User manual CASIO FX115-MS

[. . . ] (except for "Modes")/ Basic Calculations/ Memory Calculations/ Scientific Function Calculations/ Equation Calculations/ Statistical Calculations/ Technical Information E-1 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-100MS and fx-115MS. fx-100MS and fx-115MS Modes To perform this type of calculation: Basic arithmetic calculations Complex number calculations Standard deviation Regression calculations Base-n calculations Solution of equations Perform this key operation: To enter this mode: COMP CMPLX SD REG BASE EQN F1 F2 FF1 FF2 FF3 FFF1 · Pressing the F key more than three times displays additional setup screens. Setup screens are described where they are actually used to change the calculator setup. · In this manual, the name of the mode you need to enter in order to perform the calculations being described is indicated in the main title of each section. Example: Complex Number Calculations CMPLX Note! · To return the calculation mode and setup to the initial defaults shown below, press A B 2(Mode) =. [. . . ] E-4 Use the formula below to calculate initial velocity A for a height of B = 14 meters and a time of C = 2 seconds. (Result: A = 16. 8) B AC ­ 1 DC 2 2 (B?) (A?) (C?) (D?) (A?) p2pup1-pk, R1\2T-ph-pkK AI 14 = ] 2= 9l8= [[ AI · The SOLVE function finds approximations based on Newton's method, which means that error can occur. Certain expressions or initial values may result in error without convergence of results. · If an expression does not include an equals sign (=), the SOLVE function produces a solution for expression = 0. Scientific Function Calculations COMP Use the F key to enter the COMP Mode when you want to perform basic arithmetic calculations. F 1 k Inputting Engineering Symbols COMP EQN CMPLX · Turning on engineering symbols makes it possible for you to use engineering symbols inside your calculations. E-5 · 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 corresponds 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 input this symbol: Perform this key operation: Ak k (kilo) M (Mega) AM G (Giga) Ag T (Tera) At m (milli) Am µ (micro) AN n (nano) An p (pico) Ap f (femto) Af Unit 103 106 109 1012 10­3 10­6 10­9 10­12 10­15 · For displayed values, the calculator selects the engineering symbol that makes the numeric part of the value fall within the range of 1 to 1000. 1(Disp) 1 9 \ 10 = 9 1 0. m 900. When engineering symbols are turned on, even standard (non-engineering) calculation results are displayed using engineering symbols. E-6 AP J 9 1 0. 9 m 900. Complex Number Calculations CMPLX Use the F key to enter the CMPLX Mode when you want to perform calculations that include complex numbers. F 2 · The current angle unit setting (Deg, Rad, Gra) affects CMPLX Mode calculations. · Note that you can use variables A, B, C, and M only in the CMPLX Mode. Variables D, E, F, X, and Y are used by the calculator, which frequently changes their values. · The indicator "RI" in the upper right corner of a calculation result display indicates a complex number result. Press A r to toggle the display between the real part and imaginary part of the result. Since complex numbers are stored in replay memory in the CMPLX Mode, however, more memory than normal is used up. · Example: (2 3i) (4 5i) (Real part 6) (Imaginary part 8 i) 6 8i 2+3i+4+5i= Ar E-7 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. · 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) 53. 13010235°) AAR3+4iT= AaR3+4iT= · The complex number can also be input using the polar form r . · Example 2: 2 45 1 i (Angle unit: Deg) L 2 A Q 45 = Ar k Rectangular Form Polar Form Display You can use the operation described below to convert a rectangular form complex number to its polar form, and a polar form complex number to its rectangular form. Press A r to toggle the display between the absolute value (r) and argument ( ). · Example: 1 (Angle unit: Deg) i 1. 414213562 45 1+iAY=Ar L 2 A Q 45 A Z = A r E-8 · You select rectangular form (a+bi) or polar form (r for display of complex number calculation results. 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 = Ar Base-n Calculations BASE Use the F key to enter the BASE Mode when you want to perform calculations using Base-n values. [. . . ] Be sure not to skip this step. Screw E-14 fx-100MS This calculator is powered by a single AA-size battery. · Replacing the Battery Dim figures on the display of the calculator indicate that battery power is low. Continued use of the calculator when the battery is low can result in improper operation. Replace the battery as soon as possible when display figures become dim. · To replace the battery 1 Press A i to turn power off. Screw 2 Remove the six screws that hold the back cover in place and then remove the back cover. [. . . ]