Casio fx-3950P, fx-3650P User Manual

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Casio fx-3950P, fx-3650P User Manual

fx-3650P fx-3950P

User's Guide Guía del usuario

 

 

 

 

E S

http://world.casio.com/edu_e/

CASIO ELECTRONICS CO., LTD.

Unit 6, 1000 North Circular Road,

London NW2 7JD, U.K.

ENGLISH

E-1

Safety Precautions

Be sure to read the following safety precautions before using this calculator. Keep this manual handy for later reference.

Caution

This symbol is used to indicate information that can result in personal injury or material damage if ignored.

Batteries

After removing the battery from the calculator, put it in a safe place where it will not get into the hands of small children and accidentally swallowed.

Keep batteries out of the reach of small children. If accidentally swallowed, consult with a physician immediately.

Never charge batteries, try to take batteries apart, or allow batteries to become shorted. Never expose batteries to direct heat or dispose of them by incineration.

Misuse of batteries can cause them to leak and damage nearby items, and can create the risk of fire and personal injury.

Always make sure that the battery’s positive k and negative l ends are facing correctly when you load it into the calculator.

Remove the battery if you do not plan to use the calculator for a long time (fx-3950P).

Use only the type of battery specified for this calculator in this manual.

Disposing of the Calculator

Never dispose of the calculator by burning it. Doing so can cause certain components to suddenly burst, creating the risk of fire and personal injury.

The displays and illustrations (such as key markings) shown in this User’s Guide are for illustrative purposes only, and may differ somewhat from the actual items they represent.

The contents of this manual are subject to change without notice.

E-2

In no event shall CASIO Computer Co., Ltd. be liable to anyone for special, collateral, incidental, or consequential damages in connection with or arising out of the purchase or use of these materials. Moreover, CASIO Computer Co., Ltd. shall not be liable for any claim of any kind whatsoever against the use of these materials by any other party.

Handling Precautions

Be sure to press the 5 key before using the calculator for the first time.

Even if the calculator is operating normally, replace the battery at least once every three years.

A dead battery can leak, causing damage to and malfunction of the calculator. Never leave a dead battery in the calculator.

The battery that comes with this unit discharges slightly during shipment and storage. Because of this, it may require replacement sooner than the normal expected battery life.

Low battery power can cause memory contents to become corrupted or lost completely. Always keep written records of all important data.

Avoid use and storage in areas subjected to temperature extremes.

Very low temperatures can cause slow display response, total failure of the display, and shortening of battery life. Also avoid leaving the calculator in direct sunlight, near a window, near a heater or anywhere else it might be exposed to very high temperatures. Heat can cause discoloration or deformation of the calculator’s case, and damage to internal circuitry.

Avoid use and storage in areas subjected to large amounts of humidity and dust.

Take care never to leave the calculator where it might be splashed by water or exposed to large amounts of humidity or dust. Such conditions can damage internal circuitry.

Never drop the calculator or otherwise subject it to strong impact.

E-3

Never twist or bend the calculator.

Avoid carrying the calculator in the pocket of your trousers or other tightfitting clothing where it might be subjected to twisting or bending.

Never try to take the calculator apart.

Never press the keys of the calculator with a ballpoint pen or other pointed object.

Use a soft, dry cloth to clean the exterior of the calculator.

If the calculator becomes very dirty, wipe it off with a cloth moistened in a weak solution of water and a mild neutral household detergent. Wring out all excess moisture before wiping the calculator. Never use thinner, benzene or other volatile agents to clean the calculator. Doing so can remove printed markings and can damage the case.

E-4

Contents

Safety Precautions .......................................................

2

Handling Precautions ..................................................

3

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

7

kKey Markings .......................................................................................

7

kModes ..................................................................................................

8

kInput Capacity ......................................................................................

9

kMaking Corrections During Input .........................................................

9

kReplay Function ...................................................................................

9

kError Locator ......................................................................................

10

kExponential Display Formats .............................................................

10

kInitializing the Calculator (Reset Operation) ......................................

11

Basic Calculations .....................................................

11

kArithmetic Calculations ......................................................................

11

kFraction Operations ...........................................................................

12

kPercentage Calculations ....................................................................

13

kDegrees, Minutes, Seconds Calculations ..........................................

14

kFIX, SCI, RND ...................................................................................

14

Memory Calculations .................................................

15

kAnswer Memory .................................................................................

16

kConsecutive Calculations ..................................................................

16

kIndependent Memory .........................................................................

16

kVariables ............................................................................................

17

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

17

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

18

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

18

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

19

Base-n Calculations ...................................................

19

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

21

kTrigonometric/Inverse Trigonometric Functions .................................

21

kHyperbolic/Inverse Hyperbolic Functions ..........................................

22

kCommon and Natural Logarithms/Antilogarithms ..............................

22

E-5

kSquare Roots, Cube Roots, Roots, Squares, Cubes, Reciprocals,

 

Factorials, Random Numbers, π, and Permutation/Combination .......

23

kAngle Unit Conversion .......................................................................

24

kCoordinate Conversion (Pol (x, y), Rec (r, θ )) ..................................

24

kEngineering Notation Calculations .....................................................

25

Statistical Calculations ..............................................

25

Standard Deviation ................................................................................

25

Regression Calculations ........................................................................

28

Differential Calculations ............................................

34

Integration Calculations ............................................

34

Programming a Calculation ......................................

35

Storing a Program ..................................................................................

36

kEditing a Program ..............................................................................

38

Executing a Program .............................................................................

38

Deleting a Program ................................................................................

40

Useful Program Commands ...................................................................

40

kProgram Command Menus ................................................................

40

kUnconditional Jump ...........................................................................

41

kConditional Jump Using a Relational Operator ..................................

42

kOther Program Statements ................................................................

42

Statistical Data Memory and Program Memory .......

44

kStatistical Data ...................................................................................

44

kPrograms ...........................................................................................

45

Technical Information ................................................

46

kWhen you have a problem...... ...........................................................

46

kError Messages .................................................................................

46

kOrder of Operations ...........................................................................

47

kStacks ................................................................................................

49

kInput Ranges .....................................................................................

50

Power Supply ..............................................................

52

Specifications .............................................................

54

Practical Examples ..................................................

A-1

kProgram Library ...............................................................................

A-1

E-6

Before getting started...

kKey Markings

Many of the calculator’s keys are used to perform more than one function. The functions marked on the keyboard are color coded to help you find the one you need quickly and easily.

 

 

M– M

 

 

 

 

 

 

A

 

 

 

 

 

 

 

 

 

 

 

DT

 

CL

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Function

Color

Key Operation

1

M+

 

 

 

 

 

|

 

 

 

 

 

 

 

 

2

M–

Orange

A |

 

 

 

 

 

 

 

Press A and then the key to perform

 

 

 

 

 

 

 

the marked function.

 

 

 

 

3

M

Red

p |

 

 

 

 

 

 

 

Press p and then the key to perform

 

 

 

 

 

 

 

the marked function.

 

 

 

 

4

DT

Blue

In the SD and REG Modes:

 

 

 

 

 

 

 

|

 

 

 

 

 

 

 

 

 

 

 

 

5

CL

Orange

In the SD and REG Modes:

 

 

In blue

A |

 

 

Press A and then the key to perform

 

 

brackets

 

 

the marked function.

 

 

 

 

 

 

 

 

 

 

 

6

 

Orange

In the CMPLX Mode:

 

 

In purple

A D

 

 

Press A and then the key to perform

 

 

brackets

 

 

the marked function.

 

 

 

 

 

 

 

 

 

 

 

7

A

Red

p D

 

 

In green

Press p and then the key to

 

 

specify variable A.

 

 

brackets

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

D

 

 

 

 

 

 

 

In the BASE Mode, press the key

 

 

 

 

 

 

 

without pressing p.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

E-7

kModes

Before starting a calculation, you must first enter the correct mode as indicated in the table below.

To perform this type of

Perform this

To enter

operation:

key operation:

this mode:

 

 

 

Basic arithmetic calculations

F 1

COMP

 

 

 

Complex number calculations

F 2

CMPLX

Standard deviation

F F 1

SD

 

 

 

Regression calculations

F F 2

REG

Base-n calculations

F F 3

BASE

Program editing

F F F 1

PRGM

Program execution

F F F 2

RUN

Program deletion

F F F 3

PCL

 

 

 

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 B2(Mode) <.

Calculation Mode:

COMP

Angle Unit:

Deg

Exponential Display Format:

Norm 1

Complex Number Display Format: a+b i

Fraction Display Format:

ab/c

Mode indicators appear in the upper part of the display, except for the BASE indicators, which appear in the exponent part of the display.

E-8

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.

kInput Capacity

The memory area used for calculation input can hold 79 “steps.” One step

is taken up each time you press a number key or arithmetic operator key ( +, ,, -, \ ). A A or p key operation does not take up a step, so inputting A D, for example, takes up only one step.

You can input up to 79 steps for a single calculation. Whenever you input the 73rd step of any calculation, the cursor changes from “_” to “k” to let you know memory is running low. If you need to input more than 79 steps, you should divide your calculation into two or more parts.

Pressing the g key recalls the last result obtained, which you can use in

a subsequent calculation. See “Answer Memory” for more information about using the g key.

kMaking Corrections During Input

Use e and r to move the cursor to the location you want.

Press [ to delete the number or function at the current cursor position.

Press A K to change to an insert cursor t. Inputting something while the insert cursor is on the display inserts the input at the insert cursor position.

Pressing A K, or <returns to the normal cursor from the insert cursor.

kReplay Function

Every time you perform a calculation, the replay function stores the calculation formula and its result in replay memory. Pressing the [key displays the formula and result of the calculation you last performed. Pressing [again back steps sequentially (new-to-old) through past calculations.

E-9

Pressing the e or r key while a replay memory calculation is on the display changes to the editing screen.

Pressing the e or r key immediately after you finish a calculation displays the editing screen for that calculation.

Pressing t does not clear replay memory, so you can recall the last calculation even after you press t.

Replay memory capacity is 128 bytes for storage of both expressions and results.

Replay memory is cleared by any of the following actions. When you press the 5 key

When you initialize modes and settings by pressing A B2 (or 3) < When you change from one calculation mode to another

When you turn off the calculator.

kError Locator

Pressing r or e after an error occurs displays the calculation with the cursor positioned at the location where the error occurred.

kExponential Display Formats

This calculator can display up to 10 digits. Larger values are automatically displayed using exponential notation. In the case of decimal values, you can select between two formats that determine at what point exponential notation is used.

To change the exponential display format, press the F key a number of times until you reach the exponential display format setup screen shown below.

F i x Sc i No r m

1 2 3

Press 3. On the format selection screen that appears, press 1 to select Norm 1 or 2 for Norm 2.

E-10

u Norm 1

With Norm 1, exponential notation is automatically used for integer values with more than 10 digits and decimal values with more than two decimal places.

u Norm 2

With Norm 2, exponential notation is automatically used for integer values with more than 10 digits and decimal values with more than nine decimal places.

All of the examples in this manual show calculation results using the Norm 1 format.

kInitializing the Calculator (Reset Operation)

Performing the key operation below initializes the calculation mode and setup, and clears replay memory, variables, and all programs.

A B3(All) <

Basic Calculations

COMP

kArithmetic Calculations

Use the F key to enter the COMP Mode when you want to perform basic calculations.

COMP ............................................................................................

F 1

 

 

Example 1: 3 (5 10–9) 1.5 10–8

3 - 5 e D 9 <

Example 2: 5 (9 7) 80

5 - R9 + 7 T<

• You can skip all T operations before <.

 

E-11

kFraction Operations

u Fraction Calculations

Values are displayed in decimal format automatically whenever the total number of digits of a fractional value (integer + numerator + denominator + separator marks) exceeds 10.

Example 1:

2

 

 

 

 

 

 

1

 

 

13

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2 C 3

+ 1

C 5 <

 

13

 

 

15.00

 

 

3

1

 

5

 

2

15

 

11

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Example 2: 3

 

 

1

 

4

3

C 1

C 4 +

 

 

 

 

 

 

 

 

 

 

4

 

3

 

12

 

 

 

 

 

 

 

 

 

Example 3:

 

2

 

1

 

 

 

 

1

C 2

C 3 <

 

4

 

 

11

 

 

12.00

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2 C 4

<

 

4

 

2

 

 

 

 

 

 

 

 

 

 

Example 4:

 

1

 

 

1.6

2.1

 

 

 

 

1 C 2 + 1.6

<

 

2

 

 

 

 

 

 

Results of calculations that mix fraction and decimal values are always decimal.

u Decimal Fraction Conversion

Use the operation shown below to convert calculation results between decimal values and fraction values.

Note that conversion can take as long as two seconds to perform.

Example 1: 2.75 2

3

(Decimal Fraction)

 

 

 

 

 

 

 

4

 

 

 

 

 

 

 

 

 

 

 

2.75 <

2.75

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

11

C

2

 

3

 

4.00

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

AB

11

 

4.00

Example 2:

1

4

 

 

 

 

 

 

 

 

 

 

 

0.5 (Fraction Decimal)

 

 

 

 

 

 

 

2

 

 

 

 

 

 

 

 

 

 

1 C 2 <

 

 

 

 

 

 

 

 

 

 

 

 

1

 

 

2.00

 

 

 

 

C

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

0.500

 

 

 

 

C

 

 

 

 

 

 

 

 

 

 

 

1

 

 

2.00

 

 

 

 

 

 

 

 

 

 

 

 

E-12

u Mixed Fraction Improper Fraction Conversion

Example: 1

2

5

1 C 2 C 3 <

 

 

 

 

 

 

 

1

 

 

2

 

 

3.00

3

3

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

A B

 

5

 

 

3.00

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

A B

1

 

 

2

 

 

3.00

 

 

 

 

 

 

 

 

 

 

 

 

You can use the display setup (Disp) screen to specify the display format when a fraction calculation result is greater than one.

To change the fraction display format, press the q key a number of times until you reach the setup screen shown below.

D i s p

1

Display the selection screen.

1 (or 1 r in the CMPLX Mode)

Press the number key (1 or 2) that corresponds to the setting you want to use.

1(ab/c): Mixed fraction

2(d/c): Improper fraction

An error occurs if you try to input a mixed fraction while the d/c display format is selected.

kPercentage Calculations

Example 1: To calculate 12% of 1500

(180)

1500 - 12 A v

Example 2: To calculate what percentage of 880 is 660 (75%)

 

 

660 \ 880 A v

Example 3: To add 15% onto 2500 (2875)

2500 - 15 A v +

Example 4: To discount 3500 by 25%

(2625)

3500 - 25 A v ,

Example 5: To discount the sum of 168, 98, and 734 by 20% (800)

168 + 98 + 734 <g A j 1 p 1 - 20 A v ,

*

E-13

*As shown here, if you want to use the current Answer Memory value in a mark up or discount calculation, you need to assign the Answer Memory value into a variable and then use the variable in the mark up/ discount calculation. This is because the calculation performed when vis pressed stores a result to Answer Memory before the ,key is pressed.

Example 6: If 300 grams are added to a test sample originally weighing

500 grams, what is the percentage increase in weight?

(160%)

 

300 + 500 A v

Example 7: What is the percentage change when a value is increased

from 40 to 46? How about to 48?

(15%, 20%)

 

46 , 40 A v

e e e e e e 8 <

kDegrees, Minutes, Seconds Calculations

You can perform sexagesimal calculations using degrees (hours), minutes, and seconds, and convert between sexagesimal and decimal values.

Example 1: To convert the decimal value 2.258 to a sexagesimal value and then back to a decimal value

2.258 <

2.258

 

 

A O

2°15°28.8

 

 

I

2.258

Example 2: To perform the following calculation: 12°34’56” 65°43’21” 12 I 34 I 56 I

+ 65 I 43 I 21 I < 78°18°17

kFIX, SCI, RND

To change the settings for the number of decimal places, the number of significant digits, or the exponential display format, press the F key a number of times until you reach the setup screen shown below.

F i x Sc i No r m

1 2 3

E-14

Press the number key (1, 2, or 3) that corresponds to the setup item you want to change.

1(Fix):

Number of decimal places

 

2(Sci):

Number of significant digits

 

3(Norm): Exponential display format

 

Example 1: 200 7 14

200 \ 7 - 14 <

 

400.00

 

 

.....

 

(Specifies three decimal places.)

FIX

F 1(Fix) 3

400.00000

 

200 \ 7 <

 

(Internal calculation continues using 12 digits.)

28.57100

 

 

- 14 <

 

 

 

400.00000

The following performs the same calculation using the specified number of decimal places.

 

200 \ 7

<

28.57100

(Internal rounding)

A Q

 

28.57100

 

- 14

<

 

 

399.99400

Press F.....3(Norm) 1 to clear the Fix specification.

Example 2: 1 3, displaying result with two significant digits (Sci 2)

.....

\3 <

SCI

01

F 2(Sci) 21

3.3

 

 

×10

• Press F.....3(Norm) 1 to clear the Sci specification.

Memory Calculations

COMP

Use the F key to enter the COMP Mode when you want to perform a calculation using memory.

COMP ............................................................................................

F 1

E-15

kAnswer Memory

Whenever you press <after inputting values or an expression, the calculated result automatically updates Answer Memory contents by storing the result.

In addition to <, Answer Memory contents are also updated with result whenever you press A v, |, A {, or A jfollowed by a letter (A

through D, or M, X, or Y).

You can recall Answer Memory contents by pressing g.

Answer Memory can store up to 12 digits for the mantissa and two digits for the exponent.

Answer Memory contents are not updated if the operation performed by any of the above key operations results in an error.

kConsecutive Calculations

You can use the calculation result that is currently on the display (and also stored in Answer Memory) as the first value of your next calculation. Note that pressing an operator key while a result is displayed causes the displayed value to change to Ans, indicating it is the value that is currently stored in Answer Memory.

The result of a calculation can also be used with a subsequent Type A function (x2, x3, x–1, x!, DRG'), +, –, ^(xy), x , , , nPr and nCr.

kIndependent Memory

Values can be input directly into memory, added to memory, or subtracted from memory. Independent memory is convenient for calculating cumulative totals.

Independent memory uses the same memory area as variable M.

To clear independent memory (M), input 0 A j 3.

Example: 23

9

32

23 + 9 A j

3

53

6

47

53 , 6

|

) 45 2 90

45 - 2 A {

 

(Total)

–11

0 3

E-16

kVariables

There are seven variables (A through D, M, X and Y), which can be used to store data, constants, results, and other values.

Use the following operation to delete data assigned to a particular variable: 0 A j1. This operation deletes the data assigned to

variable A.

Perform the following key operation when you want to clear the values assigned to all of the variables.

A B1(Mcl) <

Example: 193.2

23 8.4

193.2 A j 1

\ 23

<

193.2

28 6.9

p 1

\ 28

<

Complex Number Calculations CMPLX

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.

Note that you can use variables A, B, C, and M only in the CMPLX Mode. You cannot use variables D, X, and Y.

The indicator “RI” in the upper right corner of a calculation result display indicates a complex number result. Press A rto 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 5 i) 6 8i

(Real part 6)

2 + 3 i+ 4 + 5 i<

(Imaginary part 8 i)

A r

E-17

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