Texas Instruments MathPrint TI-30X Pro Manual Book
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Texas Instruments MathPrint TI-30X Pro Manual Book

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TI-30X Pro MathPrint™
Scientific Calculator Guidebook
This guidebook applies to software version 1.0. To view the latest version of the
documentation, go to education.ti.com/eguide.

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Summary of Contents for Texas Instruments MathPrint TI-30X Pro

  • Page 1 TI-30X Pro MathPrint™ Scientific Calculator Guidebook This guidebook applies to software version 1.0. To view the latest version of the documentation, go to education.ti.com/eguide.
  • Page 2 "as-is" basis. In no event shall Texas Instruments be liable to anyone for special, collateral, incidental or consequential damages in connection with...

  • Page 3: Table Of Contents

    Contents Getting Started Switching the Calculator On and Off Display Contrast Home Screen 2nd Functions Modes Multi-Tap Keys Menus Examples Scrolling Expressions and History Answer Toggle Last Answer Order of Operations Clearing and Correcting Memory and Stored Variables Math Functions Fractions Percentages Scientific Notation [EE]...
  • Page 4 Number Bases Expression Evaluation Constants Conversions Complex Numbers Reference Information Errors and Messages Battery Information Troubleshooting General Information Online Help Contact TI Support Service and Warranty Information...

  • Page 5: Getting Started

    Getting Started This section contains information about basic calculator functions. Switching the Calculator On and Off & turns on the calculator. % ' turns it off. The display is cleared, but the history, settings, and memory are retained. The APD™ (Automatic Power Down™) feature turns off the calculator automatically if no key is pressed for about 3 minutes.

  • Page 6: 2Nd Functions

    Indicator Definition DEG, RAD, Angle mode (degrees, radians, or gradians). (See GRAD Mode section.) L1, L2, L3 Displays above the lists in data editor. H, B, O Indicates HEX, BIN, or OCT number-base mode. No indicator displayed for default DEC mode. The calculator is performing an operation.
  • Page 7 DEGREE RADIAN GRADIAN - Sets the angle mode to degrees, radians, or gradians. - Sets the numeric notation mode. Numeric notation modes NORMAL affect only the display of results, and not the accuracy of the values stored in the unit, which remain maximal.

  • Page 8: Multi-Tap Keys

    MathPrint™ Mode Classic Mode Float mode and answer toggle Float mode and answer toggle key. Fix 2 and answer toggle key Fix 2 Un/d Un/d entry Exponent example Exponent example Square root example Square root example Cube root example Cube root example Multi-Tap Keys A multi-tap key is one that cycles through multiple functions when you press it.

  • Page 9: Menus

    Multi-tap keys include z, X, Y, Z, C, D, H, and g. Applicable sections of this guidebook describe how to use the keys. Menus Menus give you access to a large number of calculator functions. Some menu keys, such as % h, display a single menu. Others, such as d, display multiple menus.

  • Page 10: Scrolling Expressions And History

    • Some screen elements may differ from those shown in this document. • Since wizards retain their memory, some keystrokes may be different. Scrolling Expressions and History ! " # $ Press ! or " to move the cursor within an expression that you are entering or editing. Press % ! or % "...

  • Page 11: Last Answer

    r is also available to toggle number formats for values in cells in the Function Note: Table and in the Data Editor. Editors such as in matrix, vector and system solver will display toggled cell values. Last Answer The last entry performed on the home screen is stored to the variable ans . This variable is retained in memory, even after the calculator is turned off.
  • Page 12 In MathPrint™ mode, exponentiation using the G key is evaluated from right to left. The expression 2^3^2 is evaluated as 2^(3^2), with a result of 512. The calculator evaluates expressions entered with F and a from left to right in both Classic and MathPrint™...

  • Page 13: Clearing And Correcting

    T M 8 T 12 < % b 9 T 16 < ‡ and + V ( 2 T 3 ) < ( 2 T 3 ) < ( ) and + % b 3 G 2 " T 4 ^ and ‡...

  • Page 14: Memory And Stored Variables

    Returns the calculator to default settings; clears memory variables, pending operations, all entries in history and statistical data; clears any stored operation and ans . Memory and Stored Variables The TI-30X Pro MathPrint™ calculator has 8 memory variables— x , y , z , t , a , b , c , and d . You can store the following to a memory variable: •...
  • Page 15 Store < Recall < F < L z z < < W 4 < ³ Problem In a gravel quarry, two new excavations have been opened. The first one measures 350 metres by 560 metres, the second one measures 340 metres by 610 metres. What volume of gravel does the company need to extract from each excavation to reach a depth of 150 metres? To reach 210 metres? Display the results in engineering notation.
  • Page 16 V 610 L z z < V % h < < V % h < < For the first excavation, the company needs to extract 29.4 million cubic metres to reach a depth of 150 metres, and extract 41.16 million cubic metres to reach a depth of 210 metres.

  • Page 17: Math Functions

    Math Functions This section contains information about using the calculator maths functions such as trigonometry, statistics and probability. Fractions Fractions with P can include real and complex numbers, operation keys (T, V, etc.), and most function keys (F, % _, etc.). In Classic mode or classic entries in MathPrint™...
  • Page 18 On the Home Screen • To paste a previous entry from history in the numerator or mixed number unit, place the cursor in the numerator or unit, press # to scroll to the desired entry, and then press < to paste the entry to the numerator or unit. •...

  • Page 19: Percentages

    Examples in Classic Mode P 4 T 1 % @ 7 P n/d, Un/d < P 2 d 1 < 4n/d³´Un/d % @ 1 P 2 % f³´d j < ( 2 F U 1 ) P ( 2 Brackets F T 1 ) <...

  • Page 20: Scientific Notation [Ee]

    V 280 < The two extractions represent a total of 317.9 tonnes of metal for a total value of 89012 units of currency. Scientific Notation [EE] E is a shortcut key to enter a number in scientific notation format. A number such as (1.2 x 10 ) is entered in the calculator as the number 1.2E-4.

  • Page 21: Powers, Roots And Inverses

    Powers, Roots and Inverses Calculates the square of a value. Raises a value to the power indicated. Use " to move the cursor out of the power in MathPrint™ mode. Calculates the square root of a non-negative value. In complex number modes, a+bi and r±q, calculates the square root of a negative real value.

  • Page 22: Math

    Example V g < ³ Problem What is the area of a circle if the radius is 12 cm? Reminder: A = p×r g V 12 F < The area of the circle is 144 p square cm. The area of the circle is approximately 452.4 square cm when rounded to one decimal place.

  • Page 23: Number Functions

    mode. Syntax: nDeriv( expression , variable , point [, tolerance ] ) (Classic mode syntax) 8:fnInt( Numerical integral over an interval with optional tolerance argument, H, when command is used in Classic mode, classic entry, and in MathPrint™ mode. Syntax: fnInt( expression , variable , lower , upper [, tolerance ] ) (Classic mode syntax) Examples...
  • Page 24 1:abs( Absolute value Syntax: abs( value ) 2:round( Rounded value Syntax: round( value , #decimals ) 3:iPart( Integer part of a number Syntax: iPart( value ) 4:fPart( Fractional part of a number Syntax: fPart( value ) 5:int( Greatest integer that is { the number Syntax: int( value ) 6:min( Minimum of two numbers...

  • Page 25: Angles

    d " 8 mod( % ` 12 ) < # # < ! ! 6 < Angles d DMS d " " displays the DMS menu: 1:¡ Specifies the angle unit modifier as degrees (¡). 2:¢ Specifies the angle unit modifier as minutes (¢). 3:£...
  • Page 26 d " " 6 < 4DMS ³ Problem Two adjacent angles measure 12¡ 31¢ 45£ and 26¡ 54¢ 38£ respectively. Add the two angles and display the result in DMS format. Round the results to two decimal places. - q $ $ " " " < - 12 d "...

  • Page 27: Rectangular To Polar

    q " < - X g P 6 " ) < Retain radian mode on the calculator and calculate the sine of 30¡. Change the calculator to degree mode and find the sine of p / 6 radians. - X 30 d " " < ) < q <...

  • Page 28: Trigonometry

    d ! 3 % ` 4 ) < d ! 4 % ` 4 ) < Converting (r,q) = (5,30) gives ( x , y ) = ( ) and ( x , y ) = (3,4) gives (r,q) = (5.0,53.1). Trigonometry Z (multi-tap keys) Pressing one of these multi-tap keys repeatedly lets you access the corresponding...
  • Page 29 V Y g P 4 " ) < ³ Problem Find angle A of the right triangle below. Then calculate angle B and the length of the hypotenuse c . Lengths are in metres. Round results to one decimal place. Reminder: tan A = therefore m ±A = tan...

  • Page 30: Hyperbolics

    q < $ $ " " < To one decimal place, the measure of angle A is 66.8¡, the measure of angle B is 23.2¡, and the length of the hypotenuse is 7.6 metres. Hyperbolics Z (multi-tap keys) Pressing one of these multi-tap keys repeatedly lets you access the corresponding hyperbolic or inverse hyperbolic function.

  • Page 31: Numerical Derivative

    C C pastes 10 to the power function. Examples D D 1 ) < D 5 ) V 2 < › C C D D ) < D D C C " ) < › C .5 < Numerical Derivative The TI-30X Pro MathPrint™...

  • Page 32: Numerical Integral

    with optional tolerance Classic Mode or Entry In Classic mode or in classic edit lines, the nDeriv( command will paste from the keypad or MATH menu. Syntax: nDeriv( expression , variable , point [, tolerance ] ) where tolerance is optional and the default H is 1EM5.
  • Page 33 MathPrint™ Mode % Q pastes the numerical integral template from the keypad to calculate the numerical integral on a given interval with the default tolerance H is 1EM5. Example in RADIAN Angle Mode q " < " g " " z X z ) "...

  • Page 34: Statistics, Regressions And Distributions

    % Q M 2 " 0 " M z F T 4 " r < # # < % ! " 0 J " 2 < Notice that both areas are equal. Since this is a parabola with the vertex at (0,4) and zeros at (M2,0) and (2,0) you see that the symmetric areas are equal.
  • Page 35 included. 3:2-VAR STATS Analyses paired data from 2 data sets with 2 measured variables— x , the independent variable, and y , the dependent variable. Frequency data may be included. 2-Var Stats also computes a linear Note: regression and populates the linear regression results.
  • Page 36 :expReg ae^(b x ) Fits the model equation y=a e^(bx) to the data using least squares fit on linearised data for at least two data points. It displays values for a and ; it also displays values for r and r . % u "...
  • Page 37 (m), which must be a real number > 0. x can be an non-negative integer (SINGLE) or a list of integers (LIST). The default is mu =1. The probability density function ( pdf ) is: 7:Poissoncdf Computes a cumulative probability at x for the discrete Poisson distribution with the specified mean mu , which must be a real number >...
  • Page 38 Variables 1-Var or 2-Var Definition 1-Var Median of the elements between Med and maxX (3rd quartile). or maxY 2-Var Minimum or maximum of y minY values. To define statistical data points: 1. Enter data in L1, L2, or L3. (See Data Editor section.) Note: Non-integer frequency elements are valid.
  • Page 39 V 2 < 2-Var Example Data: (45,30); (55,25). Find: x¢(45). Clear all data v v $ $ $ < 45 $ 55 $ " 30 $ Data Stat (Selects 2-VAR STATS ) $ $ $ < % s StatVars % u 1 # # # # # # <...
  • Page 40 (12)(1)+ (13)(0.5)+ (10)(1)+ (11)(0.5) Σx 1 + 0.5 + 1 + 0.5 3. The teacher gave Anthony 4 more points on test 4 due to a grading error. Find Anthony’s new average grade. v v $ $ $ < v " $ $ $ $ <...
  • Page 41 If the teacher adds 4 points to Test 4, Anthony’s average grade is 12. ³ Problem The table below gives the results of a braking test. Test No. Speed (kph) Braking distance (m) 5.30 14.45 20.21 38.45 Use the relationship between speed and braking distance to estimate the braking distance required for a vehicle travelling at 55 kph.
  • Page 42 < 55 ) < The linear model gives an estimated braking distance of 18.59 metres for a vehicle travelling at 55 kph. Regression Example 1 Calculate an ax+b linear regression for the following data: {1,2,3,4,5}; {5,8,11,14,17}. Clear all data v v $ $ $ Data <...
  • Page 43 $ 1 $ 2 $ 3 $ 4 Data $ " 10 $ 14 $ 23 $ $ 48 < Regression Save the < $ $ $ " regression < equation to f(x) in the I menu. Regression < Equation Find the average value (Selects StatVars )

  • Page 44: Probability

    Distribution Example Compute the binomial pdf distribution at x values {3,6,9} with 20 trials and a success probability of 0.6. Enter the x values in list L1, store the results in L2, and then find the sum of the probabilities and store in the variable t . v v $ $ $ Clear all data...
  • Page 45 A factorial , n!, is the product of the positive integers from 1 to n . The value of n must be a positive whole number { 69. When n = 0, n! = 1 Calculates the number of possible combinations given n and r , non-negative integers.
  • Page 46 % † 1 < rand % † 2 randint( % ` 5 ) < ³ Problem An ice cream store advertises that it makes 25 flavours of home made ice cream. You like to order three different flavours in a dish. How many combinations of ice cream can you test over a very hot summer? H H 3 <...

  • Page 47: Math Tools

    Math Tools This section contains information about using the calculator tools such as data lists, functions and conversions. Stored Operations % n lets you store an operation. % m pastes an operation to the home screen. To set an operation and then recall it: 1.

  • Page 48: Data Editor And List Formulas

    Redefine op % n - < Recall op ³ Problem A local store allows you to earn loyalty points that you can redeem for various gifts. The store adds 35 points to your mobile app for every visit. You would like to get a music download which costs 275 points.
  • Page 49 2:Clear L2 2:Clear L1 Frmla 2:Sort Lg-Sm... 3:Clear L3 3:Clear L2 Frmla 3:Sequence... 4:Clear ALL 4:Clear L3 Frmla 4:Sum List... 5:Clear ALL Entering and Editing Data • Use ! " # $ to highlight a cell in the data editor and then enter a value. •...
  • Page 50 • Sum the elements in a list and store to a variable for further investigation. Example v v 4 v 1 P 4 $ P 4 $ P 4 $ P 4 < " v " Formula < < % j <...
  • Page 51 < " " " < < ³ Problem On a November day, a weather report on the Internet listed the following temperatures. Paris, France 8¡C Moscow, Russia M1¡C Montreal, Canada 4¡C Convert these temperatures from degrees Celsius to degrees Fahrenheit. (See also the section on Conversions.) Reminder: F = C + 32...

  • Page 52: Function Table

    ! $ $ $ 21 < # " < % " L z z z < % h $ $ Function Table I displays a menu with the following options: 1:Add/Edit Func Lets you define the function f( x ) or g( x ) or both and generates a table of values.
  • Page 53 overwrite the x values as needed to see more results. In the Function Table view, press - to display and edit the Table Setup wizard Note: as needed. ³ Problem Find the vertex of the parabola, y = x (36 - x ) using a table of values. Reminder: The vertex of the parabola is the point on the parabola that is also on the line of symmetry.

  • Page 54: Matrices

    Input each guess and press <. Calculate the value of f(8) on the Home screen. % s I Selects f( ) < The support of £450 per month will last for 8 months since y (8) = 3600 - 450(8) = 0 as shown in the table of values.
  • Page 55 % t NAMES % t displays the matrix NAMES menu, which shows the dimensions of the matrices and lets you use them in calculations. The row and column dimension of a matrix can be 1{row{3 and 1{column{3. 1:[A] Definable matrix [A]. 2:[B] Definable matrix [B].
  • Page 56 % t ! Define [A] < " < " < dimensions < Enter values 1 $ 2 $ 3 $ 4 $ det([A]) % t " < % t < ) < % t < Transpose % t " $ < <...

  • Page 57: Vectors

    < % t < ) < Vectors In addition to those in the Vector MATH menu, the following vector operations are allowed. Dimensions must be correct: • vector + vector • vector – vector • Scalar multiplication (for example, 2 × vector ) •...
  • Page 58 magnitude Syntax: norm( vector ) % [vector] EDIT % [vector] ! displays the vector EDIT menu, which lets you define or edit vector [u], [v], or [w]. Press r to toggle the number format in a cell as needed. Note: Example Define vector [u] = [ 0.5 8 ].

  • Page 59: Solvers

    % [vector] < % [vector] $ < ) < V 2 T 8 V 3 < DotP is calculated Note: here in two ways. norm % [vector] " $ $ < % [vector] $ < ) < % b 2 F T 3 F " <...
  • Page 60 Initial Variable < Value P 2 " < P 3 " < P 4 " < " " Select Solution Variable < $ $ Solution Bounds Enter the interval where you expect the solution as [ LOWER , UPPER ] if needed.
  • Page 61 Enter < coefficients < < Solutions If you choose to Note: store the polynomial to f(x) or g(x), you can use I to study the table of values. $ $ $ < Vertex form (quadratic solver only) On the solution screens of the polynomial solver, you can press r to toggle the number format of the solutions x1, x2 for quadratic, or x1, x2, and x3 for cubic.
  • Page 62 Example 2×2 System Solve: − % ‹ Sys-solv 2×2 < system P 3 < < Enter equations P 3 < P 90 < P 5 < U 1 P 5 < P 75 < < Solution Change number format (if needed) <...
  • Page 63 4x + 3y + 5z = 4 2x + 4y – 2z = 14 % ‹$ Sys-solv 3×3 system < < M 2 < 3 < Enter M 9 < coefficients < 3 < 5 < 4 < < 4 < M 2 < <...

  • Page 64: Number Bases

    < 4 < 6 < 8 < < 6 < 9 < 12 < Solution < < < < < Number Bases % — Base Conversion % — displays the CONVR menu, which converts a real number to the equivalent in a specified base.
  • Page 65 Designates a decimal number. Designates an octal integer. Examples in DEC Mode Mode can be set to DEC, BIN, OCT, or HEX. See the Mode section. Note: d 8 Hex % — 1 < h 8 Bin % ¬ % ¬ % —...

  • Page 66: Expression Evaluation

    < 1010 BIN mode: % — ! 3 , xnor 11111 < 10101 % — ! 4 11111 < 10101 HEX mode: q $ $ $ $ , 2’s " < % — ! 6 % ¬ % ¬ ) <...

  • Page 67: Constants

    < - % b 27 < % ‡ < - % b 40 < - % b 45 " g g g < Constants Constants lets you access scientific constants to paste in various areas of the TI-30X Pro MathPrint™ calculator. Press % Œ to access, and ! oro" to select either the NAMES or UNITS menus of the same 20 physical constants.

  • Page 68: Conversions

    Constant Value used for calculations mole ideal gas constant 8.3144598 Joules per mole per Kelvin M 31 electron mass 9.10938356×10 kilograms M 27 proton mass 1.672621898×10 kilograms M 27 neutron mass 1.674927471×10 kilograms M 28 muon mass 1.883531594×10 kilograms µ M 11 universal gravitation 6.67408×10...
  • Page 69 English-Metric Conversion inches to centimetres 4 cm 4 in centimetres to inches feet to metres metres to feet 4 ft yards to metres 4 yd metres to yards miles to kilometres mile 4 km kilometres to miles 4 mile acres to square metres acre square metres to acres 4 acre...
  • Page 70 parsecs to metres 4 pc metres to parsecs Angstrom to metres metres to Angstrom 4 Ang Power and Energy Conversion Joules to kilowatt hours 4 kWh kilowatt hours to Joules Joules to calories 4 cal calories to Joules 4 kW horsepower to kilowatt kilowatt to horsepower 4 hp...

  • Page 71: Complex Numbers

    Power, Energy ( 200 ) % – $ $ $ $ < " < < Complex Numbers % ˆ The calculator performs the following complex number calculations: • Addition, subtraction, multiplication and division • Argument and absolute value calculations • Reciprocal, square and cube calculations •...
  • Page 72 Complex Menu Description 1:± ± (polar angle character) Lets you paste the polar representation of a complex number (such as 5±p). 2:polar angle Returns the polar angle of a complex number. Syntax: angle( value ) 3:magnitude Returns the magnitude (modulus) of a complex number.
  • Page 73 Conjugate: conj( % ˆ 6 U 6 g g g ) < Real: % ˆ 7 real( U 6 g g g ) < Math Tools...

  • Page 74: Reference Information

    Reference Information This section contains information about errors, maintaining and replacing the batteries, and troubleshooting problems. Errors and Messages When the calculator detects an error, the screen will display the error type or a message. • To correct an error: Press - to clear the error screen. The cursor will display at or near the error.
  • Page 75 Error/Message Description Division This error is returned if the expression evaluation contains division by 0. by 0 Domain This error is returned when an argument is not in the function domain. For example: • For x ‡ y : x = 0 –...
  • Page 76 Error/Message Description Input must be This error is returned when an input is not the expected number type. For example, in non-negative distribution arguments TRIALS and x in Integer. Binomialpdf. Input This error is returned when an input requires a real number.
  • Page 77 Error/Message Description not have a sign change around the root which is essential for the numeric solver algorithm to iterate to a solution. [2nd] [set op]: This error is returned when an operation has not been defined in % n and % m is Operation pressed.

  • Page 78: Battery Information

    Battery Information Battery Precautions • Do not leave batteries within reach of children. • Do not mix new and used batteries. • Do not mix brands (or types within brands) of batteries. • Do not use rechargeable batteries. • Do not place non-rechargeable batteries in a battery charger. •...

  • Page 79: Troubleshooting

    See: www.dtsc.ca.gov/hazardouswaste/perchlorate Troubleshooting Review instructions to make sure that certain calculations were performed properly. Check the batteries to ensure that they are fresh and properly installed. Change the batteries when: & does not turn the unit on, or • • the screen goes blank, or •...

  • Page 80: General Information

    General Information Online Help education.ti.com/eguide Select your country for more product information. Contact TI Support education.ti.com/ti-cares Select your country for technical and other support resources. Service and Warranty Information For information about the length and terms of the warranty or about product service, refer to the warranty statement enclosed with this product or contact your local Texas Instruments retailer/distributor.

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