Casio fx-100MS User manual

Ehttp://world.casio.com/edu_e/
f
x-100MS
f
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

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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

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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, 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

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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: 58 ), and when X = 8 (Result: 76 ).
(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.

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COMP
1
2
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
AI
(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

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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
1
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
0.
Eng
9 \10 =
900.
9 ⫼1 m
When engineering symbols are turned on, even standard (non-engineering)
calculation results are displayed using engineering symbols.

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CMPLX
AP
0.9
J
900.
9 ⫼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)
6  8 i
(Real part 6)2 +3 i+4 +5 i=
(Imaginary part 8i)Ar

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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= 5 , ␪ = 53.13010235 °)
(r 5 )AAR3 +4 iT=
( ␪  53.13010235 °)AaR3 +4 iT=
•The complex number can also be input using the polar
form r⬔
␪ .
•Example 2: 2 ⬔45 
1 i
(Angle unit: Deg) L2 AQ45 =
Ar
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