns dim( matrixname Disp Disp [valueA valueB valueC value n] A-6 Tables and Reference Information Result Sets degree angle mode. Deletes from memory the contents of variable.
Page 363 Function or Instruction/ Arguments DispGraph DispTable 4DMS value DrawF expression expression DrawInv :DS<( variable value commandA commands power list Exponent: value exponent Exponent: list exponent Exponent: matrix exponent 4Eff( nominal rate compounding periods Else If:Then:Else Result Displays the graph. Displays the table. Displays value in DMS format.
Page 364 Function or Instruction/ Arguments Equ4String(Y= ,Str expr( string [Xlistname ExpReg Ylistname freqlist regequ] ExprOff ExprOn Ücdf( lowerbound upperbound numerator df denominator df Fill( value matrixname Fill( value listname Float A-8 Tables and Reference Information Result Identifies end of For( Then Else Repeat , or...
Page 365 Function or Instruction/ Arguments fMax( expression variable lower upper[ tolerance] fMin( expression variable lower upper[ tolerance] fnInt( expression variable lower upper[ tolerance] FnOff [function# function# ,..., function n] [function# FnOn function# ,..., function n] :For( variable begin increment] commands :End commands fPart( value...
Page 366 Gets data from the CBL 2/CBL System or CBR and stores it in variable. Gets contents of variable on another TI.83 and stores it to variable on the receiving TI.83. Returns the key code for the current keystroke, or , if no key is pressed.
Page 367 Function or Instruction/ Arguments GraphStyle( function# graphstyle# GridOff GridOn Horiz Horizontal identity( dimension condition commandA commands condition :Then commands :End commands condition :Then commands :Else commands :End commands imag( value Result Sets a graphstyle for function#. Turns off grid format. Turns on grid format.
Page 368 Function or Instruction/ Arguments IndpntAsk IndpntAuto Input Input [variable] text variable] Input " ", Input variable] inString( string substring start] int( value GInt( pmt1 pmt2 roundvalue] invNorm( area[ iPart( value A-12 Tables and Reference Information Result Sets table to ask for independent-variable values.
Page 369 Function or Instruction/ Arguments irr( CFList[ CFFreq] :IS>( variable value commandA commands Ù listname LabelOff LabelOn label lcm( valueA,valueB length( string Line( Line( Result Returns the interest rate at which the net present value of the cash flows is equal to zero. Increments variable by 1;...
Page 370 Function or Instruction/ Arguments LinReg(a+bx) [Xlistname Ylistname freqlist regequ] LinReg(ax+b) [Xlistname Ylistname freqlist regequ] LinRegTTest [Xlistname Ylistname freqlist alternative regequ] @List( list List 4 matr( listname1 listname n matrixname value LnReg [Xlistname Ylistname freqlist regequ] log( value A-14 Tables and Reference Information Result Fits a linear regression model to Xlistname and Ylistname...
Page 371 Function or Instruction/ Arguments Logistic [Xlistname Ylistname freqlist regequ] Matr 4 list( matrix listnameA listname n Matr 4 list( matrix column# listname max( valueA valueB max( list max( listA listB value,list max( mean( list[ freqlist] median( list[ freqlist] Med-Med [Xlistname Ylistname freqlist regequ]...
Page 372 Function or Instruction/ Arguments min( valueA valueB min( list min( listA listB min( value,list valueA valueB value list list value listA listB nDeriv( expression variable value[ 4Nom( effective rate compounding periods Normal A-16 Tables and Reference Information Result Returns smaller of valueA and valueB.
Page 373 Function or Instruction/ Arguments normalcdf( lowerbound upperbound[ normalpdf( not( value valueA valueB value list list value listA listB npv( interest rate CFList[ CFFreq] valueA valueB Result Computes the normal distribution probability between lowerbound and upperbound for the specified m and s . Computes the probability density function for the normal distribution at a specified x...
Page 374 Function or Instruction/ Arguments Output( column ," text Output( column value Param Pause Pause [value] Plot type Xlistname Ylistname mark Plot type Xlistname freqlist Plot type Xlistname freqlist mark Plot type datalistname data axis mark PlotsOff 1,2,3 PlotsOn 1,2,3 A-18 Tables and Reference Information Result ") Displays text beginning at...
Page 375 Function or Instruction/ Arguments Pmt_Bgn Pmt_End poissoncdf( poissonpdf( Polar complex value 4Polar PolarGC prgm name GPrn( pmt1 pmt2 roundvalue] prod( list[ start end] Prompt variableA variableB variable n Result Specifies an annuity due, where payments occur at the beginning of each payment period.
Page 376 Function or Instruction/ Arguments 1.PropZInt( confidence level] 2.PropZInt( confidence level] 1.PropZTest( alternative drawflag] 2.PropZTest( alternative drawflag] Pt.Change( Pt.Off( mark] Pt.On( mark] PwrReg [Xlistname Ylistname freqlist regequ] A-20 Tables and Reference Information Result Computes a one-proportion z confidence interval. Computes a two-proportion z confidence interval.
Page 377 Function or Instruction/ Arguments Pxl.Change( column Pxl.Off( column Pxl.On( column pxl.Test( column P4Rx( P4Ry( [Xlistname QuadReg Ylistname freqlist regequ] QuartReg [Xlistname Ylistname freqlist regequ] Radian rand numtrials numtrials prob randBin( numsimulations] Result Reverses pixel at (row,column); 0 row 62 and 0 ...
Page 378 Function or Instruction/ Arguments randInt( lower,upper [,numtrials] randM( rows columns randNorm( numtrials] Real real( value RecallGDB RecallPic 4Rect complex value RectGC ref( matrix A-22 Tables and Reference Information Result Generates and displays a random integer within a range specified by lower and upper integer bounds for a specified number of trials numtrials.
Page 379 Function or Instruction/ Arguments :Repeat condition commands :End commands Return value[ #decimals] round( ärow( value matrix row+( matrix rowA rowB ärow+( value matrix rowA rowB rowSwap( matrix rowA rowB rref( matrix R4Pr( R4Pq( Result Executes commands until condition is true. Returns to the calling program.
Page 380 Function or Instruction/ Arguments 2.SampÜTest [listname1 listname2 freqlist1 freqlist2 alternative drawflag] (Data list input) 2.SampÜTest alternative drawflag] (Summary stats input) 2.SampTInt [listname1 listname2 freqlist1 freqlist2 confidence level pooled] (Data list input) 2.SampTInt confidence level pooled] (Summary stats input) 2.SampTTest [listname1 listname2 freqlist1 freqlist2...
Page 381 Function or Instruction/ Arguments 2.SampTTest alternative pooled drawflag] (Summary stats input) 2.SampZInt( listname1 listname2 freqlist1 freqlist2 confidence level] (Data list input) 2.SampZInt( confidence level] (Summary stats input) s 1, s 2.SampZTest( listname1 listname2 freqlist1 freqlist2 alternative drawflag] (Data list input) s 1, s 2.SampZTest( alternative...
Page 382 Function or Instruction/ Arguments Send( variable seq( expression variable begin end[ increment] Sequential SetUpEditor listname1 SetUpEditor listname2 listname20] Shade( lowerfunc upperfunc[ Xleft Xright pattern patres] Shadec lowerbound upperbound A-26 Tables and Reference Information Result Sends contents of variable to the CBL 2/CBL System or CBR. Returns list created by evaluating expression with regard to variable, from begin...
Page 383 Function or Instruction/ Arguments ShadeÜ( lowerbound upperbound numerator df denominator df ShadeNorm( lowerbound upperbound[ Shade_t( lowerbound upperbound Simul value sin( value sinh( value sinh value Result Draws the density function for Û distribution specified by numerator df and denominator df and shades the area between lowerbound and upperbound.
Page 384 Function or Instruction/ Arguments SinReg [iterations Xlistname Ylistname period regequ] solve( expression variable guess lower upper SortA( listname SortA( keylistname dependlist1[ dependlist2 ..., dependlist n] SortD( listname SortD( keylistname dependlist1[ dependlist2 dependlist n] stdDev( list[ freqlist] Stop Store: value variable StoreGDB A-28 Tables and Reference Information Result...
Page 385 Function or Instruction/ Arguments StorePic String4Equ( string sub( string begin length sum( list[ start end] tan( value value Tangent( expression value tanh( value tanh value tcdf( lowerbound upperbound Text( column text1 text2 text n Then If:Then Result Stores current picture in picture Converts string into an equation and stores it in...
Page 386 Function or Instruction/ Arguments Time TInterval [listname freqlist confidence level] (Data list input) TInterval confidence level] (Summary stats input) tpdf( Trace m 0[ listname T-Test freqlist alternative drawflag] (Data list input) T-Test alternative drawflag] (Summary stats input) A-30 Tables and Reference Information Result Sets sequence graphs to plot with respect to time.
Page 387 Function or Instruction/ Arguments Ú æ tvm_FV Ú tvm_æ æ tvm_Ú Ú æ tvm_Pmt Ú æ tvm_PV uvAxes uwAxes 1-Var Stats [Xlistname freqlist] [Xlistname 2-Var Stats Ylistname freqlist] variance( list[ freqlist] Vertical vwAxes Result Computes the future value. Computes the annual interest rate.
Page 388 Function or Instruction/ Arguments :While condition commands :End command valueA valueB ZBox ZDecimal ZInteger ZInterval listname freqlist confidence level] (Data list input) ZInterval confidence level] (Summary stats input) Zoom In Zoom Out A-32 Tables and Reference Information Result Executes commands while condition is true.
Page 389 Function or Instruction/ Arguments ZoomFit ZoomRcl ZoomStat ZoomSto ZPrevious ZSquare ZStandard Result Recalculates Ymin Ymax to include the minimum and maximum values, between , of the Xmin Xmax selected functions and replots the functions. Graphs the selected functions in a user-defined viewing window.
Page 390 Function or Instruction/ Arguments ZNTest( listname freqlist alternative drawflag] (Data list input) ZNTest( ,s,v, alternative drawflag] (Summary stats input) ZTrig Factorial: value Factorial: list ¡ Degrees notation: value Radian: angle Transpose: matrix A-34 Tables and Reference Information Result Performs a z test with frequency freqlist.
Page 391 Function or Instruction/ Arguments ‡ root value root ‡ list ‡ list value ‡ listA listB Cube: value Cube root: ‡( value Equal: valueA valueB ƒ Not equal: valueA valueB Less than: valueA < valueB Result Returns x root of value. Returns x root of list elements.
Page 392 Function or Instruction/ Arguments Greater than: valueA > valueB Less than or equal: valueA valueB Greater than or equal: ‚ valueA valueB Inverse: value Inverse: list Inverse: matrix Square: value Square: list Square: matrix Powers: value power Powers: list power Powers: value list...
Page 393 Function or Instruction/ Arguments Powers: matrix power Negation: value Power of ten: value Power of ten: list Square root: ‡( value Multiplication: ä valueA valueB Multiplication: ä value list Multiplication: ä list value Multiplication: ä listA listB Multiplication: ä value matrix Multiplication: ä...
Page 394 Function or Instruction/ Arguments Addition: valueA valueB Addition: list value Addition: listA listB Addition: matrixA matrixB Concatenation: string1 string2 Subtraction: valueA valueB Subtraction: value list Subtraction: list value Subtraction: listA listB Subtraction: matrixA matrixB Minutes notation: degrees ¡ minutes seconds "...
Page 395: Menu Map
TI-83 Menu Map The TI.83 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 Plot3 Plot3 çY1=...
Page 396 ÚÁÄÄÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ZOOM MEMORY 1:ZBox 1:ZPrevious 2:Zoom In 2:ZoomSto 3:Zoom Out 3:ZoomRcl 4:ZDecimal 4:SetFactors… 5:ZSquare 6:ZStandard 7:ZTrig 8:ZInteger 9:ZoomStat 0:ZoomFit FORMAT ÚÁÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ (Func/Par/Pol modes) RectGC PolarGC CoordOn CoordOff GridOff GridOn AxesOn AxesOff LabelOff LabelOn ExprOn ExprOff CALC ÚÄÁÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ (Func mode) (Par mode) CALCULATE CALCULATE 1:value...
Page 397 LINK ÚÄÁÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ SEND 1:All+… 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:Back Up… … ÚÁÄÄÄÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ EDIT CALC 1:Edit… 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...
Page 398 LIST ÚÄÄÁÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄ¿ NAMES 1:listname 1:SortA( 2:listname 2:SortD( 3:listname 3:dim( 4:Fill( 5:seq( 6:cumSum( 7:@List( 8:Select( 9:augment( 0:List4matr( A:Matr4list( B:Ù ÚÁÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄ¿ MATH 1:4Frac 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… TEST ÚÄÄÁÄÄÄÄÄÄÄÄÄ¿...
Page 399 Ž ÚÁÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄ¿ NAMES MATH 1:[A] 1:det( 2:[B] 3:[C] 3:dim( 4:[D] 4:Fill( 5:[E] 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+( ÚÁÄÄÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ EXEC EDIT 1:name 1:name 2:name 2:name ÚÁÄÄÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ (PRGM editor) (PRGM editor) 1:If 1:Input...
Page 400 DRAW ÚÄÄÄÄÁÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ DRAW POINTS 1:ClrDraw 1:Pt-On( 2:Line( 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 ÚÁÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ 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… VARS ÚÁÄÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄ (Window…) (Window…) 1:Xmin 1:Tmin...
Page 401 VARS 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 VARS ÄÂÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄ (GDB…) (Picture…) GRAPH DATABASE PICTURE 1:GDB1 1:Pic1 2:GDB2 2:Pic2 9:GDB9 9:Pic9 0:GDB0 0:Pic0 VARS ÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄ (Statistics…) (Statistics…) 1:Gx 2:Gx 3:Sx 3:Gy 4:sx...
Page 402 VARS ÄÂÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ (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 A-46 Tables and Reference Information (Polar…) (On/Off…) POLAR ON/OFF 1:FnOn 2:FnOff...
Page 403 DISTR 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( FINANCE ÚÄÄÄÁÄÄÄÄÄÄÄÄÄÄÄÄ¿ VARS CALC 1:TVM Solver… 1:Ú 2:tvm_Pmt 2:æ 3:tvm_æ 3:PV 4:tvm_PV 4:PMT 5:tvm_Ú 5:FV 6:tvm_FV 6:P/Y 7:npv( 7:C/Y 8:irr(...
Page 404 MEMORY ÚÄÄÙ MEMORY (Check RAM…) 1:Check RAM… MEM FREE 27225 2:Delete… Real 3:Clear Entries Complex 4:ClrAllLists List 5:Reset… Matrix Y-Vars Prgm String MEMORY Reset ...) ÚÄÁÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ (Defaults…) (All Memory…) RESET MEMORY RESET DEFAULTS 1:No 1:No 2:Reset 2:Reset Resetting memory erases all data and programs.
Page 405: Variables
System Variables The variables below must be real numbers. You may store to them. Since the TI.83 can update some of them, as the result of a using these variables to store nongraphing data.
Page 406: Statistics Formulas
Statistics Formulas This section contains statistics formulas for the regressions, ANOVA 2.SampÜTest Logistic The logistic regression algorithm applies nonlinear recursive least-squares techniques to optimize the following cost function: which is the sum of the squares of the residual errors, where: This technique attempts to estimate the constants a, b, and c recursively to make J as small as possible.
Page 407 ANOVA( Û The mean squares (MS) that make up Û are: Factor MS Error MS The sum of squares (SS) that make up the mean squares are: Factor SS Error SS The degrees of freedom df that make up the mean squares are: Factor df Error df...
Page 408 2-SampÜTest Below is the definition for the SampÜTest SampÜTest SampÜTest must satisfy the following: where: 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. A-52 Tables and Reference Information Sx1, Sx2 = Sample standard deviations having -1 and n respectively.
Page 409 2-SampTTest The following is the definition for 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: otherwise: and Sxp is the pooled variance. Tables and Reference Information A-53 2.SampTTest .
Page 410: Financial Formulas
Financial Formulas This section contains financial formulas for computing time value of money, amortization, cash flow, interest-rate conversions, and days between dates. Time Value of Money where: where: The iteration used to compute i: where: where: where: where: A-54 Tables and Reference Information PMT ƒ...
Page 411 i ƒ 0 where: where: i = 0 PMT G i ƒ 0 where: where: i = 0 PMT G i ƒ 0 where: where: i = 0 Tables and Reference Information A-55 PMT G PMT G...
Page 412 Amortization If computing bal( ), pmt2 = npmt Let bal(0) = RND(PV) Iterate from m = 1 to pmt2 then: where: Balance, principal, and interest are dependent on the values of A-56 Tables and Reference Information RND RND i bal m bal m bal m bal pmt...
Page 413 Cash Flow where: S Net present value is dependent on the values of the initial cash flow (CF each cash flow (nj), and the specified interest rate (i). Internal rate of return is dependent on the values of the initial cash flow (CF Interest Rate Conversions where:...
Page 414 Days between With the within the range Jan. 1, 1950, through Dec. 31, 2049. Dates Actual/actual day-count method (assumes actual number of days per month and actual number of days per year): dbd( (days between dates) = Number of Days I = (Y1 - YB) Number of Days II = (Y2 - YB) where: A-58 Tables and Reference Information...
Page 415: General Information
General Information Contents Battery Information In Case of Difficulty Error Conditions Accuracy Information Support and Service Information Warranty Information General Information B-1 B-10 B-12 B-13...
Page 416: Battery Information
AAA batteries. When the battery voltage level drops below a usable level, the TI.83 displays this message when you turn on the unit. After this message is first displayed, you can expect the batteries to function for about one or two weeks, depending on usage.
Page 417 Replacing the To replace the batteries, follow these steps. Batteries 1. Turn off the calculator. Replace the slide cover over the 2. Hold the calculator upright. Place your thumb on the 3. Replace all four AAA alkaline batteries at the same 4.
Page 418: In Case Of Difficulty
(Chapter 18). 4. If the busy indicator (dotted line) is displayed, a graph or program has been paused; the TI.83 is waiting for input. Press Í to continue or press É to break. 5. If the calculator does not seem to work at all, be sure the batteries are fresh and that they are installed properly.
Page 419: Error Conditions
Error Conditions When the TI.83 detects an error, it displays 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 A function or instruction is archived and therefore cannot ARCHIVED VAR be executed or edited.
Page 420 Duplicate Name because a variable with that name already exists in the receiving unit. ¦ The TI.83 was unable to transmit an item. Check to see Error in Xmit that the cable is firmly connected to both units and that the receiving unit is in receive mode.
Page 421 Error Type Possible Causes and Suggested Remedies ¦ In INVALID (cont.) sequence without having input the correct number of initial conditions. ¦ In than ¦ You attempted to designate a graph style that is invalid within the current graph mode. ¦...
Page 422 CFO is > 0, or when neither CFList nor CFO is < 0. NONREAL ANS Real result. This error is not returned during graphing. The TI.83 allows for undefined values on a graph. OVERFLOW You attempted to enter, or you have calculated, a number that is beyond the range of the calculator.
Page 423 ¦ Window variables are too small or too large to graph correctly. You may have attempted to zoom in or zoom out to a point that exceeds the TI.83’s numerical range. ZOOM ¦ A point or a line, instead of a box, is defined in ¦...
Page 424: Accuracy Information
Accuracy Information Computational To maximize accuracy, the TI.83 carries more digits internally than it displays. Values are stored in memory Accuracy using up to 14 digits with a two-digit exponent. You can store a value in the window variables using up...
Page 425 Cursor coordinates are displayed as eight-character numbers (which may include a negative sign, decimal point, and exponent) when are updated with a maximum accuracy of eight digits. minimum calculated with a tolerance of 1 all eight displayed digits. For most functions, at least five accurate digits exist.
Page 426: Support And Service Information
For technical questions, call the Programming Assistance Group of Customer Support: phone: 1.972.917.8324 Customers outside the U.S., Canada, Puerto Rico, and the Virgin Islands Contact TI by e-mail or visit the TI e-mail: Internet: Product Service Customers in the U.S. and Canada Only Always contact Texas Instruments Customer Support before returning a product for service.
Page 427: Warranty Information
TI strongly recommends that you insure the product for value prior to mailing. Software. Software is licensed, not sold. TI and its licensors do not warrant that the software will be free from errors or meet your specific requirements. All software is provided “AS IS.”...
Page 428 TI strongly recommends that you insure the product for value if you mail it. Software. Software is licensed, not sold. TI and its licensors do not warrant that the software will be free from errors or meet your specific requirements.
Page 429 Index (addition), 2-3, A-38 cdf( (chi-square cdf), 13-31, A-3 pdf( (chi-square pdf), 13-31, A-4 .Test (chi-square test), 13-22, A-4 (colon), 6, 16-5 (concatenation), 15-6, A-38 (cube), 2-6, A-35 ‡( (cube root), 2-6, A-35 ¡ (degrees notation), 2-3, A-34 à (division), 2-3, A-37 (equal-to relational test), 2-25, A-35 (factorial), 2-21, A-34...
Page 430 . B . backing up calculator memory, 19-4, 19-10 (amortization balance), 14-9, A-3 bal( batteries, 1-2, B-2 ê below graph style ( ), 3-9 binomcdf( , 13-33, A-3 binompdf( , 13-33, A-3 Boolean logic, 2-26 box pixel mark ( ), 8-15, 12-34 ›...
Page 431 . D (continued) . (hyperbolic arccosine), 15-10, cosh cosine ( ), 2-3, A-5 cos( cross pixel mark ( ), 8-15, 12-34 cube ( ) , 2-6, A-35 cube root ( ‡( ), 2-6, A-35 CubicReg (cubic regression), 12-26, cubic regression ( CubicReg cumulative sum ( cumSum(...
Page 432 . D (continued) . drawing on a graph circles ( Circle( ), 8-11 functions and inverses ( DrawInv ), 8-9 lines ( Horizontal Line( 8-6, 8-7 line segments ( Line( ), 8-5 pixels ( Pxl.Change Pxl.Off pxl.Test ), 8-16 points ( Pt.Change Pt.Off 8-14...
Page 433 . E (continued) . examples—Getting Started (continued) quadratic formula converting to a fraction, 7 displaying complex results, 8 entering a calculation, 6 roots of a, 7-2 sending variables, 19-2 solving a system of linear equations, 10-2 unit circle, 9-2 volume of a cylinder, 16-2 examples—miscellaneous convergence, 6-12 daylight hours in Alaska, 12-28...
Page 434 , 13-34, A-10 geometpdf( , 13-34, A-10 (get data from CBL 2/CBL or Get( CBR), 16-21, A-10 (get data from TI.83), 16-21, GetCalc( A-10 getKey , 16-20, A-10 Getting Started, 1 to 18. See also examples, Getting Started Goto...
Page 435 8-6, 8-7 linking receiving items, 19-5 to a CBL 2/CBL System or CBR, 19-3 to a PC or Macintosh, 19-3 to a TI.82, 19-3, 19-8 transmitting items, 19-6 ), 14-8, A-13 two TI.83 units, 19-3 LINK RECEIVE LINK SEND...
Page 436 11-6, 12-11 indicator ( ), 11-4 naming lists, 11-3 storing and displaying, 11-4 transmitting to and from TI.82, 19-4 using in expressions, 11-9 using to graph a family of curves, 3-16, 11-5 using to select data points from a...
Page 437 . M (continued) . Õ modified box plot type ( mode settings, 1-9 i (complex rectangular), 1-12, 2-16, A-3 i (complex polar), 1-12, 2-16, A-22 Connected (plotting), 1-11, A-4 Degree (angle), 1-11, 2-24, A-6 (plotting), 1-11, A-7 (notation), 1-10, A-8 (decimal), 1-10, A-8 (decimal), 1-10, A-8 Float...
Page 438 . P (continued) . , 16-12, A-18 Pause pausing a graph, 3-15 , 8-13 permutations ( ), 2-21, A-17 phase plots, 6-13 Pi ( ), 2-4 (pictures), 8-17, 8-18 pictures ( ), 8-17, 8-18 pixel, 8-16 pixels in Horiz modes, 8-16, 9-6 Plot1( , 12-34, A-18 , 12-34, A-18...
Page 439 . P (continued) . (present value variable), 14-4, 14-14 p-value, 13-28 PwrReg (power regression), 12-27, A-20 Pxl.Change( , 8-16, A-21 Pxl.Off( , 8-16, A-21 Pxl.On( , 8-16, A-21 pxl.Test( , 8-16, A-21 (number-of-payment-periods-per- year variable), 14-4, 14-14 . Q . (quadratic regression), QuadReg 12-25, A-21...
Page 440 6-9 nonrecursive sequences, 6-5 phase plots, 6-13 recursive sequences, 6-6 setting sequence mode, 6-3 selecting and deselecting, 6-4 TI.83 versus TI.82 table, 6-15 tracing, 6-9 web plots, 6-11 window variables, 6-7 editor, 6-4 ZOOM...
Page 441 . S (continued) . stat list editor (continued) editing elements of formula- generated lists, 12-16 editing list elements, 12-13 enter-names context, 12-19 entering list names, 12-11 formula-generated list names, 12-15 removing lists, 12-12 restoring list names 12-21 switching contexts, 12-17 view-elements context, 12-18 view-names context, 12-19 menu, 12-34...
Page 442 5-6, 6-9 expression display, 3-14, 3-18 Trace A-30 transmitting error conditions, 19-6 from a TI.82 to a TI.83, 19-9 items to another unit, 19-6 lists to a TI.82, 19-4, 19-8 stopping, 19-6 to an additional TI.83, 19-7 (transpose matrix), 10-12, A-34...
Page 443 . T (continued) . turning on and off axes, 3-14 calculator, 1-2 coordinates, 3-14 expressions, 3-14 functions, 3-7 grid, 3-14 labels, 3-14 pixels, 8-16 points, 8-14 stat plots, 3-7, 12-35 (future value), 14-7, A-31 tvm_FV tvm_I% (interest rate), 14-7, A-31 (# payment periods), 14-7, A-31 tvm_Ú...
Page 444 . X . zoom factor, 3-24 XFact x-intercept of a root, 3-26 (Boolean) exclusive or operator, 2-26, A-32 ‡ root ( ), 2-6 Ó xyLine ) plot type, 12-31 window variable, 3- . Y . YFact zoom factor, 3-24 editor function graphing, 3-5 parametric graphing, 4-4 polar graphing, 5-3...

This manual is also suitable for:

83cml/ili/u - 83 plus graphics calc

Texas Instruments TI-83 Manual Book

Table of Contents

Table of Contents

1 Operating

2 Math, Angle, and Test Operations

3 Function Graphing

6 Sequence Graphing

8 Draw Instructions

10 Matrices

11 Lists

12 Statistics

13 Inferential Statistics and Distributions

14 Financial Functions

15 Catalog, Strings, Hyperbolic Functions

16 Programming

17 Applications

18 Memory Management

19 Communication Link

Chapter 19 Link

Appendix A

Quick Links

Chapters

Related Manuals for Texas Instruments TI-83

Summary of Contents for Texas Instruments TI-83