Casio Fx-CG20 User Manual
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Casio Fx-CG20 User Manual

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Graphic Calculator
User Guide for
the operations of
the Fx-CG20.
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Summary of Contents for Casio Fx-CG20

  • Page 1 Graphic Calculator User Guide for the operations of the Fx-CG20.

  • Page 2: Preface

    This brief guide is intended as a workbook on the key applications and functionality of the Fx-CG20. For more detailed information, the user guide is also available. Casio’s range of Graphic calculators provide...

  • Page 3: Table Of Contents

    CONTENTS Preface ............... 2 Curves ............... 26 Table of contents ..........3 Functions with parameters ......... 27 Plotting images ..........28 Screen capture ( internal ) ........30 Device Overview ..........4 Keypad ..............4 Applications ............5 TABLE- Table Values Apply ......31 Reset ..............

  • Page 4: Device Overview

    Device Overview: Keypad 3-pin connector USB connection cable Options for commands and variables [ SHIFT ] Button – second assignment Functions button ( yellow ) Cursor [ ALPHA ] Button – Main Menu third assignment ( red ) Variables – Variable Button ( red ) allocation...

  • Page 5: Applications

    Applications OVERVIEW OF THE MAIN APPLICATION Run – Matrix Dynamic Graph Main application, calculations, Dynamic graphics numerical differentiation application, dynamic representation of and integration, random numbers, matrix algebra functions with arguments. and combinations. Statistics Equation Statistics application, Numerical equation solver. data entry and analysis, solving of equations and list functions, graphical...

  • Page 6: Reset

    Reset The Reset is used to reset the calculator to the factory default settings ( initialization ) or the Deleting Setup settings, variable eActivities, programs or add-ins. Often, a reset is required before exams. The following example deletes all data but retains installed additional programs ( Add-ins ) in memory. System settings open the system application.

  • Page 7: Main Menu & Menu Navigator

    Main Menu and Menu Navigation Application areas can be opened from the Main menu. [ MENU ] Main Menu With the key [ MENU ] , one can return to the Main menu. Opening and Closing an application Use the Cursor keys ( ^ ) ( < ) ( > ) to the desired application and open the application with [ EXE ] Alternatively, each application-icon is assigned a number or letter, which will take one directly to the application ( without using the [ ALPHA ] key.

  • Page 8: Basic Settings & Commands

    Basic Settings and Commands In the SETUP, default settings of each application can be changed. [ OPTN ] [ VARS ] Using the keys , depending on the application, commands and variables are entered SETUP In the SETUP, the basic settings for each application is set: [ SHIFT ] [ MENU ] ( SETUP ) Important settings in SETUP of RUN-MATRIx- application:...

  • Page 9: Run-Mat Applications

    RUN-MAT Applications: Simple Calculations ( Simple ) calculations are performed in the RUN-MATRIx-application. Input Mode The input Mode “Math” ( Natural Display ) is set in the applications RUN-MATRIx, TABLE, GRAPH, DYNOGRAPH nd EQUATIONS default. To select the Input Mode, the SETUP of each application is opened: [ SHIFT ] [ MENU ] [ F1 ] ( Input mode: Math ) .

  • Page 10: Input Options

    Input Options Inputs, also in already-running calculations, can be edited and changed. Inserting and Deleting Entries To insert: Place the cursor at the position the expression should be inserted. Make entries. Overwrite: [ SHIFT ] [ DEL ] To Delete: Place the cursor to the right of the expression to be deleted.

  • Page 11: Calculating With Commands

    Calculating with commands Command Structure Every calculation with a command has a specific structure: Command ( Term, Parameter ) . The number of parameters may vary according to the command. Parameters are seperated with [ , ] Example Calculation of zeros: SolveN ([ OPTN ] [ F4 ] [ F5 ]) : SolveN ( Term or Equation [ , Variable ] [ ,lower bound ] [ , upper bound ]) The lower and upper bound of the Variable may be omitted.

  • Page 12: Working With Variables/ Angles

    Working with Variables/Squares Since all calculations are numerically performed, the calculations with Variables must be assigned one value. Assigning Variable values To assign values to variables, the key [ --> ] must be used. Value --> Variable ( letters from A-Z with [ ALPHA ] - key ) Calculating with Variables Assigned values from 123 to the Variable A.

  • Page 13: Matrices In A Natural Display

    Matrices in a Natural Display The input mode, “ Natural Display” provides a simple method for calculations with matrices. Entering Matrices Access the Matrix template with: [ F4 ] ( MATH ) [ F1 ] ( MAT ) . Selection of rows- ( m ) and number of columns ( n ) with [ F1 ] to [ F3 ] and input the matrix entries using the Cursors.

  • Page 14: Matrix Editor

    Matrix Editor Matrix editor: Setting the matrix – Types Select a Matrix with the Cursor buttons ( ^ ) ( down ) and enter the rows- ( m ) and number of columns- ( n ) , e.g. [ 3 ] [ EXE ] [ 3 ] [ EXE ] [ EXE ] for a 3 x 3 Matrix.

  • Page 15: Calculating With Matrices

    Calculations with Matrices Arithmetic operations on Matrices By pressing the [ OPTN ] key and [ F2 ] , the arithmetic operations for the matrices will be shown, and can be selected, e.g.: – Determinant of Matrix A: [ OPTN ] [ F2 ] ( MAT ) [ F3 ] ( Det ) [ F1 ] ( Mat ) [ ALPHA ] [ X, Ø, T ] ( A ) –...

  • Page 16: Numerical Equation Solver

    Numerical Equation Solver The “Equation”- application is used for the numerical solving of equations. Three types of equations can be solved: – ( Uniquely solvable ) Linear Equation systems with 2-5 Unknowns. – Polynomial equations 2-6 Order. – General Equations ( Solver ) Selecting the Type of Equation Once the “Equations”- application is opened, a selection bar will appear.

  • Page 17: Graph- Graphics Application Overview

    GRAPh- Application overview: Menu The Graphic application is for the graphical representation of functions and their investigation. It has two main windows: the Graphic editor to enter the function terms, and the Graphic window to show graphs of functions. In the Graphic editor, up to 20 terms can be entered ( Y1-Y20 ) Entering Function Terms Function terms are entered with the help of the Variable- button [ X, Ø, T ] .

  • Page 18: Setup

    SETUP/Save Images SETUP of Graphic Windows Basic settings for the graphical representation: Angle: Square set Grid: Show or hide grid Axes: Show or hide coordinate axes Derivative: Display the derivative in the graphics window Dual Screen: Split screen Background: Show wallpaper Simul Graph: Display graphics simultaneously Save Image...

  • Page 19: Graphics Window

    The Graphics Window Inside the Graphics window, lies a variety of opportunities to display and also graphically analyse functions. Represent the function graphs of a selected function term using [ F6 ] TRACE [ F1 ] ZOOM [ F2 ] Follow a term using the Cursor keys Increase or decrease the display area for the Graphic.

  • Page 20: Trace

    TRACE [ F1 ] With the TRACE-function ( follow ) , graphs can be “expired”, e.g. for a first overview on a graph. Additionally, you can put special items together into a table of values using the TRACE- function. TRACE [ F1 ] Select the TRACE-function with the [ F1 ] -button.

  • Page 21: Zoom

    ZOOM [ F2 ] The points to set the Graphics window are found under the Menu item ZOOM. In addition to the ZOOM- tools ( e.g. Box ) there are preferences that can be helpful. BOX [ F1 ] With this function, an area can be selected and increased: After calling the Box-function, a cross will appear on the screen;...

  • Page 22: V-Win

    V-WIN [ F3 ] The Graphic window can be set to varied, in order to optimize the representation of the Graphs. Preferences help to quickly achieve early results. Preferences [ F1 ] [ F2 ] [ F3 ] INIT Default setting. The aspect ratios are adapted to the Panel resolution.

  • Page 23: Sketch

    SKETCH [ F4 ] In the SKETCH-Menu, various utility lines are generated. Overview of the SKETCH-Menu Delete sketches: Cls ( Clear Screen ) [ F1 ] Delete guides and calculated content area. Tangent: Tangent [ F2 ] [ F2 ] and with the Cursor keys or by entering a value of a point on the curve, confirm with [ EXE ] .

  • Page 24: G-Solve

    G-SOLVE [ F5 ] The drawn functions graph, are numerically analysed in the G-Solve- function. Multiple graphs are displayed and selected in the functions graph with the Cursor keys ( ^ ) ( down ) confirm selection with [ EXE ] Root [ F1 ] Determining a zero point.
  • Page 25 Further possible options in the G-SOLVE mode. Y-CAL [ F1 ] Y-value calculated ( x-value is called and the command is queried. ) X-CAL [ F2 ] Y-value calculated ( x-value is called and the command is queried. ) Integral ∫dx [ F3 ] Integral calculation: [ F1 ] Move the Cursor to the bottom first,...

  • Page 26: Curves

    Curves With the representation of curves, the influence of parameters are explained in a function. In the DYNA- application, families of curves can be dynamically represented ( see page 32. ) Curves Should be shown, for example, the function with Parameter K: f ( x ) = Kx^2 with KЄ{-1,0,5,0,5,1} Input Syntax: Functions term, [ Parameter= value, value,..., value ]...

  • Page 27: Functions With Parameters

    Functions with Parameters Functions with Parameters do not necessarily have to work with defined constants, but can modify the graphics window directly. Modify Parameters If a function parameter is selected, then the representation of the function is not DRAW, but [ F5 ] MODIFY. Modify the Parameters and select using the Cursor keys ( ^ ) ( down ) The parameter “step”...

  • Page 28: Plotting Images

    Open Images If the FILE>>OPEN has been selected, the directory structure of the calculator will be shown. In the CASIO folder, you will find two folders with image data: Animates images or image sequences. Image files If you have selected an image file, it will open. Now, the coordinate system can be adjusted using the Cursor keys.
  • Page 29 Image Plotter – Analyse Images Images can now be analysed- Points can be drawn and evaluated. Points, “Plotting” If the image is loaded, it allows the coordinate system to be adjusted with the Cursor keys. [ OPTN ] For further commands. [ F2 ] Plot Now, points can be plotted with the Cursor keys and the [ EXE ] - key.

  • Page 30: Screen Capture ( Internal )

    Store Graphics The screenshots in the Image plotter- application can be used; the CASIO-Format must be created. The images are saved directly from the application. For example, press in the Graphic application [ OPTN ] Then, a screenshot can be created with [ F1 ] ( PICTURE ) Invite Pictures If the FILE>>OPEN has been selected, the directory structure of the...
  • Page 31 The Table- Values Application The TABLE- application is used to create tables of values. The function terms in the Graphic editor are entered into the Value table application ( vice versa ) Entries of the Function Terms The Entry window is similar to the Graphic window, although with different assignments of the function keys.

  • Page 32: Dyna- Dynamic Graphics

    The DYNA- Application In the DYNA-Application, function graphs can be displayed dynamically. The input window is similar to the Graphics application. Input Input the function terms with variables. For the dynamic representation of function graph, only on function is selected. If necessary, deselect the function with SEL ([ F1 ]) Submenu VAR- Assign Values to Variables The variable is defined with [ F4 ] If the function contains several variables, here the dynamic variable...

  • Page 33: Display And Window Settings

    In the DYNA- application, similar to the Graphics application, background images can be saved. Representation In the overview window ( VAR ) with [ F6 ] ( DYNA ) , the graph are shown. Since initially all the graphs are calculated, the process may take a little longer than usual.

  • Page 34: Stat- Statistics Application

    STAT- Statistics application In the Statistics application, Data in lists can be entered and ( graphically ) evaluated. A description of the columns is possible. Example: a Transcript of class work Note ( Feature ) Number ( Expression ) Enter the Data into the list: end each entry with [ EXE ] In the cell SUB, the list with a name can be provided.

  • Page 35: Statistical Parameters & Commands

    Evaluation of the Histograms - ) , the sum of The statistical parameters and for instance, the mean ( the squares of data ( ∑x2 ) or the standard deviation ( σx ) are shown using [ F1 ] ( 1-VAR ) Instructions for editing Lists For processing lists, various commands in the statistics application as well as in the RUN-MAT application are available:...

  • Page 36: Regression

    Regression With the given or calculated data, it is possible to create the Regression and determine the function terms. Note ( Feature ) Number ( Expression ) 1,58 3,26 4,84 6,38 Regression Data is given in the list. It is useful, for graphically representing the data of the regression, e.g.

  • Page 37: Binomial Distribution

    Binomial Distribution Example: Simulation of a cube experiment Calculate the probability that at the 30th dice roll: a ) 5-times b ) x-times a 6 is rolled. Assistant to Calculate the Binomial Distribution In the Statistics- application, the assistant to calculate the Binomial Distribution is located by pressing: [ F5 ] ( DIST ) [ F5 ] ( BINM ) ( DIST, engl.
  • Page 38 Binomial Distribution Example: Simulation of a cube experiment Calculate the probability that at the 30th dice roll: a ) 5-times b ) x-times a 6 is rolled. Proposed Solution for b ) x={1,2,...30} ( Number of rolls ) ; N=30 ( Number of trials ) ’ p=1/6 ( probability of success ) The list of number of rolls is hit with the seq-command ( follow Command ) to create a list in List 1.

  • Page 39: Spreadsheet Calculations

    The Spreadsheet The Main Window Using the Spreadsheet, a FILE can be created ( NEW ) , opened ( OPEN ) or saved ( SAVE-AS ) . In the cells, values, test or formulae can be entered. Cell contents can be copied and pasted into another cell, e.g.

  • Page 40: Copy And Fill Areas

    The Spreadsheets SETUP When a formula contains an error, there will be an error message next to the re-calculations. The automatic re-calculation can be turned off in the SETUP with Auto Calc: Off In order for more decimal places to be shown, one must set “Value” under Show Cell in the SETUP.

  • Page 41: Format Cells/ Colour

    The Spreadsheets New possibilities are given in the spreadsheet with the new colour display. Cells, values and also the graphs can be tinted. Settings-FORMAT Standard is the monochrome display of values and graphs. Select the cell that you would like to colour, then press: [ SHIFT ] [ 5 ] - Format Now, you can change the “character colour.”...

  • Page 42: E.activity

    The eActivity application Interactive worksheets can be created from the eActivity application. Different work areas can be linked and extensive tasks can be documented in the eActivity application. The main window First, an eActivity- data file is created and a name is provided: [ F2 ] ( NEW ) , enter the name using [ EXE ] and confirm.

  • Page 43: Save

    Transfer to the PC The CASIO Fx-CG20 functions as USB-mass storage. When you connect the Fx-CG20 to the PC via the USB, the contents of the calculator will show as a drive. Here you have access to all Data and images, that were saved onto the calculator.

  • Page 44: Link- Application

    Screenshots/Creating Bitmaps ( PC use ) As the CASIO fx-CG20 can work as a USB- mass storage, images can be Drag&Dropped to transfer to a PC. Default settings- LINK application In the Link- application, the Image-transfer must be activated. In the Link- application:...

  • Page 45: Data Transfer- Calculator- Calculator

    ~ [ F1 ] ( Transmit ) ~ [ F2 ] ( Receive ) ~ [ F1 ] or [ F2 ] ( select location ) ~ enter password, “casio” ~ [ F1 ] ( Select ) ~ select Program, eActivity etc...

  • Page 46: Overview Of Selected Commands

    Overview of Selected Commands Commands and functions, that are not found on the first, second or third assignment of keys, are called using the [ OPTN ] button. Command input using [ ALPHA ] and letters will lead to an Note: error message! Description...
  • Page 47 Description Command Syntax Button Sequence [ OPTN ] [ F6 ] ( ) [ F4 ] ( NUM ) [ F4 ] Round the number x. Rnd x Std Dev ( List N [ , List M ]) [ OPTN ] [ F5 ] ( STAT ) [ F4 ] Standard deviation of the elements of list N with the frequency list M.
  • Page 48 Notes...
  • Page 49 Notes...
  • Page 50 Index History Memory ............10 Faculty ..............46 FILL ( TK- application ) ..........40 Absolute references ( TK- application ) ......39 ALPHA- Button ............4 Area Calculation ............ 9, 25 Frequency ..............34 Applications ..............5 Function Keys .............. 7 ANS ................
  • Page 51 Index Median ..............35 Language Setting ............7 SQR ( ZOOM/ Graphic application ) ......21 MENU ................. 7 Minimum ( Graphics application ) ........ 24 Traces ( DYNA application ) ......... 29 Statistics application ..........34 Average ..............35 STD ( V-WIN/ Graphic application ) ......
  • Page 52 www.casio.co.uk/education...

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