Casio Fx-100MS User manual

Ehttp://world.casio.com/edu_e/

x-100MS

x-115MS (fx-912MS)

User’s Guide 2

(

Additional Functions)

kfx-912MS owners

Please be sure to read the important notice of this manual.

CASIO ELECTRONICS CO., LTD.

Unit 6, 1000 North Circular Road,

London NW2 7JD, U.K.

Please keep your manual and all information handy for

future reference.

Important!

E-1

Contents

Before getting started... .......................... 2

kModes .................................................................... 2

Mathematical Expression Calculations

and Editing Functions ............................ 3

kReplay Copy ........................................................... 3

kCALC Memory ....................................................... 4

kSOLVE Function .................................................... 4

Scientific Function Calculations............ 5

kInputting Engineering Symbols .............................. 5

Complex Number Calculations .............. 7

kAbsolute Value and Argument Calculation ............. 8

kRectangular Form ↔Polar Form Display .............. 8

kConjugate of a Complex Number .......................... 9

Base-nCalculations ................................ 9

Statistical Calculations ......................... 11

Normal Distribution .................................................. 11

Differential Calculations ....................... 12

Integration Calculations ....................... 13

Power Supply ......................................... 14

Specifications ........................................ 16

See the “fx-95MS/fx-100MS/fx-115MS/fx-570MS/fx-

991MS User’s Guide” for details about the following items.

Removing and Replacing the Calculator’s Cover/

Safety Precautions/ Handling Precautions/

Tw o -line Display/

Before getting started... (except for “Modes”)/

Basic Calculations/ Memory Calculations/

Scientific Function Calculations/ Equation Calculations/

Statistical Calculations/ Technical Information

E-2

Before getting started...

kModes

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

• Pressing the Fkey 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:

To perform this type of Perform this To enter

calculation: key operation: this mode:

Basic arithmetic F1COMP

calculations

Complex number F2CMPLX

calculations

Standard deviation FF1SD

Regression calculations FF2REG

Base-ncalculations FF3BASE

Solution of equations FFF1EQN

CMPLX

Complex Number

Calculations

Note!

• To return the calculation mode and setup to the initial

defaults shown below, press AB2(Mode) =.

Calculation Mode: COMP

Angle Unit: Deg

Exponential Display Format: Norm 1, Eng OFF

Complex Number Display Format: a+bi

Fraction Display Format: ab/c

Decimal Point Character: Dot

E-3

•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, REG,

COMP, CMPLX) and angle unit setting (Deg, Rad, Gra)

before beginning a calculation.

Mathematical Expression

Calculations and Editing

Functions

Use the Fkey to enter the COMP Mode when you

want to perform mathematical expression calculations

or edit expressions.

COMP ............................................................ F1

kReplay Copy

Replay copy lets you recall multiple expressions from replay

so they are connected as a multi-statement on the screen.

•Example:

Replay memory contents:

1 + 1

2 + 2

3 + 3

4 + 4

5 + 5

6 + 6

Multi-statement: 4 + 4:5 + 5:6 + 6

Use [and ]to display the expression 4 + 4.

Press A[(COPY).

COMP

E-4

COMP

CMPLX

•You can also edit expressions on the display and per-

form other multi-statement operations. For more details

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.

kCALC 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 for its variables, and

calculate a result quickly and easily.

•You can store a single mathematical expression, with up

to 79 steps. Note that CALC memory can be used in the

COMP Mode and CMPLX Mode only.

•The variable input screen shows the values currently

assigned to the variables.

•Example: Calculate the result for Y = X2+ 3X – 12

when X = 7 (Result:

), and when X = 8 (Result:

(Input the function.)

pypupxK+3 px,12

(Store the expression.) C

(Input 7 for X? prompt.) 7 =

(Input 8 for X? prompt.) C8 =

•Note that the expression you store is cleared whenever

you start another operation, change to another mode, or

turn off the calculator.

kSOLVE Function

The SOLVE function lets you solve an expression using

variable values you want, without the need to transform or

simply the expression.

•Example: C is the time it would take for an object thrown

straight up with initial velocity A to reach height B.

E-5

COMP

Use the formula below to calculate initial velocity A for a

height of B = 14 meters and a time of C = 2 seconds.

Gravitational acceleration is D = 9.8 m/s2.

(Result: A =

16.8

)

B AC – DC2

p2pup1-pk,

R1 \2 T-ph-pkK

(B?) 14 =

(A?) ]

(C?) 2 =

(D?) 9 l8 =

[[

(A?) 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

Use the Fkey to enter the COMP Mode when you

want to perform basic arithmetic calculations.

COMP ............................................................ F1

kInputting Engineering Symbols

•Turning on engineering symbols makes it possible for

you to use engineering symbols inside your calculations.

COMP EQN

CMPLX

E-6

To input this symbol: Perform this key operation: Unit

k (kilo) Ak103

M (Mega) AM106

G (Giga) Ag109

T (Tera) At1012

m (milli) Am10–3

µ(micro) AN10–6

n (nano) An10–9

p (pico) Ap10–12

f (femto) Af10–15

Disp

•To turn engineering symbols on and off, press the F

key a number of times until you reach the setup screen

shown below.

•Press 1. On the engineering symbol setting screen that

appears, press the number key (

1or 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.

•For displayed values, the calculator selects the engineer-

ing symbol that makes the numeric part of the value fall

within the range of 1 to 1000.

•Engineering symbols cannot be used when inputting frac-

tions.

•Example: 9 10 = 0.9 m (milli)

F..... 1(Disp) 1

Eng

9 \10 =

900.

⫼1 m

When engineering symbols are turned on, even standard (non-engineering)

calculation results are displayed using engineering symbols.

E-7

CMPLX

0.9

900.

⫼1 m

Complex Number

Calculations

Use the Fkey to enter the CMPLX Mode when you

want to perform calculations that include complex

numbers.

CMPLX ........................................................... F2

•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 are used

by the calculator, which frequently changes their values.

You should not use these variables in your expressions.

•The indicator “R↔I” in the upper right corner of a

calculation result display indicates a complex number

result. Press Arto toggle the display between the

real part and imaginary part of the result.

•You can use the replay function in the CMPLX Mode.

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)2 +3 i+4 +5 i=

(Imaginary part 8i)Ar

E-8

Imaginary axis

Real axis

kAbsolute 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=

␪

53.13010235

°)

(r

)AAR3 +4 iT=

(

␪



53.13010235

°)AaR3 +4 iT=

•The complex number can also be input using the polar

form r⬔

␪

•Example 2: 2 ⬔45 

i

(Angle unit: Deg) L2 AQ45 =

kRectangular 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

Arto toggle the display between the absolute value

(r) and argument (

␪

•Example: 1

i↔

1.414213562 ⬔45

(Angle unit: Deg) 1 +iAY=Ar

L2 AQ45 AZ=Ar

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