Casio fx9860G manual

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A good user manual

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Table of contents for the manual

  • Page 1

    fx-9860G S e rie s S of t w are V ersi o n 1.10 User’ s Guide E CASIO W orldwide Education W ebsite http://edu.casio .com CASIO EDUCA TIONAL FOR UM http://edu.casio .com/f orum/[...]

  • Page 2

    20070201 TURNING PO WER ON AND OFF USING MODES B ASIC CALCULA TIONS REPLA Y FEA TURE FRA CTION CALCULA TIONS EXPONENTS ONBO ARD FUNCTION MANU AL GRAPH FUNCTIONS DU AL GRAPH D YNAMIC GRAPH T ABLE FUNCTION Quick-Start[...]

  • Page 3

    20070201 Quick-Star t W elcome to the world of graphing calculators. Quick-Start is not a complete tutor ial, b ut it tak es you through man y of the most common functions, from turning the power on, and on to gr aphing comple x equations. When you’ re done, y ou’ll hav e mastered the basic operation of this calculator and will be ready to proc[...]

  • Page 4

    20070201 2. Use defc to highlight RUN • MA T and then press w . This is the initial screen of the RU N • MA T mode, where you can perf or m manual calculations , matrix calculations, and run programs . BASIC CALCULA TIONS With manual calculations, y ou input formulas from left to right, just as they are written on paper . With formulas that inc[...]

  • Page 5

    20070201 1. Press !m to display the Setup screen. 2. Press cccccc 1 (Deg) to specify degrees as the angle unit. 3. Press J to clear the menu. 4. Press o to clear the unit. 5. Press cf* s ef w . REPLA Y FEA TURE With the repla y feature , simply press d or e to recall the last calculation that was perf or med so y ou can make changes or re-e xecute [...]

  • Page 6

    20070201 FRACTION CALCULA TIONS Y ou can use the $ ke y to input fractions into calculations. The symbol “ { ” is used to separate the v arious par ts of a fraction. Example: 31 / 16 + 37 / 9 1. Press o . 2. Press db $ bg+ dh $ j w . Indicates 871 / 144 Converting an Improper Fraction to a Mixed Fraction While an improper fraction is shown on t[...]

  • Page 7

    20070201 EXPONENTS Example: 1250 × 2.06 5 1. Press o . 2. Press bcfa*c.ag . 3. Press M and the ^ indicator appears on the display . 4. Press f . The ^5 on the display indicates that 5 is an e xponent. 5. Press w . ONBOARD FUNCTION MANUAL Y ou can use the catalog function to display the command onboard function manual. The onboard function manual i[...]

  • Page 8

    20070201 4. Press 5 (HELP). Onboard function manual GRAPH FUNCTIONS The graphing capabilities of this calculator mak es it possible to dr aw comple x graphs using either rectangular coordinates (horizontal axis: x ; v er tical axis: y ) or polar coordinates (angle: θ ; distance from origin: r ). All of the f ollowing gr aphing examples are perf or[...]

  • Page 9

    20070201 Example 2: T o deter mine the roots of Y = X(X + 1)(X – 2) 1. Press !5 (G-SL V). 2. Press 1 (ROO T). Press e for other roots . Example 3: Determine the area bounded by the origin and the X = –1 root obtained for Y = X(X + 1)(X – 2) 1. Press !5 (G-SL V) 6 ( g ). 2. Press 3 ( ∫ dx ). 3. Use d to move the pointer to the location where[...]

  • Page 10

    20070201 DUAL GRAPH With this function you can split the displa y between two areas and displa y two graph windows . Example: T o draw the f ollowing tw o graphs and determine the points of intersection Y1 = X(X + 1)(X – 2) Y2 = X + 1.2 1. Press ! m cc 1 (G+G) to specify “G+G” f or the Dual Screen setting. 2. Press J , and then input the two [...]

  • Page 11

    20070201 3. Use d e f c to mov e the pointer again. As you do , a box appears on the displa y . Mov e the pointer so the bo x encloses the area you want to enlarge . 4. Press w , and the enlarged area appears in the inactive (right side) screen. DYNAMIC GRAPH Dynamic Graph lets y ou see how the shape of a gr aph is affected as the v alue assigned t[...]

  • Page 12

    20070201 4. Press 4 (V AR) b w to assign an initial value of 1 to coeffi cient A. 5. Press 2 (SET) b w d w b w to specify the range and increment of change in coeffi cient A. 6. Press J . 7. Press 6 (D YNA) to star t Dynamic Graph dra wing. The graphs are dr awn 10 times . • T o interr upt an ongoing Dynamic Graph dra wing operation, press o . [...]

  • Page 13

    20070201 T ABLE FUNCTION The T able Function mak es it possib le to generate a table of solutions as diff erent values are assigned to the v ar iables of a function. Example: T o create a number tab le for the f ollowing function Y = X (X+1) (X–2) 1. Press m . 2. Use defc to highlight T ABLE , and then press w . 3. Input the f ormula. v ( v +b) ([...]

  • Page 14

    20070201 Pr ecautions when Using this Pr oduct A progress bar and/or a busy indicator appear on the displa y whenev er the calculator is performing a calculation, writing to memor y (including Flash memor y), or reading from memory (including Flash memor y). Busy indicator Progress bar Nev er press the P button or remov e the batteries from the cal[...]

  • Page 15

    20070201 • The contents of this user’ s guide are subject to change without notice. • No par t of this user’ s guide may be reproduced in an y f orm without the express written consent of the manuf acturer . • The options described in Chapter 12 of this user’s guide ma y not be availab le in cer tain geographic areas . For full details [...]

  • Page 16

    20070201 Contents Getting Acquainted — Read This First! Chapter 1 Basic Operation 1-1 K eys .................................................................................................. 1-1-1 1-2 Displa y .............................................................................................. 1-2-1 1-3 Inputting and Editing Calculation[...]

  • Page 17

    20070201 Chapter 5 Graphing 5-1 Sample Graphs ................................................................................. 5-1-1 5-2 Controlling What Appears on a Graph Screen .................................. 5-2-1 5-3 Dra wing a Graph ............................................................................... 5-3-1 5-4 Storing a Graph i[...]

  • Page 18

    20070201 3 Contents Chapter 8 Programming 8-1 Basic Programming Steps ................................................................ 8-1-1 8-2 PRGM Mode Function K eys .............................................................. 8-2-1 8-3 Editing Program Contents ................................................................. 8-3-1 8-4 File M[...]

  • Page 19

    20070201 4 Contents Appendix 1 Error Message T able ........................................................................... α -1-1 2 Input Ranges ....................................................................................... α -2-1[...]

  • Page 20

    20070201 Getting Acquainted — Read This First! About this User’ s Guide u ! x ( ' ) The abov e indicates you should press ! and then x , which will input a ' symbol. All multiple-ke y input operations are indicated like this. K ey cap markings are shown, f ollowed by the input character or command in parentheses . u m EQU A This indic[...]

  • Page 21

    20070201 0-1-1 Getting Acquainted u Graphs As a general rule, graph oper ations are shown on facing pages , with actual graph e xamples on the r ight hand page. Y ou can produce the same graph on y our calculator by perf or ming the steps under the Procedure abov e the graph. Look for the type of g raph y ou want on the right hand page, and then go[...]

  • Page 22

    20070201 Basic Operation 1-1 Ke ys 1-2 Display 1-3 Inputting and Editing Calculations 1-4 Option (OPTN) Menu 1-5 V ariable Data (V ARS) Menu 1-6 Program (PRGM) Men u 1-7 Syntax Help 1-8 Using the Setup Screen 1-9 Using Screen Capture 1-10 When y ou keep having pr oblems… 1 Chapter[...]

  • Page 23

    20070201 1-1 Ke ys k Key Index Key Primary Function Combined with ! Combined with a T race 1 Selects 1st function menu item. P erforms trace operation (see page 5-11-1). Zoom 2 Selects 2nd function menu item. P erforms zoom operation (see page 5-2-7). V -Window 3 Selects 3rd function menu item. Displays V -Window parameter input screen (see page 5-[...]

  • Page 24

    20070201 Key Primary Function Combined with ! Combined with a QUIT J Back steps to the pre vious screen without making any changes. Retur ns directly to initial screen of the mode. f Moves cursor upw ard. Scrolls screen. Switches to previous function in trace mode. Scrolls one screen up in the e • AC T or RUN • MA T (Math input mode) mode. c Mo[...]

  • Page 25

    20070201 Key Primary Function Combined with ! Combined with a K , Enters comma. T ransitions from an application launched from an eActivity to another application (see page 10-3-13). (Enabled only in an eActivity .) Enters letter K. L a Assigns value to an Alpha memory name (see page 2-2-1). T oggles between an eActivity and the screen of an applic[...]

  • Page 26

    20070201 Key Primary Function Combined with ! Combined with a W d Enters number 3. Enters letter W . [ X + Addition function (see page 2-1-1). Specifi es positiv e value . Enters open brack et. Enters letter X. ] Y - Subtraction function (see page 2-1-1). Specifi es negativ e value . Enters close brack et. Enters letter Y . i Z a Enters number 0.[...]

  • Page 27

    20070201 k Key Markings Many of the calculator’ s keys are used to perf or m more than one function. The functions marked on the ke yboard are color coded to help you fi nd the one you need quic kly and easily . Function Key Operation 1 log l 2 10 x !l 3 B al The follo wing describes the color coding used for k ey markings. Color Key Operation O[...]

  • Page 28

    20070201 1-2-1 Display 1-2 Displa y k Selecting Icons This section describes how to select an icon in the Main Menu to enter the mode you w ant. u T o select an icon 1. Press m to display the Main Menu. 2. Use the cursor ke ys ( d , e , f , c ) to mov e the highlighting to the icon you w ant. Currently selected icon 3. Press w to display the initia[...]

  • Page 29

    20070201 1-2-2 Display Icon Mode Name Description S ¥ SHT (Spreadsheet) Use this mode to perform spreadsheet calculations. Each Þ le contains a 26-column × 999-line spreadsheet. In addition to the calculatorÕ s built-in commands and S ¥ SHT mode commands, y ou can also perform statistical calculations and graph statistical data using the same [...]

  • Page 30

    20070201 k About the Function Menu Use the function ke ys ( 1 to 6 ) to access the menus and commands in the menu bar along the bottom of the display screen. Y ou can tell whether a menu bar item is a menu or a command by its appearance . • Next Menu Example: Selecting displa ys a menu of hyperbolic functions . • Command Input Example: Selectin[...]

  • Page 31

    20070201 k Normal Display The calculator normally displays values up to 10 digits long. V alues that exceed this limit are automatically conv er ted to and display ed in exponential format. u How to interpret exponential f ormat 1.2 E +12 indicates that the result is equivalent to 1.2 × 10 12 . This means that you should mov e the decimal point in[...]

  • Page 32

    20070201 k Special Display Formats This calculator uses special display f or mats to indicate fractions, he xadecimal values , and degrees/minutes/seconds v alues. u F ractions ................... Indicates: 456 12 23 u Hexadecimal V alues ................... Indicates: 0ABCDEF1 (16) , which equals 180150001 (10) u Degrees/Minutes/Seconds .........[...]

  • Page 33

    20070201 1-3 Inputting and Editing Calculations Note • Unless specifi cally noted otherwise, all of the oper ations in this section are explained using the Linear input mode. k Inputting Calculations When you are ready to input a calculation, fi rst press A to clear the display . Next, input y our calculation formulas e xactly as they are writt[...]

  • Page 34

    20070201 In the Linear input mode, pressing !D (INS) changes the cursor to ‘ ‘ ’’ . The next function or v alue you input is ov erwritten at the location of ‘ ‘ ’’ . Ac ga ddd !D (INS) s T o abor t this operation, press !D (INS) again. u T o delete a step Example T o change 369 × × 2 to 369 × 2 A dgj**c d D In the inser t mode, t[...]

  • Page 35

    20070201 1-3-3 Inputting and Editing Calculations u T o insert a step Example T o change 2.36 2 to sin2.36 2 A c.dg x ddddd s u T o change the last step you input Example T o change 369 × 3 to 369 × 2 A dgj*d D c[...]

  • Page 36

    20070201 k Using Replay Memory The last calculation performed is alwa ys stored into replay memory . Y ou can recall the contents of the replay memory by pressing d or e . If you press e , the calculation appears with the cursor at the beginning. Pressing d causes the calculation to appear with the cursor at the end. Y ou can make changes in the ca[...]

  • Page 37

    20070201 1-3-5 Inputting and Editing Calculations # The cop y range of text y ou can specify depends on the current “Input Mode” setting. Linear input mode: 1 character 1 line Multiple lines Math input mode: 1 line only k Making Corrections in the Original Calculation Example 14 ÷ 0 × 2.3 entered by mistake for 14 ÷ 10 × 2.3 A be/a*c.d w Pr[...]

  • Page 38

    20070201 3. Press 1 (COPY) to copy the highlighted te xt to the clipboard, and exit the cop y range specifi cation mode. The selected characters are not changed when you copy them. T o cancel text highlighting without performing a cop y operation, press J . Math input mode 1. Use the cursor keys to mov e the cursor to the line you want to cop y . [...]

  • Page 39

    20070201 u P asting T ext Mov e the cursor to the location where you w ant to paste the text, and then press ! j (P ASTE). The contents of the clipboard are pasted at the cursor position. A ! j (P ASTE) k Catalog Function The catalog function provides y ou with an alphabetized menu of commands that y ou can use for input. Y ou also can input a comm[...]

  • Page 40

    20070201 3. Use f and c to select the command you want to input. This is the explanation te xt for the currently selected command. 1 (INPUT)... {inputs the selected command} 2 (e.g.)... {inputs the example of the selected command} Example input can be performed in the RUN • MA T mode (for the arithmetic calculation mode only , not the Matrix Edit[...]

  • Page 41

    20070201 • The follo wing are the categories that appear on the categor y selection screen. 1:All .................................. All commands 2:Calculation ..................... Calculation commands, including matrix operation and ENG symbols 3:Statistics ......................... Statistical calculation commands, v ariables, and statistical [...]

  • Page 42

    20070201 k Input Operations in the Math Input Mode Selecting “Math” for the “Input Mode” setting on the Setup screen (page 1-8-1) turns on the Math input mode, which allows natur al input and displa y of cer tain functions, just as they appear in your te xtbook. Note • The initial default “Input Mode” setting is “Linear” (Linear i[...]

  • Page 43

    20070201 u Math Input Mode Functions and Symbols The functions and symbols listed below can be used f or natural input in the Math input mode. The “Bytes” column shows the number of b ytes of memor y that are used up by input in the Math input mode. Function/Symbol Key Operation Bytes Fr action (Improper) $ 9 Mixed F raction* 1 !$ ( & ) 14 [...]

  • Page 44

    20070201 u Using the MA TH Menu In the RU N • MA T mode, pressing 4 (MA TH) displays the MA TH menu. Y ou can use this menu for natur al input of matrices, diff erentials, integrals , etc. • { MA T } ... {displays the MA T submenu, f or natural input of matrices} • { 2 × 2 } ... {inputs a 2 × 2 matrix} • { 3 × 3 } ... {inputs a 3 × 3 ma[...]

  • Page 45

    20070201 Example 2 T o input ( ) 1+ 2 5 2 A (b+ $ c c f e ) x w J Example 3 T o input 1+ x + 1 dx 0 1 A b+ 4 (MA TH) 6 ( g ) 1 ( ∫ dx ) a + (X) +b e a f b e w J 1-3-13 Inputting and Editing Calculations[...]

  • Page 46

    20070201 Example 4 T o input 2 × 1 2 2 1 2 2 A c* 4 (MA TH) 1 (MA T) 1 (2×2) $ b c c ee !x ( ' ) c e e !x ( ' ) c ee $ b c c w u When the calculation does not fi t within the display window Arrows appear at the left, right, top , or bottom edge of the display to let y ou know when there is more of the calculation off the screen in the [...]

  • Page 47

    20070201 u Inserting a Function into an Existing Expression In the Math input mode, y ou can make insert a natural input function into an existing expression. Doing so will cause the value or parenthetical e xpression to the right of the cursor to become the argument of the inser ted function. Use !D (INS) to inser t a function into an existing e x[...]

  • Page 48

    20070201 u Functions that Support Inser tion The follo wing lists the functions that can be inser ted using the procedure under “T o inser t a function into an existing e xpression” (page 1-3-15). It also provides information about how inser tion affects the e xisting calculation. Function Key Operation Original Expression Expression After Inse[...]

  • Page 49

    20070201 • Note the follo wing cursor operations you can use while inputting a calculation with natur al display f or mat. T o do this: Press this key: Move the cursor from the end of the calculation to the beginning e Move the cursor from the beginning of the calculation to the end d u Math Input Mode Calculation Result Display F ractions , matr[...]

  • Page 50

    20070201 1-3-18 Inputting and Editing Calculations u Math Input Mode Input Restrictions Note the follo wing restrictions that apply during input of the Math input mode. • Cer tain types of expressions can cause the v er tical width of a calculation formula to be greater than one displa y line. The maximum allowable v er tical width of a calculati[...]

  • Page 51

    20070201 1-4 Option (OPTN) Menu The option menu giv es you access to scientifi c functions and features that are not mark ed on the calculator’ s keyboard. The contents of the option menu diff er according to the mode you are in when you press the K key . See “8-7 PRGM Mode Command List” f or details on the option (OPTN) menu. u Option menu [...]

  • Page 52

    20070201 u Option menu during numeric data input in the ST A T , T ABLE, RECUR, EQU A and S • SHT modes • { LIST } / { CPLX } / { CALC } / { HYP } / { PROB } / { NUM } / { ANGL } / { ESYM } / { FMEM } / { LOGIC } u Option menu during form ula input in the GRAPH, D YNA, T ABLE, RECUR and EQU A modes • { List } / { CALC } / { HYP } / { PROB } /[...]

  • Page 53

    20070201 1-5 V ariable Data (V ARS) Menu T o recall variable data, press J to display the v ariable data menu. { V -WIN } / { FA C T } / { S TAT } / { GRPH } / { D YNA } / { T ABL } / { RECR } / { EQU A * 1 } / { TVM * 1 } See “8-7 PRGM Mode Command List” f or details on the variab le data (V ARS) menu. u V -WIN — Recalling V -Window values ?[...]

  • Page 54

    20070201 u ST A T — Recalling statistical data • { X } … {single-variable, paired-v ar iable x -data} • { n } / { ¯ x } / { Σ x } / { Σ x 2 } / { x σ n } / { x σ n –1 } / { minX } / { maxX } … {number of data}/{mean}/{sum}/{sum of squares}/{population standard deviation}/{sample standard de viation}/{minimum value}/{maximum v alue}[...]

  • Page 55

    20070201 u GRPH — Recalling Graph Functions • { Y } / { r } ... {rectangular coordinate or inequality function}/{polar coordinate function} • { Xt } / { Yt } ... parametr ic graph function {Xt}/{Yt} • { X } ... {X=constant graph function} (Press these ke ys bef ore inputting a value to specify a storage memory .) u D YNA — Recalling Dynam[...]

  • Page 56

    20070201 u RECR — Recalling Recursion Form ula* 1 , T able Range, and T able Content Data • { FORM } ... {recursion formula data menu} • { a n } / { a n +1 } / { a n +2 } / { b n } / { b n +1 } / { b n +2 } / { c n } / { c n +1 } / { c n +2 } ... { a n }/{ a n +1 }/{ a n +2 }/{ b n }/{ b n +1 }/{ b n +2 }/{ c n }/{ c n +1 }/{ c n +2 } express[...]

  • Page 57

    20070201 1-6 Pr ogram (PRGM) Menu T o display the program (PRGM) menu, fi rst enter the RUN • MA T or PRGM mode from the Main Menu and then press ! J (PRGM). The following are the selections a vailab le in the program (PRGM) menu. • { COM } ...... {progr am command menu} • { CTL } ....... {progr am control command menu} • { JUMP } ..... {j[...]

  • Page 58

    20070201 1-7 Syntax Help When you input a command, syntax help displa ys its syntax. u T o display syntax help 1. Input a command. • This will cause syntax inf ormation to appear. Syntax help 2. Syntax help will disappear when you press the next k ey . u T o redisplay syntax help After you input a command and press another k ey (which causes synt[...]

  • Page 59

    20070201 1-8 Using the Setup Screen The mode’ s Setup screen shows the current status of mode settings and lets you make an y changes you w ant. The f ollowing procedure shows how to change a setup . u T o change a mode setup 1. Select the icon you want and press w to enter a mode and display its initial screen. Here we will enter the RU N • MA[...]

  • Page 60

    20070201 u Frac Result (fraction result display format) • { d/c } / { ab/c } ... {improper}/{mixed} fraction u Func T ype (graph function type) Pressing one of the follo wing function ke ys also s witches the function of the v key . • { Y= } / { r= } / { Pa r m } / { X=c } ... {rectangular coordinate}/{polar coordinate}/{parametr ic coordinate}[...]

  • Page 61

    20070201 u Label (graph axis label display) • { On } / { Off } ... {display on}/{display off} u Syntax Help (syntax help display setting) • { On } / { Off } ... {display on}/{displa y off} u Display (display f ormat) • { Fix } / { Sci } / { Norm } / { Eng } ... {fi x ed number of decimal places specifi cation}/{number of signifi cant digit[...]

  • Page 62

    20070201 u Background (graph displa y background) • { None } / { PICT } ... {no background}/{graph bac kground picture specifi cation} u Sketch Line (o verlaid line type) • { } / { } / { } / { } ... {nor mal}/{thick}/{broken}/{dot} u Dynamic T ype (dynamic graph type) • { Cnt } / { Stop } ... {non-stop (continuous)}/{automatic stop after 10 [...]

  • Page 63

    20070201 * 1 The 365-da y year must be used f or date calculations in the TVM mode. Otherwise, an error occurs. * 2 Selecting “F or m” (f ormula) causes a formula in the cell to be display ed as a f ormula. The “Form” does not affect an y non-formula data in the cell. * 3 Specifi es the direction the cell cursor mo ves when you press the w[...]

  • Page 64

    20070201 1-9-1 Using Screen Capture 1-9 Using Screen Capture Any time while operating the calculator , you can capture an image of the current screen and sav e it in capture memory . u T o capture a screen image 1. Operate the calculator and displa y the screen you w ant to capture. 2. Press ! h (CAPTURE). • This displays a memory area selection [...]

  • Page 65

    20070201 1-10-1 When you k eep having prob lems… 1-10 When y ou keep having pr oblems… If you k eep having prob lems when you are trying to perform operations, try the follo wing before assuming that there is something wrong with the calculator . k Getting the Calculator Back to its Original Mode Settings 1. F rom the Main Menu, enter the SYSTE[...]

  • Page 66

    20070201 k Low Battery Message If the follo wing message appears on the displa y , immediately tur n off the calculator and replace batteries as instructed. If you continue using the calculator without replacing batteries, po wer will automatically turn off to protect memory contents. Once this happens, y ou will not be able to turn power bac k on,[...]

  • Page 67

    20070201 Manual Calculations 2-1 Basic Calculations 2-2 Special Functions 2-3 Specifying the Angle Unit and Display Format 2-4 Function Calculations 2-5 Numerical Calculations 2-6 Complex Number Calculations 2-7 Binary , Octal, Decimal, and Hexadecimal Calculations with Integers 2-8 Matrix Calculations 2 Linear/Math input mode (page 1-3-10) • Unl[...]

  • Page 68

    20070201 2-1-1 Basic Calculations 2-1 Basic Calculations k Arithmetic Calculations • Enter arithmetic calculations as they are written, from left to r ight. • Use the - key to input the min us sign before a negativ e value. • Calculations are performed internally with a 15-digit mantissa. The result is rounded to a 10-digit mantissa before it[...]

  • Page 69

    20070201 2-1-2 Basic Calculations * 1 Displayed v alues are rounded off to the place you specify . k Number of Decimal Places, Number of Signifi cant Digits, Normal Display Range [SET UP] - [Display] - [Fix] / [Sci] / [Norm] • Even after y ou specify the number of decimal places or the number of signifi cant digits, internal calculations are st[...]

  • Page 70

    20070201 Example 200 ÷ 7 × 14 = 400 Condition Operation Display 200 / 7 * 14 w 400 3 decimal places !m (SET UP) f (or c 12 times) 1 (Fix) d wJw 400.000 Calculation continues using display capacity of 10 digits 200 / 7 w * 14 w 28.571 Ans × I 400.000 • If the same calculation is performed using the specifi ed n umber of digits: 200 / 7 w 28.57[...]

  • Page 71

    20070201 2-1-4 Basic Calculations 2 T ype B functions With these functions , the value is entered and then the function k ey is pressed. x 2 , x –1 , x ! , ° ’ ”, ENG symbols, angle unit ° , r , g 3 P ower/root ^( x y ), x ' 4 Fr actions a b / c 5 Abbreviated m ultiplication format in front of π , memor y name, or v ariable name. 2 π[...]

  • Page 72

    20070201 2-1-5 Basic Calculations # Most of the calculator’s k eys are inoper ative while an error message is display ed. Press J to clear the error and display the error position (see page 1-3-5). # See the “Error Message T able” on pag e α -1-1 for inf or mation on other errors. k Multiplication Operations without a Multiplication Sign Y o[...]

  • Page 73

    20070201 • When you try to perform a calculation that causes memor y capacity to be exceeded (Memory ERROR). • When you use a command that requires an argument, without providing a v alid argument (Argument ERROR). • When an attempt is made to use an illegal dimension during matr ix calculations (Dimension ERROR). • When you are in the real[...]

  • Page 74

    20070201 2-2 Special Functions k Calculations Using V ariables Example Operation Display 193.2 a av (A) w 193.2 193.2 ÷ 23 = 8.4 av (A) / 23 w 8.4 193.2 ÷ 28 = 6.9 av (A) / 28 w 6.9 k Memor y u V ariables (Alpha Memory) This calculator comes with 28 variables as standard. Y ou can use variables to store v alues you w ant to use inside of calculat[...]

  • Page 75

    20070201 u T o display the contents of a v ariable Example T o display the contents of v ariable A Aav (A) w u T o clear a v ariable Example T o clear v ariable A A a a av (A) w u T o assign the same value to more than one v ariable [value] a [fi rst v ar iable name* 1 ] a3 (~) [last variable name* 1 ] w Example T o assign a value of 10 to v ariab[...]

  • Page 76

    20070201 u T o store a function Example T o store the function (A+B) (A–B) as function memory number 1 ( av (A) + al (B) ) ( av (A) - al (B) ) K 6 ( g ) 6 ( g ) 3 (FMEM) 1 (STO) b w JJJ u T o recall a function Example T o recall the contents of function memor y number 1 K 6 ( g ) 6 ( g ) 3 (FMEM) 2 (RCL) b w u T o recall a function as a variable [...]

  • Page 77

    20070201 2-2-4 Special Functions u T o delete a function Example T o delete the contents of function memory number 1 A K 6 ( g ) 6 ( g ) 3 (FMEM) 1 (STO) b w • Executing the store operation while the displa y is blank deletes the function in the function memory you specify . u T o use stored functions Example T o store x 3 + 1, x 2 + x into funct[...]

  • Page 78

    20070201 k Answer Function The Answ er Function automatically stores the last result you calculated b y pressing w (unless the w ke y operation results in an error). The result is stored in the ans wer memory . u T o use the contents of the answer memory in a calculation Example 123 + 456 = 579 789 – 579 = 210 A bcd+efg w hij- !- (Ans) w In the M[...]

  • Page 79

    20070201 2-2-6 Special Functions k Histor y Function The history function maintains a histor y of calculation expressions and results in the Math input mode. Up to 30 sets of calculation expressions and results are maintained. b+c w *c w Y ou can also edit the calculation expressions that are maintained b y the history function and recalculate. Thi[...]

  • Page 80

    20070201 k Stacks The unit employs memory bloc ks, called stacks , f or storage of low priority values and commands. There is a 10-le vel numer ic value stac k , a 26-lev el command stack , and a 10-lev el program subroutine stac k . An error occurs if you perf or m a calculation so complex that it exceeds the capacity of a vailable numeric v alue [...]

  • Page 81

    20070201 k Using Multistatements Multistatements are formed by connecting a n umber of individual statements for sequential ex ecution. Y ou can use multistatements in manual calculations and in programmed calculations. There are two diff erent ways that y ou can use to connect statements to form multistatements. • Colon (:) Statements that are c[...]

  • Page 82

    20070201 2-3 Specifying the Angle Unit and Display Format Before perf or ming a calculation for the fi rst time, y ou should use the Setup screen to specify the angle unit and display f or mat. k Setting the Angle Unit [SET UP] - [Angle] 1. On the Setup screen, highlight “Angle”. 2. Press the function ke y for the angle unit y ou want to speci[...]

  • Page 83

    20070201 u T o specify the number of signifi cant digits ( Sci) Example T o specify three signifi cant digits 2 (Sci) d w Press the number k ey that corresponds to the number of signifi cant digits you want to specify ( n = 0 to 9). Specifying 0 makes the n umber of signifi cant digits 10. u T o specify the normal display ( Norm 1/Norm 2) Press[...]

  • Page 84

    20070201 2-4 Function Calculations k Function Menus This calculator includes fi v e function menus that giv e you access to scientifi c functions not printed on the key panel. • The contents of the function menu differ according to the mode y ou entered from the Main Menu bef ore you pressed the K key . The f ollowing examples sho w function me[...]

  • Page 85

    20070201 * 1 The { ° ’ ” } menu operation is a vailab le only when there is a calculation result on the display . * 2 The {ENG} and {ENG} menu operations are av ailable only when there is a calculation result on the display . u Angle Units, Coor dinate Conversion, Sexagesimal Operations (ANGL) [OPTN] - [ANGL] • { ° } / { r } / { g } ... {de[...]

  • Page 86

    20070201 k Angle Units T o change the angle unit of an input value, fi rst press K 6 ( g ) 5 (ANGL). On the function ke y menu that appears, select “ ° ”, “r”, or “g”. • Be sure to specify Comp for Mode in the Setup screen. Example Operation T o conv er t 4.25 rad to degrees: 243.5070629 !m (SET UP) cccccc 1 (Deg) J 4.25 K 6 ( g ) 5[...]

  • Page 87

    20070201 k T rigonometric and In verse T rigonometric Functions • Be sure to set the angle unit before perf or ming trigonometr ic function and inverse trigonometric function calculations. • Be sure to specify Comp for Mode in the Setup screen. Example Operation sin 63° = 0.8910065242 !m (SET UP) cccccc 1 (Deg) J s 63 w cos ( π 3 rad) = 0.5 ![...]

  • Page 88

    20070201 k Logarithmic and Exponential Functions • Be sure to specify Comp for Mode in the Setup screen. Example Operation log 1.23 (log 10 1.23) = 0.08990511144 l 1.23 w log 2 8 = 3 <Line> K 4 (CALC) 6 ( g ) 4 (log a b) 2 , 8 ) w <Math> 4 (MA TH) 2 (log a b) 2 e 8 w In 90 (log e 90) = 4.49980967 I 90 w 10 1.23 = 16.98243652 (T o obta[...]

  • Page 89

    20070201 k Hyperbolic and In verse Hyperbolic Functions • Be sure to specify Comp for Mode in the Setup screen. Example Operation sinh 3.6 = 18.28545536 K 6 ( g ) 2 (HYP) 1 (sinh) 3.6 w cosh 1.5 – sinh 1.5 = 0.2231301601 = e –1.5 (Display: –1.5) (Proof of cosh x ± sinh x = e ± x ) K 6 ( g ) 2 (HYP) 2 (cosh) 1.5 - 1 (sinh) 1.5 w I!- (Ans) [...]

  • Page 90

    20070201 k Other Functions • Be sure to specify Comp for Mode in the Setup screen. Example Operation ' 2 + ' 5 = 3.65028154 !x ( ' ) 2 + !x ( ' ) 5 w (3 + i ) = 1.755317302 +0.2848487846 i <Line> !x ( ' ) (d+ ! a ( i ) ) w <Math> !x ( ' ) d+ ! a ( i ) w (–3) 2 = (–3) × (–3) = 9 ( - 3 ) xw –3 2 = [...]

  • Page 91

    20070201 k Random Number Generation (Ran#) This function generates a 10-digit truly random or sequentially random number that is g reater than zero and less than 1. • A truly random number is generated if you do not specify an ything f or the argument. Example Operation Ran# (Generates a random number .) K 6 ( g ) 3 (PROB) 4 (Ran#) w (Each press [...]

  • Page 92

    20070201 2-4-9 Function Calculations k Coordinate Con version u Rectangular Coordinates u Polar Coor dinates • With polar coordinates, θ can be calculated and displayed within a r ange of –180°< θ < 180° (radians and grads ha ve same r ange). • Be sure to specify Comp for Mode in the Setup screen. Example Operation Calculate r and ?[...]

  • Page 93

    20070201 2-4-10 Function Calculations k P ermutation and Combination u Perm utation u Combination • Be sure to specify Comp for Mode in the Setup screen. Example 1 T o calculate the possible number of different arrangements using 4 items selected from among 10 items Formula Operation 10 P 4 = 5040 10 K 6 ( g ) 3 (PROB) 2 ( n P r ) 4 w Example 2 T[...]

  • Page 94

    20070201 • Be sure to specify Comp for Mode in the Setup screen. Example Operation 2 1 73 –– + 3 –– = –– – 5 4 20 <Math> $ 2 c 5 e + !$ ( & ) 3 e 1 c 4 w <Line> 2 $ 5 + 3 $ 1 $ 4 w 1 1 ––––– + –––– – 2578 4572 = 6.066202547 × 10 –4 * 1 <Math> $ 1 c 2578 e + $ 1 c 4572 w <Line> 1 $ 2[...]

  • Page 95

    20070201 2-4-12 Function Calculations Switching between improper fraction and mixed fraction f ormat Pressing the ! M ( < ) key toggles the displa y fraction between mixed fr action and improper fraction f ormat. Switching between fraction and decimal format • If the calculation result includes a fraction, the display f or mat (improper fracti[...]

  • Page 96

    20070201 2-5 Numerical Calculations The follo wing describes the items that are av ailable in the menus y ou use when performing differential/quadr atic diff erential, integration, Σ , maximum/minimum v alue, and Solv e calculations. When the option menu is on the displa y , press 4 (CALC) to display the function analysis menu. The items of this m[...]

  • Page 97

    20070201 k Differential Calculations [OPTN] - [CALC] - [ d / dx ] T o perform differential calculations, fi rst displa y the function analysis menu, and then input the values using the syntax belo w . K 4 (CALC) 2 ( d / dx ) f ( x ) , a , tol ) ( a : point f or which you w ant to determine the derivativ e, tol : tolerance) The differentiation f or[...]

  • Page 98

    20070201 Example T o determine the derivative at point x = 3 for the function y = x 3 + 4 x 2 + x – 6, with a tolerance of “ tol ” = 1 E – 5 Input the function f ( x ). A K 4 (CALC) 2 ( d / dx ) v M d+e vx + v -g, Input point x = a for which y ou want to determine the derivative . d, Input the tolerance v alue. b E- f) w <Math> A4 (MA[...]

  • Page 99

    20070201 u Applications of Differential Calculations • Differentials can be added, subtracted, m ultiplied or divided with each other . Therefore: f ' ( a ) + g ' ( a ), f ' ( a ) × g ' ( a ), etc. • Differential results can be used in addition, subtraction, m ultiplication, and division, and in functions. 2 × f ' ( a[...]

  • Page 100

    20070201 k Quadratic Differential Calculations [OPTN] - [CALC] - [ d 2 / dx 2 ] After displaying the function analysis men u, you can input quadr atic differentials using the follo wing syntax. K 4 (CALC) 3 ( d 2 / dx 2 ) f ( x ) , a , tol ) ( a : diff erential coeffi cient point, tol : tolerance) Quadratic diff erential calculations produce an ap[...]

  • Page 101

    20070201 <Math> A4 (MA TH) 5 ( d 2 / dx 2 ) v M d e +e vx + v -g e d w u Quadratic Differential Applications • Arithmetic operations can be performed using two quadratic diff erentials. Therefore: f '' ( a ) + g '' ( a ), f '' ( a ) × g '' ( a ), etc. • The result of a quadratic differential calcul[...]

  • Page 102

    20070201 k Integration Calculations [OPTN] - [CALC] - [ ∫ dx ] T o perform integration calculations, fi rst displa y the function analysis menu and then input the values using the syntax belo w . K 4 (CALC) 4 ( ∫ dx ) f ( x ) , a , b , tol ) ( a : star t point, b : end point, tol : tolerance) Area of ∫ a b f ( x ) dx is calculated As shown i[...]

  • Page 103

    20070201 <Math> 4 (MA TH) 6 ( g ) 1 ( ∫ dx ) c vx + d v +e e b f f w u Application of Integration Calculation • Integrals can be used in addition, subtraction, multiplication or division. • Integration results can be used in addition, subtraction, multiplication or division, in functions. • Functions can be used in any of the terms ( [...]

  • Page 104

    20070201 Note the follo wing points to ensure correct integration v alues. (1) When cyclical functions for integration v alues become positiv e or negative f or different divisions, perf orm the calculation for single cycles, or divide betw een negative and positive , and then add the results together . Positive par t ( S ) Negative par t ( S ) P o[...]

  • Page 105

    20070201 k Σ Calculations [OPTN] - [CALC] - [ Σ ] T o perform Σ calculations, fi rst display the function analysis men u, and then input the values using the syntax below . K 4 (CALC) 6 ( g ) 3 ( Σ ( ) a k , k , α , β , n ) ( n : distance between partitions) Example T o calculate the follo wing: Use n = 1 as the distance between par titions.[...]

  • Page 106

    20070201 u Σ Calculation Applications • Arithmetic operations using Σ calculation expressions Expressions: nn S n = Σ a k ,T n = Σ b k k = 1 k = 1 P ossible operations: S n + T n , S n – T n , etc. • Arithmetic and function operations using Σ calculation results 2 × S n , log (S n ), etc. • Function operations using Σ calculation ter[...]

  • Page 107

    20070201 2-5-12 Numerical Calculations k Maximum/Minim um V alue Calculations [OPTN] - [CALC] - [FMin]/[FMax] After displaying the function analysis men u, you can input maxim um/minimum calculations using the formats below , and solve for the maxim um and minimum of a function within interval a < x < b . u Minimum V alue K 4 (CALC) 6 ( g ) 1[...]

  • Page 108

    20070201 2-5-13 Numerical Calculations Example 2 T o determine the maximum v alue for the interval defi ned by start point a = 0 and end point b = 3, with a precision of n = 6 for the function y = – x 2 + 2 x + 2 Input f ( x ). A K 4 (CALC) 6 ( g ) 2 (FMax) -vx +c v +c, Input the interval a = 0, b = 3. a,d, Input the precision n = 6. g) w # In t[...]

  • Page 109

    20070201 2-6 Complex Number Calculations Y ou can perform addition, subtraction, multiplication, division, parentheses calculations, function calculations, and memory calculations with complex numbers just as y ou do with the manual calculations described on pages 2-1-1 and 2-4-7. Y ou can select the complex number calculation mode b y changing the[...]

  • Page 110

    20070201 2-6-2 Complex Number Calculations # Y ou can also use ! a ( i ) in place of K 3 (CPLX) 1 ( i ). k Arithmetic Operations [OPTN] - [CPLX] - [ i ] Arithmetic operations are the same as those you use f or manual calculations . Y ou can ev en use parentheses and memory . Example 1 (1 + 2 i ) + (2 + 3 i ) A K 3 (CPLX) (b+c 1 ( i ) ) +(c+d 1 ( i [...]

  • Page 111

    20070201 2-6-3 Complex Number Calculations # The result of the argument calculation diff ers in accordance with the current angle unit setting (degrees, radians , grads). k Absolute V alue and Argument [OPTN] - [CPLX] - [Abs]/[Arg] The unit regards a complex n umber in the f orm a + b i as a coordinate on a Gaussian plane, and calculates absolute v[...]

  • Page 112

    20070201 2-6-4 Complex Number Calculations # The input/output range of comple x numbers is normally 10 digits for the mantissa and two digits for the e xponent. # When a comple x number has more than 21 digits, the real part and imaginar y par t are display ed on separate lines. # When either the real part or imaginar y par t of a complex n umber e[...]

  • Page 113

    20070201 2-6-5 Complex Number Calculations k P olar and Rectangular Form T ransformation [OPTN] - [CPLX] - [ ' r ∠ θ ]/[ ' a + bi ] Use the follo wing procedure to transf orm a complex number displa yed in rectangular form to polar form, and vice versa. Example T o transform the rectangular f orm of complex number 1 + ' 3 i to its[...]

  • Page 114

    20070201 2-7 Binar y , Octal, Decimal, and Hexadecimal Calculations with Integers Y ou can use the RU N • MA T mode and binary , octal, decimal, and hexadecimal settings to perform calculations that inv olve binar y , octal, decimal and hexadecimal v alues. Y ou can also conv er t between number systems and perf or m bitwise operations. • Y ou [...]

  • Page 115

    20070201 • The follo wing are the calculation ranges f or each of the number systems. Binary V alues P ositive: 0 < x < 111111111111111 Negativ e: 1000000000000000 < x < 1111111111111111 Octal V alues P ositive: 0 < x < 17777777777 Negativ e: 20000000000 < x < 37777777777 Decimal V alues P ositive: 0 < x < 2147483647[...]

  • Page 116

    20070201 k Selecting a Number System Y ou can specify decimal, hexadecimal, binary , or octal as the default number system using the Setup screen. u T o specify a number system for an input v alue Y ou can specify a number system for each individual v alue you input. Press 1 (d~o) to display a men u of number system symbols. Press the function key [...]

  • Page 117

    20070201 Example 2 T o input and execute 123 8 × ABC 16 , when the default n umber system is decimal or hexadecimal !m (SET UP) c 2 (Dec) J A1 (d~o) 4 (o) bcd* 2 (h) ABC * 1 w J3 (DISP) 2 ( ' Hex) w k Negative V alues and Bitwise Operations Press 2 (LOG) to display a menu of negation and bitwise oper ators. • { Neg } ... {negation}* 2 • {[...]

  • Page 118

    20070201 Example 2 T o display the result of “36 8 or 1110 2 ” as an octal value !m (SET UP) c 5 (Oct) J A dg 2 (LOG) 4 (or) J1 (d~o) 3 (b) bbba w Example 3 T o negate 2FFFED 16 !m (SET UP) c 3 (Hex) J A2 (LOG) 2 (Not) cFFFED * 1 w u Number System T ransformation Press 3 (DISP) to display a menu of n umber system transf ormation functions. • [...]

  • Page 119

    20070201 2-8-1 Matrix Calculations 2-8 Matrix Calculations F rom the Main Menu, enter the RUN • MA T mode, and press 1 ( ' MA T) to perform Matrix calculations. 26 matrix memories (Mat A through Mat Z) plus a Matr ix Answer Memory (MatAns), make it possible to perf or m the following matrix operations . • Addition, subtraction, multiplicat[...]

  • Page 120

    20070201 k Inputting and Editing Matrices Pressing 1 ( ' MA T) displays the Matrix Editor screen. Use the Matrix Editor to input and edit matrices. m × n … m (row) × n (column) matr ix None… no matrix preset • { DEL } / { DEL·A } ... deletes {a specifi c matrix}/{all matrices} • { DIM } ... {specifi es the matrix dimensions (numbe[...]

  • Page 121

    20070201 u T o input cell values Example T o input the follo wing data into Matrix B : The follo wing operation is a continuation of the e xample calculation on the previous page. b w c w d w e w f w g w (Data is input into the highlighted cell. Each time you press w , the highlighting mov es to the ne xt cell to the right.) T o exit the Matrix inp[...]

  • Page 122

    20070201 u Deleting Matrices Y ou can delete either a specifi c matrix or all matrices in memor y . u T o delete a specifi c matrix 1. While the Matrix Editor is on the display , use f and c to highlight the matr ix you want to delete. 2. Press 1 (DEL). 3. Press 1 (Y es) to delete the matr ix or 6 (No) to abor t the operation without deleting any[...]

  • Page 123

    20070201 k Matrix Cell Operations Use the follo wing procedure to prepare a matrix for cell oper ations. 1. While the Matrix Editor is on the display , use f and c to highlight the name of the matrix you want to use . Y ou can jump to a specifi c matrix by inputting the letter that corresponds to the matrix name. Inputting a i (N), for e xample, j[...]

  • Page 124

    20070201 u T o calculate the scalar multiplication of a ro w Example T o calculate the product of r ow 2 of the f ollowing matrix and the scalar 4 : Matrix A = 1 2 3 4 5 6 1 (R-OP) 2 ( × Rw) Input multiplier v alue. e w Specify row number . c w 6 (EXE) (or w ) u T o calculate the scalar multiplication of a r ow and add the result to another row Ex[...]

  • Page 125

    20070201 u T o add two r ows together Example T o add ro w 2 to ro w 3 of the follo wing matrix : Matrix A = 1 2 3 4 5 6 1 (R-OP) 4 (Rw+) Specify number of row to be added. c w Specify number of row to be added to . d w 6 (EXE) (or w ) u Row Operations • { DEL } ... {delete row} • { INS } ... {inser t row} • { ADD } ... {add row} u T o delete[...]

  • Page 126

    20070201 u T o insert a row Example T o insert a new row between r ows one and two of the follo wing matrix : Matrix A = 1 2 3 4 5 6 c 2 (RO W) 2 (INS) u T o add a ro w Example T o add a new r ow belo w ro w 3 of the following matrix : Matrix A = 1 2 3 4 5 6 cc 2 (RO W) 3 (ADD) 2-8-8 Matrix Calculations[...]

  • Page 127

    20070201 2-8-9 Matrix Calculations u Column Operations • { DEL } ... {delete column} • { INS } ... {inser t column} • { ADD } ... {add column} u T o delete a column Example T o delete column 2 of the follo wing matrix : Matrix A = 1 2 3 4 5 6 e 3 (COL) 1 (DEL) u T o insert a column Example T o insert a new column between columns 1 and 2 of th[...]

  • Page 128

    20070201 u T o add a column Example T o add a new column to the right of column 2 of the f ollowing matrix : Matrix A = 1 2 3 4 5 6 e 3 (COL) 3 (ADD) k Modifying Matrices Using Matrix Commands [OPTN] - [MA T] u T o display the matrix commands 1. F rom the Main Menu, enter the RUN • MA T mode. 2. Press K to display the option menu. 3. Press 2 (MA [...]

  • Page 129

    20070201 u Matrix Data Input Format [OPTN] - [MA T] - [Mat] The follo wing shows the f or mat 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 n ] .... [a m 1 , a m 2 , ..., a mn ] ] → Mat [letter A through Z] Example 1 T o input the follo wing data as Matrix A : [...]

  • Page 130

    20070201 u T o input an identity matrix [OPTN] - [MA T] - [Iden] Use the Identity command to create an identity matrix. Example 2 T o create a 3 × 3 identity matrix as Matrix A K 2 (MA T) 6 ( g ) 1 (Iden) d a 6 ( g ) 1 (Mat) av (A) w Number of rows/columns u T o check the dimensions of a matrix [OPTN] - [MA T] - [Dim] Use the Dim command to check [...]

  • Page 131

    20070201 2-8-13 Matrix Calculations u Modifying Matrices Using Matrix Commands Y ou can also use matrix commands to assign values to and recall values from an e xisting matrix, to fi ll in all cells of an e xisting matrix with the same value, to combine two matrices into a single matrix, and to assign the contents of a matrix column to a list fi [...]

  • Page 132

    20070201 u To fi ll a matrix with identical values and to combine two matrices into a single matrix [OPTN] - [MA T] - [Fill]/[Aug] Use the Fill command to fi ll all the cells of an e xisting matrix with an identical value and the Augment command to combine tw o e xisting matrices into a single matr ix. Example 1 T o fi ll all of the cells of Mat[...]

  • Page 133

    20070201 u T o assign the contents of a matrix column to a list [OPTN] - [MA T] - [M → L] Use the following f or mat with the Mat → List command to specify a column and a list. Mat → List (Mat X, m ) → List n X = matrix name (A through Z, or Ans) m = column number n = list number Example T o assign the contents of column 2 of the follo wing[...]

  • Page 134

    20070201 k Matrix Calculations [OPTN] - [MA T] Use the matrix command menu to perform matrix calculation operations. u T o display the matrix commands 1. F rom the Main Menu, enter the RUN • MA T mode. 2. Press K to display the option menu. 3. Press 2 (MA T) to display the matrix command menu. The follo wing describes only the matrix commands tha[...]

  • Page 135

    20070201 u Matrix Arithmetic Operations [OPTN] - [MA T] - [Mat]/[Iden] Example 1 T o add the follo wing two matrices (Matrix A + Matrix B) : A K 2 (MA T) 1 (Mat) av (A) + 1 (Mat) al (B) w Example 2 Calculate the product to the f ollowing matrix using a m ultiplier value of 5 : Matrix A = 1 2 3 4 A f K 2 (MA T) 1 (Mat) av (A) w Example 3 T o multipl[...]

  • Page 136

    20070201 u Determinant [OPTN] - [MA T] - [Det] Example Obtain the determinant for the f ollowing matrix : Matrix A = 1 2 3 4 5 6 −1 −2 0 K 2 (MA T) 3 (Det) 1 (Mat) av (A) w u Matrix T ransposition [OPTN] - [MA T] - [T rn] A matrix is transposed when its rows become columns and its columns become rows . Example T o transpose the follo wing matri[...]

  • Page 137

    20070201 u Matrix In version [OPTN] - [MA T] - [ x –1 ] Example T o in vert the following matrix : Matrix A = 1 2 3 4 K 2 (MA T) 1 (Mat) av (A) ! ) ( x –1 ) w u Squaring a Matrix [OPTN] - [MA T] - [ x 2 ] Example T o square the follo wing matrix : Matrix A = 1 2 3 4 K 2 (MA T) 1 (Mat) av (A) xw 2-8-19 Matrix Calculations # Only square matrices [...]

  • Page 138

    20070201 u Raising a Matrix to a P ower [OPTN] - [MA T] - [ ] Example T o raise the follo wing matrix to the third power : Matrix A = 1 2 3 4 K 2 (MA T) 1 (Mat) av (A) M d w u Determining the Absolute V alue, Integ er P art, Fraction Part, and Maximum Integer of a Matrix [OPTN] - [NUM] - [Abs]/[Frac]/[Int]/[Intg] Example T o determine the absolute [...]

  • Page 139

    20070201 2-8-21 Matrix Calculations k P erforming Matrix Calculations Using Natural Input u T o specify the dimensions (siz e) of a matrix 1. In the RUN • MA T mode, press !m (SET UP) 1 (Math) J . 2. Press 4 (MA TH) to display the MA TH menu. 3. Press 1 (MA T) to display the f ollowing menu. • { 2 × 2 } … {inputs a 2 × 2 matr ix} • { 3 ×[...]

  • Page 140

    20070201 2-8-22 Matrix Calculations u T o input cell values Example T o perform the calculation sho wn below The follo wing operation is a continuation of the e xample calculation on the previous page. b e $ b c c ee dd e $ bd c e ee !x ( ' ) f ee g e *i w u T o assign a matrix created using natural input to a MA T mode matrix Example T o assi[...]

  • Page 141

    20070201 List Function A list is a storage place f or multiple data items. This calculator lets you store up to 26 lists in a single fi le, and you can store up to six fi les in memory . Stored lists can be used in arithmetic and statistical calculations, and f or graphing. Element number Display r ange Cell Column List name Sub name Row 3-1 Inpu[...]

  • Page 142

    20070201 3-1 Inputting and Editing a List When you enter the S TAT mode, the “List Editor” will appear fi rst. Y ou can use the List Editor to input data into a list and to perform a variety of other list data operations . u T o input values one-b y-one Use the cursor ke ys to mov e the highlighting to the list name, sub name or cell y ou want[...]

  • Page 143

    20070201 u T o batch input a series of values 1. Use the cursor ke ys to mov e the highlighting to another list. 2. Press ! * ( { ), and then input the values y ou want, pressing , between each one. Press ! / ( } ) after inputting the fi nal v alue. ! * ( { ) g,h,i ! / ( } ) 3. Press w to store all of the values in your list. w Y ou can also use l[...]

  • Page 144

    20070201 k Editing List V alues u T o change a cell value Use the cursor ke ys to mov e the highlighting to the cell whose value y ou want to change. Input the new v alue and press w to replace the old data with the new one. u T o edit the contents of a cell 1. Use the cursor keys to mov e the highlighting to the cell whose contents you want to edi[...]

  • Page 145

    20070201 u T o delete all cells in a list Use the follo wing procedure to delete all the data in a list. 1. Use the cursor ke y to mov e the highlighting to any cell of the list whose data y ou want to delete. 2. Pressing 6 ( g ) 4 (DEL • A) causes a confi rmation message to appear . 3. Press 1 (Y es) to delete all the cells in the selected list[...]

  • Page 146

    20070201 3-1-5 Inputting and Editing a List k Naming a List Y ou can assign List 1 through List 26 “sub names” of up to eight bytes each. u T o name a list 1. On the Setup screen, highlight “Sub Name” and then press 1 (On) J . 2. Use the cursor ke ys to mov e the highlighting to the SUB cell of the list you w ant to name. 3. T ype in the na[...]

  • Page 147

    20070201 k Sor ting List V alues Y ou can sor t lists into either ascending or descending order . The highlighting can be located in any cell of the list. u T o sort a single list Ascending order 1. While the lists are on the screen, press 6 ( g ) 1 (TOOL) 1 (SRT • A). 2. The prompt “Ho w Many Lists?:” appears to ask how many lists you w ant [...]

  • Page 148

    20070201 u T o sort multiple lists Y ou can link multiple lists together for a sort so that all of their cells are rearranged in accordance with the sor ting of a base list. The base list is sorted into either ascending order or descending order , while the cells of the linked lists are arranged so that the relative relationship of all the rows is [...]

  • Page 149

    20070201 3-1-8 Inputting and Editing a List Descending order Use the same procedure as that f or the ascending order sor t. The only diff erence is that you should press 2 (SR T • D) in place of 1 (SRT • A). # Y ou can specify a value from 1 to 6 as the number of lists f or sor ting. # If y ou specify a list more than once f or a single sor t o[...]

  • Page 150

    20070201 3-2 Manipulating List Data List data can be used in arithmetic and function calculations. In addition, various list data manipulation functions make manipulation of list data quic k and easy . Y ou can use list data manipulation functions in the RU N • M AT , ST A T , T ABLE , EQU A and PRGM modes. k Accessing the List Data Manipulation [...]

  • Page 151

    20070201 u T o count the number of data items in a list [OPTN] - [LIST] - [Dim] K 1 (LIST) 3 (Dim) 1 (List) <list number 1-26> w • The number of cells a list contains is its “dimension. ” Example T o count the number of values in List 1 (36, 16, 58, 46, 56) A K 1 (LIST) 3 (Dim) 1 (List) b w u T o create a list or matrix by specifying th[...]

  • Page 152

    20070201 3-2-3 Manipulating List Data Example T o create a 2-ro w × 3-column matrix (each cell of which contains 0) in Matrix A A! * ( { ) c,d ! / ( } ) a K 1 (LIST) 3 (Dim) K 2 (MA T) 1 (Mat) av (A) w The f ollowing sho ws the new contents of Mat A. u T o replace all data items with the same value [OPTN] - [LIST] - [Fill] K 1 (LIST) 4 (Fill) <[...]

  • Page 153

    20070201 3-2-4 Manipulating List Data u To fi nd the minimum value in a list [OPTN] - [LIST] - [Min] K 1 (LIST) 6 ( g ) 1 (Min) 6 ( g ) 6 ( g ) 1 (List) <list number 1-26> ) w Example T o fi nd the minimum value in List 1 (36, 16, 58, 46, 56) A K 1 (LIST) 6 ( g ) 1 (Min) 6 ( g ) 6 ( g ) 1 (List) b) w u To fi nd the maximum value in a list [...]

  • Page 154

    20070201 u T o calculate the mean of data items [OPTN] - [LIST] - [Mean] K 1 (LIST) 6 ( g ) 3 (Mean) 6 ( g ) 6 ( g ) 1 (List) <list number 1-26> ) w Example T o calculate the mean of data items in List 1 (36, 16, 58, 46, 56) A K 1 (LIST) 6 ( g ) 3 (Mean) 6 ( g ) 6 ( g ) 1 (List) b) w u T o calculate the mean of data items of specifi ed frequ[...]

  • Page 155

    20070201 u T o calculate the median of data items of specifi ed frequenc y [OPTN] - [LIST] - [Med] This procedure uses two lists: one that contains values and one that indicates the frequency (number of occurrences) of each v alue. The frequency of the data in Cell 1 of the fi rst list is indicated by the v alue in Cell 1 of the second list, etc.[...]

  • Page 156

    20070201 u T o calculate the product of values in a list [OPTN] - [LIST] - [Prod] K 1 (LIST) 6 ( g ) 6 ( g ) 2 (Prod) 6 ( g ) 1 (List)<list number 1-26> w Example T o calculate the product of v alues in List 1 (2, 3, 6, 5, 4) A K 1 (LIST) 6 ( g ) 6 ( g ) 2 (Prod) 6 ( g ) 1 (List) b w u T o calculate the cumulative frequency of each data item [...]

  • Page 157

    20070201 Example T o calculate the percentage represented b y each data item in List 1 (2, 3, 6, 5, 4) A K 1 (LIST) 6 ( g ) 6 ( g ) 4 (%) 6 ( g ) 1 (List) b w u T o calculate the differences between neighboring data inside a list [OPTN] - [LIST] - [ A ] K 1 (LIST) 6 ( g ) 6 ( g ) 5 ( A )<list number 1-26> w • The result of this operation is[...]

  • Page 158

    20070201 3-3 Arithmetic Calculations Using Lists Y ou can perform arithmetic calculations using two lists or one list and a numeric value. Calculation results are stored in ListAns Memory . k Error Messages • A calculation inv olving two lists perf orms the operation between corresponding cells. Because of this, an error occurs if the two lists d[...]

  • Page 159

    20070201 u T o directly input a list of v alues Y ou can also directly input a list of values using {, }, and , . Example 1 T o input the list: 56, 82, 64 ! * ( { ) fg,ic, ge ! / ( } ) Example 2 T o multipl y List 3 ( = 41 65 22 ) by the list 6 0 4 K 1 (LIST) 1 (List) d* ! * ( { ) g,a,e ! / ( } ) w The resulting list 246 0 88 is stored in ListAns M[...]

  • Page 160

    20070201 u T o recall the value in a specifi c list cell Y ou can recall the value in a specifi c list cell and use it in a calculation. Specify the cell number by enclosing it inside square br ack ets. Example T o calculate the sine of the value stored in Cell 3 of List 2 s K 1 (LIST) 1 (List) c ! + ( [ ) d ! - ( ] ) w u T o input a value into a[...]

  • Page 161

    20070201 k Graphing a Function Using a List When using the graphing functions of this calculator , you can input a function such as Y1 = List 1 X. If List 1 contains the values 1, 2, 3, this function will produces three graphs: Y = X, Y = 2X, Y = 3X. There are cer tain limitations on using lists with graphing functions. Example T o input the data 1[...]

  • Page 162

    20070201 5. Press b w . 6. Enter the S TAT mode to confi rm that T ABLE mode column Y1 has been copied to List 1. k Perf orming Scientifi c Function Calculations Using a List Lists can be used just as numeric values are in scientifi c function calculations. When the calculation produces a list as a result, the list is stored in ListAns Memory . [...]

  • Page 163

    20070201 3-4-1 Switching Between List Files 3-4 Switching Between List Files Y ou can store up to 26 lists (List 1 to List 26) in each fi le (File 1 to File 6). A simple operation lets you s witch between list fi les. u T o switch between list fi les 1. From the Main Menu, enter the ST A T mode. Press !m (SET UP) to display the S TAT mode Setup [...]

  • Page 164

    20070201 Equation Calculations Y our graphic calculator can perf or m the following three types of calculations: • Simultaneous linear equations • Quadratic and cubic equations • Solve calculations From the Main Menu, enter the EQU A mode. • { SIML } ... {linear equation with 2 to 6 unknowns} • { POL Y } ... {degree 2 or 3 equation} • {[...]

  • Page 165

    20070201 4-1-1 Simultaneous Linear Equations 4-1 Simultaneous Linear Equations Description Y ou can solve simultaneous linear equations with tw o to six unknowns. • Simultaneous Linear Equation with T wo Unknowns: a 1 x 1 + b 1 x 2 = c 1 a 2 x 1 + b 2 x 2 = c 2 • Simultaneous Linear Equation with Three Unknowns: a 1 x 1 + b 1 x 2 + c 1 x 3 = d [...]

  • Page 166

    20070201 4-1-2 Simultaneous Linear Equations Example T o solve the follo wing simultaneous linear equations f or x , y , and z 4 x + y – 2 z = – 1 x + 6 y + 3 z = 1 – 5 x + 4 y + z = – 7 Procedure 1 m EQUA 2 1 (SIML) 2 (3) 3 e w b w- c w- b w b w g w d w b w - f w e w b w- h w 4 1 (SOL V) Result Screen # Internal calculations are performed [...]

  • Page 167

    20070201 4-2-1 Quadratic and Cubic Equations # Inter nal calculations are performed using a 15-digit mantissa, but results are displa yed using a 10-digit mantissa and a 2-digit exponent. # It ma y take considerable time f or the calculation result of cubic equations to appear on the display . # An error occurs if the calculator is unab le to fi n[...]

  • Page 168

    20070201 4-2-2 Quadratic and Cubic Equations Example T o solve the cubic equation (Angle unit = Rad) x 3 – 2 x 2 – x + 2 = 0 Procedure 1 m EQUA 2 2 (POL Y) 2 (3) 3 b w- c w- b w c w 4 1 (SOL V) Result Screen Multiple Solutions (Example: x 3 + 3 x 2 + 3 x + 1 = 0) Complex Number Solution (Example: x 3 + 2 x 2 + 3 x + 2 = 0) Complex Mode: Real (p[...]

  • Page 169

    20070201 4-3-1 Solve Calculations 4-3 Solve Calculations Description The Solve Calculation mode lets y ou determine the value of any v ariable in a f ormula without having to solv e the equation. Set Up 1. F rom the Main Menu, enter the EQU A mode. Execution 2. Select the Solve Calculation mode , and input the equation as it is written. If you do n[...]

  • Page 170

    20070201 4-3-2 Solve Calculations Example An object thro wn into the air at initial velocity V takes time T to reach height H. Use the follo wing form ula to solve for initial velocity V when H = 14 (meters), T = 2 (seconds) and gravitational acceleration is G = 9.8 (m/s 2 ). H = VT – 1/2 GT 2 Procedure 1 m EQUA 2 3 (SOL V) a M (H) ! . (=) a c (V[...]

  • Page 171

    20070201 4-4 What to Do When an Error Occur s u Error during coeffi cient value input Press the J key to clear the error and return to the value that w as registered for the coeffi cient bef ore you input the value that generated the error . T r y inputting a new v alue again. u Error during calculation Press the J key to clear the error and disp[...]

  • Page 172

    20070201 Graphing Sections 5-1 and 5-2 of this chapter provide basic inf or mation you need to kno w in order to dra w a graph. The remaining sections describe more advanced gr aphing f eatures and functions. Select the icon in the Main Menu that suits the type of gr aph you want to dra w or the type of table you w ant to generate . • GRAPH … G[...]

  • Page 173

    20070201 5-1-1 Sample Graphs 5-1 Sample Graphs k How to dra w a simple graph (1) Description T o draw a graph, simply input the applicab le function. Set Up 1. From the Main Menu, enter the GRAPH mode. Execution 2. Input the function you want to graph. Here y ou would use the V -Window to specify the range and other parameters of the graph. See 5-2[...]

  • Page 174

    20070201 5-1-2 Sample Graphs Example T o graph y = 3 x 2 Procedure 1 m GRAPH 2 d vxw 3 6 (DRAW) (or w ) Result Screen # Pressing A while a graph is on the display will return to the screen in step 2.[...]

  • Page 175

    20070201 5-1-3 Sample Graphs k How to dra w a simple graph (2) Description Y ou can store up to 20 functions in memor y and then select the one you want f or graphing. Set Up 1. From the Main Menu, enter the GRAPH mode. Execution 2. Specify the function type and input the function whose graph you want to dr aw . Y ou can use the GRAPH mode to dra w[...]

  • Page 176

    20070201 5-1-4 Sample Graphs Example Input the functions shown below and dra w their graphs Y1 = 2 x 2 – 3, r 2 = 3sin2 θ Procedure 1 m GRAPH 2 3 (TYPE) 1 (Y=) c vx -d w 3 (TYPE) 2 ( r =) d s c vw 3 6 (DRAW) Result Screen (P arametric) (Inequality)[...]

  • Page 177

    20070201 5-1-5 Sample Graphs k How to dra w a simple graph (3) Description Use the follo wing procedure to graph the function of a par abola, circle, ellipse, or h yperbola. Set Up 1. From the Main Menu, enter the CONICS mode. Execution 2. Use the cursor fc keys to specify one of the function type as f ollows. Graph T ype Function Par abola X = A ([...]

  • Page 178

    20070201 5-1-6 Sample Graphs Example Graph the circ le (X–1) 2 + (Y–1) 2 = 2 2 Procedure 1 m CONICS 2 cccc w 3 b w b w c w 4 6 (DRAW) Result Screen (Parabola) (Ellipse) (Hyperbola)[...]

  • Page 179

    20070201 k How to dra w a simple graph (4) Description Y ou can specify the graph line style, if y ou want. Set Up 1. From the Main Men u, enter the GRAPH mode. Execution 2. Input the function you want to graph. Here y ou would use the V -Window to specify the range and other parameters of the graph. See 5-2-1. 3. Select the line style. 4 (STYL) 1 [...]

  • Page 180

    20070201 Example T o graph y = 3 x 2 Procedure 1 m GRAPH 2 3 (TYPE) 1 (Y=) d vxw 3 f 4 (STYL) 3 ( ) J 4 6 (DRAW) (or w ) Result Screen (Normal) (Thick) (Dotted) 5-1-8 Sample Graphs[...]

  • Page 181

    20070201 5-2 Controlling What Appears on a Graph Screen k V -Window (View Window) Settings Use the View Windo w to specify the range of the x - and y -axes, and to set the spacing between the increments on each axis. Y ou should always set the V -Window parameters y ou want to use bef ore graphing. u T o make V -Window settings 1. From the Main Men[...]

  • Page 182

    20070201 5-2-2 Controlling What Appears on a Graph Screen u V -Window Setting Precautions • Inputting zero for T θ ptch causes an error . • Any illegal input (out of range v alue, negativ e sign without a value , etc.) causes an error . • When T θ max is less than T θ min, T θ ptch becomes negative. • Y ou can input expressions (such as[...]

  • Page 183

    20070201 k Initializing and Standardizing the V -Window u T o initialize the V -Window 1. From the Main Menu, enter the GRAPH mode. 2. Press !3 (V -WIN). This displa ys the V -Window setting screen. 3. Press 1 (INIT) to initialize the V -Window . Xmin = –6.3, Xmax = 6.3, Xscale = 1, Xdot = 0.1 Ymin = –3.1, Ymax = 3.1, Yscale = 1 T θ min = 0, T[...]

  • Page 184

    20070201 k V -Window Memory Y ou can store up to six sets of V -Window settings in V -Window memory for recall when y ou need them. u T o store V -Window settings 1. From the Main Menu, enter the GRAPH mode. 2. Press !3 (V -WIN) to display the V -Window setting screen, and input the values y ou want. 3. Press 4 (STO) to displa y the pop-up window .[...]

  • Page 185

    20070201 k Specifying the Graph Range Description Y ou can defi ne a range (start point, end point) for a function bef ore graphing it. Set Up 1. From the Main Menu, enter the GRAPH mode. 2. Make V -Window settings. Execution 3. Specify the function type and input the function. The following is the syntax f or function input. Function , ! + ( [ )S[...]

  • Page 186

    20070201 5-2-6 Controlling What Appears on a Graph Screen Example Graph y = x 2 + 3 x – 2 within the range – 2 < x < 4 Use the follo wing V -Window settings. Xmin = –3, Xmax = 5, Xscale = 1 Ymin = –10, Ymax = 30, Yscale = 5 Procedure 1 m GRAPH 2 !3 (V -WIN) - d w f w b w c - ba w da w f wJ 3 3 (TYPE) 1 (Y=) vx +d v -c, ! + ( [ ) - c,e[...]

  • Page 187

    20070201 5-2-7 Controlling What Appears on a Graph Screen k Zoom Description This function lets you enlarge and reduce the gr aph on the screen. Set Up 1. Draw the graph. Execution 2. Specify the zoom type. !2 (ZOOM) 1 (BO X) ... Box z oom Dra w a box around a displa y area, and that area is enlarged to fi ll the entire screen. 2 (F ACT) 3 (IN)/ 4[...]

  • Page 188

    20070201 5-2-8 Controlling What Appears on a Graph Screen # Y ou must specify two different points f or box zoom, and the two points cannot be on a straight line vertically or horizontally from each other . Example Graph y = ( x + 5)( x + 4)( x + 3), and then perf orm a box zoom. Use the follo wing V -Window settings. Xmin = –8, Xmax = 8, Xscale [...]

  • Page 189

    20070201 5-2-9 Controlling What Appears on a Graph Screen k Factor Zoom Description With factor z oom, you can z oom in or out, centered on the current cursor position. Set Up 1. Draw the graph. Execution 2. Press !2 (ZOOM) 2 (F ACT) to open a pop-up windo w for specifying the x -axis and y -axis zoom factor . Input the values you w ant and then pr[...]

  • Page 190

    20070201 5-2-10 Controlling What Appears on a Graph Screen Example Enlarge the graphs of the two e xpressions shown below fi ve times on both the x - and y -axis to see if they are tangent. Y1 = ( x + 4)( x + 1)( x – 3), Y2 = 3 x + 22 Use the follo wing V -Window settings. Xmin = –8, Xmax = 8, Xscale = 1 Ymin = –30, Ymax = 30, Yscale = 5 Pro[...]

  • Page 191

    20070201 5-3-1 Drawing a Gr aph 5-3 Drawing a Graph Y ou can store up to 20 functions in memor y . Functions in memory can be edited, recalled, and graphed. k Specifying the Graph T ype Before y ou can store a graph function in memor y , you must fi rst specify its g raph type. 1. While the Graph relation list is on the display , press 3 (TYPE) to[...]

  • Page 192

    20070201 5-3-2 Drawing a Gr aph u T o store a polar coordinate function ( r =) * 1 Example T o store the follo wing expression in memory area r 2 : r = 5 sin3 θ 3 (TYPE) 2 ( r =) (Specifi es polar coordinate e xpression.) f s d v (Inputs expression.) w (Stores expression.) u T o store a parametric function * 2 Example T o store the follo wing fun[...]

  • Page 193

    20070201 5-3-3 Drawing a Gr aph u T o store an X = constant expression * 1 Example T o store the follo wing expression in memory area X4 : X = 3 3 (TYPE) 4 (X=c) (Specifi es X = constant e xpression.) d (Inputs expression.) w (Stores expression.) • Inputting X, Y , T , r , or θ for the constant in the abov e procedures causes an error. u T o st[...]

  • Page 194

    20070201 u T o assign values to the coeffi cients and variables of a graph function Example T o assign the values −1, 0, and 1 to variable A in Y = AX 2 −1, and dra w a graph for each v alue 3 (TYPE) 1 (Y=) av (A) vx -b w J 4 (GRPH) 1 (Y) b( av (A) ! . (=) - b) w J 4 (GRPH) 1 (Y) b( av (A) ! . (=) a) w J 4 (GRPH) 1 (Y) b( av (A) ! . (=) b) w f[...]

  • Page 195

    20070201 5-3-5 Drawing a Gr aph • If you do not specify a v ariable name (v ariable A in the abov e ke y operation), the calculator automatically uses one of the default v ar iables listed below . Note that the default v ar iable used depends on the memory area type where you are storing the graph function. Memory Area Type Default V ariable Y n [...]

  • Page 196

    20070201 k Editing and Deleting Functions u T o edit a function in memory Example T o change the expression in memory area Y1 from y = 2 x 2 – 5 to y = 2 x 2 – 3 e (Displays cursor .) eeeee D d (Changes contents.) w (Stores new graph function.) u T o change the line style of a graph function 1. On the Graph relation list screen, use f and c to [...]

  • Page 197

    20070201 u T o change the type of a function * 1 1. While the Graph relation list is on the display , press f or c to mov e the highlighting to the area that contains the function whose type you w ant to change. 2. Press 3 (TYPE) 5 (CONV). 3. Select the function type you want to change to . Example T o change the function in memory area Y1 from y =[...]

  • Page 198

    20070201 k Selecting Functions for Graphing u T o specify the draw/non-draw status of a graph 1. On the graph relation list, use f and c to highlight the relation you do not want to graph. 2. Press 1 (SEL). • Each press of 1 (SEL) toggles graphing on and off . 3. Press 6 (DRAW). Example T o select the follo wing functions for drawing : Y1 = 2 x 2[...]

  • Page 199

    20070201 k Graph Memory Graph memory lets you store up to 20 sets of graph function data and recall it later when y ou need it. A single sav e operation sa ves the f ollowing data in graph memory . • All graph functions in the currently displa yed Gr aph relation list (up to 20) • Graph types • Function graph line inf ormation • Draw/non-dr[...]

  • Page 200

    20070201 5-4 Storing a Graph in Picture Memor y Y ou can sav e up to 20 graphic images in picture memory for later recall. Y ou can ov erdraw the graph on the screen with another gr aph stored in picture memory . u T o store a graph in picture memory 1. After graphing in GRAPH mode, press K 1 (PICT) 1 (STO) to displa y the pop-up window . 2. Press [...]

  • Page 201

    20070201 5-5 Drawing T w o Graphs on the Same Screen k Copying the Graph to the Sub-screen Description Dual Graph lets you split the screen into tw o par ts. Then you can g raph two diff erent functions in each for comparison, or dra w a normal size graph on one side and its enlarged version on the other side . This makes Dual Graph a po werful gr [...]

  • Page 202

    20070201 Example Graph y = x ( x + 1)( x – 1) in the main screen and sub-screen. Use the follo wing V -Window settings. (Main Screen) Xmin = –2, Xmax = 2, Xscale = 0.5 Ymin = –2, Ymax = 2, Yscale = 1 (Sub-screen) Xmin = –4, Xmax = 4, Xscale = 1 Ymin = –3, Ymax = 3, Yscale = 1 Procedure 1 m GRAPH 2 !m (SET UP) cc 1 (G+G) J 3 !3 (V -WIN) - [...]

  • Page 203

    20070201 k Graphing T wo Different Functions Description Use the follo wing procedure to graph diff erent functions in the main screen and sub-screen. Set Up 1. From the Main Menu, enter the GRAPH mode. 2. On the Setup screen, select G+G for Dual Screen. 3. Make V -Window settings for the main screen. Press 6 (RIGHT) to display the sub-gr aph setti[...]

  • Page 204

    20070201 Example Graph y = x ( x + 1)( x – 1) in the main screen, and y = 2 x 2 – 3 in the sub- screen. Use the follo wing V -Window settings. (Main Screen) Xmin = –4, Xmax = 4, Xscale = 1 Ymin = –5, Ymax = 5, Yscale = 1 (Sub-screen) Xmin = –2, Xmax = 2, Xscale = 0.5 Ymin = –2, Ymax = 2, Yscale = 1 Procedure 1 m GRAPH 2 !m (SET UP) cc 1[...]

  • Page 205

    20070201 k Using Zoom to Enlarge the Sub-screen Description Use the follo wing procedure to enlarge the main screen graph and then mo ve it to the sub- screen. Set Up 1. From the Main Menu, enter the GRAPH mode. 2. On the Setup screen, select G+G for Dual Screen. 3. Make V -Window settings for the main screen. Execution 4. Input the function and dr[...]

  • Page 206

    20070201 Example Draw the graph y = x ( x + 1)( x – 1) in the main screen, and then use Box Zoom to enlar ge it. Use the follo wing V -Window settings. (Main Screen) Xmin = –2, Xmax = 2, Xscale = 0.5 Ymin = –2, Ymax = 2, Yscale = 1 Procedure 1 m GRAPH 2 !m (SET UP) cc 1 (G+G) J 3 !3 (V -WIN) - c w c w a.f w c - c w c w b wJ 4 3 (TYPE) 1 (Y=) [...]

  • Page 207

    20070201 5-6-1 Manual Graphing 5-6 Manual Graphing k Rectangular Coordinate Graph Description Inputting the Graph command in the RUN • MA T mode enables dra wing of rectangular coordinate graphs . Set Up 1. From the Main Menu, enter the RU N • MA T mode. 2. Make V -Window settings. Execution 3. Input the commands for drawing the rectangular coo[...]

  • Page 208

    20070201 5-6-2 Manual Graphing Example Graph y = 2 x 2 + 3 x – 4 Use the follo wing V -Window settings. Xmin = –5, Xmax = 5, Xscale = 2 Ymin = –10, Ymax = 10, Yscale = 5 Procedure 1 m RUN • MA T 2 !3 (V -WIN) - f w f w c w c - ba w ba w f wJ 3 !4 (SKTCH) 1 (Cls) w 5 (GRPH) 1 (Y=) 4 c vx +d v -e w Result Screen[...]

  • Page 209

    20070201 5-6-3 Manual Graphing k Integration Graph Description Inputting the Graph command in the RUN • MA T mode enables gr aphing of functions produced by an integr ation calculation. The calculation result is shown in the low er left corner of the display , and the calculation range is cross plot type. Set Up 1. From the Main Menu, enter the R[...]

  • Page 210

    20070201 5-6-4 Manual Graphing Example Graph the integration ∫ 1 –2 ( x + 2)( x – 1)( x – 3) dx . Use the follo wing V -Window settings. Xmin = –4, Xmax = 4, Xscale = 1 Ymin = –8, Ymax = 12, Yscale = 5 Procedure 1 m RUN • MA T 2 !3 (V -WIN) - e w e w b w c - i w bc w f wJ 3 !4 (SKTCH) 1 (Cls) w 5 (GRPH) 5 (G • ∫ dx ) 4 ( v +c)( v [...]

  • Page 211

    20070201 5-6-5 Manual Graphing k Drawing Multiple Graphs on the Same Screen Description Use the follo wing procedure to assign v arious values to a variab le contained in an expression and ov erwrite the resulting graphs on the screen. Set Up 1. From the Main Menu, enter the GRAPH mode. 2. On the Setup screen, change the “Dual Screen” setting t[...]

  • Page 212

    20070201 5-6-6 Manual Graphing Example T o graph y = A x 2 – 3 as the value of A changes in the sequence 3, 1, –1. Use the follo wing V -Window settings. Xmin = –5, Xmax = 5, Xscale = 1 Ymin = –10, Ymax = 10, Yscale = 2 Procedure 1 m GRAPH 2 !m (SET UP) cc 3 (Off) J 3 !3 (V -WIN) - f w f w b w c - ba w ba w c wJ 4 3 (TYPE) 1 (Y=) av (A) vx [...]

  • Page 213

    20070201 5-6-7 Manual Graphing k Using Copy and P aste to Graph a Function Description Y ou can graph a function by cop ying it to the clipboard, and then pasting it into the graph screen. There are two types of functions you can paste into the g raph screen. T ype 1 (Y= expression) A function with the Y variable to the left of the equal sign is gr[...]

  • Page 214

    20070201 5-6-8 Manual Graphing Example While the graph of y = 2 x 2 + 3 x – 4 is currently display ed, to paste the previously copied function Y=X from the c lipboard Use the follo wing V -Window settings. Xmin = –5, Xmax = 5, Xscale = 2 Ymin = –10, Ymax = 10, Yscale = 5 Procedure 1 m RUN • MA T a - (Y) ! . (=) v ! i (CLIP) ddd 1 (COPY) 2 m[...]

  • Page 215

    20070201 5-7 Using T ables T o enter the T ABLE mode, select the T ABLE icon on the Main Menu. k Storing a Function and Generating a Number T able u T o store a function Example T o store the function y = 3 x 2 – 2 in memory area Y1 Use f and c to mov e the highlighting in the T able relation list to the memory area where you w ant to store the f[...]

  • Page 216

    20070201 u T o generate a table using a list 1. While the T able relation list is on the screen, displa y the Setup screen. 2. Highlight V ar iable and then press 2 (LIST) to display the pop-up windo w . 3. Select the list whose values you want to assign f or the x -variable. • T o select List 6, for e xample, press g w . This causes the setting [...]

  • Page 217

    20070201 Y ou can use cursor keys to mo v e the highlighting around the table f or the f ollowing purposes. • T o display the selected cell’ s value at the bottom of the screen, using the calculator’ s current number of decimal place, n umber of signifi cant digit, and e xponential displa y range settings • T o scroll the display and vie w[...]

  • Page 218

    20070201 k Editing and Deleting Functions u T o edit a function Example T o change the function in memory area Y1 from y = 3 x 2 – 2 to y = 3 x 2 – 5 Use f and c to mov e the highlighting to the function you w ant to edit. Use e to move the cursor to the beginning of the e xpression. Use d and e to mov e the cursor to the location of the change[...]

  • Page 219

    20070201 5-7-5 Using T ables k Editing T ables Y ou can use the table menu to perf or m any of the follo wing operations once you gener ate a table . • Change the values of v ariable x • Edit (delete, inser t, and append) rows • Delete a table • Draw a connect type gr aph • Draw a plot type gr aph • { FORM } ... {retur n to T able relat[...]

  • Page 220

    20070201 5-7-6 Using T ables u Row Operations u T o delete a row Example T o delete Row 2 of the table generated on page 5-7-2 c 3 (RO W) 1 (DEL) u T o inser t a row Example T o insert a new row between Ro ws 1 and 2 in the table generated on page 5-7-2 c 3 (RO W) 2 (INS)[...]

  • Page 221

    20070201 5-7-7 Using T ables u T o add a row Example T o add a new r ow belo w Row 7 in the table generated on page 5-7-2 cccccc 3 (ROW) 3 (ADD) u Deleting a T able 1. Display the table and then press 2 (DEL). 2. Press 1 (Y es) to delete the table or 6 (No) to abor t the operation without deleting anything.[...]

  • Page 222

    20070201 k Copying a T able Column to a List A simple operation lets you cop y the contents of a numeric table column into a list. Use d and e to mov e the cursor to the column you w ant to copy . The cursor can be in any row . u T o copy a table to a list Example T o copy the contents of Column x into List 1 K 1 (LMEM) Input the number of the list[...]

  • Page 223

    20070201 k Drawing a Graph fr om a Number T able Description Use the follo wing procedure to generate a number tab le and then dra w a graph based on the values in the tab le. Set Up 1. From the Main Menu, enter the T ABLE mode. 2. Make V -Window settings. Execution 3. Store the functions. 4. Specify the table range. 5. Generate the table. 6. Selec[...]

  • Page 224

    20070201 Example Store the two functions belo w , generate a number table, and then draw a line graph. Specify a range of –3 to 3, and an increment of 1. Y1 = 3 x 2 – 2, Y2 = x 2 Use the follo wing V -Window settings. Xmin = 0, Xmax = 6, Xscale = 1 Ymin = –2, Ymax = 10, Yscale = 2 Procedure 1 m T ABLE 2 !3 (V -WIN) a w g w b w c - c w ba w c [...]

  • Page 225

    20070201 k Specifying a Range for Number T able Generation Description Use the follo wing procedure to specify a number tab le range when calculating scatter data from a function. Set Up 1. From the Main Menu, enter the T ABLE mode. Execution 2. Store the functions. 3. Specify the table range. 4. Select the functions for which you w ant to generate[...]

  • Page 226

    20070201 Example Store the three functions shown below , and then generate a table f or functions Y1 and Y3. Specify a range of –3 to 3, and an increment of 1. Y1 = 3 x 2 – 2, Y2 = x + 4, Y3 = x 2 Procedure 1 m T ABLE 2 3 (TYPE) 1 (Y=) d vx -c w v +e w vxw 3 5 (SET) - d w d w b wJ 4 ff 1 (SEL) 5 6 (T ABL) Result Screen 5-7-12 Using T ables # Y [...]

  • Page 227

    20070201 k Simultaneousl y Displaying a Number T able and Graph Description Specifying T+G for Dual Screen on the Setup screen makes it possib le to displa y a number table and gr aph at the same time. Set Up 1. From the Main Menu, enter the T ABLE mode. 2. Make V -Window settings. 3. On the Setup screen, select T+G f or Dual Screen. Execution 4. I[...]

  • Page 228

    20070201 Example Store the function Y1 = 3 x 2 – 2 and simultaneously displa y its number table and line graph. Use a table range of –3 to 3 with an increment of 1. Use the follo wing V -Window settings. Xmin = 0, Xmax = 6, Xscale = 1 Ymin = –2, Ymax = 10, Yscale = 2 Procedure 1 m T ABLE 2 !3 (V -WIN) a w g w b w c - c w ba w c wJ 3 !m (SET U[...]

  • Page 229

    20070201 5-7-15 Using T ables k Using Graph-T able Linking Description With Dual Graph, you can use the f ollowing procedure to link the graph and tab le screens so the pointer on the graph screen jumps to the location of the currently selected tab le value . Set Up 1. From the Main Menu, enter the T ABLE mode. 2. Make the required V -Window settin[...]

  • Page 230

    20070201 5-7-16 Using T ables Example Store the function Y1 = 3log x and simultaneousl y display its number table and plot-type graph. Use a table range of 2 through 9, with an increment of 1. Use the follo wing V -Window settings. Xmin = –1, Xmax = 10, Xscale = 1 Ymin = –1, Ymax = 4, Yscale = 1 Procedure 1 m T ABLE 2 !3 (V -WIN) - b w ba w b w[...]

  • Page 231

    20070201 5-8 Dynamic Graphing k Using Dynamic Graph Description Dynamic Graph lets you defi ne a range of v alues for the coeffi cients in a function, and then observe how a graph is aff ected by changes in the value of a coeffi cient. It helps to see how the coeffi cients and terms that make up a function infl uence the shape and position of [...]

  • Page 232

    20070201 Example Use Dynamic Graph to graph y = A ( x – 1) 2 – 1, in whic h the value of coeffi cient A changes from 2 through 5 in increments of 1. The Graph is drawn 10 times. Use the follo wing V -Window settings. Xmin = –6.3, Xmax = 6.3, Xscale = 1 Ymin = –3.1, Ymax = 3.1, Yscale = 1 (initial defaults) Procedure 1 m D YNA 2 !3 (V -WIN)[...]

  • Page 233

    20070201 k Drawing a Dynamic Graph Locus Description T ur ning on the Dynamic Graph locus setting on the Setup screen lets you ov erlay a g raph drawn b y changing the coeffi cient v alues. Set Up 1. From the Main Menu, enter the D YNA mode. 2. Make V -Window settings. Execution 3. On the Setup screen, select “On” f or “Locus”. 4. Use the [...]

  • Page 234

    20070201 5-8-4 Dynamic Graphing Example Use Dynamic Graph to graph y = A x , in whic h the value of coeffi cient A changes from 1 thr ough 4 in increments of 1. The Graph is drawn 10 times. Use the follo wing V -Window settings. Xmin = –6.3, Xmax = 6.3, Xscale = 1 Ymin = –3.1, Ymax = 3.1, Yscale = 1 (initial defaults) Procedure 1 m D YNA 2 !3 [...]

  • Page 235

    20070201 k Dynamic Graph Application Examples Description Y ou can also use Dynamic Graph to simulate simple ph ysical phenomena. Set Up 1. From the Main Menu, enter the D YNA mode. 2. Make V -Window settings. Execution 3. On the Setup screen, specify Stop for Dynamic T ype and Deg for Angle. 4. Specify Parm (parametric function) as the function ty[...]

  • Page 236

    20070201 Example The path over time T of a ball thro wn in the air at initial velocity V and an angle of θ degrees from horizontal can be calculated as follo ws. X = (Vcos θ )T , Y = (Vsin θ )T – (1/2)gT 2 (g = 9.8m/s 2 ) Use Dynamic Graph to plot the path of a ball thro wn at an initial velocity of 20 meters per second, at horizontal angles o[...]

  • Page 237

    20070201 k Adjusting the Dynamic Graph Speed Y ou can use the follo wing procedure to adjust the Dynamic Graph speed while the dra w operation is taking place. 1. While a Dynamic Graph draw operation is being perf or med, press A to change to the speed adjustment menu. • { } ... {Each step of the Dynamic Graph dra w operation is performed each ti[...]

  • Page 238

    20070201 k Using Dynamic Graph Memory Y ou can store Dynamic Graph conditions and screen data in Dynamic Graph memory for later recall when you need it. This lets y ou sav e time, because y ou can recall the data and immediately begin a Dynamic Graph dra w operation. Note that you can store one set of data in memory at any one time. The follo wing [...]

  • Page 239

    20070201 5-9 Graphing a Recursion Form ula k Generating a Number T able from a Recur sion Formula Description Y ou can input up to three of the follo wing types of recursion formulas and generate a number table . • General term of sequence { a n }, composed of a n , n • Linear two-term recursion composed of a n +1 , a n , n • Linear three-ter[...]

  • Page 240

    20070201 Example Generate a number table fr om recursion between three terms as expressed b y a n +2 = a n +1 + a n , with initial terms of a 1 = 1, a 2 = 1 (Fibonacci sequence), as n changes in value fr om 1 to 6. Procedure 1 m RECUR 2 3 (TYPE) 3 ( a n +2 ) 3 4 ( n . a n ··) 3 ( a n +1 ) + 2 ( a n ) w 4 5 (SET) 2 ( a 1 ) b w g w b w b wJ 5 6 (T [...]

  • Page 241

    20070201 k Graphing a Recursion Form ula (1) Description After generating a number tab le from a recursion f ormula, you can graph the v alues on a line graph or plot type gr aph. Set Up 1. From the Main Menu, enter the RECUR mode. 2. Make V -Window settings. Execution 3. Specify the recursion formula type and input the formula. 4. Specify the tabl[...]

  • Page 242

    20070201 Example Generate a number table fr om recursion between tw o terms as expressed b y a n +1 = 2 a n + 1, with an initial term of a 1 = 1, as n changes in value fr om 1 to 6. Use the table v alues to draw a line graph. Use the follo wing V -Window settings. Xmin = 0, Xmax = 6, Xscale = 1 Ymin = –15, Ymax = 65, Yscale = 5 Procedure 1 m RECU[...]

  • Page 243

    20070201 k Graphing a Recursion Form ula (2) Description The follo wing describes how to generate a number tab le from a recursion f ormula and graph the values while Σ Display is On. Set Up 1. From the Main Menu, enter the RECUR mode. 2. On the Setup screen, specify On for Σ Display . 3. Make V -Window settings. Execution 4. Specify the recursio[...]

  • Page 244

    20070201 Example Generate a number table fr om recursion between tw o terms as expressed b y a n +1 = 2 a n + 1, with an initial term of a 1 = 1, as n changes in value fr om 1 to 6. Use the table v alues to draw a plot line graph with ordinate Σ a n , abscissa n . Use the follo wing V -Window settings. Xmin = 0, Xmax = 6, Xscale = 1 Ymin = –15, [...]

  • Page 245

    20070201 k WEB Graph (Con vergence, Divergence) Description y = f ( x ) is graphed b y presuming a n +1 = y , a n = x for linear tw o-term regression a n +1 = f ( a n ) composed of a n +1 , a n . Next, it can be determined whether the function is conv ergent or divergent. Set Up 1. From the Main Menu, enter the RECUR mode. 2. Make V -Window setting[...]

  • Page 246

    20070201 Example T o draw the WEB graph for the recursion f ormula a n +1 = –3( a n ) 2 + 3 a n , b n +1 = 3 b n + 0.2, and chec k for divergence or con vergence. Use the follo wing table range and V -Window settings. T able Range Start = 0, End = 6, a 0 = 0.01, a n Str = 0.01, b 0 = 0.11, b n Str = 0.11 V -Window Settings Xmin = 0, Xmax = 1, Xsc[...]

  • Page 247

    20070201 5-9-9 Graphing a Recursion F ormula k Graphing a Recursion Form ula on Dual Screen Description When “T+G” is specifi ed f or the Dual Screen setting, you can vie w the number tab le and graph at the same time . Set Up 1. From the Main Menu, enter the RECUR mode. 2. Make V -Window settings. 3. On the Setup screen, select T+G f or Dual [...]

  • Page 248

    20070201 5-9-10 Graphing a Recursion F ormula Example Generate a number table fr om recursion between tw o terms as expressed b y a n +1 = 2 a n + 1, with an initial term of a 1 = 1, as n changes in value fr om 1 to 6. Use the table v alues to draw a line graph. Use the follo wing V -Window settings. Xmin = 0, Xmax = 6, Xscale = 1 Ymin = –15, Yma[...]

  • Page 249

    20070201 5-10-1 Changing the Appearance of a Graph * 1 The above shows the function men u that appears in the GRAPH mode. Menu items may diff er somewhat in other modes. * 2 In the case of an inverse function g raph, drawing star ts immediately after you select this option. * 3 Some sketch functions require specifi cation of two points. After you [...]

  • Page 250

    20070201 Example Draw a line that is tangent to point (2, 0) on the graph for y = x ( x + 2)( x – 2). Use the follo wing V -Window settings. Xmin = –6.3, Xmax = 6.3, Xscale = 1 Ymin = –3.1, Ymax = 3.1, Yscale = 1 (initial defaults) Procedure 1 m GRAPH 2 !3 (V -WIN) 1 (INIT) J 3 !m (SET UP) cccccc 1 ( ) J 4 3 (TYPE) 1 (Y=) v ( v +c)( v -c) w 5[...]

  • Page 251

    20070201 k Inser ting Comments Description Y ou can inser t comments anywhere you w ant in a graph. Set Up 1. Draw the graph. Execution 2. Press !4 (SKTCH) 6 ( g ) 6 ( g ) 2 (T e xt), and a pointer appears in the center of the display . 3. Use the cursor keys to mov e the pointer to the location where you want the te xt to be, and input the text. 5[...]

  • Page 252

    20070201 Example Insert text into the graph y = x ( x + 2)( x – 2). Use the follo wing V -Window settings. Xmin = –5, Xmax = 5, Xscale = 1 Ymin = –5, Ymax = 5, Yscale = 1 Procedure 1 m GRAPH !3 (V -WIN) - f w f w b w c - f w f w b wJ 3 (TYPE) 1 (Y=) v ( v +c)( v -c) w 6 (DRAW) 2 !4 (SKTCH) 6 ( g ) 6 ( g ) 2 (T ext) 3 f ~ f d ~ d a - (Y) ! . ([...]

  • Page 253

    20070201 k Freehand Drawing Description Y ou can use the pen option for freehand dra wing in a graph. Set Up 1. Draw the graph. Execution 2. Press !4 (SKTCH) 6 ( g ) 6 ( g ) 1 (PEN), and a pointer appears in the center of the screen. 3. Use the cursor keys to mov e the pointer to the point from which you want to star t drawing, and then press w . 4[...]

  • Page 254

    20070201 Example Use the pen to draw on the graph y = x ( x + 2)( x – 2). Use the follo wing V -Window settings. Xmin = –5, Xmax = 5, Xscale = 1 Ymin = –5, Ymax = 5, Yscale = 1 Procedure 1 m GRAPH !3 (V -WIN) - f w f w b w c - f w f w b wJ 3 (TYPE) 1 (Y=) v ( v +c)( v -c) w 6 (DRAW) 2 !4 (SKTCH) 6 ( g ) 6 ( g ) 1 (PEN) 3 f ~ f d ~ d w 4 cd ?[...]

  • Page 255

    20070201 5-10-7 Changing the Appearance of a Graph k Changing the Graph Backgr ound Y ou can use the Setup screen to specify the memor y contents of any picture memory area (Pict 1 through Pict 20) as the Background item. When y ou do , the contents of the corresponding memory area is used as the background of the graph screen. Example 1 With the c[...]

  • Page 256

    20070201 5-11 Function Analysis k Reading Coordinates on a Graph Line Description T race lets you mov e a pointer along a graph and read out coordinates on the displa y . Set Up 1. From the Main Menu, enter the GRAPH mode. 2. Draw the graph. Execution 3. Press !1 (TRCE), and a pointer appears in the center of the graph.* 1 4. Use d and e to mov e t[...]

  • Page 257

    20070201 Example Read coordinates along the graph of the function sho wn below . Y1 = x 2 – 3 Use the follo wing V -Window settings. Xmin = –5, Xmax = 5, Xscale = 1 Ymin = –10, Ymax = 10, Yscale = 2 Procedure 1 m GRAPH 2 !3 (V -WIN) - f w f w b w c - ba w ba w c wJ 3 (TYPE) 1 (Y=) vx -d w 6 (DRAW) 3 !1 (TRCE) 4 d ~ d 5 - b w Result Screen 5-1[...]

  • Page 258

    20070201 k Displaying the Deriv ative Description In addition to using T race to display coordinates , you can also displa y the der ivativ e at the current pointer location. Set Up 1. From the Main Menu, enter the GRAPH mode. 2. On the Setup screen, specify On for Derivativ e. 3. Draw the graph. Execution 4. Press !1 (TRCE), and the pointer appear[...]

  • Page 259

    20070201 Example Read coordinates and deriv atives along the graph of the function shown below . Y1 = x 2 – 3 Use the follo wing V -Window settings. Xmin = –5, Xmax = 5, Xscale = 1 Ymin = –10, Ymax = 10, Yscale = 2 Procedure 1 m GRAPH 2 !m (SET UP) cccc 1 (On) J 3 !3 (V -WIN) - f w f w b w c - ba w ba w c wJ 3 (TYPE) 1 (Y=) vx -d w 6 (DRAW) 4[...]

  • Page 260

    20070201 k Graph to T able Description Y ou can use trace to read the coordinates of a graph and store them in a number tab le. Y ou can also use Dual Graph to simultaneously store the gr aph and number table , making this an impor tant graph analysis tool. Set Up 1. From the Main Menu, enter the GRAPH mode. 2. On the Setup screen, specify GtoT for[...]

  • Page 261

    20070201 Example Save, in a table, the coordinates in the vicinity of the points of intersection at X = 0 f or the two graphs sho wn below , and store the table contents in List 1. Y1 = x 2 – 3, Y2 = – x + 2 Use the follo wing V -Window settings. Xmin = –5, Xmax = 5, Xscale = 1 Ymin = –10, Ymax = 10, Yscale = 2 Procedure 1 m GRAPH 2 !m (SET[...]

  • Page 262

    20070201 k Coordinate Rounding Description This function rounds off coordinate values displa yed by T race. Set Up 1. From the Main Menu, enter the GRAPH mode. 2. Draw the graph. Execution 3. Press !2 (ZOOM) 6 ( g ) 3 (RND). This causes the V -Window settings to be changed automatically in accordance with the Rnd value . 4. Press !1 (TRCE), and the[...]

  • Page 263

    20070201 Example Use coordinate r ounding and display the coor dinates in the vicinity of the points of intersection f or the two graphs pr oduced by the functions shown below . Y1 = x 2 – 3, Y2 = – x + 2 Use the follo wing V -Window settings. Xmin = –5, Xmax = 5, Xscale = 1 Ymin = –10, Ymax = 10, Yscale = 2 Procedure 1 m GRAPH 2 !3 (V -WIN[...]

  • Page 264

    20070201 k Calculating the Root Description This feature pro vides a number of diff erent methods f or analyzing graphs . Set Up 1. From the Main Menu, enter the GRAPH mode. 2. Draw the graphs . Execution 3. Select the analysis function. !5 (G-SL V) 1 (ROO T) ... Calculation of root 2 (MAX) ... Local maximum v alue 3 (MIN) ... Local minimum v alue [...]

  • Page 265

    20070201 Example Draw the graph shown belo w and calculate the root f or Y1. Y1 = x ( x + 2)( x – 2) Use the follo wing V -Window settings. Xmin = –6.3, Xmax = 6.3, Xscale = 1 Ymin = –3.1, Ymax = 3.1, Yscale = 1 (initial defaults) Procedure 1 m GRAPH 2 !3 (V -WIN) 1 (INIT) J 3 (TYPE) 1 (Y=) v ( v +c)( v -c) w 6 (DRAW) 3 !5 (G-SL V) 1 (ROO T) [...]

  • Page 266

    20070201 k Calculating the P oint of Intersection of T wo Graphs Description Use the follo wing procedure to calculate the point of intersection of two gr aphs. Set Up 1. Draw the graphs . Execution 2. Press !5 (G-SL V) 5 (ISCT). When there are three or more gr aphs, the selection cursor ( k ) appears at the lowest numbered gr aph. 3. Press f and c[...]

  • Page 267

    20070201 Example Graph the two functions sho wn below , and determine the point of intersection between Y1 and Y2. Y1 = x + 1, Y2 = x 2 Use the follo wing V -Window settings. Xmin = –5, Xmax = 5, Xscale = 1 Ymin = –5, Ymax = 5, Yscale = 1 Procedure 1 m GRAPH !3 (V -WIN) - f w f w b w c - f w f w b wJ 3 (TYPE) 1 (Y=) v +b w vxw 6 (DRAW) 2 !5 (G-[...]

  • Page 268

    20070201 k Determining the Coordinates f or Given P oints Description The follo wing procedure describes how to determine the y -coordinate for a giv en x , and the x -coordinate for a giv en y . Set Up 1. Draw the graph. Execution 2. Select the function you want to perf orm. When there are multiple graphs , the selection cursor ( k ) appears at th[...]

  • Page 269

    20070201 Example Graph the two functions sho wn below and then determine the y - coordinate f or x = 0.5 and the x -coordinate for y = 2.2 on graph Y2. Y1 = x + 1, Y2 = x ( x + 2)( x – 2) Use the follo wing V -Window settings. Xmin = –6.3, Xmax = 6.3, Xscale = 1 Ymin = –3.1, Ymax = 3.1, Yscale = 1 (initial defaults) Procedure 1 m GRAPH !3 (V [...]

  • Page 270

    20070201 k Calculating the lntegral V alue for a Given Range Description Use the follo wing procedure to obtain integration v alues for a given r ange. Set Up 1. Draw the graph. Execution 2. Press !5 (G-SL V) 6 ( g ) 3 ( ∫ dx ). When there are multiple gr aphs, this causes the selection cursor ( k ) to appear at the lowest numbered gr aph. 3. Use[...]

  • Page 271

    20070201 Example Graph the function shown below , and then determine the integral v alue at (–2, 0). Y1 = x ( x + 2)( x – 2) Use the follo wing V -Window settings. Xmin = –6.3, Xmax = 6.3, Xscale = 1 Ymin = –4, Ymax = 4, Yscale = 1 Procedure 1 m GRAPH !3 (V -WIN) - g.d w g.d w b w c - e w e w b wJ 3 (TYPE) 1 (Y=) v ( v +c)( v -c) w 6 (DRAW)[...]

  • Page 272

    20070201 k Conic Section Graph Analysis Y ou can deter mine approximations of the f ollowing analytical results using conic section graphs . • Focus/v er te x/eccentricity • Length of latus rectum • Center/radius • x -/ y -intercept • Directrix/axis of symmetr y drawing and analysis • Asymptote drawing and analysis 1. From the Main Men [...]

  • Page 273

    20070201 u T o calculate the focus, ver tex and length of latus rectum [G-SL V]-[FOCS]/[VTX]/[LEN] Example T o determine the focus, ver tex and length of latus rectum for the parabola X = (Y – 2) 2 + 3 Use the follo wing V -Window settings. Xmin = –1, Xmax = 10, Xscale = 1 Ymin = –5, Ymax = 5, Yscale = 1 m CONICS w b w c w d w6 (DRA W) !5 (G-[...]

  • Page 274

    20070201 u T o calculate the center and radius [G-SL V]-[CNTR]/[RADS] Example T o determine the center and radius for the cir cle (X + 2) 2 + (Y + 1) 2 = 2 2 Use the follo wing V -Window settings. Xmin = –6.3, Xmax = 6.3, Xscale = 1 Ymin = –3.1, Ymax = 3.1, Yscale = 1 (initial defaults) m CONICS cccc w - c w- b w c w6 (DRA W) !5 (G-SL V) 1 (CNT[...]

  • Page 275

    20070201 u T o calculate the x - and y -intercepts [G-SL V]-[X-IN]/[Y-IN] Example T o determine the x - and y -intercepts for the h yperbola Use the follo wing V -Window settings. Xmin = –4, Xmax = 8, Xscale = 1 Ymin = –5, Ymax = 5, Yscale = 1 m CONICS ccccccc w c w c w d w b w6 (DRA W) !5 (G-SL V) 2 (X-IN) (Calculates the x -intercept.) !5 (G-[...]

  • Page 276

    20070201 u T o draw and analyze the axis of symmetry and directrix [G-SL V]-[SYM]/[DIR] Example T o draw the axis of symmetry and directrix for the parabola X = 2(Y – 1) 2 + 1 Use the follo wing V -Window settings. Xmin = –6.3, Xmax = 6.3, Xscale = 1 Ymin = –3.1, Ymax = 3.1, Yscale = 1 (initial defaults) m CONICS w c w b w b w6 (DRA W) !5 (G-[...]

  • Page 277

    20070201 u T o draw and analyze the asymptotes [G-SL V]-[ASYM] Example T o draw the asymptotes f or the hyperbola Use the follo wing V -Window settings. Xmin = –6.3, Xmax = 6.3, Xscale = 1 Ymin = –5, Ymax = 5, Yscale = 1 m CONICS ccccccc w c w c w b w b w6 (DRA W) !5 (G-SL V) 5 (ASYM) (Draws the asymptotes .) u T o calculate eccentricity [G-SL [...]

  • Page 278

    20070201 Statistical Graphs and Calculations This chapter describes how to input statistical data into lists, ho w to calculate the mean, maximum and other statistical v alues, ho w to perf or m v arious statistical tests, how to determine the confi dence inter val, and ho w to produce a distribution of statistical data. It also tells you ho w to [...]

  • Page 279

    20070201 6-1 Before P erf orming Statistical Calculations Entering the ST A T mode from the Main Menu displays the List Editor screen. Y ou can use the List Editor screen to input statistical data and perform statistical calculations. Use f , c , d and e to mov e the highlighting around the lists. Once you input data, y ou can use it to produce a g[...]

  • Page 280

    20070201 k Changing Graph P arameters Use the follo wing procedures to specify the graph dr aw/non-dra w status, the graph type, and other general settings f or each of the graphs in the g raph menu (GPH1, GPH2, GPH3). While the statistical data list is on the display , press 1 (GRPH) to display the g raph menu, which contains the follo wing items.[...]

  • Page 281

    20070201 • Mark T ype This setting lets you specify the shape of the plot points on the gr aph. u T o display the general graph settings screen [GRPH]-[SET] Pressing 1 (GRPH) 6 (SET) displays the general g raph settings screen. • The settings shown here are e xamples only . The settings on y our general graph settings screen may diff er. • St[...]

  • Page 282

    20070201 2. Graph draw/non-dra w status [GRPH]-[SEL] The follo wing procedure can be used to specify the dra w (On)/non-draw (Off) status of each of the graphs in the gr aph menu. u T o specify the draw/non-draw status of a graph 1. Pressing 1 (GRPH) 4 (SEL) displays the g raph On/Off screen. • Note that the StatGraph1 setting is f or Graph 1 (GP[...]

  • Page 283

    20070201 6-2 Calculating and Graphing Single-V ariable Statistical Data Single-variable data is data with only a single v ar iable. If you are calculating the av erage height of the members of a class for e xample, there is only one variable (height). Single-variable statistics include distribution and sum. The following types of gr aphs are av ail[...]

  • Page 284

    20070201 k Med-box Graph (MedBo x) This type of graph lets y ou see how a large number of data items are g rouped within specifi c ranges. A box encloses all the data in an area from the fi rst quartile (Q1) to the third quar tile (Q3), with a line drawn at the median (Med). Lines (called whiskers) extend from either end of the box up to the mini[...]

  • Page 285

    20070201 k Normal Distribution Curve (N • Dis) The normal distr ibution curve is graphed using the f ollowing nor mal distribution function. XList specifi es the list where the data is input, while F req specifi es the list where the data frequency is input. 1 is specifi ed for F req when frequency is not specifi ed. k Broken Line Graph (Brkn[...]

  • Page 286

    20070201 k Displaying the Calculation Results of a Dra wn Single-V ariable Graph Single-variable statistics can be e xpressed as both graphs and parameter v alues. When these graphs are displa yed, the single-variable calculation results appear as sho wn below when you press 1 (1V AR). • Use c to scroll the list so you can view the items that run[...]

  • Page 287

    20070201 6-3-1 Calculating and Graphing P aired-V ariable Statistical Data 6-3 Calculating and Graphing P aired-V ariable Statistical Data k Drawing a Scatter Diagram and xy Line Graph Description The follo wing procedure plots a scatter diagram and connects the dots to produce an xy line graph. Set Up 1. From the Main Menu, enter the S TAT mode. E[...]

  • Page 288

    20070201 Example Input the two sets of data sho wn below . Next, plot the data on a scatter diagram and connect the dots to produce an xy line graph. 0.5, 1.2, 2.4, 4.0, 5.2 ( x List) –2.1, 0.3, 1.5, 2.0, 2.4 ( y List) Procedure 1 m ST A T 2 a.f w b.c w c.e w e w f.c w e - c.b w a.d w b.f w c w c.e w 3 (Scatter diagram) 1 (GRPH) 6 (SET) c 1 (Scat[...]

  • Page 289

    20070201 k Drawing a Regression Graph Description Use the follo wing procedure to input paired-v ariable statistical data, perform a regression calculation using the data, and then graph the results . Set Up 1. From the Main Menu, enter the S TAT mode. Execution 2. Input the data into a list, and plot the scatter diagram. 3. Select the regression t[...]

  • Page 290

    20070201 Example Input the two sets of data sho wn below and plot the data on a scatter diagram. Next, perf orm logarithmic regression on the data to display the regression parameters, and then draw the corresponding regression graph. 0.5, 1.2, 2.4, 4.0, 5.2 ( x List) –2.1, 0.3, 1.5, 2.0, 2.4 ( y List) Procedure 1 m ST A T 2 a.f w b.c w c.e w e w[...]

  • Page 291

    20070201 k Selecting the Regression T ype After you gr aph paired-variab le statistical data, press 1 (CALC). Then you can use the function menu at the bottom of the displa y to select from a variety of diff erent types of regression. • { 2V AR } ... {paired-variable statistical results} • { X } / { Med } / { X^2 } / { X^3 } / { X^4 } / { Log }[...]

  • Page 292

    20070201 k Linear Regression Graph Linear regression uses the method of least squares to plot a straight line that passes close to as many data points as possib le, and returns values f or the slope and y -intercept ( y -coordinate when x = 0) of the line. The graphic representation of this relationship is a linear regression g raph. 1 (CALC) 2 (X)[...]

  • Page 293

    20070201 k Quadratic/Cubic/Quartic Regression Graph A quadratic/cubic/quartic regression graph represents connection of the data points of a scatter diagram. It uses the method of least squares to draw a curve that passes close to as many data points as possib le. The f ormula that represents this is quadratic/cubic/quar tic regression. Ex. Quadrat[...]

  • Page 294

    20070201 k Logarithmic Regression Graph Logarithmic regression expresses y as a logarithmic function of x . The standard logar ithmic regression f ormula is y = a + b × In x , so if we say that X = In x , the formula corresponds to linear regression f ormula y = a + b X. 1 (CALC) 6 ( g ) 2 (Log) 6 (DRA W) The follo wing is the logarithmic regressi[...]

  • Page 295

    20070201 k Po wer Regression Graph P ower regression e xpresses y as a propor tion of the power of x . The standard po wer regression f ormula is y = a × x b , so if we take the logarithm of both sides we get In y = In a + b × In x . Next, if we sa y X = In x , Y = In y , and A = In a , the formula corresponds to linear regression f ormula Y = A [...]

  • Page 296

    20070201 k Logistic Regression Graph Logistic regression is best applied f or time-based phenomena in which there is a continual increase until a saturation point is reached. The follo wing is the logistic regression model f ormula. y = c 1 + ae –bx 1 (CALC) 6 ( g ) 6 ( g ) 1 (Lgst) 6 (DRA W) • Cer tain types of data may tak e a long time to ca[...]

  • Page 297

    20070201 k Displaying the Calculation Results of a Dra wn P aired-V ariable Graph P aired-variab le statistics can be expressed as both g raphs and parameter v alues. When these graphs are displa yed, the paired-variable calculation results appear as sho wn below when you press 1 (CALC) 1 (2V AR). • Use c to scroll the list so you can view the it[...]

  • Page 298

    20070201 k Multiple Graphs Y ou can draw more than one gr aph on the same display b y using the procedure under “Changing Graph P arameters” to set the gr aph dra w (On)/non-draw (Off) status of tw o or all three of the graphs to dra w On, and then pressing 6 (DRA W)(see page 6-1-4). After drawing the g raphs, y ou can select which graph f or m[...]

  • Page 299

    20070201 k Overlaying a Function Graph on a Statistical Graph Description Y ou can overla y a paired-v ariable statistical graph with an y type of function graph y ou want. Set Up 1. From the Main Menu, enter the S TAT mode. Execution 2. Input the data into a list, and draw the statistical graph. 3. Display the Graph Function menu, and input the fu[...]

  • Page 300

    20070201 Example Input the two sets of data sho wn below . Next, plot the data on a scatter diagram and overla y a function graph y = 2ln x . 0.5, 1.2, 2.4, 4.0, 5.2 –2.1, 0.3, 1.5, 2.0, 2.4 Procedure 1 m ST A T 2 a.f w b.c w c.e w e w f.c w e - c.b w a.d w b.f w c w c.e w 1 (GRPH) 1 (GPH1) 3 2 (DefG) c Ivw (Register Y1 = 2In x ) 4 6 (DRAW) Resul[...]

  • Page 301

    20070201 6-4 P erforming Statistical Calculations All of the statistical calculations up to this point were perf ormed after displaying a graph. The follo wing procedures can be used to perf orm statistical calculations alone. u T o specify statistical calculation data lists Y ou hav e to input the statistical data for the calculation y ou want to [...]

  • Page 302

    20070201 k Single-V ariable Statistical Calculations In the previous e xample under “Displa ying the Calculation Results of a Dra wn Single-V ariable Graph”, statistical calculation results were displa yed after the graph was dr awn. These were numeric expressions of the char acteristics of variables used in the graphic displa y . These values [...]

  • Page 303

    20070201 k Regression Calculation In the explanations from “Linear Regression Graph” to “Logistic Regression Graph, ” regression calculation results were displa yed after the graph was dr awn. Here, each coeffi cient v alue of the regression line or regression curve is e xpressed as a number. Y ou can directly deter mine the same expressio[...]

  • Page 304

    20070201 • Linear Regression ... M Se = Σ 1 n – 2 i =1 n ( y i – ( ax i + b )) 2 • Quadratic Regression ... M Se = Σ 1 n – 3 i =1 n ( y i – ( ax i + bx i + c )) 2 2 • Cubic Regression ... M Se = Σ 1 n – 4 i =1 n ( y i – ( ax i 3 + bx i + cx i + d )) 2 2 • Quar tic Regression ... M Se = Σ 1 n – 5 i =1 n ( y i – ( ax i 4 +[...]

  • Page 305

    20070201 2. Input the value you want f or x and then press w . • This causes the coordinates for x and y to appear at the bottom of the display , and mov es the pointer to the corresponding point on the graph. 3. Pressing v or a number key at this time causes the x -value input dialog bo x to reappear so you can perf or m another estimated value [...]

  • Page 306

    20070201 6-4-6 P erforming Statistical Calculations # Y ou cannot obtain estimated values for a Med- Med, quadratic regression, cubic regression, quartic regression, sinusoidal regression, or logistic regression graph. xi yi 10 1003 15 1005 20 1010 25 1011 30 1014 1. From the Main Menu, enter the S TAT mode. 2. Input data into the list and draw the[...]

  • Page 307

    20070201 k Normal Probability Distrib ution Calculation Y ou can calculate nor mal probability distributions f or single-variable statistics with the RU N • MA T mode. Press K 6 ( g ) 3 (PROB) 6 ( g ) to display a function menu, which contains the f ollowing items. • { P( } / { Q( } / { R( } ... obtains nor mal probability {P( t )}/{Q( t )}/{R([...]

  • Page 308

    20070201 1. From the Main Menu, enter the S TAT mode. 2. Input the height data into List 1 and the frequency data into List 2. 3. Perf or m the single-variable statistical calculations.* 1 2 (CALC) 6 (SET) 1 (LIST) b w c 2 (LIST) c w!J (QUIT) 2 (CALC) 1 (1V AR) 4. Press m , select the RUN • MA T mode, press K 6 ( g ) 3 (PROB) to recall the probab[...]

  • Page 309

    20070201 6-4-9 P erforming Statistical Calculations k Drawing a Normal Probability Distrib ution Graph Description Y ou can draw a normal probability distribution graph using manual g raphing with the RU N • MA T mode. Set Up 1. From the Main Menu, enter the RU N • MA T mode. Execution 2. Input the commands to draw a rectangular coordinate grap[...]

  • Page 310

    20070201 6-4-10 P erforming Statistical Calculations Example T o draw a normal pr obability P (0.5) graph. Procedure 1 m RUN • MA T 2 !4 (SKTCH) 1 (Cls) w 5 (GRPH) 1 (Y=) 3 K 6 ( g ) 3 (PROB) 6 ( g ) 1 (P() a.f w Result Screen[...]

  • Page 311

    20070201 6-5 T ests The Z T est provides a variety of diff erent standardization-based tests. They mak e it possible to test whether or not a sample accurately represents the population when the standard deviation of a population (such as the entire population of a country) is known from pre vious tests. Z testing is used for market research and pu[...]

  • Page 312

    20070201 The follo wing pages e xplain various statistical calculation methods based on the principles described above . Details concer ning statistical principles and ter minology can be found in any standard statistics te xtbook. On the initial S TAT mode screen, press 3 (TEST) to display the test menu, which contains the follo wing items. • 3 [...]

  • Page 313

    20070201 P erform the following k ey oper ations from the statistical data list. 3 (TEST) 1 (Z) 1 (1-S) The follo wing shows the meaning of each item in the case of list data specifi cation. Data .............................. data type μ .................................. population mean value test conditions (“ G μ 0 ” specifi es two-tail[...]

  • Page 314

    20070201 Calculation Result Output Example μ G 11.4 ........................ direction of test z .................................. z score p .................................. p-value ¯ x .................................. mean of sample x σ n -1 ............................. sample standard deviation (Display ed only for Data: List setting.) n[...]

  • Page 315

    20070201 u 2-Sample Z T est This test is used when the standard deviations f or two populations are known to test the hypothesis . The 2-Sample Z Te s t is applied to the nor mal distribution. ¯ x 1 : mean of sample 1 ¯ x 2 : mean of sample 2 σ 1 : population standard de viation of sample 1 σ 2 : population standard de viation of sample 2 n 1 :[...]

  • Page 316

    20070201 The follo wing shows the meaning of par ameter data specifi cation items that are diff erent from list data specifi cation. ¯ x 1 ................................. mean of sample 1 n 1 ................................. size (positive integer) of sample 1 ¯ x 2 ................................. mean of sample 2 n 2 .....................[...]

  • Page 317

    20070201 u 1-Prop Z T est This test is used to test for an unkno wn propor tion of successes. The 1-Prop Z T est is applied to the normal distr ibution. p 0 : e xpected sample propor tion n : siz e of sample P erform the following k ey oper ations from the statistical data list. 3 (TEST) 1 (Z) 3 (1-P) Prop .............................. sample prop[...]

  • Page 318

    20070201 u 2-Prop Z Te s t This test is used to compare the propor tion of successes. The 2-Prop Z Te s t is applied to the normal distr ibution. x 1 : data value of sample 1 x 2 : data value of sample 2 n 1 : size of sample 1 n 2 : size of sample 2 ˆ p : estimated sample propor tion P erform the following k ey oper ation from the statistical data[...]

  • Page 319

    20070201 Calculation Result Output Example p 1 > p 2 ............................ direction of test z ................................... z score p .................................. p-value ˆ p 1 ................................. estimated propor tion of sample 1 ˆ p 2 ................................. estimated propor tion of sample 2 ˆ p .[...]

  • Page 320

    20070201 k t Te s t s u t T est Common Functions Y ou can use the follo wing graph analysis functions after dra wing a t T est result output graph. • 1 (T) ... Displa ys t score. Pressing 1 (T) displays the t score at the bottom of the display , and displays the pointer at the corresponding location in the graph (unless the location is off the gr[...]

  • Page 321

    20070201 u 1-Sample t T est This test uses the hypothesis test f or a single unknown population mean when the population standard deviation is unkno wn. The 1-Sample t T est is applied to t -distribution. ¯ x : mean of sample μ 0 : assumed population mean x σ n -1 : sample standard de viation n : siz e of sample P erform the following k ey oper [...]

  • Page 322

    20070201 Calculation Result Output Example μ G 11.3 ...................... direction of test t ................................... t score p .................................. p-value ¯ x .................................. mean of sample x σ n -1 ............................. sample standard deviation n .................................. size of[...]

  • Page 323

    20070201 u 2-Sample t T est 2-Sample t T est compares the population means when the population standard deviations are unknown. The 2-Sample t Te s t is applied to t -distribution. The follo wing applies when pooling is in eff ect. d f = n 1 + n 2 – 2 t = o 1 – o 2 n 1 1 + n 2 1 x p n –1 2 σ t = o 1 – o 2 n 1 1 + n 2 1 x p n –1 2 σ x p [...]

  • Page 324

    20070201 The follo wing shows the meaning of each item in the case of list data specifi cation. Data .............................. data type μ 1 ................................. sample mean value test conditions (“ G μ 2 ” specifi es two-tail test, “< μ 2 ” specifi es one-tail test where sample 1 is smaller than sample 2, “>[...]

  • Page 325

    20070201 Calculation Result Output Example μ 1 G μ 2 ........................... direction of test t ................................... t score p .................................. p-value df ................................. degrees of freedom ¯ x 1 ................................. mean of sample 1 ¯ x 2 ................................. mea[...]

  • Page 326

    20070201 u LinearReg t Te s t LinearReg t Test treats paired-variable data sets as ( x , y ) pairs, and uses the method of least squares to determine the most appropr iate a , b coeffi cients of the data for the regression f ormula y = a + bx . It also deter mines the correlation coeffi cient and t value , and calculates the extent of the relatio[...]

  • Page 327

    20070201 # [Save Res] does not sa ve the β & ρ conditions in line 2. # When the list specifi ed by [Sa ve Res] is the same list specifi ed b y the [Resid List] item on the Setup screen, only [Resid List] data is sav ed in the list. 6-5-17 Te s t s Calculation Result Output Example β G 0 & ρ G 0 ............... direction of test t ....[...]

  • Page 328

    20070201 # The matrix must be at least two lines b y two columns. An error occurs if the matrix has only one line or one column. # Pressing 1 (Mat) while the “Observed” and “Expected” parameter settings are highlighted will display the Matrix (A to Z) setting screen. 6-5-18 Te s t s # Pressing 2 ( ' MA T) while setting parameters enter[...]

  • Page 329

    20070201 # Pressing 6 ( ' MA T) while a calculation result is display ed enters the Matrix Editor , which you can use to edit and vie w the contents of matrices. # The following V -Window settings are used f or drawing the g raph. Xmin = 0, Xmax = 11.5, Xscale = 2, Ymin = –0.1, Ymax = 0.5, Yscale = 0.1 # Ex ecuting an analysis function autom[...]

  • Page 330

    20070201 6-5-20 Te s t s k 2-Sample F T est 2-Sample F T est tests the hypothesis f or the ratio of sample v ariances. The F T est is applied to the F distr ibution. P erform the following k ey oper ations from the statistical data list. 3 (TEST) 4 (F) The follo wing is the meaning of each item in the case of list data specifi cation. Data .......[...]

  • Page 331

    20070201 # [Save Res] does not sa ve the σ 1 condition in line 2. # V -Window settings are automatically optimized f or drawing the g raph. # Ex ecuting an analysis function automatically stores the F and p values in alpha variables F and P , respectively . 6-5-21 Te s t s After setting all the parameters, use c to move the highlighting to “Ex e[...]

  • Page 332

    20070201 * 1 [Sav e Res] sav es each vertical column of the table into its own list. The leftmost column is sav ed in the specifi ed list, and each subsequent column to the right is saved in the next sequentially numbered list. Up to fi ve lists can be used for storing columns. Y ou can specify an fi rst list n umber in the range of 1 to 22. 6-5[...]

  • Page 333

    20070201 # Graphing is availab le with T wo-W ay ANO V A only . V -Window settings are performed automatically , regardless of Setup screen settings. # Using the T race function automatically stores the number of conditions to alpha variab le A and the mean value to v ariable M, respectively . 6-5-23 Te s t s Calculation Result Output Example One-W[...]

  • Page 334

    20070201 k ANO V A (T wo-W ay) u Description The nearby tab le shows measurement results f or a metal product produced by a heat treatment process based on two treatment le vels: time (A) and temperature (B). The experiments were repeated twice each under identical conditions . P erform analysis of variance on the following n ull h ypothesis, using[...]

  • Page 335

    20070201 u Input Example u Results 6-5-25 Te s t s[...]

  • Page 336

    20070201 6-6 Confi dence Inter v al A confi dence interval is a range (interval) that includes a statistical v alue, usually the population mean. A confi dence interval that is too broad makes it diffi cult to get an idea of where the population value (true v alue) is located. A narrow confi dence interval, on the other hand, limits the popula[...]

  • Page 337

    20070201 u General Confi dence Interval Precautions Inputting a value in the r ange of 0 < C-Lev el < 1 for the C-Le vel setting sets you v alue you input. Inputting a value in the range of 1 < C-Lev el < 100 sets a value equivalent to y our input divided by 100. # Inputting a value of 100 or greater , or a negative v alue causes an er[...]

  • Page 338

    20070201 k Z Interval u 1-Sample Z Inter val 1-Sample Z Inter val calculates the confi dence interval f or an unknown population mean when the population standard deviation is kno wn. The follo wing is the confi dence interval. Howe ver , α is the level of signifi cance. The v alue 100 (1 – α ) % is the confi dence le vel. When the confi d[...]

  • Page 339

    20070201 After setting all the parameters, use c to move the highlighting to “Ex ecute” and then press the function ke y shown belo w to perform the calculation. • 1 (CALC) ... P erforms the calculation. Calculation Result Output Example Left .............................. confi dence interval low er limit (left edge) Right .................[...]

  • Page 340

    20070201 The follo wing shows the meaning of each item in the case of list data specifi cation. Data ............................. data type C-Lev el ......................... confi dence le vel (0 < C-Level < 1) σ 1 ................................. population standard deviation of sample 1 ( σ 1 > 0) σ 2 ............................[...]

  • Page 341

    20070201 u 1-Prop Z Inter val 1-Prop Z Interval uses the number of data to calculate the confi dence interval f or an unknown proportion of successes. The follo wing is the confi dence interval. α is the level of signifi cance. The v alue 100 (1 – α ) % is the confi dence le v el. n : size of sample x : data P erform the following k ey oper[...]

  • Page 342

    20070201 u 2-Prop Z Inter val 2-Prop Z Interval uses the number of data items to calculate the confi dence interval f or the defference betw een the propor tion of successes in two populations. The follo wing is the confi dence interval. α is the level of signifi cance. The v alue 100 (1 – α ) % is the confi dence le v el. n 1 , n 2 : siz e[...]

  • Page 343

    20070201 Left ............................... confi dence interval low er limit (left edge) Right ............................. confi dence interval upper limit (right edge) ˆ p 1 ................................. estimated sample propotion for sample 1 ˆ p 2 ................................. estimated sample propotion for sample 2 n 1 ........[...]

  • Page 344

    20070201 ¯ x ................................... mean of sample x σ n -1 ............................. sample standard deviation ( x σ n -1 > 0) n .................................. size of sample (positive integer) After setting all the parameters, use c to move the highlighting to “Ex ecute” and then press the function ke y shown belo w[...]

  • Page 345

    20070201 The follo wing confi dence interval applies when pooling is not in eff ect. α is the lev el of signifi cance . The v alue 100 (1 – α ) % is the confi dence le vel. P erform the following k ey oper ations from the statistical data list. 4 (INTR) 2 (t) 2 (2-S) The follo wing shows the meaning of each item in the case of list data spec[...]

  • Page 346

    20070201 ¯ x 1 ................................. mean of sample 1 x 1 σ n -1 ............................ standard deviation ( x 1 σ n -1 > 0) of sample 1 n 1 ................................. size (positive integer) of sample 1 ¯ x 2 ................................. mean of sample 2 x 2 σ n -1 ............................ standard deviati[...]

  • Page 347

    20070201 6-7 Distribution There is a variety of diff erent types of distribution, but the most w ell-known is “normal distribution, ” which is essential for perf or ming statistical calculations. Nor mal distribution is a symmetrical distribution centered on the greatest occurrences of mean data (highest frequency), with the frequency decreasin[...]

  • Page 348

    20070201 u Common Distribution Functions After drawing a g raph, y ou can use the P-CAL function to calculate an estimated p-value f or a par ticular x value. The follo wing is the general procedure f or using the P-CAL function. 1. After drawing a distribution graph, press !5 (G-SL V) 1 (P-CAL) to display the x value input dialog bo x. 2. Input th[...]

  • Page 349

    20070201 k Normal Distribution u Normal Probability Density Normal probability density calculates the probability density of nomal distr ibution from a specifi ed x value . Nor mal probability density is applied to standard nor mal distribution. ( σ > 0) P erform the following k ey oper ations from the statistical data list. 5 (DIST) 1 (NORM) [...]

  • Page 350

    20070201 u Normal Distribution Probability Normal distr ibution probability calculates the probability of normal distribution data falling between two specifi c values . a : lower boundary b : upper boundar y P erform the following k ey oper ations from the statistical data list. 5 (DIST) 1 (NORM) 2 (Ncd) Data is specifi ed using parameter speci?[...]

  • Page 351

    20070201 Calculation Result Output Example p ................................. nor mal distribution probability z:Low .......................... z:Low value (con ver ted to standardize z score for lo wer value) z:Up ............................ z:Up value (con verted to standardize z score for upper v alue) u Inver se Cumulative Normal Distrib utio[...]

  • Page 352

    20070201 After setting all the parameters, use c to move the highlighting to “Ex ecute” and then press the function ke y shown belo w to perform the calculation. • 1 (CALC) ... P erforms the calculation. Calculation Result Output Examples x .................................. inv erse cumulativ e normal distr ibution • When [Left] is selecte[...]

  • Page 353

    20070201 k Student- t Distribution u Student- t Probability Density Student- t probability density calculates t probability density from a specifi ed x va l ue . P erform the following k ey oper ations from the statistical data list. 5 (DIST) 2 (t) 1 (tpd) Data is specifi ed using parameter specifi cation. The f ollowing shows the meaning of eac[...]

  • Page 354

    20070201 u Student- t Distribution Probability Student- t distribution probability calculates the probability of t distr ibution data f alling between two specifi c values . a : lower boundary b : upper boundar y P erform the following k ey oper ations from the statistical data list. 5 (DIST) 2 (t) 2 (tcd) Data is specifi ed using parameter speci[...]

  • Page 355

    20070201 Calculation Result Output Example p .................................. Student- t distribution probability t:Low ............................ t:Low value (input low er value) t:Up .............................. t:Up value (input upper value) k χ 2 Distribution u χ 2 Probability Density χ 2 probability density calculates the probability [...]

  • Page 356

    20070201 Calculation Result Output Example p .................................. χ 2 probability density # Current V -Window settings are used for graph dra wing when the Setup screen’ s [Stat Wind] setting is [Manual]. The V -Window settings below are set automatically when the [Stat Wind] setting is [A uto]. Xmin = 0, Xmax = 11.5, Xscale = 2, Y[...]

  • Page 357

    20070201 u χ 2 Distribution Probability χ 2 distribution probability calculates the probability of χ 2 distribution data falling betw een two specifi c values . a : lower boundary b : upper boundar y P erform the following k ey oper ations from the statistical data list. 5 (DIST) 3 (CHI) 2 (Ccd) Data is specifi ed using parameter specifi cati[...]

  • Page 358

    20070201 Calculation Result Output Example p .................................. χ 2 distribution probability k F Distribution u F Probability Density F probability density calculates the probability density function for the F distribution at a specifi ed x value . P erform the following k ey oper ations from the statistical data list. 5 (DIST) 4 [...]

  • Page 359

    20070201 Calculation Result Output Example p .................................. F probability density # V -Window settings for g raph drawing are set automatically when the Setup screen’ s [Stat Wind] setting is [Auto]. Current V -Window settings are used f or graph drawing when the [Stat Wind] setting is [Manual]. 6-7-13 Distribution[...]

  • Page 360

    20070201 u F Distribution Probability F distribution probability calculates the probability of F distr ibution data f alling between two specifi c values . a : lower boundary b : upper boundar y P erform the following k ey oper ations from the statistical data list. 5 (DIST) 4 (F) 2 (Fcd) Data is specifi ed using parameter specifi cation. The f [...]

  • Page 361

    20070201 Calculation Result Output Example p .................................. F distr ibution probability 6-7-15 Distribution[...]

  • Page 362

    20070201 k Binomial Distribution u Binomial Probability Binomial probability calculates a probability at a specifi ed v alue f or the discrete binomial distribution with the specifi ed n umber of trials and probability of success on each tr ial. p : success probability (0 < p < 1) n : number of tr ials P erform the following k ey oper ation[...]

  • Page 363

    20070201 Calculation Result Output Example p .................................. binomial probability u Binomial Cumulative Density Binomial cumulativ e density calculates a cumulativ e probability at a specifi ed v alue for the discrete binomial distribution with the specifi ed n umber of trials and probability of success on each trial. P erform [...]

  • Page 364

    20070201 After setting all the parameters, use c to move the highlighting to “Ex ecute” and then press the function ke y shown belo w to perform the calculation. • 1 (CALC) ... P erforms the calculation. Calculation Result Output Example p .................................. probability of success 6-7-18 Distribution[...]

  • Page 365

    20070201 k P oisson Distribution u Poisson Pr obability P oisson probability calculates a probability at a specifi ed v alue for the discrete P oisson distribution with the specifi ed mean. ( x = 0, 1, 2, ···) μ : mean ( μ > 0) P erform the following k ey oper ations from the statistical data list. 5 (DIST) 6 ( g ) 1 (POISN) 1 (Ppd) The f[...]

  • Page 366

    20070201 u Poisson Cum ulative Density P oisson cumulative density calculates a cumulativ e probability at specifi ed v alue f or the discrete P oisson distr ibution with the specifi ed mean. P erform the following k ey oper ations from the statistical data list. 5 (DIST) 6 ( g ) 1 (POISN) 2 (Pcd) The follo wing shows the meaning of each item whe[...]

  • Page 367

    20070201 6-7-21 Distribution # There is no g raphing f or geometric distribution. # P ositive integer number is calculated whether list data (Data:List) or x value (Data:v ar iable) is specifi ed. k Geometric Distribution u Geometric Probability Geometric probability calculates the probability at a specifi ed value , and the number of the trial o[...]

  • Page 368

    20070201 u Geometric Cumulative Density Geometric cumulative density calculates a cumulativ e probability at specifi ed value , the number of the trial on which the fi rst success occurs, f or the discrete geometr ic distribution with the specifi ed probability of success . P erform the following k ey oper ations from the statistical data list. [...]

  • Page 369

    20070201 Financial Calculation (TVM) The TVM mode provides y ou with the tools to perf orm the f ollowing types of fi nancial calculations. • Simple interest • Compound interest • Cash Flow (In vestment appraisal) • Amor tization • Interest rate con v ersion (annual percentage rate and eff ective interest r ate) • Cost, selling price, [...]

  • Page 370

    20070201 7-1 Bef ore P erforming Financial Calculations F rom the Main Menu, enter the TVM mode and display the Financial screen lik e the one shown below . Financial 1 screen Financial 2 screen • { SMPL } … {simple interest} • { CMPD } … {compound interest} • { CASH } … {cash fl o w (inv estment appraisal)} • { AMT } … {amor tizat[...]

  • Page 371

    20070201 7-1-2 Before P erforming Financial Calculations k Graphing in the TVM Mode After performing a fi nancial calculation, y ou can use 6 (GRPH) to graph the results as shown below . • Pressing 1 (T race) or !1 (TRCE) while a graph is on the displa y activates T race , which can be used to look up other fi nancial v alues. In the case of si[...]

  • Page 372

    20070201 7-2 Simple Interest This calculator uses the follo wing f ormulas to calculate simple interest. u Formula 365-day Mode SI : interest n : number of interest 360-day Mode periods PV : pr incipal I % : annual interest SFV : pr incipal plus interest Press 1 (SMPL) from the Financial 1 screen to display the f ollowing input screen f or simple i[...]

  • Page 373

    20070201 7-2-2 Simple Interest Use the follo wing function menus to maneuv er between calculation result screens. • { REPT } … {parameter input screen} • { GRPH } … {draws g raph} After drawing a g raph, y ou can press !1 (TRCE) to tur n on trace and read calculation results along the graph. Each press of e while trace is tur ned on cycles [...]

  • Page 374

    20070201 7-3-1 Compound Interest PV : present v alue FV : future v alue PMT : payment n : number of compound per iods I % : annual interest rate i is calculated using Newton’ s Method. S = 0 assumed for end of term S = 1 assumed for beginning of term F ( i ) = Formula I u Formula II ( I % = 0) Here: i (1 + i ) n (1 + i × S ) [ (1 + i ) n –1 ] [...]

  • Page 375

    20070201 • A deposit is indicated by a plus sign (+), while a withdra wal is indicated by a minus sign (–). u Con verting between the nominal interest rate and effective interest rate The nominal interest rate ( I % value input by user) is con verted to an effectiv e interest rate ( I % ' ) when the number of installments per year ( P/Y ) [...]

  • Page 376

    20070201 Press 2 (CMPD) from the Financial 1 screen to display the f ollowing input screen f or compound interest. 2 (CMPD) n .................................. number of compound periods I % ................................ annual interest rate PV ............................... present value (loan amount in case of loan; principal in case of savi[...]

  • Page 377

    20070201 7-3-4 Compound Interest After confi guring the parameters, use one of the function men us noted below to perf orm the corresponding calculation. • { n } … {number of compound periods} • { I% } … {annual interest rate} • { PV } … {present value} (Loan: loan amount; Savings: balance) • { PMT } … {payment} (Loan: installment;[...]

  • Page 378

    20070201 7-4 Cash Flow (In vestment Appraisal) This calculator uses the discounted cash fl o w (DCF) method to perform inv estment appraisal by totalling cash fl ow f or a fi x ed per iod. This calculator can perf or m the following f our types of inv estment appraisal. • Net present value ( NPV ) • Net future value ( NFV ) • Inter nal rat[...]

  • Page 379

    20070201 u PBP n : Smallest positive integer that satisfi es the conditions NPV n < 0, NPV n +1 > 0, or 0. • Press 3 (CASH) from the Financial 1 screen to display the f ollowing input screen for Cash Flow . 3 (CASH) I % ................................ interest rate (%) Csh .............................. list for cash fl ow If you ha ve n[...]

  • Page 380

    20070201 Use the follo wing function menus to maneuv er between calculation result screens. • { REPT } … {parameter input screen} • { GRPH } … {draws g raph} After drawing a g raph, y ou can press !1 (TRCE) to tur n on trace and read calculation results along the graph. Press J to retur n to the parameter input screen. 7-4-3 Cash Flow (In v[...]

  • Page 381

    20070201 7-5 Amor tization This calculator can be used to calculate the principal and interest por tion of a monthly installment, the remaining principal, and amount of principal and interest repaid up to any point. u Formula a : interest por tion of installment PM1 ( INT ) b : principal por tion of installment PM1 ( PRN ) c : balance of principal [...]

  • Page 382

    20070201 BAL 0 = PV ( INT 1 = 0 and PRN 1 = PMT at beginning of installment ter m) u Con verting between the nominal interest rate and effective interest rate The nominal interest rate ( I % value input by user) is con verted to an effectiv e interest rate ( I % ' ) for installment loans where the n umber of installments per year is diff erent[...]

  • Page 383

    20070201 7-5-3 Amor tization After confi guring the parameters, use one of the function men us noted below to perf orm the corresponding calculation. • { BA L } … {balance of pr incipal after installment PM2} • { INT } … {interest por tion of installment PM1} • { PRN } … {principal por tion of installment PM1} • { Σ INT } … {total[...]

  • Page 384

    20070201 7-6 Interest Rate Con version The procedures in this section describe how to conv er t between the annual percentage rate and effectiv e interest rate. u Formula APR : annual percentage rate (%) EFF : effectiv e interest rate (%) n : number of compoundings Press 5 (CNVT) from the Financial 1 screen to display the f ollowing input screen f [...]

  • Page 385

    20070201 7-7 Cost, Selling Price, Margin Cost, selling price, or margin can be calculated by inputting the other two v alues. u Formula CST : cost SEL : selling price MRG : margin Press 1 (COST) from the Financial 2 screen to display the f ollowing input screen. 6 ( g ) 1 (COST) Cst ................................ cost Sel ........................[...]

  • Page 386

    20070201 7-8 Da y/Date Calculations Y ou can calculate the number of days betw een two dates, or y ou can determine what date comes a specifi c number of da ys before or after another date. Press 2 (DA YS) from the Financial 2 screen to display the f ollowing input screen f or da y/ date calculation. 6 ( g ) 2 (DA YS) d1 ..........................[...]

  • Page 387

    20070201 Input the month, day , and year , pressing w after each. After confi guring the parameters, use one of the function men us noted below to perf orm the corresponding calculation. • { PRD } … {number of da ys from d1 to d2 (d2 – d1)} • { d1+D } … {d1 plus a number of da ys (d1 + D)} • { d1–D } … {d1 minus a number of da ys ([...]

  • Page 388

    20070201 Pr ogramming 8-1 Basic Programming Steps 8-2 PRGM Mode Function Ke ys 8-3 Editing Program Contents 8-4 File Management 8-5 Command Reference 8-6 Using Calculator Functions in Programs 8-7 PRGM Mode Command List 8-8 Program Library This unit comes with approximately 64 Kb ytes of memor y . • Y ou can check how much memory has been used an[...]

  • Page 389

    20070201 8-1 Basic Programming Steps Description Commands and calculations are ex ecuted sequentially , just like manual calculation multistatements. Set Up 1. From the Main Menu, enter the PRGM mode. When y ou do , a program list appears on the display . Selected program area (use f and c to mov e) Files are listed in the alphabetic sequence of th[...]

  • Page 390

    20070201 Example 1 T o calculate the surface area (cm 2 ) and volume (cm 3 ) of three regular octahedrons when the length of one side is 7, 10, and 15 cm, respectively Store the calculation formula under the fi le name OCT A. The follo wing are the f ormulas used for calculating surf ace area S and volume V of a regular octahedron for which the le[...]

  • Page 391

    20070201 8-2 PRGM Mode Function Ke ys • { NEW } ... {new program} u When you are registering a fi le name • { RU N } / { BASE } ... {general calculation}/{number base} program input • { Q } ... {pass word registration} • { SYBL } ... {symbol menu} u When you are inputting a pr ogram —— 1 (RUN) … def ault • { TO P } / { BTM } ... {t[...]

  • Page 392

    20070201 u When you are inputting a program —— 2 (B ASE) * 1 • { TO P } / { BTM } / { SRC } • { MENU } • { d~o } ... {decimal}/{hexadecimal}/{binary}/{octal} value input • { LOG } ... {logical operators} • { DISP } ... conversion of displa yed value to {decimal}/{he xadecimal}/{binar y}/{octal} • { A ↔ a } / { CHAR } • Pressing [...]

  • Page 393

    20070201 8-3-1 Editing Program Contents 8-3 Editing Program Contents k Debugging a Pr ogram A problem in a progr am that keeps the progr am from running correctly is called a “ bug, ” and the process of eliminating such problems is called “ debugging. ” Either of the follo wing symptoms indicates that your progr am contains bugs that requir[...]

  • Page 394

    20070201 k Using an Existing Program to Create a New Pr ogram Sometimes you can input a ne w program b y using a program already in memory as a base. Simply recall the existing prog ram, make the changes y ou need, and then execute it. Example 2 T o use the OCT A program (page 8-1-2) to create a program that calculates the surface area (cm 2 ) and [...]

  • Page 395

    20070201 8-3-3 Editing Program Contents Now edit OCT A to produce the TETRA program. 1. Edit the program name. 6 ( g ) 2 (REN) A TETRA w 2. Edit the program contents. 2 (EDIT) eeeeee DD c D bc J 3. T r y r unning the program. 1 (EXE) or w h w (V alue of A) w w w ba w w w w bf w w[...]

  • Page 396

    20070201 8-3-4 Editing Program Contents k Searching f or Data Inside a Program Example T o search f or the letter “A” inside the program named OCT A 1. Recall the program. 2. Press 3 (SRC) and input the data you want to fi nd. 3 (SRC) av (A) 3. Press w to begin the search. The contents of the program appear on the screen with the cursor locate[...]

  • Page 397

    20070201 8-4-1 File Management 8-4 File Management k Searching f or a File u To fi nd a fi le using initial character search Example T o use initial character searc h to recall the program named OCT A 1. While the program list is on the display , press 6 ( g ) 1 (SRC) and input the initial characters of the fi le y ou want to fi nd. 6 ( g ) 1 ([...]

  • Page 398

    20070201 8-4-2 File Management k Editing a fi le name Example T o change the name of a fi le from TRIANGLE to ANGLE 1. While the program list is on the display , use f and c to move the highlighting to the fi le whose name y ou want to edit and then press 6 ( g ) 2 (REN). 2. Make any changes you w ant. DDD 3. Press w to register the new name and[...]

  • Page 399

    20070201 8-4-3 File Management u T o delete all programs 1. While the program list is on the display , press 5 (DEL • A). 2. Press 1 (Y es) to delete all the programs in the list or 6 (No) to abor t the operation without deleting anything. • Y ou also can delete all programs by entering the MEMOR Y mode from the Main Menu, and then pressing 1 ([...]

  • Page 400

    20070201 8-4-4 File Management 3. Press w to register the fi le name and passw ord. Now you can input the contents of the program fi le. 4. After inputting the program, press !J (QUIT) to exit the progr am fi le and return to the program list. Files that are password protected are indicated by an asterisk to the right of the fi le name. k Recal[...]

  • Page 401

    20070201 8-5-1 Command Reference 8-5 Command Reference k Command Index Break ............................................................................................................... 8-5-6 ClrGraph ....................................................................................................... 8-5-12 ClrList ...........................[...]

  • Page 402

    20070201 8-5-2 Command Reference The follo wing are conv entions that are used in this section when descr ibing the various commands. Boldface T ext ................ Actual commands and other items that alwa ys must be input are shown in boldf ace. {Curly Brack ets} ............ Curly brackets are used to enclose a n umber of items, one of which mu[...]

  • Page 403

    20070201 8-5-3 Command Reference ^ ( Output Command) Function: Displays an intermediate result during program e x ecution. Description: • This command momentarily interr upts program e xecution and displa ys alpha character text or the result of the calculation immediately before the command. • The output command should be used at locations whe[...]

  • Page 404

    20070201 k Program Commands (COM) If~Then~(Else~)IfEnd Function: The Then-statement is e xecuted only when the If-condition is true (non-zero). The Else-statement is e xecuted when the If-condition is f alse (0). The IfEnd- statement is alwa ys e xecuted f ollowing either the Then-statement or Else-statement. Syntax: If <condition> _ : ^ Then[...]

  • Page 405

    20070201 8-5-5 Command Reference Description: • The default step v alue is 1. • Making the star ting value less than the ending value and specifying a positiv e step value causes the control variable to be incremented with each e xecution. Making the star ting value g reater than the ending value and specifying a negativ e step value causes the[...]

  • Page 406

    20070201 8-5-6 Command Reference While~WhileEnd Function: This command repeats specifi c commands as long as its condition is true (non- zero). Syntax: While < condition > _ : ^ <statement> _ : ^ WhileEnd numeric expression Parameters: expression Description: • This command repeats the commands contained in the loop as long as its co[...]

  • Page 407

    20070201 8-5-7 Command Reference Prog Function: This command specifi es e xecution of another program as a subroutine. In the RU N • MA T mode, this command ex ecutes a new program. Syntax: Prog ”fi le name” Example: Prog ”ABC” Description: • Even when this command is located inside of a loop , its e xecution immediately breaks the lo[...]

  • Page 408

    20070201 8-5-8 Command Reference Return Function: This command retur ns from a subroutine. Syntax: Return Description: Execution of the Return command inside a main routine causes e xecution of the prog ram to stop . Execution of the Return command within a subroutine ter minates the subroutine and returns to the program from which the subroutine w[...]

  • Page 409

    20070201 8-5-9 Command Reference k Jump Commands (JUMP) Dsz Function: This command is a count jump that decrements the value of a control v ariable by 1, and then jumps if the current value of the v ar iable is zero . Syntax: V ariable V alue ≠ 0 Dsz <variable name> : <statement> _ : ^ <statement> V ariable V alue = 0 Parameters[...]

  • Page 410

    20070201 8-5-10 Command Reference Goto~Lbl Function: This command performs an unconditional jump to a specifi ed location. Syntax: Goto <label name> ~ Lbl <label name> Parameters: label name: v alue (0 to 9), variable (A to Z, r , θ ) Description: • This command consists of two par ts: Goto n (where n is a parameter as described abo[...]

  • Page 411

    20070201 Isz Function: This command is a count jump that increments the value of a control variable b y 1, and then jumps if the current value of the v ar iable is zero . Syntax: V ariable V alue ≠ 0 Isz <variable name> : <statement> _ : ^ <statement> V ariable V alue = 0 Parameters: variable name: A to Z, r , θ [Example] Isz A[...]

  • Page 412

    20070201 8-5-12 Command Reference k Clear Commands (CLR) ClrGraph Function: This command clears the graph screen and retur ns View Windo w settings to their INIT values . Syntax: ClrGraph Description: This command clears the graph screen during program ex ecution. ClrList Function: This command deletes list data. Syntax: ClrList <list name> C[...]

  • Page 413

    20070201 8-5-13 Command Reference k Display Commands (DISP) DispF-Tbl, DispR-Tbl No parameters Function: These commands display numeric tables. Description: • These commands generate numeric tables during program e x ecution in accordance with conditions defi ned within the progr am. • DispF-Tbl generates a function tab le, while DispR-Tbl gen[...]

  • Page 414

    20070201 8-5-14 Command Reference DrawR Σ -Con, DrawR Σ -Plt No parameters Function: These commands use values in a generated table to g raph a recursion e xpression with Σ a n ( Σ b n or Σ c n ) as the vertical axis and n as the horizontal axis. Description: • These commands graph recursion e xpressions in accordance with current conditions[...]

  • Page 415

    20070201 8-5-15 Command Reference k Input/Output Commands (I/O) Getkey Function: This command retur ns the code that corresponds to the last key pressed. Syntax: Getke y Description: • This command retur ns the code that corresponds to the last key pressed. Key Code 1 79 2 69 3 59 4 49 5 39 6 29 ! 78 K 68 J 58 m 48 a 77 x 67 M 57 J 47 f 28 c 37 d[...]

  • Page 416

    20070201 8-5-16 Command Reference Locate Function: This command displays alpha-numeric characters at a specifi c location on the te xt screen. Syntax: Locate <column number>, <line number>, <v alue> Locate <column number>, <line number>, <numeric e xpression> Locate <column number>, <line number>, ?[...]

  • Page 417

    20070201 8-5-17 Command Reference Receive ( / Send ( Function: This command receives data from and sends data to a connected device . Syntax: Receive (<data>) / Send (<data>) Description: • This command receives data from and sends data to a connected de vice. • The following types of data can be receiv ed (sent) by this command. ?[...]

  • Page 418

    20070201 8-5-18 Command Reference k Conditional Jump Relational Operator s (REL) =, ≠ , >, <, ≥ , ≤ Function: These relational operators are used in combination with the conditional jump command. Syntax: <left side> <relational operator> <right side> Parameters: left side/right side: variable (A to Z, r , θ ), numeric[...]

  • Page 419

    20070201 8-6 Using Calculator Functions in Programs k T ext Display Y ou can include text in a progr am by simply enclosing it betw een double quotation marks. Such text appears on the displa y dur ing program e xecution, which means you can add labels to input prompts and results. Program Display ”CASIO” CASIO ? → X ? ”X =” ? → X X = ?[...]

  • Page 420

    20070201 u T o calculate a scalar multiplication ( ` Row) Example 2 T o calculate the product of Ro w 2 of the matrix in Example 1 and the scalar 4 The follo wing is the syntax to use f or this program. ` Row 4 , A , 2 _ Row Matrix name Multiplier Mat A Executing this prog ram produces the f ollowing result. u T o calculate a scalar multiplication [...]

  • Page 421

    20070201 u T o add two ro ws (Row+) Example 4 T o add Row 2 to Ro w 3 of the matrix in Example 1 The follo wing is the syntax to use f or this program. Row+ A , 2 , 3 _ the row number to be added to the row number to be added Matrix name Mat A Executing this prog ram produces the f ollowing result. k Using Graph Functions in a Program Y ou can inco[...]

  • Page 422

    20070201 8-6-4 Using Calculator Functions in Programs u Syntax of other graphing functions • V -Window View Window <Xmin>, <Xmax>, <Xscale>, <Ymin>, <Ymax>, <Yscale>, <T θ min>, <T θ max>, <T θ pitch> StoV -Win <area of V -Win> .............. area: 1 to 6 RclV -Win <area of V -Win&[...]

  • Page 423

    20070201 k Using Dynamic Graph Functions in a Program Using Dynamic Graph functions in a program mak es it possible to perform repeated Dynamic Graph operations . The f ollowing shows how to specify the Dynamic Gr aph range inside a program. • Dynamic Graph range 1 → D Star t _ 5 → D End _ 1 → D pitch _ Example Program ClrGraph _ View Windo[...]

  • Page 424

    20070201 k Using T able & Graph Functions in a Program T able & Graph functions in a program can generate n umeric tables and perf orm graphing operations. The f ollowing shows various types of syntax y ou need to use when programming with T able & Graph functions. • T able range setting 1 → F Star t _ 5 → F End _ 1 → F pitch _ [...]

  • Page 425

    20070201 k Using Recursion T able & Graph Functions in a Program Incorporating Recursion T able & Graph functions in a prog ram lets you gener ate numeric tables and perf or m graphing operations. The f ollowing shows various types of syntax y ou need to use when programming with Recursion T able & Graph functions . • Recursion formul[...]

  • Page 426

    20070201 8-6-8 Using Calculator Functions in Programs 1 46232J 2 42 3 3 4 J 6221 5 2 6 3 7 6661 8 ! J 6251 9 ! J 6252JJJ 0 46243 Executing this prog ram produces the results shown here . Numeric T able Recursion graph k Using List Sort Functions in a Program These functions let you sort data in lists into ascending or descending order. • Ascendin[...]

  • Page 427

    20070201 k Using Solve Calculation Function in a Program The follo wing is the syntax f or using the Solve function in a prog ram. Solve( f ( x ), n , a , b ) Upper limit Lower limit Initial estimated value Example Program 1 Solve( 2X 2 + 7X – 9, 1, 0, 1) 1 K 41 • In the function f ( x ), only X can be used as a variable in the e xpression. Oth[...]

  • Page 428

    20070201 The graph conditions that are required depends on the gr aph type. See “Changing Gr aph P arameters” (page 6-1-2). • The following is a typical g raph condition specifi cation f or a scatter diagram or xy Line graph. S-Gph1 DrawOn, Scatter , List 1, List 2, 1, Square _ In the case of an xy line graph, replace “Scatter” in the ab[...]

  • Page 429

    20070201 8-6-11 Using Calculator Functions in Programs 1 !m6631 2 4121J 3 11J 4 24J 5 J4141 6 ! J 621 Executing this prog ram produces the scatter diagram sho wn here. k P erforming Statistical Calculations • Single-variable statistical calculation 1 1-V ar iable List1 , List 2 F requency data (F requency) x -axis data (XList) 1 4161 • The foll[...]

  • Page 430

    20070201 • P aired-variab le statistical calculation 1 2-V ar iable List 1 , List 2 , List 3 F requency data (F requency) y -axis data (YList) x -axis data (XList) 1 4162 • Regression statistical calculation 1 LinearReg List 1 , List 2 , List 3 Calculation type* 8-6-12 Using Calculator Functions in Programs F requency data (F requency) y -axis [...]

  • Page 431

    20070201 8-7-1 PRGM Mode Command List 8-7 PRGM Mode Command List Level 2 List L → M Dim Fill Seq Min Max Mean Med Aug Sum Prod Cuml % A Mat M → L Det Trn Aug Iden Dim Fill i Abs Arg Conj ReP ImP ' r ∠ ' a+bi Solve d/dx d 2 /dx 2 dx FMin FMax Σ ( logab ˆ x ˆ y sinh cosh tanh sinh -1 cosh -1 tanh -1 X! nPr nCr Ran# P( Q( R( t( Abs [...]

  • Page 432

    20070201 8-7-2 PRGM Mode Command List Level 1 V-WIN FACT STAT GRPH DYNA TABL RECR EQUA TVM Level 2 X Y T, R-X R-Y R-T, Xfct Yfct X Y GRPH PTS Y r Xt Yt X Strt End Pitch Strt End Pitch Reslt FORM RANG Reslt S-Rlt S-Cof P-Rlt P-Cof n I% PV PMT FV P/Y C/Y Level 3 min max scal dot min max scal min max ptch min max scal dot min max scal min max ptch n x[...]

  • Page 433

    20070201 8-7-3 PRGM Mode Command List Level 1 d~o LOG DISP Level 2 d h b o Neg Not and or xor xnor ' Dec ' Hex ' Bin ' Oct Level 3 C o m m a n d d h b o Neg_ Not_ and or xor xnor ' Dec ' Hex ' Bin ' Oct Level 1 Dec Hex Bin Oct Level 2 Level 3 Command Dec Hex Bin Oct [SHIFT][MENU](SET UP) key BASE Program [ F4[...]

  • Page 434

    20070201 8-8-1 Program Library 8-8 Program Library • Be sure to check how man y bytes of un used memor y are remaining before attempting to perform any progr amming. Program Name Prime Factorization Description This program continually divides a natur al number by f actors until all its pr ime factors are produced. Purpose This program accepts in[...]

  • Page 435

    20070201 8-8-2 Program Library egc w w ww w[...]

  • Page 436

    20070201 8-8-3 Program Library Program Name Arithmetic-Geometric Sequence Diff erentiation Description After inputting sequence terms 1, 2, and 3, this program determines whether it is an arithmetic sequence or geometric sequence based on the differences and ratios of the terms. Purpose This program determines whether a specifi c sequence is an ar[...]

  • Page 437

    20070201 8-8-4 Program Library Example 1 Example 2 f w f w ba w ba w bf ca ww[...]

  • Page 438

    20070201 8-8-5 Program Library Program Name Ellipse Description This program displa ys a number table of the follo wing v alues based on input of the foci of an ellipse, the sum of the distance between the loci and f oci, and the pitch (step size) of X. Y1: Coordinate values of upper half of ellipse Y2: Coordinate values of lower half of ellipse Y3[...]

  • Page 439

    20070201 8-8-6 Program Library d w ba w b w w[...]

  • Page 440

    20070201 8-8-7 Program Library Program Name Rotation Description This program dra ws an angle at the coordinate defi ned b y an input ver tex, and then rotates it to a specifi ed angle around the v er tex. Purpose This program demonstrates coordinate tr ansf ormation using a matr ix. Important! Deg must be set as the angle unit f or this program.[...]

  • Page 441

    20070201 8-8-8 Program Library d w fcde ... fcde ... w w fcde ... da w w fcde ... w[...]

  • Page 442

    20070201 8-8-9 Program Library Program Name Interior Angles and Surface Area of a T riangle Description This program calculates the interior angles and surf ace area of a triangle defi ned by input coordinates for angles A, B , and C. Purpose This program calculates the interior angles and surf ace area of a triangle defi ned by coordinates for a[...]

  • Page 443

    20070201 8-8-10 Program Library b a w a w b w a w a w!x ( ' ) d w[...]

  • Page 444

    20070201 9 Spreadsheet The Spreadsheet application provides y ou with pow erful, take- along-anywhere spreadsheet capabilities . 9-1 Spreadsheet Overview 9-2 File Operations and Re-calculation 9-3 Basic Spreadsheet Screen Operations 9-4 Inputting and Editing Cell Data 9-5 S • SHT Mode Commands 9-6 Statistical Graphs 9-7 Using the CALC Function 9-[...]

  • Page 445

    20070201 9-1 Spreadsheet Over view This section describes the Spreadsheet application screen, and provides basic information about its menus and commands. k Using the S • SHT Mode On the Main Menu, select the S • SHT icon. • This will enter the S • SHT mode and display a spreadsheet. • The fi rst time you enter the S • SHT mode, the ca[...]

  • Page 446

    20070201 k S • SHT Mode Function Menu • { FILE } … {displays the FILE submenu} • { NEW } … {creates a new spreadsheet fi le} • { OPEN } … {displays a list of pre viously saved spreadsheet fi les} Y ou can select a fi le on this list and open it or delete it. • { SV • A S } … {saves the displa yed spreadsheet under a new name [...]

  • Page 447

    20070201 • { SEQ } … {generates a numeric sequence the same wa y as the “Seq(” command (page 3-2-3)} The sequence star ts from a specifi ed cell, and can be confi gured to proceed in a line-wise or column-wise direction. The direction is the one specifi ed by the “Mo v e” setting on the Setup screen (page 1-8-5). • { FILL } … {di[...]

  • Page 448

    20070201 • { ST O } … {displays the ST O submenu} • { VA R } … {assigns the contents of a cell to a variable} • { LIST } … {sav es the contents of a range of cells as a list} • { FILE } … {sav es the contents of a range of cells as a fi le} • { MA T } … {saves the contents of a r ange of cells as a matrix} • { RCL } … {disp[...]

  • Page 449

    20070201 9-2-1 File Operations and Re-calculation 9-2 File Operations and Re-calculation This section explains the v ar ious operations you can perf or m with S • SHT mode fi les. It also tells you ho w to re-calculate the formulas in a spreadsheet. k Spreadsheet File Operations u T o create a new fi le 1. In the S • SHT mode, press 1 (FILE) [...]

  • Page 450

    20070201 9-2-2 File Operations and Re-calculation u T o open a fi le 1. In the S • SHT mode, press 1 (FILE) 2 (OPEN). • This will display a list of e xisting spreadsheet fi les. 2. Use f and c to highlight the name of the fi le you w ant to open. 3. Press w . • This will open the spreadsheet you selected in step 2. u T o delete a fi le 1.[...]

  • Page 451

    20070201 9-2-3 File Operations and Re-calculation u T o save a fi le under a new name (Save As) 1. In the S • SHT mode, press 1 (FILE) 3 (SV • AS). • This will display a dialog bo x f or entering a fi le name. 2. Enter up to eight characters for the fi le name , and then press w . k About A uto Save The S • SHT mode has an Auto Sav e f e[...]

  • Page 452

    20070201 9-3-1 Basic Spreadsheet Screen Operations 9-3 Basic Spreadsheet Screen Operations This section explains basic procedures f or selecting cells and moving the cell cursor on a spreadsheet. k Cell Cursor The cell cursor is the highlighting showing the cell or cells that are currently selected on a spreadsheet. • While a single cell is selec[...]

  • Page 453

    20070201 u T o move the cell cursor using the JUMP command T o move the cell cursor to here: Do this: A par ticular cell 1. Press 2 (EDIT) 4 (JUMP) 1 (GO). 2. On the “Go T o Cell” dialog box that appears , enter the name of the destination cell (A1 to Z999). 3. Press w . Line 1 of current column Press 2 (EDIT) 4 (JUMP) 2 (T OP ↑ ). Column A o[...]

  • Page 454

    20070201 u T o select an entire line While the cell cursor is located in any cell of Column A, press the d ke y . This will select the entire line where the cell cursor is located. If the cell cursor is located at cell A1, for e xample, pressing d will select all of line 1 (A1 to Z1). The edit box will sho w “A1:Z1”. u T o select an entire colu[...]

  • Page 455

    20070201 u T o select a rang e of cells 1. Move the cell cursor to the start cell of the range you w ant to select. 2. Press ! i (CLIP). • This will cause the cell cursor to change from highlighting to a thick-line boundary . • As you mov e the cell cursor , the edit box will show the range of cells that are currently selected. 3. Use the curso[...]

  • Page 456

    20070201 9-4 Inputting and Editing Cell Data This section explains ho w to input and edit f ormulas, text, and other spreadsheet cell data. It cov ers how to cop y , inser t, and delete cells. Note that the S • SHT mode does not suppor t complex n umber data. k Basic Cell Data Input Y ou need to enter the edit mode in order to input data into a c[...]

  • Page 457

    20070201 u T o replace a cell’ s current contents with new input 1. Move the cell cursor to the cell where you w ant to input data. 2. Input the desired data. Use the calculator’ s keys to input v alues, math e xpressions, or te xt, and the function menus to input commands. • The calculator enters the edit mode as soon as you star t input, so[...]

  • Page 458

    20070201 2. Press 2 (EDIT) 3 (CELL). • This will enter the edit mode, which is indicated by the cell contents in the edit box changing to fl ush left. The input cursor also will appear to the left of the fi rst character of the edit bo x. 3. Edit the data in the edit box. 4. After everything is the wa y you w ant, press w . • If “A uto Calc[...]

  • Page 459

    20070201 u Formula Input Example In this example , we will input the 60 into cell A1, and then input the f ollowing f or mulas into the indicated cells: B1: =sin(A1), B2: =cos(A1), B3: =tan(A1), B4: =B1/B2 We will also sho w that the v alues produced by B3 and B4 are the same e v en if we change the value of A1, so sin ( x ) ÷ cos ( x ) = tan ( x [...]

  • Page 460

    20070201 9-4-5 Inputting and Editing Cell Data k Using Cell References A cell reference is a symbol that ref erences the value of one cell f or use by another cell. If you input “=A1+B1” into cell C2, f or e xample, the Spreadsheet will add the current v alue of cell A1 to the current value of cell B1, and displa y the result in cell C2. There [...]

  • Page 461

    20070201 9-4-6 Inputting and Editing Cell Data k Referencing a P articular Cell The follo wing procedure shows ho w to reference A1 (which contains the v alue 3) and perform the calculation A1 × 2. u T o reference a par ticular cell 1. Move the cell cursor to cell A2, and then input ! . (=). 2. Press 1 (GRAB). • This enters the Grab mode, which [...]

  • Page 462

    20070201 9-4-7 Inputting and Editing Cell Data 5. Next, input *c . 6. Press w to store the formula. Result of A1 × 2 k Referencing a Range of Cells Y ou can reference a range of cells to obtain their sum, mean, etc. The follo wing procedure input a f ormula to deter mine the sum of cells A6 through B7, and inputs the result in cell A4. This proced[...]

  • Page 463

    20070201 9-4-8 Inputting and Editing Cell Data 5. Press ! i (CLIP). • This will cause the cell cursor to change from highlighting to a thick-line boundary . 6. Use the cursor keys to mov e the cell cursor to the last cell of the range you w ant to select (B7 in this example). • Y ou can use the function menu keys 2 through 6 for cell cursor mo [...]

  • Page 464

    20070201 9-4-9 Inputting and Editing Cell Data k Inputting the Absolute Reference Symbol ($) Y ou can input the absolute reference symbol at the current cursor position b y pressing the 2 ($) key of the edit mode function men u. See “Absolute Cell Ref erences” (page 9-4-5) for more information. u T o input the absolute reference symbol Example [...]

  • Page 465

    20070201 9-4-10 Inputting and Editing Cell Data k Inputting a Constant An expression or v alue that you input without an equal (=) in front of it is called a “constant”, because the value is not aff ected by anything outside of the cell where it is located. If you input a math e xpression as a constant, the cell shows its result. A “Syntax ER[...]

  • Page 466

    20070201 9-4-11 Inputting and Editing Cell Data k Inputting T ext A text string starting with a quote mar k (") is treated as text, and displa yed as-is. The quote mark (") is not display ed as par t of the text. Up to six characters can be display ed by the cell. If the text cannot fi t into a single cell, it extends into the ne xt cell[...]

  • Page 467

    20070201 9-4-12 Inputting and Editing Cell Data 3. Enter the required items to generate the sequence. • The follo wing describes the required input items. Item Description Expr Function f ( x ) for generating the sequence V ar Name of the variable in the function f ( x ) Even if a function has only one v ar iable, its name m ust be defi ned here[...]

  • Page 468

    20070201 k Filling a Range of Cells with the Same Content Y ou can use the follo wing procedure to fi ll a range of cells with the same f or mula, expression, value , or te xt. u To fi ll a rang e of cells with the same content Example T o use the “FILL ” command to fi ll cells A2 through B3 with the form ula = A1+1 The A1 cell name of the f[...]

  • Page 469

    20070201 4. Press w . 5. Press 6 (EXE) or the w key . • This ex ecutes the “FILL ” command and fi lls the specifi ed content into the specifi ed range of cells. The A1 cell ref erence is a relative ref erence. The f ollowing shows the f ormulas that are actually input into each cell. A B 2 =A1+1 =B1+1 3 =A2+1 =B2+1 9-4-14 Inputting and Edi[...]

  • Page 470

    20070201 9-4-15 Inputting and Editing Cell Data k Cut and P aste Y ou can use the procedures in this section to cut the data in one location of a spreadsheet and paste in another location. Y ou can cut the contents of a single cell or a range of cells. u How cut and paste affects cell ref erences The cut and paste operation has special rules that g[...]

  • Page 471

    20070201 • When a cell within the cut area is referencing a cell that also is within the cut area In this case all cell references are treated as relativ e cell references, no matter what type they actually are (absolute or relativ e). Example Let’ s say we have a spreadsheet that contains the f ollowing data: A1: 4, B1: =A1+1, C1: = $B$1+2. Cu[...]

  • Page 472

    20070201 3. Use the cursor keys to mov e the cell cursor to the cell from which you want to paste the data. • If you selected a range of cells in step 1, the cell y ou select with the cell cursor will be the upper left cell of the paste range. If you cut the A1:B2 range of cells, locating the cell cursor at cell C1 will paste the cells at C1:D2. [...]

  • Page 473

    20070201 3. Use the cursor keys to mov e the cell cursor to the cell from which you want to paste the data. • If you selected a range of cells in step 1, the cell y ou select with the cell cursor will be the upper left cell of the paste range. If you copy the A1:B2 r ange of cells, locating the cell cursor at cell C1 will paste the cells at C1:D2[...]

  • Page 474

    20070201 k Sorting Spreadsheet Data Spreadsheet data can be sor ted column-wise or line-wise. Y ou can select either ascending sor t or descending sor t. Important! • Sor ting can be performed only when the selected range of cells contains all constants. u T o sor t spreadsheet data 1. Select the ser ies of cells in a single row or a single colum[...]

  • Page 475

    20070201 3. Use the DEL submenu to perform the operation you want. When you want to do this: Press this key: Delete the entire row(s) of the currently selected cell(s), and shift anything below upw ards. 1 (RO W) Delete the entire column(s) of the currently selected cell(s), and shift anything to the right leftwards. 2 (COL) • T o exit the DEL su[...]

  • Page 476

    20070201 u T o inser t lines or columns of blank cells 1. Select one or more cells to specify how many lines or columns you w ant to inser t. • Selection rules are the same as those for line and column deletion. See step 1 under “T o delete an entire line or column of cells” (page 9-4-19) f or more inf ormation. 2. Press 4 (INS) to display th[...]

  • Page 477

    20070201 9-5 S • SHT Mode Commands This section explains ho w to use the S • SHT mode commands. u T o input a S • SHT mode command 1. Select the cells where you want to input the f ormula that contains the S • SHT mode command. 2. Press 2 (EDIT) 3 (CELL) or ! . (=) to enter the edit mode. • 2 (EDIT) 3 (CELL) can be used if the selected ce[...]

  • Page 478

    20070201 k S • SHT Mode Command Reference This section provides details about the function and syntax of each command, as well as practical e xamples of how to use them. Note that you can omit an ything enclosed in brack ets ([ ]) in the Syntax of each command. u CellIf( Function: Returns expression 1 when the equation or inequality is true, and [...]

  • Page 479

    20070201 u CellMax( Function: Retur ns the greatest v alue contained in the range of specifi ed cells . Syntax: CellMax( star t cell : end cell [ ) ] Example: T o deter mine the greatest value in the b lock whose upper left cor ner is located at A3 and whose lower right corner is located at C5, and input the result in cell A1: u CellMean( Function[...]

  • Page 480

    20070201 u CellSum( Function: Retur ns the sum of the values contained in the r ange of specifi ed cells. Syntax: CellSum( star t cell : end cell [ ) ] Example: T o determine the sum of the values in the bloc k whose upper left corner is located at A3 and whose lower right corner is located at C5, and input the result in cell A1: u CellProd( Funct[...]

  • Page 481

    20070201 9-6-1 Statistical Graphs 9-6 Statistical Graphs This section explains ho w to graph the data in a spreadsheet. k Overview Except for selection of the data to be g raphed, the graph oper ations you can use in the S • SHT mode are basically the same as those in the S TAT mode. This section explains the differences betw een the S • SHT mo[...]

  • Page 482

    20070201 9-6-2 Statistical Graphs k Confi guring Graph P arameter Settings Pressing 6 (SET) on the GRPH submenu displays a g raph settings screen like the one shown below . In the ST A T mode, you can g raph data input with the List Editor . In the S • SHT mode, you can graph the data input into the spreadsheet cells . Because of this, the pur p[...]

  • Page 483

    20070201 9-6-3 Statistical Graphs k Graphing Statistical Data The follo wing shows an actual e xample of how to graph statistical data in the S • SHT mode. It also explains v ar ious methods you can use to specify the range of cells that contains the graph data. u T o graph statistical data Example: Input the following data into a spreadsheet, an[...]

  • Page 484

    20070201 9-6-4 Statistical Graphs 5. Confi gure the g raph setup settings. • For inf ormation about confi guring the Graph T ype and Mar k T ype settings, see “1. General graph settings” on page 6-1-2, “6-2 Calculating and Graphing Single-V ariable Statistical Data”, and “6-3 Calculating and Gr aphing P aired-V ariable Statistical Dat[...]

  • Page 485

    20070201 9-6-5 Statistical Graphs k Confi guring Range Settings for Graph Data Cells The XCellRange and YCellRange settings on the graph settings screen are confi gured automatically in accordance with the cells you select on the spreadsheet. Y ou can use the procedure below to change these settings manually , if you want. Note that the automatic[...]

  • Page 486

    20070201 9-6-6 Statistical Graphs k Confi guring the Frequency Setting The frequency is a value that specifi es how man y times each of the statistical data items is repeated. A value of 1 is the initial def ault for this setting. With this setting, each data item ( x ) or data pair ( x , y ) is represented as one point on the graph. In cases whe[...]

  • Page 487

    20070201 9-7-1 Using the CALC Function 9-7 Using the CALC Function This section explains ho w to use the CALC function to perf orm statistical calculations on spreadsheet data. k Overview Except for selection of the data, the statistical calculation oper ations you can use in the S • SHT mode are basically the same as those in the S TAT mode. Thi[...]

  • Page 488

    20070201 9-7-2 Using the CALC Function k Confi guring Statistical Calculation Data Settings T o execute a statistical calculation in the S • SHT mode, y ou need to input the data on the spreadsheet and defi ne the range of cells where the data is located as statistical calculation cells. T o defi ne statistical calculation cells, press 6 (SET)[...]

  • Page 489

    20070201 9-7-3 Using the CALC Function k Executing a Statistical Calculation The follo wing shows an actual e xample of how to perform a statistical calculation in the S • SHT mode. u T o execute a statistical calculation Example T o input the data shown below into a spreadsheet, and then to perform paired-variable statistical calculations and re[...]

  • Page 490

    20070201 9-7-4 Using the CALC Function 9. Press J2 (2V AR). • This will display the paired-variab le statistical calculation result list. Y ou can use the up and down cursor ke ys to scroll the result screen. • For inf ormation about the meaning of each of the values on the result screen, see “Displaying the Calculation Results of a Dr awn P [...]

  • Page 491

    20070201 9-8-1 Using Memory in the S • SHT Mode 9-8 Using Memor y in the S • SHT Mode This section explains ho w to sav e spreadsheet data to memor y , and how to import memor y data into a spreadsheet. k Saving Spreadsheet Data Y ou can assign spreadsheet data to a variable , or sav e it to List Memory , File Memor y , or Mat Memory . k Assign[...]

  • Page 492

    20070201 9-8-2 Using Memory in the S • SHT Mode k Saving Spreadsheet Data to List Memory Y ou can use the follo wing procedure to select a series of cells in a par ticular column or row and sav e their data to List Memory (List 1 through List 26). u T o save the contents of a range of cells to List Memory 1. Select the range of cells whose data y[...]

  • Page 493

    20070201 9-8-3 Using Memory in the S • SHT Mode u T o save the contents of a range of cells to File Memory 1. Select the range of cells whose data you want to sa ve in File Memory . 2. Press 6 ( g ) 3 (STO) 3 (FILE). • The “Cell Range” setting will show the range of cells you selected in step 1. 3. Press c to move the highlighting to “Fil[...]

  • Page 494

    20070201 k Recalling Data from Memory The procedures in this section explain ho w to recall data from List Memory , File Memory , and Mat Memory , and input it into a spreadsheet star ting from a specifi c cell. It also explains how to use variables in spreadsheet constants and f or mulas. Note When recalling List Memory , File Memor y , or Mat Me[...]

  • Page 495

    20070201 u T o recall data from a File Memory to a spreadsheet 1. On the spreadsheet, select the upper left cell of the range where you want the recalled data to be input. 2. Press 6 ( g ) 4 (RCL) 2 (FILE) to display a data recall screen lik e the one shown below . • The “1st Cell” setting will show the name of the cell you selected in step 1[...]

  • Page 496

    20070201 eActivity An eActivity is both a documentation tool and a student notebook. As a documentation tool, a teacher can create electronic e xamples and practice prob lems with accompanying te xt, mathematical e xpressions, gr aphs, and tab les. eActivities also provide the student the means to e xplore problems, document their learning and prob[...]

  • Page 497

    20070201 10-1 eActivity Over view eActivity lets you input and edit te xt, mathematical expressions, and application data, and sav e your input in a fi le called an “eActivity”. k Using the e • A CT Mode On the Main Menu, select the e • AC T icon. • This displays a fi le list screen lik e the ones shown below . When there are no fi les[...]

  • Page 498

    20070201 k W orkspace Screen Function Menu Opening an eActivity fi le displa ys a workspace screen that shows the current contents of the eActivity . The sample below shows the parts that make up the eActivity workspace. Note that not all of the eActivity can be display ed in a single screen. The heavy line in the example sho ws what is currently [...]

  • Page 499

    20070201 k T ext Line Function Menu • { FILE } … {displays the FILE submenu} • { SA VE } … {sav es the fi le y ou are editing, ov erwr iting the previous (unedited) v ersion} • { SV • AS } … {saves the fi le you are editing under a ne w name (Save As)} • { OPT } … {performs Storage Memory garbage collection} F or more inf ormati[...]

  • Page 500

    20070201 k Math Line and Stop Line Function Menu • { FILE } … Same as {FILE} under “T ext Line Function Men u” (page 10-1-3). • { STRP } … Same as {STRP} under “T ext Line Function Men u” (page 10-1-3). • { CALC } … {changes the current line from a math line to a text line} • { MA TH } … {displays a MA TH menu for natur al i[...]

  • Page 501

    20070201 10-1-5 eActivity Overview k Strip Function Menu • { FILE } … Same as {FILE} under “T ext Line Function Men u” (page 10-1-3) except f or {SIZE}. • { SIZE } … {displays the siz e of the strip that is currently selected or where the cursor is currently located} • { STRP } … Same as {STRP} under “T ext Line Function Men u” [...]

  • Page 502

    20070201 10-1-6 eActivity Overview 1. Fr om the main menu, enter the e • ACT mode. 2. Create a new eActivity fi le. 1. Press 2 (NEW). 2. On the dialog box that appears, enter up to eight characters f or the eActivity fi le name, and then press w . • This will display a b lank workspace screen with a text line cursor (f or text line input). T [...]

  • Page 503

    20070201 10-1-7 eActivity Overview 2. Specify the Solve calculation, and then enter the function. A K 4 (CALC) 1 (Solve) c vx + v -d, 3. Input the initial estimate value, the low er limit, and the upper limit. a,a,ba) 4. Press w to solve for x . • This will display the solution ( x = 1) and move the cursor to the beginning of the next line . 5. P[...]

  • Page 504

    20070201 10-1-8 eActivity Overview 6. Graph the expression using the Graph strip. 1. While the “Graph dra w” Graph strip you created in step 5 is selected, press w . • This will display a gr aph screen. 2. Press !6 (G ↔ T) to display the Gr aph Editor screen. 3. In line Y1, input the function ( y = 2 x 2 + x – 3) you want to g raph. 4. Pr[...]

  • Page 505

    20070201 10-2 W orking with eActivity Files This section explains the diff erent fi le operations you can perf or m from the eActivity fi le list screen. k eActivity File Operations u T o create a new fi le 1. If you want to create the fi le in a specifi c f older , use f and c to highlight the folder you w ant, and then press 1 (OPEN) or w . [...]

  • Page 506

    20070201 u T o open a fi le 1. If the fi le y ou want to open is in a folder , use f and c to highlight the folder , and then press 1 (OPEN) or w . 2. Use f and c to highlight the fi le you w ant to open, and then press 1 (OPEN) or w * 1 . • This will open the fi le. u T o delete a fi le 1. If the fi le y ou want to delete is in a folder , [...]

  • Page 507

    20070201 10-3 Inputting and Editing eActivity File Data The follo wing shows the type of eActivity fi le data you can input and edit. T ext lines Strip Math lines Stop line T ext line A text line can be used to input char acters, numbers , and e xpressions as non-ex ecutable text. Math lines Math lines let you perf or m calculations in an eActivit[...]

  • Page 508

    20070201 k Navigating ar ound the eActivity W orkspace Screen u T o scroll the eActivity workspace screen vertically The workspace screen can be scrolled line-by-line. • Pressing f while the cursor is in the top line of the workspace screen will scroll one line upwards. Pressing c while the cursor is in the bottom line will scroll one line downwa[...]

  • Page 509

    20070201 10-3-3 Inputting and Editing eActivity File Data u T o change the current line into a text line 1. On the eActivity wor kspace screen, check the menu of the 3 function key . • If the 3 ke y menu is “TEXT”, it means that the current line is already a te xt line. In this case, y ou can input text in the line without perf or ming step 2[...]

  • Page 510

    20070201 10-3-4 Inputting and Editing eActivity File Data u Inputting and Editing T ext Line Contents • Y ou can input up to 255 bytes of text into a te xt line. T ext in the te xt line wraps automatically to fi t inside the displa y area (W ord Wrap Function). Note, how ev er, that numeric expressions and commands do not wr ap .* 1 A word runni[...]

  • Page 511

    20070201 10-3-5 Inputting and Editing eActivity File Data u T o input a calculation formula into an eActivity 1. On the eActivity wor kspace screen, change the line where the cursor is currently located into a math line, or insert a new math line. • “T o change the current line into a math line” below • “T o inser t a math line” (page 1[...]

  • Page 512

    20070201 10-3-6 Inputting and Editing eActivity File Data u T o inser t a math line T o inser t a math line while the cursor is located here: Perf orm this key operation: In a math line 5 (INS) 2 (CALC) In a text line 6 ( g ) 3 (INS) 2 (CALC) In a str ip 3 (INS) 2 (CALC) The math line is inserted above the line or the strip where the cursor is curr[...]

  • Page 513

    20070201 10-3-7 Inputting and Editing eActivity File Data u Stop Line Example The follo wing screen shows ho w you can use stop lines to group calculation steps . A B A: Substituting a value ( π 6 here) for θ in the expression in line 1 e x ecutes (sin θ ) 2 + (cos θ ) 2 in line 3, and displays the result in line 4 (1). In this example, substit[...]

  • Page 514

    20070201 k Inserting a Strip A strip can be used to embed data from Graph, Conics Graph, Spreadsheet, and other applications into an eActivity . Note that only one application screen (either the Graph screen or Graph Editor screen in the case of GRAPH mode data, for e xample) can be used in each strip. A strip consists of a title fi eld on the lef[...]

  • Page 515

    20070201 u T o inser t a strip 1. Move the cursor to the location where you w ant to inser t the strip. 2. Press 2 (STRP). • This will display a dialog bo x with a list of inser table strips. 3. Use f and c to highlight the name of the strip for the type of data you w ant to embed. When you want to embed this type of data: Select this type of str[...]

  • Page 516

    20070201 When you want to embed this type of data: Select this type of strip: D YNA mode Dynamic Graph screen Dynamic Graph TVM mode Financial screen Financial S • SHT mode Spreadsheet screen SpreadSheet 4. Press w . • The strip is inser ted abov e the line or the strip where the cursor is currently located. 5. Press d or e to display the te xt[...]

  • Page 517

    20070201 10-3-11 Inputting and Editing eActivity File Data u T o change the title of a strip 1. Use f and c to highlight the strip whose title you w ant to change. 2. Input the new title. • Press d or e to display the te xt input cursor , and then edit the current title. • If you press a character k ey without pressing the d or e ke y fi rst, [...]

  • Page 518

    20070201 u T o call up an application from a strip 1. Use the f and c cursor keys to mov e the highlighting to the strip whose associated application you w ant to call up . 2. Press w . • The application screen will be blank the fi rst time you call it up after inserting a str ip . 3. Input data, graph, and perform any other operations y ou want[...]

  • Page 519

    20070201 u T o switch from an application screen called up fr om a strip to another application screen Press ! , ( , ). • On the application list that appears, use f and c to highlight the name of the screen to which you w ant to switch, and then press w . • Pressing ! , ( , ) while the screen that appears immediately after you enter a Graph st[...]

  • Page 520

    20070201 3. Press w to call up the graph screen. • Since you hav e not input any data yet, the graph screen that appears will be b lank. 4. Press !6 (G ↔ T) to display the Gr aph Editor screen. • This will display the current Graph strip’ s Graph relation list. Since this list is independent of the GRAPH mode Graph relation list, it will be[...]

  • Page 521

    20070201 u T able Editor Strip Example In this example , we use a T able Editor strip to input the function y = x 2 , and reference “List 1” of the List Editor for the x -variable range to gener ate a number table . Things to remember ... • Use the T able Editor to input the function y = x 2 . • Setup T able Editor (using the Setup screen) [...]

  • Page 522

    20070201 8. Call up the List Editor screen (page 6-1-1). • Press ! , ( , ) to display the application list, select List Editor , and then press w . 9. Input the values into List 1. 10. Retur n to the T able Editor screen. • Press ! , ( , ) to display the application list, select T able Editor , and then press w . 11. When the T able Editor scre[...]

  • Page 523

    20070201 u T o use copy and paste to draw a graph 1. Perf or m steps 1 through 7 under “T o create a Graph strip” (page 10-3-13) to create a Graph strip with the title “Gr aph dra w”. • After completing step 7, check to make sure the Graph strip is highlighted on the eActivity workspace screen. If it isn’t, use the f and c cursor ke ys [...]

  • Page 524

    20070201 k Using Notes Notes is a text editor that can be used only in eActivity . Y ou can call up the Notes screen from a Notes strip on the eActivity workspace screen. Y ou can perform the follo wing operations on a Notes screen. u Input and edit text T ext is input at the current cursor position on the Notes screen. Input, editing, cursor mov e[...]

  • Page 525

    20070201 k Deleting an eActivity Line or Strip Use the follo wing procedure to delete a line or strip from the eActivity workspace screen. Remember that deleting a math line deletes both the expression line and the result line . u T o delete a line or strip 1. Use the f and c cursor keys to mov e the highlighting to the strip you want to delete . 2[...]

  • Page 526

    20070201 k Saving an eActivity File After inputting or editing data on the eActivity workspace screen, you can sa ve it to a fi le under a new name (Sa ve As) or y ou can replace the pre viously sav ed v ersion of the fi le y ou are working on (Sav e). In the case of Save As , both the pre vious version and the ne w version of the fi le are sa v[...]

  • Page 527

    20070201 10-4 Using Matrix Editor and List Editor In addition to the strip operation for calling up application screens within eActivity (page 10-3-12), you can also use the eActivity function menu to call up Matrix Editor and List Editor . k Calling Up Matrix Editor Y ou can call up Matrix Editor to input a matr ix into a math line on the eActivit[...]

  • Page 528

    20070201 k Calling Up List Editor Y ou can call up List Editor to input a list into a math line on the eActivity workspace screen. Note The data you create b y calling up the List Editor using the procedure below can be used in the calculation line on the eActivity workspace screen only . It is diff erent from and independent of data you create b y[...]

  • Page 529

    20070201 10-5-1 eActivity File Memory Usage Screen 10-5 eActivity File Memory Usage Screen The size of an eActivity fi le is limited. Y ou can use the eActivity fi le memor y usage screen to check the current siz e and how much more memory is av ailable f or the eActivity fi le y ou are working on. Y ou can also display the size of the strip tha[...]

  • Page 530

    20070201 10-6 eActivity Guide eActivity Guide is a function that helps you na vigate through scientifi c function calculation operations. Y ou can perform calculator operations simply by f ollowing the instructions that appear on the display . • Using eActivity Guide to prepare lessons makes it possible f or students to become familiar with calc[...]

  • Page 531

    20070201 k Creating a Guide u T o enter the guide creation mode 1. On the eActivity workspace screen, select a strip and then press 6 ( g ) to display page two of the function menu. • In this example we will select a Gr aph Editor strip. 2. Press 5 (GUIDE). • This will enter the guide creation mode and display the oper ation pattern selection s[...]

  • Page 532

    20070201 u T o create an n-key operation 1. On the operation pattern selection screen, press 1 (nKEYS). • This will display the dialog bo x shown below . K ey indicator • 1 (OK) ... Star ts ke y input recording. • f ... Displays the ke y indicator in the upper right cor ner . • c ... Displays the ke y indicator in the lower right corner . 2[...]

  • Page 533

    20070201 4. After input is complete, press A . • This will display a comment bo x. 5. Input any comment text y ou want about the k ey operation sequence. 6. After inputting comment text, press w to register the n-ke y operation input. • This will retur n to the operation pattern selection screen. Y ou can now edit the guide by pressing 5 (PLA Y[...]

  • Page 534

    20070201 10-6-5 eActivity Guide u T o create a 1-key operation The follo wing operation assumes that y ou are continuing from the procedure under “T o create an n-ke y operation” (page 10-6-3). 1. On the operation patter n selection screen, press 2 (1-KEY). 2 . Press a key . • Here we will press w . • This will display a comment bo x. w (Ex[...]

  • Page 535

    20070201 10-6-6 eActivity Guide u T o create an A UT O operation The follo wing operation assumes that y ou are continuing from the procedure under “T o create a 1-ke y operation” (page 10-6-5). 1. On the operation patter n selection screen, press 3 (A UT O). • This will display the dialog bo x shown to the right. • 1 (OK) ... Star ts ke y [...]

  • Page 536

    20070201 10-6-7 eActivity Guide 5. After input is complete, press A . • This will display a comment bo x. 6. Input any comment text y ou want about the k ey operation sequence . 7. After inputting comment text, press w to register the A UTO operation input. • This will retur n to the operation pattern selection screen. Y ou can now edit the gui[...]

  • Page 537

    20070201 10-6-8 eActivity Guide u T o exit the guide creation mode 1 . While creating a guide, press 4 (END). • This will display the dialog bo x shown to the right. • 1 (Y es) ... T ur ns on the exit strip setting. When using the guide as a demo , the strip is exited and the eActivity w orkspace screen retur ns to the display after the guide i[...]

  • Page 538

    20070201 k Editing a Guide There are two methods that can be used to edit a guide. • Editing of the guide you are currently creating • Editing of the guide of an existing strip from the eActivity workspace screen k Editing the Guide Y ou Are Creating u T o display the key editing screen In this example , we sho w how to displa y the b ke y edit[...]

  • Page 539

    20070201 3. Input a value to specify the number of ke ys you w ant to jump and then press w . • Here we want to jump to the b k ey , so we will input h w . This number indicates the number of the current ke y operation from the beginning of the function. In the case of an A UT O operation, the letter “A” is appended to the beginning of this n[...]

  • Page 540

    20070201 k Editing Example In this example , we sho w how to edit the graph function (Y1 = −X 2 + 1) that is input at the end of the operation under “T o create an n-key operation” (page 10-6-3). u T o change −X 2 + 1 to −2X 2 + 1 (by inserting a c key before the v ke y) 1. This will display the v ke y editing screen. 2. Press 1 (INS). 3.[...]

  • Page 541

    20070201 u T o change −2X 2 + 1 to −2X 2 + 2 (by overwriting the b ke y with the c key) 1. This will display the b ke y editing screen. 2. Press 2 (O VW). 3. Press c . • This will overwrite the b k ey with the c key and display the guide creation screen from the next k ey ( w key). u T o edit an n-key operation comment 1. This will display th[...]

  • Page 542

    20070201 u T o change −2X 2 + 2 to 2X 2 + 2 (by deleting the - key) 1. This will display the - ke y editing screen. 2. Press 5 (DEL). 3. Press 1 (Y es). • This will delete the - key and displa y the guide creation screen from the next k ey ( c key). 10-6-13 eActivity Guide[...]

  • Page 543

    20070201 u T o exit a editing operation 1. Press 4 (END). 2. Press 1 (Y es) or 6 (No). • Exits the editing operation and returns to the eActivity wor kspace screen. u T o edit the guide of an existing strip from the eActivity w orkspace screen 1. On the eActivity wor kspace screen, select a strip that already has a guide and then press 6 ( g ) to[...]

  • Page 544

    20070201 u Running a Guide This example sho ws how to run the guide created under “Creating a Guide” (page 10-6-2). 1. On the eActivity wor kspace screen, select the Graph strip and then press w . • This will display the screen sho wn to the right. 2. Press the key indicated by the k ey indicator that appears in the upper or lower right corne[...]

  • Page 545

    20070201 4. If exit strip is tur ned on, press w . • This will display the dialog bo x shown to the right. • 1 (Y es) ... Exits the strip and retur ns to the eActivity workspace screen. • 6 (No) ... Retur ns to the screen in step 3. 10-6-16 eActivity Guide # Pressing a key that is diff erent from the one display ed in the upper or lower right[...]

  • Page 546

    20070201 k eActivity Guide Editing T echniques u T o edit a guide from the end On the editing screen, press 5 (PLA Y) 5 ( ). u T o insert SETUP or V -Window setting changes into a key operation sequence On the editing screen, display the location where y ou want to inser t the setting change operation, insert an n-key operation, and then input the [...]

  • Page 547

    20070201 System Settings Menu Use the system settings menu to vie w system inf ormation and make system settings . The system settings menu lets y ou do the f ollowing. • Mak e contrast settings • Mak e A uto P ower Off settings • Specify the system language • Vie w the operating system and application v ersions • Reset the calculator 11-[...]

  • Page 548

    20070201 11-1-1 Using the System Settings Menu 11-1 Using the System Settings Menu F rom the Main Menu, enter the SYSTEM mode and display the f ollowing menu items . • 1 ( ) ... {display contrast adjustment} • 2 ( ) ... {Auto P ower Off time setting, backlight dur ation (for models equipped with a backlight only)} • 3 (LANG) ... {system langu[...]

  • Page 549

    20070201 11-2 System Settings k Contrast Adjustment Use the (Contrast) item to adjust display contrast. While the initial SYSTEM mode screen is display ed, press 1 ( ) to display the Contrast Adjustment screen. • The e cursor ke y makes displa y contrast dar ker . • The d cursor ke y makes displa y contrast lighter . • 1 (INIT) retur ns displ[...]

  • Page 550

    20070201 k P ower Pr oper ties Settings Y ou can specify either 10 minutes or 60 minutes as the A uto P ower Off trigger time. Y ou can also specify the backlight duration. u T o specify the Auto P ower Off trigger time 1. While the initial SYSTEM mode screen is display ed, press 2 ( ) to display the P ower Proper ties Setting screen. 2. Use f and [...]

  • Page 551

    20070201 k System Language Setting Use LANG to specify the display language f or built-in applications. Y ou can also use add-ins to install various other languages. u T o select the message language 1. From the initial SYSTEM mode screen, press 3 (LANG) to display the Message Language selection screen. • If your calculator has “Add-in Message [...]

  • Page 552

    20070201 11-3-1 V ersion List * 1 Only installed add-ins are display ed. # The operating system version that actually appears depends on the calculator model. 11-3 V ersion List The V ersion list shows the follo wing items. • Operating system v ersion • Add-in application versions • Add-in message data versions • Add-in menu data v ersions [...]

  • Page 553

    20070201 11-3-2 V ersion List u T o register a user name 1. While the V ersion list is display ed, press 1 (NAME) to display the user name input screen. 2. Input up to eight characters for the user name y ou want. 3. After inputting the name, press w to register it, and retur n to the V ersion list. • If you w ant to cancel user name input and re[...]

  • Page 554

    20070201 11-4 Reset 1. While the initial SYSTEM mode screen is display ed, press 5 (RSET) to display the Reset Screen 1. • 1 (STUP) ... {setup initialization} • 2 (MAIN) ... {main memor y data clear} • 3 (ADD) ... {add-in application clear} • 4 (SMEM) ... {storage memor y data clear} • 5 (A&S) ... {add-in application and storage memor[...]

  • Page 555

    20070201 11-4-2 Reset 2. Press the function key that corresponds to the reset operation y ou want to perform. 3. In response to the confi rmation message that appears, press 1 (Y es) to perform the reset operation you specifi ed, or 6 (No) to cancel. Screen produced when 2 (MAIN) is pressed in step 2. 4. A message appears to let you know when the[...]

  • Page 556

    20070201 Data Comm unications This chapter tells you e verything you need to know to tr ansf er programs betw een two CASIO P ower Gr aphic calculators connected using the cable that is equipped as a standard accessor y . Y ou can use the USB cable that comes with the calculator to connect it to a computer to e xchange images and other data. 12-1 C[...]

  • Page 557

    20070201 12-1-1 Connecting T wo Units 12-1 Connecting T wo Units The follo wing procedure describes how to connect two units with the connecting cab le that comes equipped as a standard accessory . u T o connect two units 1. Check to make sure that the pow er of both units is off. 2. Connect the two units using the cable. 3. Perf or m the following[...]

  • Page 558

    20070201 12-2 Connecting the Unit to a P ersonal Computer Y ou can use the USB cable that comes with the calculator to connect it to a computer to exchange images and other data. For details on oper ation, the types of computer that can be connected, and hardware limitations, see the user’ s documentation for the F A-124 software that comes with [...]

  • Page 559

    20070201 12-3 P erforming a Data Comm unication Operation F rom the Main Menu, enter the LINK mode. The f ollowing data communication main menu appears on the display . • { TRAN } ... {displays the data send screen} • { RECV } ... {displays the data receiv e screen} • { CABL } ... {displays the cable type selection screen} • { W AKE } ... {[...]

  • Page 560

    20070201 k P erforming a Data T ransfer Operation Connect the two units and then perf orm the following procedures . Receiving unit T o set up the calculator to receive data, press 2 (RECV) while the data communication main menu is displa yed. The calculator enters a data receive standb y mode and waits f or data to arr ive. Actual data receive sta[...]

  • Page 561

    20070201 12-3-3 P erforming a Data Communication Operation Pressing 1 (MAIN) or 2 (SMEM) displays a screen f or specifying the data selection method. When 1 (MAIN) is pressed When 2 (SMEM) is pressed • { SEL } ... {selects new data} • { CRNT } ... {automatically selects previously selected data* 1 } u T o send selected data items (Example: T o [...]

  • Page 562

    20070201 u T o execute a send operation After selecting the data items to send, press 6 (TRAN). A message appears to confi rm that you w ant to ex ecute the send operation. • 1 (Y es) ... sends data • 6 (No) ... returns to data selection screen Press 1 (Y es) to send the data. • Y ou can interr upt a data operation at any time b y pressing A[...]

  • Page 563

    20070201 12-3-5 P erforming a Data Communication Operation k Specifying the Cable T ype Use the follo wing procedure to specify the cable type f or data communication. 1. On the data communication main menu, press 4 (CABL). This displays the cab le type selection screen. • { USB } ... {USB cable} • { 3PIN } ... {3-pin cable} 2. Press 1 (USB) or[...]

  • Page 564

    20070201 12-4 Data Comm unications Precautions The follo wing are the types of data items that can be sent. Data Item Contents Overwrite Check * 1 <PROGRAM> Progr am group Program names Program contents (All progr ams are listed.) Y es <MA TRIX> Matrix group MA T n Matr ix memor y (A to Z, and Ans) contents Y es <LISTFILE> List ?[...]

  • Page 565

    20070201 12-4-2 Data Communications Precautions Data Item Contents Overwrite Check * 1 <CAPTURE> Capture memory group CAPT n Capture memor y (1 to 20) data No SETUP Setup data No SYSTEM OS and data shared by applications (clipboard, replay , histor y , etc.), which is not included in the abov e No Add-in application names Add-in application d[...]

  • Page 566

    20070201 12-4-3 Data Communications Precautions k Exchanging Data with another Model Calculator • The graph line style data of this calculator is interchangeable with the line color data of the CFX-9850. • Sending the follo wing type of data to a CFX-9850 will cause an error . ✗ All List, G-Mem, Pict, or F-Mem data, e xcept for data n umbers [...]

  • Page 567

    20070201 12-5 Image T ransfer k T ransferring Images to a Computer Use the follo wing procedure to capture calculator screen images to a computer . P erform this procedure using F A-124 software running on the computer. 1. Use the USB cable to connect the calculator to the computer . 2. On the calculator, press 6 (CAPT). This displa ys the image tr[...]

  • Page 568

    20070201 k A uto Image T ransfer to an OHP Unit (OH-9860* 1 ) The follo wing procedure sends the screen of this calculator to an OHP unit at fi x ed inter vals. 1. Use the USB cable to connect the calculator to the OHP unit. 2. From the Main Men u, enter the LINK mode. 3. Press 4 (CABL). • This displays the cab le type selection screen. 4. Press[...]

  • Page 569

    20070201 12-5-3 Image T ransfer k Connecting to a Projector Y ou can connect the calculator to a CASIO projector and project calculator screen contents onto a screen. u Connectable Projectors (As of Jan uar y 2007) XJ-S35 • Y ou can also connect the calculator to a YP-100 Multifunctional Presentation Kit and project from the projectors other than[...]

  • Page 570

    20070201 12-6-1 Add-ins 12-6 Add-ins Add-in capabilities let you install separately a vailable applications and other software to tailor the calculator to suit your particular needs. Add-ins are installed from a computer using the data communication described on page 12-3-1. The follo wing are the types of software that can be installed as add-ins [...]

  • Page 571

    20070201 k Installing an Add-in Application and Message Language Data Using F A-124 PROGRAM-LINK 1. On your computer’ s desktop, doub le-click “F A-124”. • This will star t up F A-124 PROGRAM-LINK. 2. Click the icon to switch to displa y of Storage Memory contents. 3. In the Computer window , r ight click “Def ault”. 4. On the shor tcut[...]

  • Page 572

    20070201 6. Select the add-in that you want to install. • If you are installing an add-in from the CD-ROM (Ph ysium, Geometr y , etc.), navigate to the CD-ROM that is in y our computer’ s CD-ROM drive and then select the add-in. • If you are installing an add-in fi le that y ou downloaded on the Web , select the downloaded add-in fi le. 7 .[...]

  • Page 573

    20070201 10. In the Computer window , right-click the add-in application you w ant to install and then click “Copy” on the shor tcut menu that appears. 11. In the fx-9860 window , right-click the user name and then select “P aste” on the shor tcut menu that appears. * In place of steps 10 and 11, you could also drag the add-in application f[...]

  • Page 574

    20070201 12. The data will be copied from the Computer window to the fx-9860 window . 13. After the cop y operation is complete, the add-in application will appear under the user name in the fx-9860 window . 14. Click the icon. • This will ter minate the connection between the calculator and F A-124 PROGRAM-LINK and cause the message “Complete![...]

  • Page 575

    20070201 12-7-1 MEMOR Y Mode 12-7 MEMOR Y Mode This calculator has two separate memory areas: a “main memor y” and a “stor age memory . ” The main memory is a wor k area where you can perf orm input data, perform calculations and run programs. Data in the main memor y is relatively safe , but it can be deleted when batteries go dead or when[...]

  • Page 576

    20070201 k Memory Information Screen Press 1 (MAIN) to display current main memory use information. Press 2 (SMEM) to display current storage memory use information. • Use the cursor f and c keys to mo v e the highlighting and check the number of b ytes used by each type of data. • Line 7 shows how man y bytes of memory are currently unused in [...]

  • Page 577

    20070201 Moving the highlighting to a data group or f older and pressing w will display the data g roup or folder contents . Pressing J will retur n to the previous screen. When the contents of a storage memory folder are displa yed, the fi rst line of the screen shows the name of the f older . Folder name (Blank when the root folder is displa yed[...]

  • Page 578

    20070201 Data Name Contents <CAPTURE> Capture memory group CAPT n ( n = 1 to 20) Capture memor y CONICS Conics setting data <PROGRAM> Program group Each program name Programs <S-SHEET> Spreadsheet group Each spreadsheet name Spreadsheet data Each add-in application name Application-specifi c data <F-MEM> Function memory gro[...]

  • Page 579

    20070201 k Creating a Folder in Storage Memory Use the follo wing procedure to create and rename f olders in storage memory . u T o create a new folder 1. While storage memor y data is on the display , press 4 (MK • F) to display the f older name input screen. 2. Input up to eight characters for the name you w ant to give to the f older. • Only[...]

  • Page 580

    20070201 u T o rename a folder 1. On the storage memor y information screen, select the folder y ou want to rename. 2. Press 5 (RN • F) to display the rename f older screen. 3. Input up to eight characters for the name y ou want to give to the f older. • Only the following char acters are suppor ted: A through Z, {, }, ’, ~, 0 through 9 Input[...]

  • Page 581

    20070201 • Y ou can select multiple fi les, if y ou want. 1 (SEL) • Selecting a group or folder also selects e verything inside of it. Deselecting a group or f older deselects all of its contents. • If you select one or more individual items inside of a data group or f older, the b lack selection pointer (  ) appears next to each item, wh[...]

  • Page 582

    20070201 k Copying Data Y ou can copy data between main memory and storage memory . u T o copy from main memory to storage memory Note • The follo wing procedure sav es the selected data into a single fi le . Y ou assign a name to the fi le , which is stored in storage memory . 1. On the main memor y data information screen, select the data you[...]

  • Page 583

    20070201 k Error Chec ks During Data Copy The follo wing error checks are perf or med while a data copy operation is being e xecuted. Low battery chec k The calculator performs low battery check bef ore star ting the data copy oper ation. If the battery is at Level 1, a lo w battery error occurs and the copy operation is not perf ormed. A vailab le[...]

  • Page 584

    20070201 Overwrite check is perf or med for the f ollowing types of data only . All other types of data are copied, without checking f or data fi les with the same name . • Programs • Matrices • List fi les • Graph memor ies • Dynamic Graph memories • Spreadsheet data Overwrite check is perf or med for data of the same type only . If [...]

  • Page 585

    20070201 k Deleting Files Use the procedures in this section to delete main memory and storage memor y data. u T o delete a main memor y fi le 1. On the initial MEMOR Y mode screen press 1 (MAIN). • This displays a list of fi les that are in the main memor y . 2. Select the fi le(s) y ou want to delete. Y ou can select multiple fi les, if y o[...]

  • Page 586

    20070201 k Searc hing for a File Use the follo wing procedures to search f or a specifi c fi le in the main memory or storage memory . u T o search f or a fi le in the main memory Example T o search f or all fi les in the main memory whose names begin with the letter “R” 1. On the initial MEMOR Y mode screen press 1 (MAIN). • This display[...]

  • Page 587

    20070201 u T o search f or a fi le in the storage memory Example T o search f or all fi les in the storage memory whose names begin with the letter “S” 1. On the initial MEMOR Y mode screen press 2 (SMEM). • This displays a list of fi les that are in the storage memory . 2. Press 3 (SRC). • Input the letter “S” for the ke yword. • [...]

  • Page 588

    20070201 k Backing Up Main Memory Data Y ou can back up all the data in the main memory and store it in the storage memor y . Later you can restore the bac ked up data to the main memory when necessar y . u T o back up main memory data 1. On the initial MEMOR Y mode screen press 4 (BKUP). 2. Press 1 (SA VE). This displays a f older selection screen[...]

  • Page 589

    20070201 u T o restore backup data to the main memory 1. On the initial MEMOR Y mode screen press 4 (BKUP). • On the screen that appears, you can confi rm whether or not there is backup data in the storage memory . 2. Press 2 (LOAD). This displays the f older selection screen. 3. Use f and c to select a folder . 4. Press w .* 1 • A message app[...]

  • Page 590

    20070201 12-7-16 MEMOR Y Mode k Optimizing the Storage Memory Storage memory can become fragmented after many store and load operations. F ragmentation can cause b locks of memory to become unav ailable f or data storage . Because of this, y ou should periodically perform the storage memor y optimization procedure, which rearranges the data in the [...]

  • Page 591

    20070201 Appendix 1 Error Messa ge T able 2 Input Ranges α[...]

  • Page 592

    20070201 α -1-1 Error Message T able 1 Err or Message T able Message Meaning Countermeasure Syntax ERROR • Illegal syntax • Attempt to input an illegal command • Press J to display the error and make necessary corrections. Ma ERROR • Calculation result e xceeds the display r ange. • Calculation is outside the input range of a function. ?[...]

  • Page 593

    20070201 α -1-2 Error Message T able Message Meaning Countermeasure Memor y ERROR • Operation or memory storage operation e xceeds remaining memory capacity . • Keep the n umber of memories you use within the currently specifi ed number of memories. • Simplify the data you are trying to store to keep it within the av ailable memory capacity[...]

  • Page 594

    20070201 α -1-3 Error Message T able Message Meaning Countermeasure No V ar iable • No v ar iable specifi ed within a graph function being used f or Dynamic Graph. • No v ariable within a Solve equation. • Specify a variable f or the graph function. • Input a Solv e equation that includes a variable . Com ERROR • Problem with cab le con[...]

  • Page 595

    20070201 α -1-4 Error Message T able Message Meaning Countermeasure Invalid T ype • An illegal data type is specifi ed. • Specify valid data. Storage Memory Full • The storage memory is full. • Delete unneeded data. Data ERROR • A data error occurred. • Check to make sure y ou are writing correct type of data and try again.[...]

  • Page 596

    20070201 α -2-1 Input Ranges 2 Input Rang es Function Input range for real number solutions Internal digits Precision Notes sin x cos x tan x (DEG) | x | < 9 × (10 9 ) ° (RAD) | x | < 5 × 10 7 π rad (GRA) | x | < 1 × 10 10 grad 15 digits As a r ule, precision is ± 1 at the 10th digit.* Howe ver , for tan x : | x | ≠ 90(2 n +1): DE[...]

  • Page 597

    20070201 α -2-2 Input Ranges Function Input range for real number solutions Internal digits Precision Notes P ol ( x , y ) x 2 + y 2 < 1 × 10 100 15 digits As a r ule, precision is ± 1 at the 10th digit.* Rec ( r , θ ) | r | < 1 × 10 100 (DEG) | θ | < 9 × (10 9 ) ° (RAD) | θ | < 5 × 10 7 π rad (GRA) | θ | < 1 × 10 10 gra[...]

  • Page 598

    20070201 α -2-3 Input Ranges Function Input range Binar y , octal, decimal, hexadecimal calculation V alues fall within f ollowing ranges after con version: DEC: –2147483648 < x < 2147483647 BIN: 1000000000000000 < x < 1111111111111111 (negative) 0 < x < 111111111111111 (0, positive) OCT: 20000000000 < x < 37777777777 (ne[...]

  • Page 599

    CASIO Europe GmbH Bornbarch 10, 22848 Norderstedt, Germany This mark applies in EU countr ies only .[...]

  • Page 600

    CASIO COMPUTER CO ., L TD . 6-2, Hon-machi 1-chome Shibuya-ku, T okyo 151-8543, Japan One or more of the following patents may be used in the pr oduct. U.S.Pats. 5,166,897 5,210,708 5,535,317 5,539,867 SA0702-A[...]