Casio ALGEBRA FX 2.0 Manual Calculations Uživatelský manuál

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Strany 1 - Manual Calculations

19990401Manual Calculations2-1 Basic Calculations2-2 Special Functions2-3 Specifying the Angle Unit and Display Format2-4 Function Calculations2-5 Num

Strany 2 - 2-1 Basic Calculations

19990401u To store a functionExample To store the function (A+B) (A–B) as function memory number 1(av(A)+al(B))(av(A)-al(B))K6(g)5(FMEM)b(Store)bwu To

Strany 3 - Display Range

199904012-2-4Special Functionsu To delete a functionExample To delete the contents of function memory number 1AK6(g)5(FMEM)b(Store)bw•Executing the st

Strany 4 - Basic Calculations

19990401kkkkk Answer FunctionThe Answer Function automatically stores the last result you calculated by pressingw(unless the w key operation results i

Strany 5

19990401k StacksThe unit employs memory blocks, called stacks, for storage of low priority values andcommands. There is a 10-level numeric value stack

Strany 6

19990401k Using MultistatementsMultistatements are formed by connecting a number of individual statements for sequentialexecution. You can use multist

Strany 7

199904012-3 Specifying the Angle Unit and DisplayFormatBefore performing a calculation for the first time, you should use the SET UP screen tospecify

Strany 8 - 2-2 Special Functions

19990401u To specify the number of significant digits (Sci)Example To specify three significant digits2(Sci) dwPress the function key that corresponds

Strany 9 - Function Memory [OPTN]-[FMEM]

199904012-4 Function Calculationsk Function MenusThis calculator includes five function menus that give you access to scientific functions notprinted

Strany 10 - Special Functions

19990401uuuuu Hyperbolic Calculations (HYP) [OPTN]-[HYP]•{sinh}/{cosh}/{tanh} ... hyperbolic {sine}/{cosine}/{tangent}•{sinh–1}/{cosh–1}/{tanh–1} ...

Strany 11

19990401kkkkk Trigonometric and Inverse Trigonometric Functions•Be sure to set the angle unit before performing trigonometric function and inversetrig

Strany 12

199904012-1-1Basic Calculations2-1 Basic Calculationskkkkk Arithmetic Calculations•Enter arithmetic calculations as they are written, from left to rig

Strany 13 - 19990401

19990401k Logarithmic and Exponential Functions•Be sure to specify Comp for Mode in the SET UP screen.Example Operationlog 1.23 (log101.23) = 8.990511

Strany 14

19990401k Hyperbolic and Inverse Hyperbolic Functions•Be sure to specify Comp for Mode in the SET UP screen.Example Operationsinh 3.6 = 18.28545536 K6

Strany 15 - = 0 to 9)

19990401k Other Functions•Be sure to specify Comp for Mode in the SET UP screen.Example Operation + = 3.65028154 !x( )2+!x( )5w25 = 1.755317302!x(

Strany 16

19990401k Random Number Generation (Ran#)This function generates a 10-digit truly random or sequentially random number that is greaterthan zero and le

Strany 17 - 2-4 Function Calculations

199904012-4-8Function Calculationsk Coordinate Conversionuuuuu Rectangular Coordinatesuuuuu Polar Coordinates•With polar coordinates, θ can be calcula

Strany 18 - Function Calculations

199904012-4-9Function Calculationsn! n!nPr = ––––– nCr = –––––––(n – r)! r! (n – r)!k Permutation and Combinationuuuuu Permutationuuuuu Combination•Be

Strany 19

19990401kkkkk Fractions•Fractional values are displayed with the integer first, followed by the numerator and thenthe denominator.•Be sure to specify

Strany 20

199904012-4-11Function Calculationsk Engineering Notation CalculationsInput engineering symbols using the engineering notation menu.•Be sure to specif

Strany 21

199904012-5 Numerical CalculationsThe following describes the items that are available in the menus you use when performingdifferential/ quadratic dif

Strany 22

19990401k Differential Calculations [OPTN]-[CALC]-[d /dx]To perform differential calculations, first display the function analysis menu, and then inpu

Strany 23

199904012-1-2Basic Calculations*1Displayed values are rounded off to the placeyou specify.kkkkk Number of Decimal Places, Number of Significant Digits

Strany 24

19990401Example To determine the derivative at point x = 3 for the functiony = x3 + 4x2 + x – 6, with a tolerance of “tol” = 1E – 5Input the function

Strany 25

19990401u Applications of Differential Calculations•Differentials can be added, subtracted, multiplied and divided with each other.Therefore:•Differen

Strany 26 - (Conversion to fraction)

19990401kkkkk Quadratic Differential Calculations [OPTN]-[CALC]-[d2/dx2]After displaying the function analysis menu, you can input quadratic different

Strany 27

19990401u Quadratic Differential Applications•Arithmetic operations can be performed using two quadratic differentials.Therefore: f ''(a) +

Strany 28 - 2-5 Numerical Calculations

19990401kkkkk Integration Calculations [OPTN]-[CALC]-[∫dx]To perform integration calculations, first display the function analysis menu and then input

Strany 29 - Numerical Calculations

19990401Example To perform the integration calculation for the function shownbelow, with a tolerance of “tol” = 1E - 4∫15 (2x2 + 3x + 4) dxInput the f

Strany 30 - E-14 or less

19990401Note the following points to ensure correct integration values.(1) When cyclical functions for integration values become positive or negative

Strany 31

19990401kkkkk Σ Calculations [OPTN]-[CALC]-[Σ ]To perform Σ calculations, first display the function analysis menu, and then input the valuesshown in

Strany 32

19990401u Σ Calculation Applications•Arithmetic operations using Σ calculation expressionsExpressions:Possible operations: Sn + Tn, Sn – Tn, etc.•Arit

Strany 33

199904012-5-12Numerical Calculationskkkkk Maximum/Minimum Value Calculations [OPTN]-[CALC]-[FMin]/[FMax]After displaying the function analysis menu, y

Strany 34 - f (x)dx is calculated

199904012-1-3Basic CalculationsExample 200 ÷ 7 × 14 = 400Condition Operation Display200/7*14w 4003 decimal places u3(SET UP)cccccccccc1(Fix)dwiw 400.0

Strany 35

199904012-5-13Numerical Calculations#In the function f(x), only X can be used as avariable in expressions. Other variables (Athrough Z, r, θ) are trea

Strany 36

199904012-6 Complex Number CalculationsYou can perform addition, subtraction, multiplication, division, parentheses calculations,function calculations

Strany 37

199904012-6-2Complex Number Calculationskkkkk Absolute Value and Argument [OPTN]-[CPLX]-[Abs]/[Arg]The unit regards a complex number in the format Z =

Strany 38

19990401kkkkk Conjugate Complex Numbers [OPTN]-[CPLX]-[Conjg]A complex number of the format a + bi becomes a conjugate complex number of the formata –

Strany 39

19990401kkkkk Polar Form and Rectangular Transformation [OPTN]-[CPLX]-['''''re^θi]Use the following procedure to transform a

Strany 40

199904012-7 Binary, Octal, Decimal, and HexadecimalCalculationsYou can use the RUN • MAT Mode and binary, octal, decimal, and hexadecimal settings top

Strany 41 - Complex Number Calculations

19990401• The following are the calculation ranges for each of the number systems.Binary ValuesPositive: 0 < x < 111111111111111Negative: 100000

Strany 42 - Real number axis

19990401kkkkk Selecting a Number SystemYou can specify decimal, hexadecimal, binary, or octal as the default number system usingthe set up screen. Aft

Strany 43

19990401Example 2 To input and execute 1238 × ABC16, when the default number system isdecimal or hexadecimalu3(SET UP)2(Dec)iA1(d~o)e(o)bcd*1(d~o)c(h)

Strany 44

19990401Example 2 To display the result of “368 or 11102” as an octal valueu3(SET UP)5(Oct)iAdg2(LOGIC)e(or)1(d~o)d(b)bbbawExample 3 To negate 2FFFED1

Strany 45 - Calculations

199904012-1-4Basic Calculations7 Abbreviated multiplication format in front of Type B functions2 , A log2, etc.38 Permutation, combination nPr, nCr9

Strany 46

199904012-8-1Matrix Calculations2-8 Matrix CalculationsFrom the Main Menu, enter the RUN • MAT Mode, and press 1(MAT) to perform Matrixcalculations.26

Strany 47 - 2 + 110102

19990401k Inputting and Editing MatricesPressing 1(MAT) displays the matrix editor screen. Use the matrix editor to input and editmatrices.• {DIM} ..

Strany 48 - u Negative Values

19990401u To input cell valuesExample To input the following data into Matrix B :123456c (Selects Mat B.)wbwcwdwewfwgw(Data is input into the highlig

Strany 49 - Number System Transformation

19990401uDeleting MatricesYou can delete either a specific matrix or all matrices in memory.u To delete a specific matrix1. While the Matrix list is

Strany 50 - 2-8 Matrix Calculations

19990401k Matrix Cell OperationsUse the following procedure to prepare a matrix for cell operations.1. While the Matrix list is on the display, use f

Strany 51 - Creating a Matrix

19990401uuuuu To calculate the scalar product of a rowExample To calculate the scalar product of row 2 of the following matrix,multiplying by 4 :12M

Strany 52 - Matrix Calculations

19990401u To add two rows togetherExample To add row 2 to row 3 of the following matrix :12Matrix A = 34562(R-OP)e(Row+)Specify number of row to be ad

Strany 53 - Deleting Matrices

19990401u To insert a rowExample To insert a new row between rows one and two of the followingmatrix :12Matrix A = 3456c4(R • INS)u To add a rowExamp

Strany 54 - Row Calculations

199904012-8-9Matrix CalculationsuColumn Operations• {C • DEL} ... {delete column}• {C • INS} ... {insert column}• {C • ADD} ... {add column}u To del

Strany 55

19990401u To add a column Example To add a new column to the right of column 2 of the followingmatrix :12Matrix A = 3456e6(g)3(C • ADD)k Modifying Ma

Strany 56 - Row Operations

199904012-1-5Basic Calculations# Other errors can occur during programexecution. Most of the calculator’s keysare inoperative while an error message i

Strany 57

19990401u Matrix Data Input Format [OPTN]-[MAT]-[Mat]The following shows the format you should use when inputting data to create a matrix usingthe Mat

Strany 58 - Column Operations

19990401u To input an identity matrix [OPTN]-[MAT]-[Ident]Use the Identity command to create an identity matrix.Example 2 To create a 3 × 3 identity m

Strany 59

19990401uModifying Matrices Using Matrix CommandsYou can also use matrix commands to assign values to and recall values from an existingmatrix, to fil

Strany 60 - Matrix name

19990401uuuuu To fill a matrix with identical values and to combine two matrices into asingle matrix[OPTN]-[MAT]-[Fill]/[Augmnt]Use the Fill command t

Strany 61

19990401uuuuu To assign the contents of a matrix column to a list[OPTN]-[MAT]-[M→List]Use the following format with the Mat→List command to specify a

Strany 62

19990401k Matrix Calculations [OPTN]-[MAT]Use the matrix command menu to perform matrix calculation operations.u To display the matrix commands1. Fro

Strany 63

19990401uMatrix Arithmetic Operations [OPTN]-[MAT]-[Mat]Example 1 To add the following two matrices (Matrix A + Matrix B) :A =11B =2321 21AK2(MAT)b(Ma

Strany 64

19990401uDeterminant [OPTN]-[MAT]-[Det]Example Obtain the determinant for the following matrix :123Matrix A = 456–1 –2 0K2(MAT)d(Det)2(MAT)b(Mat)av(A)

Strany 65

19990401uMatrix Inversion [OPTN]-[MAT]-[x–1]Example To invert the following matrix :Matrix A =1234K2(MAT)b(Mat)av(A)!) (x–1) wuSquaring a Matrix [OPTN

Strany 66 - Number of rows and columns

19990401uRaising a Matrix to a Power [OPTN]-[MAT]-[ ]Example To raise the following matrix to the third power :Matrix A =1234K2(MAT)b(Mat)av(A)MdwuDe

Strany 67

19990401•When you try to perform a calculation that causes memory capacity to be exceeded(Memory ERROR).•When you use a command that requires an argum

Strany 68

19990401

Strany 69 - Maximum Integer of a Matrix

199904012-2 Special Functionskkkkk Calculations Using VariablesExample Operation Display193.2aav(A)w 193.2193.2 ÷ 23 = 8.4 av(A)/23w 8.4193.2 ÷ 28 = 6

Strany 70

19990401u To display the contents of a variableExample To display the contents of variable AAav(A)wu To cl ear a variableExample To clear variable AAa

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