Casio FX-991ES User Guide

Casio FX-991ES Manual

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  • Casio FX-991ES | User Guide - Page 1
    E fx-115ES fx-991ES User's Guide http://world.casio.com/edu/ RCA502160-001V01
  • Casio FX-991ES | User Guide - Page 2
    CASIO Europe GmbH Bornbarch 10, 22848 Norderstedt, Germany
  • Casio FX-991ES | User Guide - Page 3
    About this Manual • The MATH mark indicates an example that uses Math format, the function. • The following shows an example of how an alternate function operation is represented in this User's Guide. Example: 1s(sin-1)1= Indicates the function that is accessed by the key operation (1s) before it.
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    • The displays and illustrations (such as key markings) shown in this User's Guide and the separate Appendix are for illustrative purposes only, and may differ somewhat from the actual items they represent. • The contents of this manual are subject to change without notice. • In no event shall CASIO
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    k and negative l ends are facing correctly when you load it into the calculator. • Use only the type of battery specified for this calculator in this manual. Disposing of the Calculator • Never dispose of the calculator by burning it. Doing so can cause certain components to suddenly burst, creating
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    in areas subjected to temperature extremes. Very low temperatures can cause slow display response, total failure of the display, and shortening of battery life. Also avoid leaving the calculator in direct sunlight, near a window, near a heater or anywhere else it might be exposed to very high
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    . k Turning Power On and Off • Press O to turn on the calculator. • Press 1A(OFF) to turn off the calculator. k Adjusting Display Contrast 1N(SETUP)c6(]CONT') This displays the contrast adjustment screen. Use d and e to adjust display contrast. After the setting is the way you want, press A. • You
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    { Calculation result k Display Indicators Sample Display: calculator is in the MATRIX Mode. The calculator is in the VECTOR Mode. The default angle unit is degrees. The default angle unit is radians. The default angle unit is grads. A fixed number of decimal places is in effect. A fixed number
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    this type of operation: General calculations Complex number calculations Statistical and regression calculations Calculations involving specific number systems (binary, octal, decimal, hexadecimal) Equation solution Matrix calculations Generation of a number table based on an expression Vector
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    this key operation: 1N6(Fix)0-9 1N7(Sci)0-9 1N8(Norm)1(Norm1) or 2(Norm2) Calculation Result Display Examples • Fix: The value you specify (from 0 to 9) controls the number of decimal places for displayed calculation results. Calculation results are rounded off to the specified digit before being
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    (Norm2) Specifying the Fraction Display Format To specify this fraction display format: Mixed Improper Perform this key operation: 1Nc1(ab/c) 1Nc2(d/c) Specifying the Complex Number Display Format To specify this complex Perform this key operation: number format: Rectangular Coordinates 1Nc3
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    mode and other setup settings as shown below. 19(CLR)1(Setup)=(Yes) This setting: Calculation Mode Input/Output Format Angle Unit Display Digits Fraction Display Format Complex Number Format Statistical Display Decimal Point Is initialized to this: COMP MthIO Deg Norm1 d/c a+bi OFF Dot • To
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    or random number: 20 × A, 2 × π, 2 × i, etc. Final Closed Parenthesis You can omit one or more closed parentheses that come at the end of a calculation, immediately before the = key is pressed. For details, see "Omitting a Final Closed Parenthesis". Displaying a Long Expression The display can show
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    ( ) flashing line on the display screen. When there are 10 or fewer bytes of input remaining in the current expression, the cursor changes shape to I to let you know. If the I cursor appears, terminate the expression at a convenient point and calculate the result. k Correcting an Expression
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    Function Example: To correct the expression 369 × × 12 so it becomes 369 × 12 LINE Insert Mode: 369**12 dd Y Overwrite Mode: 369**12 ddd Y Correcting a Calculation Example: To correct cos(60) so it becomes sin(60) LINE Insert Mode: c60) dddY s Overwrite Mode: c60) dddd s Inserting Input into
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    the error. d1 = You can also exit the error screen by pressing A, which clears the calculation. k Inputting with Math Format When inputting with Math format, you can input and display fractions and some functions using the same format as they appear in your textbook. Important! • Certain types
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    number of bytes of memory that are used up by input. Function/Symbol Improper Fraction Mixed Fraction log(a,b) (Logarithm) 10^x (Power of 10) e^x (Power of e) Square Root Cube Root Square, Cube Reciprocal Power Power Root Integral Derivative Σ Calculation cursor on the display when you input using
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    • When you press = and obtain a calculation result using Math format, part of the Math Move the cursor to here. Math 1Y(INS) This changes the shape of the cursor as shown here. Math ! This particular value or fraction (instead of an open parentheses), that value or fraction will be incorporated
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    in a form that includes expressions like '2 and π (irrational number form). • Pressing = after inputting a calculation displays the result using irrational number form. • Pressing 1= after inputting a calculation displays the result using decimal values. Note • When "LineIO" is selected for the
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    3 Input Value Range for ' Form Calculation Result ȊxȊ < 9 × 109 ȊxȊ < 20π ȊxȊ < 10000 Calculation results may be displayed in decimal form for input values outside of the above ranges. k ' Form Calculation Range Note When performing complex number calculations in the CMPLX Mode, the following
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    be used. Reasons why the results of the examples are displayed in decimal form - Value outside of the allowable range - More than two terms in the calculation result • Calculation results displayed in ' form are reduced to a common denominator. a'b + c d'e f → a′'b + d′'e c′ • c′ is the least
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    cannot be displayed as a root (') form or a fraction, the calculation result is displayed in decimal form. Example: log3 + '2 = 1.891334817 Basic Calculations (COMP) This section explains how to perform arithmetic, fraction, percent, and sexagesimal calculations. All calculations in this
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    total number of digits used for a mixed fraction (including integer, numerator, denominator, and separator symbols) is greater than 10, the value is automatically displayed in decimal format. • The result of a calculation that involves both fraction and decimal values is displayed in decimal format
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    • The format of the fraction depends on the currently selected fraction display format setting (improper fraction or mixed fraction). • You cannot switch from decimal format to mixed fraction format if the total number of digits used in the mixed fraction (including integer, numerator, denominator
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    3°00´00˝ Converting Values between Sexagesimal and Decimal Pressing e while a calculation result is displayed toggles the value between sexagesimal and decimal. Appendix Convert 2.255 to its sexagesimal equivalent. Using Multi-statements in Calculations You can use the colon character (:) to
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    are cleared whenever you turn off the calculator, press the O key, change to the calculation mode or the input/output format, or perform any reset operation. • Calculation history memory is limited. When the calculation you are performing causes calculation history memory to become full, the oldest
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    Memory contents are maintained even if you press the A key, change the calculation mode, or turn off the calculator. • If a CMPLX Mode calculation produces a complex number result, both the real part and imaginary part are stored in Answer Memory. In this case, however, the imaginary part will be
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    key operation for inserting the M variable. Sm(M) • The "M" indicator appears in the upper left of the display when there is any value other than zero stored in independent memory. • Independent memory contents are maintained even if you press the A key, change the calculation mode, or turn off the
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    display. k Variables (A, B, C, D, X, Y) Variable Overview • You can assign a specific value or a calculation you press the A key, change the calculation mode, or turn off the calculator. Appendix Clearing the procedure to clear the contents of Answer Memory, independent memory, and all of
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    Using CALC The CALC feature lets you input a calculation expression that contains variables, and then assign values to the variables and perform the calculation. You can use CALC in the COMP Mode (N1) and in the CMPLX Mode (N2). k Expressions Supported by CALC The following describes the types of
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    A. • If the expression you are using contains more than one variable, an input prompt appears for each one. Appendix Calculate an +1 = an + 2n (a1 = 1) as the value of an changes from a2 to a5. (Results: a2 = 3, a3 = 7, a4 = 13, a5 = 21) *1 Assigns 1 to a1. *3 Value of a2 *5 Assigns 2 to
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    Using SOLVE • SOLVE may not be able to obtain a solution because of the initial value (assumed value) of the solution variable. If this happens, try changing the initial value of the solution variable. • SOLVE may not be able to determine the correct solution, even when one exists. E-30
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    only one of them will be returned. • Newton's Method can have problems obtaining solutions for the following types of functions. - A periodic function Screen SOLVE performs convergence a preset number of times. If it cannot find a solution, it displays a confirmation screen that shows "Continue
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    mode except for BASE-N. k Trigonometric and Inverse Trigonometric Functions • Trigonometric and inverse trigonometric functions can be used in the COMP, STAT, EQN, MATRIX, TABLE, and VECTOR calculation modes. They can also be used in the CMPLX Mode, as long as complex numbers are not used for their
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    display the angle unit specification menu shown below. Press the number key that corresponds to the angle unit of the input value. The calculator will automatically convert it to the calculator a base of 10 is used for the calculation. • "ln(" is a natural logarithm function with base e. • You can
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    root functions can be used in the COMP, STAT, EQN, MATRIX, TABLE, and VECTOR calculation modes. • The X2, X3, X-1 functions can be used in complex number calculations in the CMPLX Mode, and complex number arguments are supported. • The X^, '(, 3'(, ^'( functions can be used in the CMPLX Mode, as
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    Tips on Improving Integration Value Accuracy • When a periodic function or integration interval results in positive and negative f(x) function values Perform separate integrations for each cycle, or
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    • A smaller tol value provides better precision, but it also causes the calculation to take more time. Specify a tol value that is 1 × 10- can be caused by the following : - discontinuous points in x values - extreme changes in x values - inclusion of the local maximum point and local minimum point
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    conversion can be performed in the COMP, STAT, MATRIX, and VECTOR calculation modes. Converting to Polar Coordinates (Pol) Pol(X, Y) X: Specifies the rectangular coordinate X value Y: Specifies the rectangular coordinate Y value • Calculation result θ is displayed in the range of -180° < θ < 180
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    can be used in the same modes as the trigonometric functions. In addition, the Abs( and Rnd( functions can be used in complex number calculations in the CMPLX Mode. Factorial (!) This function obtains the factorials of a value that is zero or a positive integer. Appendix (5 + 3)! = 40320
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    or Norm2 The mantissa is rounded to 10 digits. Display Digits Setting: Fix or Sci The value is rounded to the specified number of digits. Example: 200 ÷ 7 × 14 = 400 LINE 200/7*14= (Specifies three decimal places.) FIX 1N6(Fix)3 (Calculation is performed internally using 15 digits.) FIX 200/7= FIX
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    You can use S-D transformation to transform a value between its decimal (D) form and its standard (S) form (fraction, π). Formats Supported for S-D Transformation S-D transformation can be used to transform a displayed decimal calculation result to one of the forms described below. Performing
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    you transform from decimal form to standard form, the calculator automatically decides the standard form to use. You cannot specify the standard form. Fraction: The current fraction display format setting determines whether the result is an improper fraction or mixed fraction. π: The following
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    . 51y(∠)30 CMPLX Math • The angle unit for argument θ input and result display is the calculator's default angle unit. k Calculation Result Display Format Your calculator can display complex number calculation results in rectangular coordinate or polar coordinate format. You can select the
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    CMPLX Math 1+i= • Argument θ is output in the range of -180°< θ < 180°. Specifying the Calculation Result Display Format You can override complex number display settings and specify the format that should be used to display calculation results. • To specify rectangular coordinate format for the
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    A+BX 3 _+CX2 4 In X 5 e^X 6 A•B^X 7 A•X^B 8 1/X Statistical Calculation Single-variable Linear regression Quadratic regression Logarithmic regression e exponential regression ab exponential regression Power regression Inverse regression k Inputting Sample Data Displaying the STAT Editor Screen The
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    Frequency) Column If you turn on the Statistical Display item on the calculator's setup screen, a column labeled " FREQ" will also be included on the STAT editor screen. You can use the FREQ column to specify the frequency (the number
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    of lines in STAT editor screen (the number of sample data values you can input) depends on the type of statistical data you selected, and on the Statistical Display setting of the calculator's setup screen. Statistical Display OFF Statistic Type (No FREQ column) Single-variable 80 lines
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    this: Display the statistical calculation type selection screen Display the STAT editor screen Display the Edit sub-menu for editing STAT editor screen contents Display the Sum sub-menu of commands for calculating sums Display the Var sub-menu of commands for calculating the mean, standard deviation
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    do this: 7Reg Display the Reg sub-menu of commands for regression calculations • For details see "Commands when Linear Regression Calculation (A+BX) Is Selected" and "Commands when Quadratic Regression Calculation (_+CX2) Is Selected". Single-variable (1-VAR) Statistical Calculation Commands The
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    of the sample data and sum of the sample data. Calculate number of samples, mean, and population standard deviation. Calculate minimum value and maximum value. Performing standard normal distribution approximation on the input sample data (from Example ) produces
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    this: 1n 2o 3xσn 4xσn-1 5p 6yσn 7yσn-1 Number of samples Mean of the X-data Population standard deviation of the X-data Sample standard deviation of the X-data Mean of the Y-data Population standard deviation of the Y-data Sample standard deviation of the Y-data MinMax Sub-menu (11(STAT)6(MinMax
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    of y • Sum sub-menu (sums), Var sub-menu (number of samples, mean, standard deviation), and MinMax sub-menu (maximum value, minimum value) operations are the same those for linear regression calculations. Appendix Quadratic Regression Calculation: to • Examples through
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    061>. Compare the correlation coefficient for logarithmic, e exponential, ab exponential, power, and inverse regression. (FREQ: OFF) Appendix Other Types of Regression Calculation: to Command Usage Tips • The commands included in the Reg sub-menu can take a long time to execute
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    that are not allowed for the currently selected number base (such as inputting 2 while binary is selected). • You cannot input fractional values or exponential values in the BASE-N Mode. If a calculation produces a fractional value, the decimal part is cut off. Inputting Hexadecimal Values Use
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    . Convert the decimal value 3010 to binary, octal, and hexadecimal. Transform the result of 510 + 516 to binary. k Negative Number Calculations and Logical Operations To input a negative number calculation or logical operation command, press 13(BASE) to display page one of the BASE
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    number base. With the decimal number base, negative values are displayed with a minus sign. Appendix Examples through show examples of calculations Linear Equations with Three Unknowns Quadratic Equation Cubic Equation Changing the Current Equation Type Setting Press N5(EQN) to
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    format. • Pressing A while inputting data clears your current input. • After inputting data, press =.This registers the value and displays up to six of its digits in the currently selected cell. • To change the contents of a cell, use the cursor keys to move the cursor to the cell and then input the
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    / output format and complex number display format settings of the calculator's setup screen. • Note that you cannot transform values to engineering notation while an equation solution is displayed. Appendix Equation Calculation: to Matrix Calculations (MATRIX) You can save matrices
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    copies the matrix to Matrix B, and displays the matrix editor screen for Matrix B. k Performing Matrix Calculations Pressing A while the matrix selection screen or matrix editor screen is on the display switches to the matrix calculation screen. Matrix Answer Memory Screen The Matrix Answer Memory
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    screen is on the display, you can press an arithmetic operator key (like + or -) and use the screen contents in a subsequent calculation, just as with Answer Memory contents. For more information, see "Using Answer Memory to Perform a Series of Calculations". k Matrix Menu Items The following
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    1w(Abs). Determine the square (MatA2) or cube (MatA3) of Matrix A. • Use w to specify squaring, and 1w(x3) to specify cubing. Note that you cannot use 6 for this input. Generating a Number Table from a Function (TABLE) All calculations in this section are performed in the TABLE Mode (N7
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    =. • This displays the step value editor screen. k Supported Function Types • Except number table generation operation causes the contents of variable X to be changed. k Start, End, and Step Value Rules • Linear format is always used for value input. • You can specify either values or calculation
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    function editor screen. k TABLE Mode Precautions Note that changing the input/output format settings (Math format or Linear format) on the calculator's setup screen while in the TABLE Mode clears the number table generation function. Vector Calculations (VECTOR) You can save vectors under the names
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    . See "Copying the Contents of One Matrix to Another Matrix" for more information. k Performing Vector Calculations To perform a vector calculation, display the vector calculation screen by pressing the A key. Vector Answer Memory Screen The Vector Answer Memory screen shows the result of the
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    scientific calculations. You can use the scientific constants in any calculation mode except for BASE-N. • To recall a scientific constant, press 17(CONST). This displays the scientific constant menu. Input the two-digit number magnetic flux quantum; 35: standard acceleration of gravity; 36:
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    to another. You can use the metric conversion commands in any calculation mode except for BASE-N and TABLE. To recall a metric conversion command, press 18(CONV). This displays the metric conversion command menu. Input the two-digit number that corresponds to the metric conversion you want to recall
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    . Statistical estimated value calculation: m, n, m1, m2 6. Permutations, combinations: nPr, nCr Complex polar form symbol: ∠ 7. Dot product: • (Dot) 8. Multiplication and division: ×, ÷ Multiplication where sign is omitted: Multiplication sign omitted immediately before π, e, variables, scientific
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    a real number or a complex number. This means that the numeric stack effectively has only five levels in the CMPLX Mode. • The MATRIX Mode uses its own matrix stack, which is used in combination with the general-purpose numeric stack.The matrix stack has three levels. Performing a calculation that
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    Same as sinx ȊaȊ, b, c  1҂10100 0 Ϲ b, c ȊxȊ1҂10100 Decimal ↔ Sexagesimal Conversions 0°0'0"Ϲ ȊxȊ Ϲ9999999°59'59" xŒ0: -1҂10100 ylogx100 type functions require consecutive internal calculation, which can cause accumulation of errors that occur with each calculation. • Error is cumulative and
  • Casio FX-991ES | User Guide - Page 71
    problem occurs. When an error message appears... The following are general operations you can use when any error message appears. • Pressing d or e displays to the calculation • The calculation you are performing has caused the capacity of the matrix stack to be exceeded. • The calculation you are
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    not allow that type of calculation. • Action • Specify the dimension of the matrix or vector and then perform the calculation again. • Check the dimensions specified for the matrices or vectors to see if they are compatible with the calculation. Variable ERROR (SOLVE feature only) • Cause • You did
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    problem, move on to the next step. Note that you should make separate copies of important data before performing these steps. (1) Check the calculation to use the calculator as long as there is enough light to read the display. Replacing the Battery Dim display figures when available lighting
  • Casio FX-991ES | User Guide - Page 74
    that you do not accidentally turn on power while replacing the battery, slide the hard case onto the front of the calculator. Screw 2 On the back of the calculator, remove the screw and the battery cover. 3 Remove the old battery. 4 Wipe a new battery with a dry cloth, and then load it into the
  • Casio FX-991ES | User Guide - Page 75
    CASIO COMPUTER CO., LTD. 6-2, Hon-machi 1-chome Shibuya-ku, Tokyo 151-8543, Japan SA0411-B Printed in China
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RCA502160-001V01
E
fx-115ES
fx-991ES
User's Guide