Casio FX 115ES User Guide

Casio FX 115ES - Advanced Scientific Calculator Manual

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  • Casio FX 115ES | User Guide - Page 1
    E fx-115ES fx-991ES User's Guide http://world.casio.com/edu/ RCA502160-001V01
  • Casio FX 115ES | User Guide - Page 2
    CASIO Europe GmbH Bornbarch 10, 22848 Norderstedt, Germany
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    About this Manual • The MATH mark indicates an example that uses Math format, while the LINE mark indicates Linear Mode to access the function. Enter the BASE-N Mode to access the function. • The following shows an example of how an alternate function operation is represented in this User's Guide
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    (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 Computer Co., Ltd. be liable to
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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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    it may require replacement sooner than the normal expected battery life. • Low battery power can cause memory contents to become corrupted or lost completely. Always keep written records of all important data. • Avoid use and storage of the calculator in areas subjected to temperature extremes. Very
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    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 can also adjust contrast using d and e while the mode menu (which appears when
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    press t. The calculator is in the STAT Mode. The calculator is in the CMPLX Mode. The 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
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    Calculator Setup k Calculation Modes When you want to perform 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
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    use Degrees 1N3(Deg) Radians 1N4(Rad) Grads 90° = π radians = 100 grads 2 1N5(Gra) Specifying the Number of Display Digits To specify this: Number of Decimal controls the number of significant digits for displayed calculation results. Calculation results are rounded off to the specified digit
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    Perform this key operation: number format: Rectangular Coordinates 1Nc3(CMPLX)1(a+bi) Polar Coordinates 1Nc3(CMPLX)2(r∠θ) Specifying the Statistical Display Format Use the following procedure to turn display of the frequency (FREQ) column of the STAT Mode STAT editor screen on or off. To
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    Statistical Display Decimal Point Is initialized to this: COMP MthIO Deg Norm1 d/c a+bi OFF Dot • To cancel initialization without doing anything, press A(Cancel) instead of =. Inputting Expressions and Values k Inputting a Calculation Expression Using Standard Format Your calculator lets you
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    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 indicator to appear to the right of the expression. At this time, you can use the e key to scroll back. Number of Input Characters (Bytes) • You can
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    format, you can only use the insert mode. Pressing 1Y(INS) when the Math format is selected does not switch to the overwrite mode. See "Incorporating a Value into a Function" for more information. • The calculator automatically changes to the insert mode whenever you change the input/output format
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    Example: To correct cos(60) so it becomes sin(60) LINE Insert Mode: c60) dddY s Overwrite Mode: c60) dddd s Inserting Input into a Calculation Always use the insert mode for this operation. Use d or e to move the cursor to the location where you want to insert new input, and then input what
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    input 14 ÷ 0 × 2 = by mistake instead of 14 ÷ 10 × 2 = Use the insert mode for the following operation. LINE 14/0*2= Press e or d. This is causing 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
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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 Absolute Value Parentheses Key Operation
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    Math (1+'2c5e) w*2= • When you press = and obtain a calculation result using Math format, part of the expression you input can be cut the ' function MATH Math Move the cursor to here. Math 1Y(INS) This changes the shape of the cursor as shown here. Math ! This incorporates the expression in
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    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 input/output
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    number Abs calculations d. CMPLX Mode polar coordinate display (r ∠ θ ) The following are the input value ranges for which ' form is always used for display of trigonometric calculation results. Angle Unit Setting Deg Rad Gra Angle Value Input Units of 15° Multiples of 1 12 π radians 50
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    areas in the above examples indicate what caused decimal form to 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
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    COMP Mode (N1). k Arithmetic Calculations Use the +, -, *, and / keys to perform arithmetic calculations. Example: 7 × 8 - 4 × 5 = 36 LINE 7*8-4*5= • The calculator automatically judges the calculation priority sequence. For more information, see "Calculation Priority Sequence". Number of Decimal
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    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. Switching
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    What is the percentage change when a value is increased from 40 to 46? How about to 48? (15%, 20%) k Degree, Minute, Second (Sexagesimal) Calculations You can perform calculations using sexagesimal values, and convert values between sexagesimal and decimal. Inputting Sexagesimal Values The
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    ´30˝ = 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
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    calculation history memory contents. Calculation history memory shows both calculation expressions and results. Example: LINE 1+1= 2+2= 3+3= f f • Note that calculation history memory contents are cleared whenever you turn off the calculator, press the O key, change to the calculation mode
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    result, both the real part and imaginary part are stored in Answer Memory. In this case, however, the imaginary part will be cleared from Answer Memory if you change to another calculation mode. Using Answer Memory to Perform a Series of Calculations Example: To divide the result of 3 × 4 by 30 LINE
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    also insert the M variable into a calculation, which tells the calculator to use the current independent memory contents at that location. The following is 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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    key, change the calculation mode, or turn off the calculator. Appendix Clearing the clear. To clear the contents of variable A, for example, press 01t(STO)y(A). k Clearing the Contents of All Memories Use the following procedure to clear the contents of Answer Memory, independent memory
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    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 expressions that can be used with CALC. u Expressions that contain variables Example: 2X + 3Y
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    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 n. *7 Value of a4 *2 Assigns 1 to n. *4 Assigns value to a2. *6 Value of a3 *8 Value of a5 Using SOLVE
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    operation, press A. Precautions when 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
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    SOLVE uses Newton's Method, so even if there are multiple solutions, only one of them will be returned. • Newton's Method can have problems obtaining solutions for the following types continue. Press = to continue or A to cancel the SOLVE operation. Appendix Solve y = x2 - x + 1 for x when y
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    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 arguments. • The angle unit required by trigonometric
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    angle unit. Example: To convert the following values to degrees: π radians = 90°, 50 grads = 45° 2 The following procedure assumes that the calculator's default angle unit is degrees. LINE (15(π)/2) 1G(DRG')2(r)= 501G(DRG') 3(g)= Appendix cos (π radians) = -1, cos (100 grads) = 0
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    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 long as complex numbers are not used as their arguments. Appendix
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    areas of wide fluctuation into small parts), perform integration on each part, and then combine the results. b x1 x2 b f(x)dx = f(x)dx + f(x)dx + .....+ f(x)dx a a x1 x4 Appendix ∫(ln(x), 1, e) = 1 ( ) ∫ 1 x2 , 1, 5, 1×10-7 = 0.8 (tol specification omitted.) E-35
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    range. A default value of 1 × 10-10 is used when you do. • ∫(, d/dx(, Pol(, Rec(, and Σ( cannot be used within f(x), a, or tol. • Differential calculations can be performed in the COMP Mode only. • When performing a differential calculation involving trigonometric functions, specify Rad as the
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    an ongoing Σ calculation. Appendix Σ (X + 1, 1, 5) = 20 k Rectangular-Polar Coordinate Conversion Rectangular Coordinates (Rec) Polar Coordinates (Pol) • Coordinate conversion can be performed in the COMP, STAT, MATRIX, and VECTOR calculation modes. Converting to Polar Coordinates (Pol
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    that is less than 1. Appendix Generate three 3-digit random numbers. The random 3 digit decimal values are converted to 3-digit integer values by multiplying by 1000. Note that the values shown here are examples only. Values actually generated by your calculator will be different. Permutation
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    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 *14= The following performs the same calculation with rounding. FIX 200/7= (Round the value to the specified number of
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    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 S-D transformation again converts back to the
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    results and values that are normally expressed in radians. • After obtaining a calculation result in ' form, you can convert it to decimal form by pressing the f key. When the original calculation result is in decimal form, it cannot be converted to ' form. Examples of S-D Transformation Note that
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    All calculations in this section are performed in the CMPLX Mode (N2). Appendix (1 + 3i) ÷ (2i) = -3 - -1 i 22 k Inputting Complex Numbers • In the CMPLX Mode, the W key changes function to become an imaginary number i input key. In this section, the W key is referred to as the i key. Use
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    CMPLX)4('a+bi ) • To specify polar coordinate format for the calculation result, perform the following key operation at the end of the calculation. 12(CMPLX)3('r∠ θ ) Appendix 1 + i (= '2 ∠ 45) = 1.414213562 ∠ 45 k Conjugate Complex Number (Conjg) You can use the following operation to obtain
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    (CMPLX)1(arg) Appendix Obtain the absolute value and argument of 2 + 2i. *1 Absolute Value *2 Argument Statistical Calculation (STAT) All calculations in this section are performed in the STAT Mode (N3). Selecting a Statistical Calculation Type In the STAT Mode, display the statistical
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    on the type of statistical calculation you Use the cursor keys to move the cursor between cells. STAT Cursor • The values and expressions you can input on the STAT editor screen are the same as those you can input in the COMP Mode with Linear format. • Pressing A while inputting data clears
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    Data Storage Sample data you input is deleted automatically whenever you change to another mode from the STAT Mode or change the Statistical Display setting (which causes the FREQ column to be shown or hidden) on the calculator's setup screen. Editing Sample Data Replacing the Data in a Cell (1) On
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    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, etc. Display
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    while a single-variable statistical calculation type is selected. See Appendix for information about the calculation formula used for each command. Sum of samples Mean of the sample data Population standard deviation Sample standard deviation MinMax Sub-menu (11(STAT)6(MinMax)) Select
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    t is calculated with the expression shown below, using the mean value (o) and population standard deviation value (xσn) obtained from the data input on the STAT editor screen. Standard Normal Distribution P (t) Q (t) R (t) 0 t 0 t 0 t Appendix Single-variable Statistical Calculation
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    selected as the statistical calculation type. See Appendix for information about the calculation formula used for each command. Sum 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
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    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 all use the data input in Example
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    of Regression Curves • The following example uses the data input in Example . 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
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    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 the keys shown below to input the alphabetic letters (A, B, C, D, E, F) required for hexadecimal
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    to input a value of 3 using the decimal number base, for example. Ab13(BASE)c1(d)3 The value you input here is decimal number base. Appendix Calculate 12 + 12 in binary. Calculate 78 + 18 in octal. Calculate 1F16 + 116 in hexadecimal. Convert the decimal value 3010 to
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    the decimal number base, negative values are displayed with a minus sign. Appendix Examples through show examples of calculations Changing the Current Equation Type Setting Press N5(EQN) to re-enter the EQN Mode. This clears all current EQN Mode input and displays the equation type
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    is selected as the equation type, the d column will not COMP Mode with Linear format. • Pressing A while inputting data clears your change the contents of a cell, use the cursor keys to move the cursor to the cell and then input the new data. Initializing All Coefficients to Zero You can clear
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    engineering notation while an equation solution is displayed. Appendix Equation Calculation: to Matrix Calculations (MATRIX) You can save matrices under the names "MatA", "MatB", and "MatC" in matrix memory. Matrix calculation results are stored in a special Matrix Answer Memory named
  • Casio FX 115ES | User Guide - Page 60
    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 (MatAns
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    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 Input the "Trn(" function for obtaining a transposed data in Matrix Appendix 21 1 0 -1 Input MatA = 1 1
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    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). k Configuring a Number Table
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    function editor screen. k Supported Function Types • Except for the X variable, other variables (A, B, C, D, Y) and independent memory (M) are all treated 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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    while in the TABLE Mode clears the number table generation function. Vector Calculations (VECTOR) You can save vectors under the names "VctA", "VctB", and "VctC" in vector memory. Vector calculation results are stored in a special Vector Answer Memory named "VctAns". All calculations in this section
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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 last
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    used in 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; 34: magnetic flux quantum; 35: standard acceleration of gravity; 36: conductance quantum; 37
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    , see Appendix . Appendix and Perform all of these examples in the COMP Mode (N1). Metric Conversion The calculator's built-in metric conversion commands make it simple to convert values from one unit to another. You can use the metric conversion commands in any calculation mode
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    types are mixed in the same calculation. Enclosing an operation within parentheses causes it to be performed first, so the use of parentheses can result in different calculation results. Example: 1/2i= 1/(2i)= 1 ÷ 2i = 1 i 2 1 ÷ (2i) = - 1 i 2 k Stack Limitations This calculator uses memory
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    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 involves a matrix causes one level of the matrix stack to be used for storage of the result
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    c  1҂10100 0 Ϲ b, c ȊxȊ1҂10100 Decimal ↔ Sexagesimal Conversions 0°0'0"Ϲ ȊxȊ Ϲ9999999°59'59" Calculation Range and Precision", above. • ^(xy), x'y, 3', x!, nPr, nCr type functions require consecutive internal calculation, which can cause accumulation of errors that occur with each calculation
  • Casio FX 115ES | User Guide - Page 71
    of an Error". • Pressing A clears the calculation expression you input before the error message appeared. You can then re-input and re-execute the calculation, if you want. Note that in this case, the original calculation will not be retained in calculation history memory. Math ERROR • Cause • The
  • Casio FX 115ES | User Guide - Page 72
    . Dimension ERROR (MATRIX and VECTOR Modes only) • Cause • The matrix or vector you are trying to use in a calculation was input without specifying its dimension. • You are trying to perform a calculation with matrices or vectors whose dimensions do not allow that type of calculation. • Action
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    "Calculation Modes and Calculator Setup". (4) Initialize all modes and settings by performing the following operation: 19(CLR) 1(Setup) =(Yes). Reference k Power Requirements and Battery Replacement Your calculator uses a TWO WAY POWER system that combines a solar cell with G13 type button battery
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    about six minutes. If this happens, press the O key to turn the calculator back on. Specifications Power Requirements: Solar Cell: Built into the front of the calculator Button Battery: G13 Type (LR44) × 1 Battery Life: Approximately 3 years (Based on one hour of operation per day.) Operating
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    CASIO COMPUTER CO., LTD. 6-2, Hon-machi 1-chome Shibuya-ku, Tokyo 151-8543, Japan SA1106-C Printed in China
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RCA502160-001V01
E
fx-115ES
fx-991ES
User's Guide