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E
fx-570MS
fx-991MS
User’s Guide 2
(Additional Functions)
http://world.casio.com/edu_e/
CA 310030-001V08
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Important! Please keep your manual and all information handy for future reference. CASIO ELECTRONICS CO., LTD. Unit 6, 1000 North Circular Road, London NW2 7JD, U.K.
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Contents Before getting started... .......................... 3 kModes .................................................................... 3 Mathematical Expression Calculations and Editing Functions ............................ 4 kReplay Copy .......................................................... 4 kCALC Memory ....................................................... 5 kSOLVE Function .................................................... 5 Scientific Function Calculations............ 6 kInpu
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Vector Calculations ............................... 18 kCreating a Vector ................................................. 19 kEditing Vector Elements....................................... 19 kAdding and Subtracting Vectors .......................... 19 kCalculating the Scalar Product of a Vector .......... 20 kCalculating the Inner Product of Two Vectors ...... 20 kCalculating the Outer Product of Two Vectors ..... 21 kDetermining the Absolute Value of a Vector ........ 21 Metric Conversions
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Before getting started... k Modes Before starting a calculation, you must first enter the correct mode as indicated in the table below. • The following table shows the modes and required operations for the fx-570MS and fx-991MS. fx-570MS and fx-991MS Modes To perform this type of Perform this To enter calculation: key operation: this mode: Basic arithmetic F 1 COMP calculations Complex number F 2 CMPLX calculations Standard deviation SD F F 1 Regression calculations REG F F 2 Base-n calculations
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• Mode indicators appear in the upper part of the display, except for the BASE indicators, which appear in the exponent part of the display. • Engineering symbols are automatically turned off while the calculator is the BASE Mode. •You cannot make changes to the angle unit or other display format (Disp) settings while the calculator is in the BASE Mode. • The COMP, CMPLX, SD, and REG modes can be used in combination with the angle unit settings. •Be sure to check the current calculation mode (SD
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about using multi-statements, see “Multi-statements” in the separate “User’s Guide.” • Only the expressions in replay memory starting from the currently displayed expression and continuing to the last expression are copied. Anything before the displayed expression is not copied. COMP CMPLX k CALC Memory • CALC memory lets you temporarily store a mathematical expression that you need to perform a number of times using different values. Once you store an expression, you can recall it, input values
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1 2 B AC – DC 2 p 2 p u p 1 - p k , R 1 \ 2 T - p h - p k K A I (B?) 14 = (A?) ] (C?) 2 = (D?) 9 l 8 = [ [ (A?) A I •Since the SOLVE function uses Newton’s Method, cer- tain initial values (assumed values) can make it impos- sible to obtain solutions. In this case, try inputting an- other value that you assume to be near the solution and perform the calculation again. • The SOLVE function may be unable to obtain a solution, even though a solution exists. • Due to certain idiosyncrasies o
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•To turn engineering symbols on and off, press the F key a number of times until you reach the setup screen shown below. Disp 1 •Press 1. On the engineering symbol setting screen that appears, press the number key ( 1 or 2) that corre- sponds to the setting you want to use. 1(Eng ON): Engineering symbols on (indicated by “Eng” on the display) 2(Eng OFF): Engineering symbols off (no “Eng” indicator) • The following are the nine symbols that can be used when engineering symbols are turned on. To
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A P 0.9 9 1 m J 900. Complex Number CMPLX Calculations Use the F key to enter the CMPLX Mode when you want to perform calculations that include complex numbers. CMPLX ........................................................... F 2 • The current angle unit setting (Deg, Rad, Gra) affects CMPLX Mode calculations. You can store an expres- sion in CALC memory while in the CMPLX Mode. • Note that you can use variables A, B, C, and M only in the CMPLX Mode. Variables D, E, F, X, and Y
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k Absolute Value and Argument Calculation Supposing the imaginary number expressed by the rectangular form z = a + bi is represented as a point in the Gaussian plane, you can determine the absolute value (r) and argument () of the complex number. The polar form is r. • Example 1: To determine the absolute value (r) and argument () of 3+4i (Angle unit: Deg) (r = 5, = 53.13010235°) Imaginary axis Real axis (r 5) A A R 3 + 4 i T = ( 53.13010235°) A a R 3 + 4 i T = • The complex number ca
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•You select rectangular form (a+bi) or polar form (r) for display of complex number calculation results. ... F 1(Disp) r 1(a+bi):Rectangular form 2(r): Polar form (indicated by “r ” on the display) k Conjugate of a Complex Number For any complex number z where z = a+bi, its conjugate (z) is z = a–bi. • Example: To determine the conjugate of the complex number 1.23 + 2.34i (Result: 1.23 – 2.34i) A S R 1 l 23 + 2 l 34 i T = A r BASE Base-n Calculations Use the F key to enter the BASE Mode w
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•You can use the following logical operators between values in Base-n calculations: and (logical product), or (logical sum), xor (exclusive or), xnor (exclusive nor), Not (bitwise complement), and Neg (negation). • The following are the allowable ranges for each of the available number systems. Binary 1000000000 x 1111111111 0 x 0111111111 Octal 4000000000 x 7777777777 0 x 3777777777 Decimal –2147483648 x 2147483647 Hexadecimal 80000000 x FFFFFFFF 0 x 7FFFFFFF • Examp
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• Example 4: To convert the value 22 to its binary, oc- 10 tal, and hexadecimal equivalents. (10110 , 26 , 16 ) 2 8 16 b Binary mode: t b 0. b 10110. l l l 1(d) 22 = o 26. Octal mode: o H Hexadecimal mode: h 16. • Example 5: To convert the value 513 to its binary 10 equivalent. b 0. Binary mode: t b Mt a h ERROR l l l 1(d) 513 = b •You may not be able to convert a value from a number system whose calculation range is greater than the cal- culation range of the resulting number system. • The mes
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•Input a value from 1 to 4 to select the probability distribution calculation you want to perform. P(t)R Q(t)(t) • Example: To determine the normalized variate (→t) for x = 53 and normal probability distribution P(t) for the following data: 55, 54, 51, 55, 53, 53, 54, 52 (→t = 0.284747398, P(t) = 0.38974 ) 55 S 54 S 51 S 55 S 53 S S 54 S 52 S 53 A D 4(→t) = A D 1( P( ) D 0.28 F = Differential COMP Calculations The procedure described below obtains the derivative of a function. Use the F key to
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•You can omit input of ∆ x, if you want. The calculator automatically substitutes an appropriate value for ∆ x if you do not input one. •Discontinuous points and extreme changes in the value of x can cause inaccurate results and errors. • Select Rad (Radian) for the angle unit setting when performing trigonometric function differential calculations. Integration COMP Calculations The procedure described below obtains the definite integral of a function. Use the F key to enter the COMP Mode when y
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MAT Matrix Calculations The procedures in this section describe how to create matrices with up to three rows and three columns, and how to add, subtract, multiply, transpose and invert matrices, and how to obtain the scalar product, determinant, and absolute value of a matrix. Use the F key to enter the MAT Mode when you want to perform matrix calculations. MAT .....................................................F F F 2 Note that you must create one or more matrices before you can perform matri
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k Editing the Elements of a Matrix Press Aj2(Edit) and then specify the name (A, B, or C) of the matrix you want to edit to display a screen for editing the elements of the matrix. k Matrix Addition, Subtraction, and Multiplication Use the procedures described below to add, subtract, and multiply matrices. 12 • Example: To multiply Matrix A = 4 0 by [ ] –2 5 3–8 5 –1 0 3 Matrix B = –4 0 12 [ ] 2–4 1 ( ) [ ] 12–20 –1 (Matrix A 32) Aj1(Dim)1(A)
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(Matrix C 22) Aj1 (Dim)3(C) 2 = 2 = (Element input) 2 =D 1 =D 5 = 3 = t (3MatC) 3 -Aj3(Mat)3(C)= k Obtaining the Determinant of a Matrix You can use the procedure below to determine the determinant of a square matrix. • Example: To obtain the determinant of 2–1 6 Matrix A = (Result: 73) 50 1 [ ] 32 4 (Matrix A 33) Aj1(Dim)1(A) 3 = 3 = (Element input) 2 =D 1 = 6 = 5 = 0 = 1 = 3 = 2 = 4 = t (DetMatA) Ajr1(Det) Aj3(Mat)1(A)=
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k Inverting a Matrix You can use the procedure below to invert a square matrix. –3 6 –11 • Example: To invert Matrix C = 3–4 6 [ ] 4–8 13 –0.4 1 –0.8 –1.5 0.5 –1.5 ( ) [ ] –0.8 0 –0.6 (Matrix C 33) Aj1(Dim)3(C) 3 = 3 = (Element input) D 3 = 6 =D 11 = 3 =D 4 = 6 = 4 =D 8 = 13 = t –1 (MatC ) Aj3(Mat)3(C)a= • The above procedure results in an error if a non-square matrix or a matrix for which there is no inverse (determinant = 0) is spe
