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Casio fx-9860G AU kMatrix Calculations, uTo display the matrix commands

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Matrix Calculations

kMatrix Calculations

[OPTN]-[MAT]

Use the matrix command menu to perform matrix calculation operations.

uTo display the matrix commands

1.From the Main Menu, enter the RUN • MAT mode.

2.Press Kto display the option menu.

3.Press 2(MAT) to display the matrix command menu.

The following describes only the matrix commands that are used for matrix arithmetic operations.

•{Mat} ... {Mat command (matrix specification)}

•{Det} ... {Det command (determinant command)}

•{Trn} ... {Trn command (transpose matrix command)}

•{Iden} ... {Identity command (identity matrix input)}

All of the following examples assume that matrix data is already stored in memory.

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Contents

User’s Guide Page BEFORE USING THE CALCULATOR FOR THE FIRST TIME SYSTEM Quick-Start TURNING POWER ON AND OFF USING MODES To select the RUN • MAT mode BASIC CALCULATIONS Parentheses Calculations Built-InFunctions REPLAY FEATURE FRACTION CALCULATIONS Converting an Improper Fraction to a Mixed Fraction Converting a Fraction to Its Decimal Equivalent EXPONENTS GRAPH FUNCTIONS Page DUAL GRAPH Box Zoom DYNAMIC GRAPH Page TABLE FUNCTION Precautions when Using this Product MEMORY Precautions when Connecting to a Computer Handling Precautions Your calculator is made up of precision components. Never try to take it apart •Avoid dropping your calculator and subjecting it to strong impact •Always be gentle when wiping dust off the display to avoid scratching it •Be sure that the power switch is set to OFF when replacing batteries Be sure to keep physical records of all important data Contents Graphing Chapter 6 Statistical Graphs and Calculations Chapter 7 Financial Calculation (TVM) Programming Spreadsheet eActivity Chapter 11 System Settings Menu Data Communications Appendix Getting Acquainted — Read This First About this User’s Guide u!x() um EQUA Getting Acquainted uGraphs Left hand page Right hand page 3. Draw the graph Basic Operation 1-1Keys kKey Table 1-1-3Keys kKey Markings Function Key Operation log 1-2Display Display S • SHT (Spreadsheet) the calculator’s built-incommands and S • SHT mode in the STAT mode kAbout the Function Menu • Next Menu Selecting displays a menu of hyperbolic functions • Command Input Selecting inputs the sinh command kNormal Display u How to interpret exponential format kSpecial Display Formats kCalculation Execution Indicator 1-3Inputting and Editing Calculations ddd!D(INS) (INS) To abort this operation, press !D(INS) again uTo delete a step Example To change 369 ⋅ ⋅ 2 to 369 ⋅ uTo insert a step uTo change the last step you input kUsing Replay Memory Example 1 To perform the following two calculations 4.12⋅ 6.4 4.12⋅ 7.1 Ae.bc*g.ew kMaking Corrections in the Original Calculation Example 14 ⎟ 0 ⋅ 2.3 entered by mistake for 14 ⎟ 10 ⋅ 2.3 Abe/a*c.d kUsing the Clipboard for Copy and Paste uTo specify the copy range Linear input mode Math input mode u To cut the text uPasting Text ! j !j(PASTE) kCatalog Function uTo use the Catalog to input a command kInput Operations in the Math Input Mode uMath Input Mode Functions and Symbols Function/Symbol Bytes Fraction (Improper) Mixed Fraction*1 uUsing the MATH Menu log dx2 uMath Input Mode Input Examples Example 1 To input 23 + Page Example 4 To input 2 ⋅ u When the calculation does not fit within the display window uInserting a Function into an Existing Expression u To insert a function into an existing expression To insert the function into the expression 1 + (2 + 3) + 4 so the parenthetical expression becomes the argument of the function u Functions that Support Insertion Original Expression After uEditing Calculations in the Math Input Mode To do this: Move the cursor from the end of the calculation to the beginning Move the cursor from the beginning of the calculation to the end uMath Input Mode Calculation Result Display Sample Calculation Result Displays uMath Input Mode Input Restrictions 1-4Option (OPTN) Menu •{LIST}/{CPLX}/{CALC}/{HYP}/{PROB}/{NUM}/{ANGL}/{ESYM}/{FMEM}/{LOGIC} •{List}/{CALC}/{HYP}/{PROB}/{NUM}/{FMEM}/{LOGIC} uOption menu when a number table value is displayed in the TABLE or RECUR mode LMEM 1-5Variable Data (VARS) Menu u STAT — Recalling statistical data minX maxX minY maxY u GRPH — Recalling Graph Functions •{Xt}/{Yt} ... parametric graph function {Xt}/{Yt} • {X} ... {X=constant graph function} (Press these keys before inputting a value to specify a storage memory.) u RECR — Recalling Recursion Formula*1, Table Range, and Table Content Data •{FORM} ... {recursion formula data menu} • {an}/{an+1}/{an+2}/{bn}/{bn+1}/{bn+2}/{cn}/{cn+1}/{cn+2} ... {an}/{an+1}/{an+2}/{bn}/{bn+1}/{bn+2}/{cn}/{cn+1}/{cn+2} expressions •{RANG} ... {table range data menu} 1-6Program (PRGM) Menu 1-7Using the Setup Screen uMode (calculation/binary, octal, decimal, hexadecimal mode) Comp •{Dec}/{Hex}/{Bin}/{Oct} uFrac Result (fraction result display format) d/c uAxes (graph axis display) uLabel (graph axis label display) uDisplay (display format) •{Fix}/{Sci}/{Norm}/{Eng} uStat Wind (statistical graph V-Windowsetting method) uBackground (graph display background) •{None}/{PICT} u Sketch Line (overlaid line type) uDynamic Type (dynamic graph type) •{Cnt}/{Stop} uDate Mode (number of days per year setting) •{365}/{360} ... interest calculations using {365}*1/{360} days per year uAuto Calc (spreadsheet auto calc) ... {execute}/{not execute} the formulas automatically 1-8Using Screen Capture 1-9When you keep having problems… kLow Battery Message Manual Calculations 2-1Basic Calculations kNumber of Decimal Places, Number of Significant Digits, Normal Display Range [SET UP]- [Display] -[Fix] /[Sci] / [Norm] Condition 100/6w 200 ⎟ 7 ⋅ 14 200/7*14w 3 decimal places 1(Fix)dwJw Calculation continues using 2Type B functions 3Power/root ^(xy) 4Fractions ab/c Abbreviated multiplication format in front of 2π, 5A, etc kMultiplication Operations without a Multiplication Sign You can omit the multiplication sign (⋅) in any of the following operations Before Type A functions 2sin30, 10log1.2, 2 3, 2Pol(5, 12), etc • Before constants, variable names, memory names kMemory Capacity 2-2Special Functions uTo display the contents of a variable To display the contents of variable A uTo clear a variable To clear variable A uTo assign the same value to more than one variable uTo store a function Example To store the function (A+B) (A–B)as function memory number (av(A)+al(B)) (B) (av(A)-al(B)) uTo delete a function Example To delete the contents of function memory number uTo use stored functions y = x3 + x2 + x + Xmin = – 4 kAnswer Function uTo use the contents of the answer memory in a calculation 123 + 456 789 – 579 Abcd+efgw kHistory Function *cw To change “1+2” to “1+3” and recalculate Perform the following operation following the sample shown above ffffdDdw kStacks stacks numeric value stack command stack program subroutine stack kUsing Multistatements • Colon (:) • Display Result Command (^) Abcdaav(A) !J(PRGM)6(g)5(:)g.j 2-3Specifying the Angle Unit and Display Format uTo specify the number of significant digits (Sci) To specify three significant digits 2(Sci) dw uTo specify the normal display (Norm 1/Norm 2) Press 3(Norm) to switch between Norm 1 and Norm 2-4Function Calculations uAngle Units, Coordinate Conversion, Sexagesimal Operations (ANGL) [OPTN]-[ANGL] •{°}/{r}/{g} ... {degrees}/{radians}/{grads} for a specific input value •{° ’ ”} ... {converts decimal value to degrees/minutes/seconds value}*1 Pol kAngle Units • Be sure to specify Comp for Mode in the Setup screen !m(SET UP)cccccc1(Deg)J 4.25K6(g)5(ANGL)2(r)w 47.3° + 82.5rad = 4774.20181° kTrigonometric and Inverse Trigonometric Functions 2*s45*c65w*1 1/s30w kLogarithmic and Exponential Functions log 1.23 (log101.23) l1.23w log2 8 K4(CALC)6(g)4(logab)2,8)w kHyperbolic and Inverse Hyperbolic Functions kOther Functions )(36*42*49)w )36*42*49w kRandom Number Generation (Ran#) Ran# (Generates a random number.) K6(g)3(PROB)4(Ran#)w (Each press of w generates a new random number.) kCoordinate Conversion kPermutation and Combination u Permutation items selected from among 10 items Formula that can be selected from among 10 items $2c5e+!$(&)3e1c4 w ––+ 3 ––= ––– 2$5+3$1$4w $1c2578e+$1c4572w 10 Switching between improper fraction and mixed fraction format Pressing the !M(<) key toggles the display fraction between mixed fraction and improper fraction format Switching between fraction and decimal format kEngineering Notation Calculations 2-5Numerical Calculations kDifferential Calculations Using Differential Calculation in a Graph Function To determine the derivative at point x = 3 for the function y = x3 + 4x2 + x – 6, with a tolerance of “tol” = 1E – Input the function f(x) AK4(CALC)2(d/dx)vMd+evx+v-g (CALC) uApplications of Differential Calculations ––– f (a) = f '(a) ––– g (a) = g'(a) Therefore: f'(a) + g'(a), f '(a) ⋅ g'(a), etc kQuadratic Differential Calculations [OPTN]-[CALC]-[d2/dx2] K4(CALC)3(d 2/dx2) f(x),a,tol) (a: differential coefficient point , tol: tolerance) –––(f (x), a) A4(MATH)5(d2/dx2)vMde +evx+v-gedw uQuadratic Differential Applications • Arithmetic operations can be performed using two quadratic differentials ––– f (a) = f ''(a) ∫( f(x), a, b, tol) ⇒ ∫ab f(x)dx 4(MATH)6(g)1(∫dx)cvx+ dv+eebffw uApplication of Integration Calculation • Integrals can be used in addition, subtraction, multiplication or division ∫ab f(x) dx + ∫cd g(x) dx, etc f(x)dx +.....+ ∫b f(x)dx kΣ Calculations [OPTN]-[CALC]-[Σ ] K4(CALC)6(g)3(Σ( ) ak ,k ,α ,β ,n ) Σ(ak, k, α, β, n) = Σ ak = aα + aα +1 +........+ aβ (n: distance between partitions) Sn + Tn, Sn – Tn, etc 2 ⋅ Sn, log (Sn), etc Σ (sink, k, 1, 5), etc kMaximum/Minimum Value Calculations uMinimum Value uMaximum Value AK4(CALC)6(g)2(FMax) -vx+cv+c (FMax) 2-6Complex Number Calculations kArithmetic Operations Example 1 (1 + 2i) + (2 + 3i) Example 2 (2 + i) ⋅ (2 – i) kReciprocals, Square Roots, and Squares (3 + i) kAbsolute Value and Argument [OPTN]-[CPLX]-[Abs]/[Arg] and calculates absolute value Z and argument (arg) To calculate absolute value (r) and argument (θ) for the complex number 3 + 4i, with the angle unit set for degrees kExtraction of Real and Imaginary Parts [OPTN]-[CPLX]-[ReP]/[lmP] complex number of the form a + bi To extract the real and imaginary parts of the complex number 2 + AK3(CPLX)6(g)1(ReP) kPolar and Rectangular Form Transformation [OPTN]-[CPLX]-['r∠θ]/['a+bi] polar form 2-7Binary, Octal, Decimal, and Hexadecimal Calculations with Integers u To perform a binary, octal, decimal, or hexadecimal calculation [SET UP]- [Mode] -[Dec]/[Hex]/[Bin]/[Oct] d~o LOG kSelecting a Number System u To specify a number system for an input value u To input values of mixed number systems Example To input 12310 or 10102, when the default number system is hexadecimal Example 1 To calculate 101112 + !m(SET UP)c2(Dec)J A1(d~o)4(o)bcd* 2(h)ABC*1w J3(DISP)2('Hex)w kNegative Values and Bitwise Operations Press 2(LOG) to display a menu of negation and bitwise operators •{Neg} ... {negation}*2 Example 2 To display the result of “368 or 11102” as an octal value Example 3 To negate 2FFFED16 uNumber System Transformation Dec Hex 2-8Matrix Calculations kInputting and Editing Matrices m ⋅ n … m (row) ⋅ n (column) matrix None… no matrix preset •{DEL}/{DEL·A} ... deletes {a specific matrix}/{all matrices} •{DIM} ... {specifies the matrix dimensions (number of cells)} uTo input cell values To input the following data into Matrix B : bwcwdw ewfwgw To exit the Matrix input screen, press J uDeleting Matrices u To delete a specific matrix u To delete all matrices kMatrix Cell Operations R-OP •{ROW} INS ADD u To calculate the scalar multiplication of a row 4 : 4, then add the result to row 3 : u To add two rows together u Row Operations u To delete a row u To insert a row u To add a row uColumn Operations •{DEL} ... {delete column} •{INS} ... {insert column} •{ADD} ... {add column} u To delete a column u To add a column Example To add a new column to the right of column 2 of the following kModifying Matrices Using Matrix Commands u To display the matrix commands Det u Matrix Data Input Format [OPTN]-[MAT]-[Mat] a1n a2n am1 am2 amn u To input an identity matrix Example 2 To create a 3 ⋅ 3 identity matrix as Matrix A u To check the dimensions of a matrix Example 3 To check the dimensions of Matrix A, which was input in Example Example 4 To specify dimensions of 2 rows and 3 columns for Matrix B uModifying Matrices Using Matrix Commands u To assign values to and recall values from an existing matrix [OPTN]-[MAT]-[Mat] Example 1 Assign 10 to the cell at row 1, column 2 of the following matrix : 1 Matrix A = 3 uTo fill a matrix with identical values and to combine two matrices into a single matrix [Fill]/[Aug] Example 1 To fill all of the cells of Matrix A with the value K2(MAT)6(g)3(Fill) uTo assign the contents of a matrix column to a list [OPTN]-[MAT]-[M→L] kMatrix Calculations uTo display the matrix commands uMatrix Arithmetic Operations [OPTN]-[MAT]-[Mat]/[Iden] Example 1 To add the following two matrices (Matrix A + Matrix B) : AK2(MAT)1(Mat)av(A)+ AfK2(MAT)1(Mat) uDeterminant [OPTN]-[MAT]-[Det] Obtain the determinant for the following matrix : K2(MAT)3(Det)1(Mat) uMatrix Transposition uMatrix Inversion [OPTN]-[MAT]-[x–1] To invert the following matrix : K2(MAT)1(Mat) av(A)!)(x–1) w uSquaring a Matrix uRaising a Matrix to a Power [OPTN]-[MAT]-[] To raise the following matrix to the third power : K2(MAT)1(Mat)av(A) Mdw kPerforming Matrix Calculations Using Natural Input uTo specify the dimensions (size) of a matrix uTo input cell values uTo assign a matrix created using natural input to a MAT mode matrix List Function 3-1Inputting and Editing a List u To batch input a series of values kEditing List Values u To change a cell value u To edit the contents of a cell u To delete a cell u To delete all cells in a list u To insert a new cell kNaming a List You can assign List 1 through List 26 “sub names” of up to eight bytes each u To name a list 1.On the Setup screen, highlight “Sub Name” and then press 1(On)J 3.Type in the name and then press w kSorting List Values u To sort a single list Ascending order Descending order u To sort multiple lists Page 3-2Manipulating List Data u To count the number of data items in a list To count the number of values in List 1 (36, 16, 58, 46, 56) u To create a list or matrix by specifying the number of data items [OPTN]-[LIST]-[Dim] contains 0) in Matrix A u To replace all data items with the same value[OPTN]-[LIST]-[Fill] [LIST] [Fill] Example To replace all data items in List 1 with the number u To find the minimum value in a list[OPTN]-[LIST]-[Min] [Min] Example To find the minimum value in List 1 (36, 16, 58, 46, 56) u To find the maximum value in a list u To find which of two lists contains the smallest value u To calculate the mean of data items[OPTN]-[LIST]-[Mean] [Mean] Example To calculate the mean of data items in List 1 (36, 16, 58, 46, 56) u To calculate the mean of data items of specified frequency [OPTN]-[LIST]-[Mean] u To calculate the median of data items of specified frequency [OPTN]-[LIST]-[Med] u To combine lists u To calculate the sum of data items in a list[OPTN]-[LIST]-[Sum] [Sum] u To calculate the product of values in a list[OPTN]-[LIST]-[Prod] [Prod] Example To calculate the product of values in List 1 (2, 3, 6, 5, 4) u To calculate the cumulative frequency of each data item [OPTN]-[LIST]-[Cuml] To calculate the percentage represented by each data item in List AK1(LIST)6(g)6(g)4(%) u To calculate the differences between neighboring data inside a list [OPTN]-[LIST]-[A] K1(LIST)6(g)6(g)5(A)<list number 1-26>w 3-3Arithmetic Calculations Using Lists u To directly input a list of values To input the list: 56, 82 uTo assign the contents of one list to another list Example 1 To assign the contents of List 3 to List Example 2 To assign the list in ListAns Memory to List u To recall the value in a specific list cell u To input a value into a specific list cell kRecalling List Contents u To use list contents in ListAns Memory in a calculation kGraphing a Function Using a List kInputting Scientific Calculations into a List Example To use the TABLE mode to create a number table for the formula (Y1 x2 – 1), and then copy the table to List 1 in the STAT mode kPerforming Scientific Function Calculations Using a List To use List 3 65 to perform sin (List 3) and List 3-4Switching Between List Files Equation Calculations 4-1Simultaneous Linear Equations To solve the following simultaneous linear equations for x, y, and z 4x + y – 2z = – x + 6y 4-2Quadratic and Cubic Equations x3 – 2x2 – x + 2 4-3Solve Calculations 9.8 (m/s2) H = VT – 1/2 GT2 23(SOLV) aM(H)!.(=)ac(V)a/(T)-(b/c)a$(G)a/(T)xw (H) 4-4What to Do When an Error Occurs Graphing 5-1Sample Graphs To graph y 1m GRAPH 2dvxw 36(DRAW) (or w) kHow to draw a simple graph (2) Y1 = 2x2 – 3, r2 = 3sin2θ kHow to draw a simple graph (3) Graph Type Graph the circle (X–1)2 + (Y–1)2 1m CONICS 2ccccw 3bwbwcw 46(DRAW) kHow to draw a simple graph (4) Page 5-2Controlling What Appears on a Graph Screen u V-WindowSetting Precautions kInitializing and Standardizing the V-Window u To initialize the V-Window u To initialize the V-Windowin accordance with an angle unit u To standardize the V-Window kV-WindowMemory u To store V-Windowsettings 3.Press 4(STO) to display the pop-upwindow Press a number key to specify the u To recall V-Windowmemory settings kSpecifying the Graph Range Graph y = x2 + 3x – 2 within the range – 2 < x <4 Xmin = –3 Xmax = 5 Ymax = 30 1mGRAPH kZoom Graph y = (x + 5)(x + 4)(x + 3), and then perform a box zoom Xmin = –8 Xmax = 8 Ymin = – 4 Ymax = 2 kFactor Zoom Controlling What Appears on a Graph Screen Enlarge the graphs of the two expressions shown below five times on both the x- and y-axisto see if they are tangent Y1 = (x + 4)(x + 1)(x – 3), Y2 = 3x + Xscale 5-3Drawing a Graph u To store a polar coordinate function (r=) *1 Example To store the following expression in memory area r2 : r = 5 sin3θ 3(TYPE)2(r=) (Specifies polar coordinate expression.) fsdv(Inputs expression.) w(Stores expression.) u To store an X = constant expression *1 Example To store the following expression in memory area X4 : X 3(TYPE)4(X=c) (Specifies X = constant expression.) d(Inputs expression.) u To store an inequality *1 Example To store the following inequality in memory area Y5 : u To assign values to the coefficients and variables of a graph function Memory Area Type Default Variable Xtn Ytn Y1 (3) and Y1 (X = 3) are identical values kEditing and Deleting Functions u To edit a function in memory Example To change the expression in memory area Y1 from y = 2x2 – 5 to y= 2x2 – u To change the line style of a graph function u To change the type of a function*1 Example To change the function in memory area Y1 from y = 2x2 – 3 to y< 2x2 – u To delete a function k Selecting Functions for Graphing u To specify the draw/non-drawstatus of a graph Y1 = 2x2 – 5, r2 = 5 sin3θ Xmin = –5 Ymin = –5 kGraph Memory A single save operation saves the following data in graph memory •All graph functions in the currently displayed Graph relation list (up to 20) •Graph types •Function graph line information 5-4Storing a Graph in Picture Memory 5-5Drawing Two Graphs on the Same Screen Graph y = x(x + 1)(x – 1) in the main screen and sub-screen (Main Screen) Xmin = –2 Xmax = 2 Ymin = –2 kGraphing Two Different Functions Graph y = x(x + 1)(x – 1) in the main screen, and y = 2x2 – 3 in the sub screen 3!3(V-WIN) -ewewbwc -fwfwbw 6(RIGHT) -cwcwa.fwc -cwcwbwJ 43(TYPE)1(Y=)v(v+b)(v-b)w cvx-dw kUsing Zoom to Enlarge the Sub-screen Draw the graph y = x(x + 1)(x – 1) in the main screen, and then use Box Zoom to enlarge it 3!3(V-WIN) -cwcwa.fwc -cwcwbwJ 5!2(ZOOM)1(BOX) c~ce~ew f~fd~dw 5-6Manual Graphing Graph y + 3x – kIntegration Graph Graph the integration ∫ 1 (x + 2)(x – 1)(x – 3) dx Ymin = –8 Ymax = 12 2!3(V-WIN) -ewewbwc -iwbcwfwJ 3!4(SKTCH)1(Cls)w 5(GRPH)5(G • ∫ dx) kDrawing Multiple Graphs on the Same Screen To graph y = Ax2 – 3 as the value of A changes in the sequence 3, 1 –1 2!m(SET UP)cc3(Off)J 3!3(V-WIN) -fwfwbwc -bawbawcwJ kUsing Copy and Paste to Graph a Function There are two types of functions you can paste into the graph screen Type 1 (Y= expression) Example: To paste Y=X and graph it • Any spaces to the left of Y are ignored previously copied function Y=X from the clipboard 5-7Using Tables u To generate a table using a list 1.While the Table relation list is on the screen, display the Setup screen 2.Highlight Variable and then press 2(LIST) to display the pop-upwindow 3.Select the list whose values you want to assign for the x-variable To select List 6, for example, press •To change x variable values by replacing values in column Press 1(FORM) or J to return to the Table relation list u To generate a differential number table *1 uSpecifying the function type You can specify a function as being one of three types.*2 u To edit a function Example To change the function in memory area Y1 from y = 3x2 – 2 to y= 3x2 – kEditing Tables FORM G·CON G·PLT u To change variable values in a table uRow Operations Example To add a new row below Row 7 in the table generated on page uDeleting a Table kCopying a Table Column to a List u To copy a table to a list kDrawing a Graph from a Number Table 1.From the Main Menu, enter the TABLE mode 3.Store the functions 4.Specify the table range 5.Generate the table Store the two functions below, generate a number table, and then draw a line graph. Specify a range of –3to 3, and an increment of Y1 = 3x2 – 2, Y2 Xmin = 0 Xmax = 6 kSpecifying a Range for Number Table Generation Store the three functions shown below, and then generate a table for functions Y1 and Y3. Specify a range of –3to 3, and an increment of Y1 = 3x2 – 2, Y2 = x + 4, Y3 23(TYPE)1(Y=)dvx-cwv+ew vxw 35(SET)-dwdwbwJ kSimultaneously Displaying a Number Table and Graph 3.On the Setup screen, select T+G for Dual Screen 5.Specify the table range 6.The number table is displayed in the sub-screenon the right 7.Specify the graph type and draw the graph Store the function Y1 = 3x2 – 2 and simultaneously display its number table and line graph. Use a table range of –3to 3 with an increment of 3!m(SET UP)cc1(T+G)J 43(TYPE)1(Y=)dvx-cw 55(SET) kUsing Graph-TableLinking 2.Make the required V-Windowsettings 3.Input the function of the graph and make the required table range settings 5(G • CON) ... connect type graph 5.Press K2(GLINK) to enter the Graph-TableLinking mode Xmin = –1 Xmax = 10 Ymin = –1 Ymax = 4 2!3(V-WIN) -bwbawbwc -bwewbwJ 5-8Dynamic Graphing is drawn 10 times Xmin = –6.3 Xmax = 6.3, Xscale Ymin = –3.1 Ymax = 3.1, Yscale = 1 (initial defaults) kDrawing a Dynamic Graph Locus times kDynamic Graph Application Examples Page kAdjusting the Dynamic Graph Speed kGraph Calculation DOT Switching Function kUsing Dynamic Graph Memory The following is all of the data that makes up a set •Graph functions (up to 20) •Dynamic Graph conditions •Setup screen settings 5-9Graphing a Recursion Formula Generate a number table from recursion between three terms as expressed by an+2 = an+1 + an, with initial terms of a1 = 1, a2 (Fibonacci sequence), as n changes in value from 1 to 1m RECUR 23(TYPE)3(an+2) kGraphing a Recursion Formula (1) Generate a number table from recursion between two terms as expressed by an+1 = 2an+1, with an initial term of a1 = 1, as n changes in value from 1 to 6. Use the table values to draw a line graph Ymin = –15 Ymax = 65 kGraphing a Recursion Formula (2) Graphing a Recursion Formula Generate a number table from recursion between two terms as in value from 1 to 6. Use the table values to draw a plot line graph with ordinate Σan, abscissa n 2!m(SET UP)1(On)J kWEB Graph (Convergence, Divergence) To draw the WEB graph for the recursion formula an+1 = –3(an)2 + 3an bn+1 = 3bn + 0.2, and check for divergence or convergence. Use the following table range and V-WindowSettings Table Range Start = 0, End = 6, a0 = 0.01, anStr = 0.01, b0 = 0.11, bnStr kGraphing a Recursion Formula on Dual Screen 4.Specify the recursion formula type and input the formula 3!m(SET UP)ccc1(T+G)J 85(G • CON) 5-10Changing the Appearance of a Graph Draw a line that is tangent to point (2, 0) on the graph for y = x (x + 2)(x – 2) Xmax = 6.3 Ymax = 3.1 Yscale = 1 (initial defaults) kInserting Comments You can insert comments anywhere you want in a graph Insert text into the graph y = x (x + 2)(x – 2) !3(V-WIN) -fwfwbwc -fwfwbwJ 3(TYPE)1(Y=)v(v+c)(v-c)w6(DRAW) 2!4(SKTCH)6(g)6(g)2(Text) 3f~f d~d a-(Y)!.(=)v(v+c)(v-c) kFreehand Drawing Use the pen to draw on the graph y = x (x + 2)(x – 2) 2!4(SKTCH)6(g)6(g)1(PEN) 3f~f d~dw 4cd…, e~e, ef…, d~dw kChanging the Graph Background Page 5-11Function Analysis Read coordinates along the graph of the function shown below Y1 = x2 – 2!3(V-WIN) -fwfwbwc 3(TYPE)1(Y=)vx-dw 3!1(TRCE) kDisplaying the Derivative Read coordinates and derivatives along the graph of the function shown below 2!m(SET UP)cccc1(On)J 4!1(TRCE) 5d~d kGraph to Table Save, in a table, the coordinates in the vicinity of the points of intersection at X = 0 for the two graphs shown below, and store the table contents in List Y1 = x2 – 3, Y2 = – x + 2!m(SET UP)cc2(GtoT)J kCoordinate Rounding Page kCalculating the Root Draw the graph shown below and calculate the root for Y1 Y1 = x(x + 2)(x – 2) 3!5(G-SLV)1(ROOT) 5e e kCalculating the Point of Intersection of Two Graphs Graph the two functions shown below, and determine the point of intersection between Y1 and Y2 Y1 = x + 1, Y2 3(TYPE)1(Y=)v+bw vxw 2!5(G-SLV)5(ISCT) kDetermining the Coordinates for Given Points Graph the two functions shown below and then determine the y coordinate for x = 0.5 and the x-coordinatefor y = 2.2 on graph Y2 Y1 = x + 1, Y2 = x(x + 2)(x – 2) Xmin = –6.3,Xmax = 6.3, Xscale Ymin = –3.1,Ymax = 3.1, Yscale = 1 (initial defaults) kCalculating the lntegral Value for a Given Range Use the following procedure to obtain integration values for a given range 5.Use e to move the upper limit pointer to the location you want 6.Press w to calculate the integral value value at (–2,0) Ymin = –4 kConic Section Graph Analysis u Parabolic Graph Analysis FOCS VTX LEN u To calculate the focus, vertex and length of latus rectum To determine the focus, vertex and length of latus rectum for the parabola X = (Y – 2)2 + u To calculate the center and radius To determine the center and radius for the circle (X + 2)2 + (Y + 1)2 u To calculate the x- and y-intercepts To determine the x- and y-interceptsfor the hyperbola (X – 3)2 (Y – 1)2 u To draw and analyze the axis of symmetry and directrix uTo draw and analyze the asymptotes [G-SLV]-[ASYM] To draw the asymptotes for the hyperbola (X – 1)2 Ymin = –5,Ymax = 5, Yscale Statistical Graphs and Calculations 6-1Before Performing Statistical Calculations kChanging Graph Parameters •{GPH1}/{GPH2}/{GPH3} ... graph {1}/{2}/{3} drawing*1 SEL •{SET} ... {graph settings (graph type, list assignments)} 1. General graph settings • Mark Type This setting lets you specify the shape of the plot points on the graph u To display the general graph settings screen Pressing 1(GRPH)6(SET) displays the general graph settings screen •StatGraph (statistical graph specification) 2. Graph draw/non-drawstatus [GRPH]-[SEL] 1. Pressing 1(GRPH) 4(SEL) displays the graph On/Off screen •{On}/{Off} ... {On (draw)}/{Off (non-draw)} •{DRAW} ... {draws all On graphs} 6-2Calculating and Graphing Single-VariableStatistical Data kMed-boxGraph (MedBox) kNormal Distribution Curve (N• Dis) y π) xσn kBroken Line Graph (Brkn) kDisplaying the Calculation Results of a Drawn Single-VariableGraph 6-3Calculating and Graphing Paired-VariableStatistical Data Input the two sets of data shown 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 kDrawing a Regression Graph Input the two sets of data shown below and plot the data on a scatter diagram. Next, perform 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 kSelecting the Regression Type •{2VAR} ... {paired-variablestatistical results} •{X}/{Med}/{X^2}/{X^3}/{X^4}/{Log}/{Exp}/{Pwr}/{Sin}/{Lgst} kDisplaying Regression Calculation Results kGraphing Statistical Calculation Results kLinear Regression Graph The graphic representation of this relationship is a linear regression graph 1(CALC)2(X) The following is the linear regression model formula y = ax + b kQuadratic/Cubic/Quartic Regression Graph Quadratic regression Cubic regression Quartic regression kLogarithmic Regression Graph y = a + b • ln kExponential Regression Graph y = a • ebx k Power Regression Graph y = a • xb k Sinusoidal Regression Graph kLogistic Regression Graph The following is the logistic regression model formula y 1 + ae–bx 1(CALC)6(g)6(g)1(Lgst) kDisplaying the Calculation Results of a Drawn Paired-VariableGraph o sum of data stored in xList sum of squares of data stored in xList kMultiple Graphs kOverlaying a Function Graph on a Statistical Graph scatter diagram and overlay a function graph y = 2ln –2.1,0.3 2a.fwb.cw c.ewewf.cw e -c.bwa.dwb.fwcwc.ew 1(GRPH)1(GPH1) 32(DefG) cIvw(Register Y1 = 2In x) 6-4Performing Statistical Calculations kSingle-VariableStatistical Calculations kPaired-VariableStatistical Calculations kRegression Calculation You can directly determine the same expression from the data input screen To display single-variableregression parameters 2(CALC)3(REG)1(X) u Calculation of the Coefficient of Determination (r2) and MSe MSe Σ (yi – (axi+ b))2 Σ (yi – (axi 2+ bxi+ c))2 Σ (yi – (axi3+ bxi2+ cxi +d ))2 Σ (yi – (a + b ln xi ))2 2. Input the value you want for x and then press w This causes the coordinates for After you are finished, press •The Y-CALfunction can also be used with a graph drawn by using DefG feature uRegression Formula Copy Function from a Regression Calculation Result Screen kEstimated Value Calculation (, ) and estimate the values of and when xi = 20 and yi kNormal Probability Distribution Calculation Standard Normal Distribution 175.5 cm tall student fall 2.Input the height data into List 1 and the frequency data into List 3.Perform the single-variablestatistical calculations.*1 2(CALC)6(SET) 1(LIST)bw c2(LIST)cw!J(QUIT) 2(CALC)1(1VAR) kDrawing a Normal Probability Distribution Graph Page 6-5Tests k Z Tests u Z Test Common Functions u 1-Sample Z Test Z = o – ∝0 Page Page u 2-Sample Z Test – o2 Page u 1-Prop Z Test – p0 Z u 2-Prop Z Test p(1– p ) Page k t Tests u t Test Common Functions u 1-Sample t Test t Page u 2-Sample t Test + n2 – df C Page Page u LinearReg t Test Σ( x – o)( y – p) b a = p – bo t = r 6-5-17Tests β G0 & ρ G0 constant term coefficient standard error 6-5-18Tests kχ2 Test Expected counts 3(CHI) Observed 6-5-19Tests χ2 value degrees of freedom You can use the following graph analysis functions after drawing a graph • 1(CHI) ... Displays χ2 value k2-Sample F Test 6-5-21Tests σ1Gσ2 F value mean of sample 1 (Displayed only for Data: List setting.) mean of sample 2 (Displayed only for Data: List setting.) 6-5-22Tests kANOVA One-WayANOVA is used when there is one independent variable and one dependent 5(ANOV) How Many Tests One-WayANOVA Line 1 (A) Factor A df value, SS value, MS value, F value, p-value Line 2 (ERR) kANOVA (Two-Way) uDescription uSolution Page 6-6Confidence Interval u General Confidence Interval Precautions divided by kZ Interval u 1-Sample Z Interval The following is the confidence interval Left = o – Z Right = o + Z u 2-Sample Z Interval Left = (o ) – Z Right = (o1 – o2) + Z Page u 1-Prop Z Interval Left Right u 2-Prop Z Interval Left = x1 – x2 – Z α Right = x1 – x2 + Z α n1, n2 x1 k t Interval u 1-Sample t Interval Left = o– tn – α xσn–1 Right = o+ tn – u 2-Sample t Interval Right = (o1 – o2)+ tn1+n2 –2 n1 + n2 – Left = (o1 – o2)– tdf α x1σn–12 Right = (o1 – o2)+ tdf n1–1 n2–1 Page 6-7Distribution u Common Distribution Functions The following is the general procedure for using the P-CALfunction After drawing a distribution graph, press 2.Input the value you want for x and then press w This causes the kNormal Distribution u Normal Probability Density f (x) 2πσ u Normal Distribution Probability p u Inverse Cumulative Normal Distribution ∫−∞ f (x)dx = p ∫f (x)dx = p Page kStudent-t Distribution u Student-t Probability Density 1(tpd) degrees of freedom (df > 0) Student-t probability density u Student-t Distribution Probability Γ df + Γ 2 π df kχ2 Distribution u χ2 Probability Density 2 x 2 e χ2 probability density u χ2 Distribution Probability kF Distribution u F Probability Density Γ n + d F probability density u F Distribution Probability 1 + d d Page kBinomial Distribution u Binomial Probability f (x) = n C x px (1–p)n – (1– u Binomial Cumulative Density Page kPoisson Distribution u Poisson Probability u Poisson Cumulative Density kGeometric Distribution u Geometric Probability u Geometric Cumulative Density 2(Gcd) TVM 7-1Before Performing Financial Calculations 7-2Simple Interest 7-3Compound Interest 7-4Cash Flow (Investment Appraisal) 7-1Before Performing Financial Calculations kGraphing in the TVM Mode SFV •Zoom, Scroll, and Sketch cannot be used in the TVM mode Note that graphs should be used only for reference purposes when viewing 7-2Simple Interest REPT 7-3Compound Interest log FV = – (PMT ⋅ n + PV ) PV + FV uConverting between the nominal interest rate and effective interest rate When calculating n, PV, PMT, FV i = I%'⎟100 2(CMPD) number of compound periods of savings) PMT payment for each installment (payment in case of loan; PMT 7-4Cash Flow (Investment Appraisal) uPBP PBP n – NPVn NPVn+1 – NPVn Page 7-5Amortization sign BAL INT PRN 7-6Interest Rate Conversion 7-7Cost, Selling Price, Margin 7-8Day/Date Calculations PRD d1+D d1–D 360-dayDate Mode Calculations Programming8 8-1Basic Programming Steps Store the calculation formula under the file name OCTA AS = 2 3 A2, V = ––––A3 1m PRGM 23(NEW)OCTAw*1 (NEW) 8-2PRGM Mode Function Keys uWhen you are inputting a program —— 2(BASE)*1 •{TOP}/{BTM}/{SRC} •{MENU} •{A↔a}/{CHAR} •{JUMP}/{?}/{^} 8-3Editing Program Contents kUsing an Existing Program to Create a New Program Use TETRA as the file name S = 3 A2, V = ––––A3 Use the following key operations when inputting the program Length of One Side A .. !J(PRGM)4(?)aav(A)6(g)5(:) Page k Searching for Data Inside a Program Example To search for the letter “A” inside the program named OCTA 1.Recall the program 2.Press 3(SRC) and input the data you want to find 3(SRC) 8-4File Management kEditing a file name Example To change the name of a file from TRIANGLE to ANGLE kDeleting a Program uTo delete a specific program uTo delete all programs kRegistering a password After inputting the program, press kRecalling a Password Protected Program Example To recall the file named AREA which is protected by the password CASIO In the program list, use 8-5Command Reference Boldface Text Actual commands and other items that always must be input are shown in boldface {Curly Brackets} Curly brackets are used to enclose a number of items ^(Output Command) Function: Displays an intermediate result during program execution : (Multi-statementCommand) Function: Connects two statements for sequential execution without stopping Unlike the output command kProgram Commands (COM) If~Then~(Else~)IfEnd Function: Then <statement <statement Do~LpWhile Parameters: expression While~WhileEnd kProgram Control Commands (CTL) Break Syntax: Break Prog Return Syntax: Return Stop Syntax: Stop kJump Commands (JUMP) Dsz Goto~Lbl Isz ⇒(Jump Code) kClear Commands (CLR) ClrGraph Syntax: ClrGraph ClrList ClrMat kDisplay Commands (DISP) DispF-Tbl, DispR-Tbl No parameters Function: These commands display numeric tables DispF-Tbl DrawRΣ-Con, DrawRΣ-Plt Σan(Σbn or Σcn) as the vertical axis and n as the horizontal axis DrawR DrawStat Function: This draws a statistical graph kInput/Output Commands (I/O) Getkey Syntax: Getkey Locate Example: Cls Receive ( / Send OpenComport38k/CloseComport38k Receive38k/Send38k kConditional Jump Relational Operators (REL) kOther RclCapt 8-6Using Calculator Functions in Programs uTo calculate a scalar multiplication (`Row) uTo add two rows (Row+) Example 4 To add Row 2 to Row 3 of the matrix in Example kUsing Graph Functions in a Program Example Program u Syntax of other graphing functions kUsing Dynamic Graph Functions in a Program •Dynamic Graph range 1 → D Start kUsing Table & Graph Functions in a Program kUsing Recursion Table & Graph Functions in a Program kUsing List Sort Functions in a Program kUsing Solve Calculation Function in a Program 1Solve( 2X2 + 7X – 9, 1, 0, 1) 1K41 is applied during the calculation Input of the closing parenthesis, lower limit Page kPerforming Statistical Calculations Page 8-7PRGM Mode Command List [VARS] key [SHIFT] key BASE Program [SHIFT][MENU](SET UP) key 8-8Program Library Page Program Name Arithmetic-GeometricSequence Differentiation Example 1 5, 10, 15, ... Arithmetic sequence Example 2 5, 10, 20, ... Geometric sequence Page Ellipse Page Rotation Important Page Program Name Interior Angles and Surface Area of a Triangle Page Spreadsheet 9-1Spreadsheet Overview kS • SHT Mode Function Menu OPEN RECAL EDIT CUT SEQ FILL SRT ROW COL •{STO} … {displays the STO submenu} •{VAR} … {assigns the contents of a cell to a variable} •{LIST} … {saves the contents of a range of cells as a list} •{FILE} … {saves the contents of a range of cells as a file} •{MAT} … {saves the contents of a range of cells as a matrix} 9-2File Operations and Re-calculation u To open a file u To delete a file u To save a file under a new name (Save As) 1.In the S • SHT mode, press 1(FILE)3(SV • AS) •This will display a dialog box for entering a file name 2.Enter up to eight characters for the file name, and then press w k About Auto Save 9-3Basic Spreadsheet Screen Operations u To move the cell cursor using the JUMP command To move the cell cursor to Do this: here: A particular cell u To select an entire line u To select an entire column u To select all of the cells in a spreadsheet u To select a range of cells 1.Move the cell cursor to the start cell of the range you want to select 2.Press !i(CLIP) This will cause the cell cursor to change from highlighting to a Selected cells are highlighted 9-4Inputting and Editing Cell Data u To replace a cell’s current contents with new input 1.Move the cell cursor to the cell where you want to input data 2.Input the desired data 3.After everything is the way you want, press w If “Auto Calc” is turned on (page 2.Press 2(EDIT)3(CELL) 3.Edit the data in the edit box 4.After everything is the way you want, press w kInputting a Formula •Values u Formula Input Example u To input formulas kUsing Cell References Relative Cell References Absolute Cell References This cell reference: Does this: kReferencing a Particular Cell u To reference a particular cell 1.Move the cell cursor to cell A2, and then input 2.Press 1(GRAB) To move the cell cursor to here: kReferencing a Range of Cells u To reference a range of cells 5.Press !i(CLIP) You can use the function menu keys 7.To register the range of cells, press 1(SET) •This will input the cell range (A6:B7) 8.Press w to store the formula kInputting the Absolute Reference Symbol ($) u To input the absolute reference symbol kInputting a Constant Constant Displayed Result 7+3 sin kInputting Text Up to six characters can be displayed by the cell kGenerating a Numeric Sequence in a Spreadsheet u To generate a numeric sequence in a spreadsheet To generate a numeric sequence starting from cell A1 using the 3.Enter the required items to generate the sequence • The following describes the required input items Item Expr Function f(x) for generating the sequence kFilling a Range of Cells with the Same Content u To fill a range of cells with the same content 4. Press w 5.Press 6(EXE) or the w key =A1+1 =B1+1 =A2+1 kCut and Paste u How cut and paste affects cell references Let’s say we have a spreadsheet that contains the following data: A1: 4, B1: =A1+1, C1: =B1+2 Cut B1:C1 (left screen) and paste the data in B2:C2 (right screen) A1: 4, B1: =A1+1, C1: = $B$1+2 u To cut and paste spreadsheet data 1.Select the cell(s) you want to cut See “To select a single cell” (page 2.Press 2(EDIT)1(CUT) 4.Press 1(PASTE) kCopy and Paste u To copy and paste spreadsheet data 1.Select the cell(s) you want to copy 2.Press 2(EDIT)2(COPY) After you are finish pasting the data where you want, press kSorting Spreadsheet Data u To sort spreadsheet data Descending: 2(EDIT)6(g)3(SRT•D) •Selecting a sort type will sort the data kDeleting and Inserting Cells u To delete the contents of all the cells in a spreadsheet u To insert lines or columns of blank cells 2.Press 4(INS) to display the INS submenu 3.Use the INS submenu to perform the operation you want To exit the INS submenu without inserting anything, press kClearing Cell Contents 9-5S • SHT Mode Commands kS • SHT Mode Command Reference uCellIf uCellMin uCellMax uCellMean uCellMedian uCellSum uCellProd 9-6Statistical Graphs kConfiguring Graph Parameter Settings u XCellRange (range x-axisdata cells) Cell u YCellRange (range y-axisdata cells) u Frequency (number of times a value occurs) kGraphing Statistical Data u To graph statistical data Example: Input the following data into a spreadsheet, and then draw a scatter diagram Page kConfiguring Range Settings for Graph Data Cells u To change the XCellRange and YCellRange settings manually 1.Press 6(SET) on the GRPH submenu to display the graph settings screen 2.Use the f and c cursor keys to move the highlighting to XCellRange 3.Press 1(CELL) or simply input something kConfiguring the Frequency Setting u To specify the frequency of each data item 9-7Using the CALC Function k Configuring Statistical Calculation Data Settings u 1Var XCell (x-variablecell range for single-variablestatistical calculations) u 1Var Freq (value frequency) u 2Var XCell (x-variablecell range for paired-variablestatistical calculations) u 2Var YCell (y-variablecell range for paired-variablestatistical calculations) k Executing a Statistical Calculation u To execute a statistical calculation 9.Press J2(2VAR) 10.Press J3(REG)1(X) •This will display the linear regression coefficients for the original data 11.Press J to return to the spreadsheet screen 9-8Using Memory in the S • SHT Mode k Saving Spreadsheet Data to List Memory u To save the contents of a range of cells to List Memory 1.Select the range of cells whose data you want to save in List Memory 2.Press 6(g)3(STO)2(LIST) •The “Cell Range” setting will show the range of cells you selected in step u To save the contents of a range of cells to File Memory 1.Select the range of cells whose data you want to save in File Memory 2.Press 6(g)3(STO)3(FILE) 3.Press c to move the highlighting to “File [1~6]” 4.Enter a file number in the range of 1 to 6, and then press w k Recalling Data from Memory The above also applies when pasting data into a spreadsheet k Recalling Data from List Memory u To recall data from a List Memory to a spreadsheet •The “1st Cell” setting will show the name of the cell you selected in step u To recall data from a File Memory to a spreadsheet u To recall data from a Mat Memory to a spreadsheet u To use a variable in a spreadsheet eActivity 10-1eActivity Overview kWorkspace Screen Function Menu k Text Line Function Menu SAVE OPT CAPA STRP kMath Line and Stop Line Function Menu kStrip Function Menu SIZE kBasic eActivity File Operations 1.From the main menu, enter the e • ACT mode 2.Create a new eActivity file 4.Use math lines to enter the expression (2x2 + x – 3 = 0) and solve it 5.Now to draw a graph, insert a Graph strip into the eActivity 6.Graph the expression using the Graph strip 7.Use G-SLVto extract the roots on the graph screen 8.Save the eActivity file 10-2Working with eActivity Files If the file you want to open is in a folder, use •This will open the file If the file you want to delete is in a folder, use 2.Use f and c to highlight the file you want to delete, and then press 3(DEL) u To search for a file 10-3Inputting and Editing eActivity File Data kNavigating around the eActivity Workspace Screen uTo scroll the eActivity workspace screen vertically uTo jump to the top or the bottom of the eActivity workspace screen kUsing a Text Line uTo input into a text line uTo change the current line into a text line uTo insert a text line Perform this key operation: located here: uInputting and Editing Text Line Contents You can input up to 255 bytes of text into a text line. Scroll arrows ) will appear on text that does not right cursor keys •The 5(A↔a) function key toggles between upper-caseand lower-caseinput. This You can input a carriage return into a text line by pressing u To input a calculation formula into an eActivity •“To change the current line into a math line” below •“To insert a math line” (page 10-3-6) 2.Input the expression Example: s$!E(π)cg uTo insert a math line To insert a math line while the cursor is 5(INS)2(CALC) 6(g)3(INS)2(CALC) 3(INS)2(CALC) uStop Line Example 1 and pressing w will produce a result of and then stop B:These math lines are not required to test various values for θ kInserting a Strip Title Field Screen Name Field You can input a strip title up to 16 characters long uTo insert a strip 1.Move the cursor to the location where you want to insert the strip 2.Press 2(STRP) When you want to embed this type of data: Select this type of strip: DYNA mode Dynamic Graph screen Dynamic Graph TVM mode Financial screen Financial S • SHT mode Spreadsheet screen uTo change the title of a strip uTo call up an application from a strip 2.Press w •Also see “Practical Strip Examples” (page 10-3-13)for more information Press !a(') Press !,(,) On the application list that appears, use kPractical Strip Examples uGraph Strip Example This example shows how to create a Graph strip to graph the function y 3.Press w to call up the graph screen 4.Press !6(G↔T) to display the Graph Editor screen 5.Input the function you want to graph (Y1 = X2 in this example) 6.Press 6(DRAW) to graph the function 7.To return to the eActivity workspace screen, press uTable Editor Strip Example uTo create a Table Editor strip 8.Call up the List Editor screen (page 6-1-1) 9.Input the values into List 10.Return to the Table Editor screen 11.When the Table Editor screen appears, press w This generates the number table for the function uTo use copy and paste to draw a graph Perform steps 1 through 7 under “To create a Graph strip” (page 2.Press 3(INS)1(TEXT) to input a text line 3.Enter the following expression into the text line: Y = X2 – See “To specify the copy range” (page kUsing Notes You can perform the following operations on a Notes screen u Input and edit text u Copy and paste text uNotes Screen Function Menu kDeleting an eActivity Line or Strip uTo delete a line or strip 2.Press 6(g)2(DEL • L) k Saving an eActivity File u To replace the existing file with the new version On the eActivity workspace screen, press 1(FILE)1(SAVE) 1.Press 1(FILE)2(SV • AS) 2.Enter up to eight characters for the eActivity file name, and then press w 10-4Using Matrix Editor and List Editor k Calling Up List Editor u To call up List Editor To call up List Editor while the cursor is 6(g)6(g)2('LIST) 6(g)4('LIST) 10-5eActivity File Memory Usage Screen System Settings Menu 11-1Using the System Settings Menu 11-2System Settings k System Language Setting uTo select the Message Language u To select the Menu Language 11-3Version List uTo register a user name 11-4Reset Page Data Communications 12-1Connecting Two Units 12-2Connecting the Unit to a Personal Computer 12-3Performing a Data Communication Operation k Performing a Data Transfer Operation Receiving unit Sending unit MAIN SMEM When 1(MAIN) is pressed When 2(SMEM) is pressed •{SEL} ... {selects new data} •{CRNT} ... {automatically selects previously selected data*1} u To send selected data items (Example: To send user data) uTo execute a send operation Sending Unit k Specifying the Cable Type USB 3PIN k Configuring the Receiver’s Wakeup Feature 12-4Data Communications Precautions <CAPTURE Capture memory group CAPT n Capture memory (1 to 20) data SETUP k Exchanging Data with another Model Calculator 12-5Image Transfer k Auto Image Transfer to an OHP Unit k Connecting to a Projector u Connectable Projectors (As of January 2007) (As of January 2007) u To project calculator screen contents from a projector u Precautions when Connecting 12-6 Add-ins 12-7MEMORY Mode kMemory Information Screen Main Memory Data Name Storage Memory*1 kCreating a Folder in Storage Memory u To create a new folder u To rename a folder k Selecting Data Page kCopying Data u To copy from main memory to storage memory k Error Checks During Data Copy Low battery check Available memory check A “Memory Full” error occurs if there is not enough memory available A “Too Many Data” error occurs when the number of data items is too great Type mismatch error check kDeleting Files u To delete a main memory file u To delete a storage memory file uTo search for a file in the main memory *1 letter “R” u To search for a file in the storage memory •Input the letter “S” for the keyword kBacking Up Main Memory Data u To back up main memory data u To restore backup data to the main memory 4.Press w.*1 Press 1(Yes) to restore the data and delete any data currently in the area Press 6(No) to cancel the data backup operation The message “Complete!” appears when the restore operation is finished Press J to return to the screen displayed in step kOptimizing the Storage Memory u To optimize the storage memory The message “Complete!” appears when the optimize operation is complete Press J to return to the initial MEMORY mode screen Appendix 1 Error Message Table Page Page Page 2 Input Ranges α-2-2 Internal number solutions digits Pol (x, y) Input range 3 Specifications Data Communications 3-pinserial port Method: Transmission speed (BPS): <115200 bits/second 4 Key Index Page Page 5 P Button (In case of hang up) 6 Power Supply α-6-2 k Replacing Batteries Precautions: Be sure that the positive (+) and negative • Never mix batteries of different types α-6-3 1.Press !o(OFF) to turn off the calculator Making sure that you do not accidently press the 4.Remove the four old batteries 6.Replace the back cover uTo replace the memory back up battery α-6-5 (+) side is facing up Next, replace the back cover kAbout the Auto Power Off Function