CASIO FX-CG10 Software User's Manual

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CASIO Worldwide Education Website http://edu.casio.com CASIO EDUCATIONAL FORUM http://edu.casio.com/forum/ fx-CG10 fx-CG20 Software User’s Guide E ...

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i • The contents of this user’s guide are subject to change without notice. • No part of this user’s guide may be reproduced in any form without the express written consent of the manufacturer. • Be sure to keep all user documenta...

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ii Contents Getting Acquainted — Read This First! Chapter 1 Basic Operation 1. Keys .............................................................................................................................. 1-1 2. Display ...........

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iii Chapter 6 Statistical Graphs and Calculations 1. Before Performing Statistical Calculations .................................................................... 6-1 2. Calculating and Graphing Single-Variable Statistical Data ...........

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iv Chapter 12 System Manager 1. Using the System Manager .........................................................................................12-1 2. System Settings ........................................................................

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v Getting Acquainted — Read This First! k About this User’s Guide u Math natural input and display Under its initial default settings, the calculator is set up to use the “Math input/output mode”, which enables natural input and displ...

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vi u Menu Titles • Menu titles in this User’s Guide include the key operation required to display the menu being explained. The key operation for a menu that is displayed by pressing K and then {LIST} would be shown as: [OPTN] - [LIST] . ...

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1-1 Chapter 1 Basic Operation 1. Keys k Key Table Page Page Page Page Page Page Page Page Page Page Page 2-1 1-31 1-...

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1-2 k Key Markings Many of the calculator’s keys are used to perform more than one function. The functions marked on the keyboard are color coded to help you find the one you need quickly and easily. Function Key Operat...

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1-3 2. Display k Selecting Icons This section describes how to select an icon in the Main Menu to enter the mode you want. u To select an icon 1. Press m to display the Main Menu. 2. Use the cursor keys ( d, e, f, c) to move the highli...

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1-4 Icon Mode Name Description Table Use this mode to store functions, to generate a numeric table of different solutions as the values assigned to variables in a function change, and to draw graphs. Recursion Use this mode t...

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1-5 k About the Function Menu Use the function keys ( 1 to 6) to access the menus and commands in the menu bar along the bottom of the display screen. You can tell whether a menu bar item is a menu or a command by its appearance. k Status Bar Th...

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1-6 k About Display Screens This calculator uses two types of display screens: a text screen and a graph screen. The text screen can show 21 columns and 8 lines of characters, with the bottom line used for the function key menu. The graph screen ...

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1-7 k Special Display Formats This calculator uses special display formats to indicate fractions, hexadecimal values, and degrees/minutes/seconds values. u Fractions .................... Indicates: 456 12 23 u Hexa...

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1-8 u To change a step Example To change cos60 to sin60 Acga ddd D s u To delete a step Example To change 369 × × 2 to 369 × 2 Adgj**c dD In the insert mode, the D key operates as a backspace key. u To insert...

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1-9 • Inputting a closing parenthesis assigns it the same color as the corresponding opening parenthesis. • The parentheses of parenthetical expressions that are of the same level are the same color. Executing a calculation causes the color of ...

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1-10 After you press A, you can press f or c to recall previous calculations, in sequence from the newest to the oldest (Multi-Replay Function). Once you recall a calculation, you can use e and d to move the cursor around the calculation and...

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1-11 k Using the Clipboard for Copy and Paste You can copy (or cut) a function, command, or other input to the clipboard, and then paste the clipboard contents at another location. Note In the Math input/output mode, the copy (or cut) range yo...

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1-12 u Pasting Text Move the cursor to the location where you want to paste the text, and then press !j(PASTE). The contents of the clipboard are pasted at the cursor position. A !j(PASTE) k Catalog Function The Catalo...

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1-13 4. Using the Math Input/Output Mode Selecting “Math” for the “Input/Output” mode setting on the Setup screen (page 1-32) turns on the Math input/output mode, which allows natural input and display of certain functions, just as th...

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1-14 Function/Symbol Key Operation Bytes Parentheses ( and ) 1 Braces (Used during list input.) !*( { ) and !/( } ) 1 Brackets (Used during matrix input.) !+( [ ) and !-( ] ) 1 * 1 Mixed fraction is supported in the Math in...

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1-15 u Math Input/Output Mode Input Examples This section provides a number of different examples showing how the MATH function menu and other keys can be used during Math input/output mode natural input. Be sure to pay attention to the inp...

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1-16 Example 3 To input 1+ x + 1 dx 0 1 Ab+4(MATH) 6( g) 1( ∫ dx ) v+b ea fb e w Example 4 To input 2 × 1 2 2 1 2 2 Ac*4(MATH) 1(MAT) 1(2...

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1-17 u When the calculation does not fit within the display window Arrows appear at the left, right, top, or bottom edge of the display to let you know when there is more of the calculation off the screen in the corresponding direction. ...

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1-18 This capability can be used with the following functions. Function Key Operation Original Expression Expression After Insertion Improper Fraction v Power M ' !x( ') Cube Root !(( 3 ') Power Root !M( x &a...

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1-19 • Note the following cursor operations you can use while inputting a calculation with Math input/output mode. To do this: Press this key: Move the cursor from the end of the calculation to the beginning e Move the cursor from th...

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1-20 k Math Input/Output Mode Calculation Result Display Fractions, matrices, and lists produced by Math input/output mode calculations are displayed in natural format, just as they appear in your textbook. Sample Calc...

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1-21 k History Function The history function maintains a history of calculation expressions and results in the Math input/output mode. Up to 30 sets of calculation expressions and results are maintained. b+cw *cw ...

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1-22 k Calculation Operations in the Math Input/Output Mode This section introduces Math input/output mode calculation examples. • For details about calculation operations, see “Chapter 2 Manual Calculations”. u Performing Function Calcu...

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1-23 k Performing Matrix Calculations Using Math Input/Output Mode u To specify the dimensions (size) of a matrix 1. In the Run-Matrix mode, press !m(SET UP) 1(Math) J. 2. Press 4(MATH) to display the MATH menu. 3. Press 1(MAT) to displa...

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1-24 u To input cell values Example To perform the calculation shown below The following operation is a continuation of the example calculation on the previous page. bebvceedde bdveeefege *iw ...

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1-25 k Using Graph Modes and the Equation Mode in the Math Input/Output Mode Using the Math input/output mode with any of the modes below lets you input numeric expressions just as they are written in your text book and view calculation results ...

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1-26 Example 2 In the Graph mode, input the function y = x 2 − x −1 d x ∫ x 4 1 2 1 0 and then graph it. Make sure that initial default settings are configured on the View Window. mGraph K2(CALC) 3( ∫ d x) bveevx-bvce v-beaev...

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1-27 5. Option (OPTN) Menu The option menu gives you access to scientific functions and features that are not marked on the calculator’s keyboard. The contents of the option menu differ according to the mode you are in when you press the K ...

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1-28 6. Variable Data (VARS) Menu To recall variable data, press J to display the variable data menu. { V-WIN } / { FACTOR } / { STAT } / { GRAPH } / { DYNA } / { TABLE } / { RECURSION } / { EQUATION } / { FINANCE } / { Str } • Note t...

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1-29 • { PTS } ... {summary point data menu} • { x 1 } / { y 1 } / { x 2 } / { y 2 } / { x 3 } / { y 3 } ... coordinates of summary points • { INPUT } ... {statistical calculation input values} ...

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1-30 u TABLE — Recalling table setup and content data • { Start } / { End } / { Pitch } ... {table range start value}/{table range end value}/{table value increment} • { Result * 1 } ... {matrix of table contents} * 1 ...

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1-31 7. Program (PRGM) Menu To display the program (PRGM) menu, first enter the Run-Matrix or Program mode from the Main Menu and then press !J(PRGM). The following are the selections available in the program (PRGM) menu. • The program ...

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1-32 8. Using the Setup Screen The mode’s Setup screen shows the current status of mode settings and lets you make any changes you want. The following procedure shows how to change a setup. u To change a mode setup 1. Select the icon you wa...

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1-33 u Func Type (graph function type) Pressing one of the following function keys also switches the function of the v key. • { Y= } / { r= } / { Parm } / { X= } ... {rectangular coordinate (Y= f ( x ) type)}/{polar coordinate}/ ...

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1-34 u List File (list file display settings) • { FILE } ... {settings of list file on the display} u Sub Name (list naming) • { On } / { Off } ... {display on}/{display off} u Graph Func (function display during graph drawing and trac...

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1-35 u Slope (display of derivative at current pointer location in conic section graph) • { On } / { Off } ... {display on}/{display off} u Payment (payment period setting) • { BEGIN } / { END } ... {beginning}/{end} setting of pa...

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1-36 9. Using Screen Capture Any time while operating the calculator, you can capture an image of the current screen and save it in capture memory. u To capture a screen image 1. Operate the calculator and display the screen you want to captu...

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1-37 10. When you keep having problems… If you keep having problems when you are trying to perform operations, try the following before assuming that there is something wrong with the calculator. k Getting the Calculator Back to its Original ...

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1-38 u Reset Use reset when you want to delete all data currently in calculator memory and return all mode settings to their initial defaults. Before performing the reset operation, first make a written copy of all important data. For details, s...

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1-39 Note • The fx-CG10 will not be able to import image files saved using the above procedures on the fx-CG20. • The fx-CG20 will be able to read image files saved using the above procedures on the fx- CG10. • eActivity files that contain ins...

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2-1 Chapter 2 Manual Calculations 1. Basic Calculations k Arithmetic Calculations • Enter arithmetic calculations as they are written, from left to right. • Use the - key to input the minus sign before a negative value. • Calculat...

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2-2 Example 1 100 ÷ 6 = 16.66666666... Condition Operation Display 100 /6 w 16.66666667 4 decimal places !m(SET UP) ff 1(Fix) ewJw 16.6667 5 significant digits !m(SET UP) ff 2(Sci) fwJw 1.6667 E ...

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2-3 k Calculation Priority Sequence This calculator employs true algebraic logic to calculate the parts of a formula in the following order: 1 Type A functions • Coordinate transformation Pol ( x , y ), Rec ( r , θ ) • Fu...

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2-4 Example 2 + 3 × (log sin2 π 2 + 6.8) = 22.07101691 (angle unit = Rad) • When functions with the same priority are used in series, execution is performed from right to left. e x In 120 �...

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2-5 • In the cases shown below, a calculation result may be able to be displayed in ' format even if their coefficients ( a , c , d ) are outside the above ranges. A ' format calculation result uses a common denominator. ...

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2-6 u Calculation Result Display Range with π A calculation results is displayed using π format in the following cases. • When the calculation result can be displayed in the form n π n is an integer up to |10 6 |. • Whe...

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2-7 k Overflow and Errors Exceeding a specified input or calculation range, or attempting an illegal input causes an error message to appear on the display. Further operation of the calculator is impossible while an error message is displayed....

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2-8 u To assign a value to a variable [value] a [variable name] w Example 1 To assign 123 to variable A Abcdaav(A) w Example 2 To add 456 to variable A and store the result in variable B Aav(A) +efga al(...

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2-9 Example To assign string “ABC” to Str 1 and then output Str 1 to the display !m(SET UP)2(Line)J A!a( A -LOCK) E(”) v(A) l(B) I(C) E(”) a(Releases Alpha Lock.) aJ6( g) 5(Str) bw 5(Str) bw ...

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2-10 u To recall a function Example To recall the contents of function memory number 1 AK6( g) 6( g) 3(FUNCMEM) 2(RECALL) bw • The recalled function appears at the current location of the cursor on the display. u ...

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2-11 k Answer Function The Answer Function automatically stores the last result you calculated by pressing w (unless the w key operation results in an error). The result is stored in the answer memory. • The largest value that the answer me...

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2-12 3. Specifying the Angle Unit and Display Format Before performing a calculation, you should use the Setup screen to specify the angle unit and display format. k Setting the Angle Unit [SET UP] - [Angle] 1. On the Setup screen, hi...

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2-13 u To specify the number of significant digits ( Sci) Example To specify three significant digits 2(Sci) dw Press the number key that corresponds to the number of significant digits you want to specify ( n = 0 to 9). Specifyi...

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2-14 4. Function Calculations k Function Menus This calculator includes five function menus that give you access to scientific functions not printed on the key panel. • The contents of the function menu differ according to the mode you entered ...

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2-15 u Angle Units, Coordinate Conversion, Sexagesimal Operations (ANGLE) [OPTN] - [ANGLE] • { ° } / { r } / { g } ... {degrees}/{radians}/{grads} for a specific input value • { ° ’ ” } ... {specifies degrees (hours), minutes, ...

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2-16 k Trigonometric and Inverse Trigonometric Functions • Be sure to set the angle unit before performing trigonometric function and inverse trigonometric function calculations. • Be sure to specify Comp for Mode in the Setup scr...

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2-17 k Hyperbolic and Inverse Hyperbolic Functions • Be sure to specify Comp for Mode in the Setup screen. Example Operation sinh 3.6 = 18.28545536 K6( g) 2(HYPERBL) 1(sinh) 3.6 w cosh –1 20 15 = 0.7953654612 K6(g)2(HYPERB...

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2-18 Ran# Examples Example Operation Ran# (Generates a random number.) K6( g) 3(PROB) 4(RAND) 1(Ran#) w (Each press of w generates a new random number.) w w Ran# 1 (Generates the first random number in sequence 1.) (G...

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2-19 u Random Integer Generation (RanInt#) RanInt# generates random integers that fall between two specified integers. RanInt# (A, B [, n]) A < B |A|,|B| < 1 E 10 B – A < 1 E 10 1 < n < 999 • A is the st...

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2-20 u Random Number Generation in Accordance with Binomial Distribution (RanBin#) This function generates random integers in accordance with binomial distribution based on values specified for the number of trials n and probability p . Ra...

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2-21 k Permutation and Combination u Permutation u Combination • Be sure to specify Comp for Mode in the Setup screen. Example 1 To calculate the possible number of different arrangements using 4 items selected from among ...

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2-22 k Fractions • In the Math input/output mode, the fraction input method is different from that described below. For fraction input operations in the Math input/output mode, see page 1-13. • Be sure to specify Comp for Mode in the Setup s...

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2-23 k Logical Operators (AND, OR, NOT, XOR) [OPTN] - [LOGIC] The logical operator menu provides a selection of logical operators. • { And } / { Or } / { Not } / { Xor } ... {logical AND}/{logical OR}/{logical NOT}/{logical XOR} • Be ...

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2-24 5. Numerical Calculations The following explains the numerical calculation operations included in the function menu displayed when K4(CALC) is pressed. The following calculations can be performed. • { Int÷ } / { Rmdr } / { Simp } ....

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2-25 k Simplification [OPTN] - [CALC] - [Simp] The “ 'Simp” function can be used to simplify fractions manually. The following operations can be used to perform simplification when an unsimplified calculation result is on the displ...

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2-26 Example 2 To simplify 27 63 specifying a divisor of 9 = 27 63 3 7 A$chcgdw K4(CALC) 6( g) 6( g) 3(Simp) j w • An error occurs if simplification cannot be performed using the specified divisor. �...

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2-27 • The lower limit and upper limit specify the range of the solution. You can input a value or an expression as the range. • The following functions cannot be used within any of the arguments. Solve(, d 2 / dx 2 (, FMin(, FMax...

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2-28 In this definition, infinitesimal is replaced by a sufficiently small A x , with the value in the neighborhood of f ' ( a ) calculated as: Example To determine the derivative at x = 3 for the function y = x ...

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2-29 k Second Derivative Calculations [OPTN] - [CALC] - [ d 2 / dx 2 ] After displaying the function analysis menu, you can input second derivatives using the following syntax. <Math input/output mode> K4(CALC)3(d 2 /dx 2...

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2-30 k Integration Calculations [OPTN] - [CALC] - [ ∫ dx ] To perform integration calculations, first display the function analysis menu and then input the values using the syntax below. <Math input/output mode> K4(CALC)4(∫d...

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2-31 Note the following points to ensure correct integration values. (1) When cyclical functions for integration values become positive or negative for different divisions, perform the calculation for single cycles, or divide between negativ...

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2-32 Integration Calculation Precautions • In the function f ( x ), only X can be used as a variable in expressions. Other variables (A through Z excluding X, r ,  ) are treated as constants, and the value currently assigned to that va...

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2-33 • Input integers only for the initial term ( α ) of sequence a k and last term ( β ) of sequence a k . • Input of n and the closing parentheses can be omitted. If you omit n , the calculator automatically uses n = 1. ...

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2-34 • Input of n and the closing parenthesis can be omitted. • Discontinuous points or sections with drastic fluctuation can adversely affect precision or even cause an error. • Inputting a larger value for n increases the preci...

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2-35 Press K3(COMPLEX) to display the complex calculation number menu, which contains the following items. • { i } ... {imaginary unit i input} • { Abs } / { Arg } ... obtains {absolute value}/{argument} • { Conjg } ... {obtains...

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2-36 k Complex Number Format Using Polar Form Example 2 ∠ 30 × 3 ∠ 45 = 6 ∠ 75 !m(SET UP) cccccc 1(Deg) c3( r ∠  ) J Ac!v( ∠ ) da*d !v( ∠ ) efw k Absolute Value and Argument [OPTN] - [COMPLEX] - [Ab...

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2-37 k Conjugate Complex Numbers [OPTN] - [COMPLEX] - [Conjg] A complex number of the form a + b i becomes a conjugate complex number of the form a – b i . Example To calculate the conjugate complex number for the comple...

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2-38 7. Binary, Octal, Decimal, and Hexadecimal Calculations with Integers You can use the Run-Matrix mode and binary, octal, decimal, and hexadecimal settings to perform calculations that involve binary, octal, decimal and hexadecimal values...

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2-39 k Selecting a Number System You can specify decimal, hexadecimal, binary, or octal as the default number system using the Setup screen. u To perform a binary, octal, decimal, or hexadecimal calculation [SET UP] - [Mode] - [Dec]/[Hex]/[Bi...

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2-40 u Negative Values Example To determine the negative of 110010 2 !m(SET UP) Move the highlighting to “Mode”, and then press 4(Bin) J. A2(LOGIC) 1(Neg) bbaabaw • Negative binary, octal, and h...

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2-41 8. Matrix Calculations From the Main Menu, enter the Run-Matrix mode, and press 3( 'MAT) to perform Matrix calculations. 26 matrix memories (Mat A through Mat Z) plus a Matrix Answer Memory (MatAns), make it possible to p...

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2-42 u Creating a Matrix To create a matrix, you must first define its dimensions (size) in the Matrix Editor. Then you can input values into the matrix. u To specify the dimensions (size) of a matrix Example To create a 2-row × 3-column ma...

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2-43 u Deleting Matrices You can delete either a specific matrix or all matrices in memory. u To delete a specific matrix 1. While the Matrix Editor is on the display, use f and c to highlight the matrix you want to delete. 2. Press 1(D...

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2-44 u Row Calculations The following menu appears whenever you press 1(ROW-OP) while a recalled matrix is on the display. • { SWAP } ... {row swap} • { Row } ... {product of specified row and scalar} • { Row + } ... {addition of o...

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2-45 u To calculate the scalar multiplication of a row and add the result to another row Example To calculate the product of row 2 and the scalar 4, then add the result to row 3 1(ROW-OP) 3( Row+) Input multiplier value.* ...

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2-46 u To insert a row Example To insert a new row between rows one and two 2(ROW) c 2(INSERT) u To add a row Example To add a new row below row 3 2(ROW) cc 3(ADD) u Column Operations ...

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2-47 k Transferring Data between Matrices and CSV Files You can import the contents of a CSV file stored with this calculator or transferred from a computer into one of the matrix memories (Mat A through Mat Z, and MatAns). You also can save the co...

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2-48 Important! • When saving matrix data to a CSV file, some data is converted as described below. - Complex number data: Only the real number part is extracted. - Fraction data: Converted to calculation line format (Example: 2{3{4 → =2+3/4) -...

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2-49 u Matrix Data Input Format [OPTN] - [MAT] - [Mat] The following shows the format you should use when inputting data to create a matrix using the Mat command. = [ [a 11 , a 12 , ..., a 1 n ] [a 21 , a 22 , ..., a 2...

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2-50 u To check the dimensions of a matrix [OPTN] - [MAT] - [Dim] Use the Dim command to check the dimensions of an existing matrix. Example 1 To check the dimensions of Matrix A K2(MAT) 6( g) 2(Dim) 6( g) 1(Mat) av(A...

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2-51 Example 1 To assign 10 to the cell at row 1, column 2 of the following matrix: Matrix A = 1 2 3 4 5 6 baaK2(MAT) 1(Mat) av(A) !+(  ) b,c !-(  ) w Example 2 Multiply the ...

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2-52 u To assign the contents of a matrix column to a list [OPTN] - [MAT] - [Mat → Lst] Use the following format with the Mat → List command to specify a column and a list. Mat → List (Mat X, m ) → List n X = matrix ...

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2-53 u Matrix Arithmetic Operations [OPTN] - [MAT] - [Mat]/[Identity] Example 1 To add the following two matrices (Matrix A + Matrix B): K2(MAT) 1(Mat) av(A) + 1(Mat) al(B) w Example 2 To multiply t...

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2-54 u Matrix Transposition [OPTN] - [MAT] - [Trn] A matrix is transposed when its rows become columns and its columns become rows. Example To transpose the following matrix: Matrix A = 1 2 3 4 5 6 ...