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Casio CFX-9970G Manual

20. algebraic expressions
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Chapter
Algebraic Expressions
The ALGBR Mode (Algebraic Mode) provides tools for expansion of
algebraic expressions, factoring, etc. In this mode, differential and
integration calculation results are displayed as mathematical
expressions instead of decimal values.
20-1
Before Using the Algebraic Mode
20-2
Inputting and Executing Calculations
20-3
ALGBR Mode Commands
20-4
Signum Function
20-5
Natural Display Notation
20-6
ALGBR Mode Error Messages
20-7
ALGBR Mode Precautions
20

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  • Page 1 Chapter Algebraic Expressions The ALGBR Mode (Algebraic Mode) provides tools for expansion of algebraic expressions, factoring, etc. In this mode, differential and integration calculation results are displayed as mathematical expressions instead of decimal values. 20-1 Before Using the Algebraic Mode 20-2 Inputting and Executing Calculations 20-3...

  • Page 2: Before Using The Algebraic Mode

    20-1 Before Using the Algebraic Mode In the Main Menu, select the ALGBR icon to enter the ALGBR Mode and display its initial screen, which contains the following items. • {expn} ... {expansion} • {fctor} ... {factorization} • {diff} ... {differential} •...

  • Page 3: Inputting And Executing Calculations

    20-2 Inputting and Executing Calculations The ALGBR Mode display is divided into three areas: an input area, a solution area, and a message area (used for display of menus and error messages). Input area Solution area Messages area X + X 2 + 3X – 2X 2 Example v+vx+dv-cvx •...

  • Page 4: Algbr Mode Commands

    20-3 ALGBR Mode Commands In the ALGBR Mode, results are calculated in accordance with commands and expressions you input. This section describes each of the commands available in the ALGBR Mode. k k k k k Conventions Used in this Section The following conventions are used in the command descriptions of this section.
  • Page 5 20 - 3 ALGBR Mode Commands To factorize the expression X 2 - 4X + 4 Example 2(fctor)vx-ev (X – 2) 2 • You can also factorize a value into its prime factors. Example To factorize 64 into its prime factors 2(fctor)gew u u u u u Addition Theorems ——...
  • Page 6 20- 3 ALGBR Mode Commands u u u u u Integration —— ( ( ) This command can be used to determine the primitive function or calculate the definite integral for an expression. Syntax 1: (<expression>, <variable> [, <integration constant>] [)] Syntax 2: (<expression>[, <variable>, <integration constant>] [)] Syntax 3: (<expression>, <variable>...
  • Page 7 20 - 3 ALGBR Mode Commands • Syntax 1 determines the derivative in accordance with a specified expression, variable and order. Specifying a differential coefficient calculates a result in accordance with the input value. • A default order of 1 is used when specification of the order is skipped in Syntax •...
  • Page 8 20- 3 ALGBR Mode Commands Example To solve AX+B = 0 for X 5(SOLV)1(solve)aA –B v+aB,vw P.107 • Other solve functions are available that produce numeric calculation results . u u u u u Convert to Numeric Value —— (appr) This command converts an expression to a numeric value.
  • Page 9 20 - 3 ALGBR Mode Commands With approx, calculation results are displayed using exponential notation. As with the RUN Mode, the mantissa can have up to 10 digits and the exponent up to two digits. The number of digits that can be input for approx depends on the setting of the set up screen's Display item.
  • Page 10 20- 3 ALGBR Mode Commands u u u u u Sequence —— (sequ) This command creates the function that describes the relationship between the variable and the value of the expression, if the value of the expression is entered when the variable is assigned the first specified <value>, the second specified <value>, and so on.
  • Page 11 20 - 3 ALGBR Mode Commands Syntax: sumSeq ({<value>, <value>, ...} [,<variable>] [)] • A default variable of X is used when specification of a variable is skipped. Example To obtain an expression that expresses the sum up to the term when terms 1 through 4 are the following sequence of values: {23, 30, 37, 45} 6(g)4(PTS')2(smSq)

  • Page 12: Signum Function

    20-4 Signum Function The signum function described in this section is available in the ALGBR Mode. Syntax: signum (<expression>[)] • A solution can be obtained only when <expression> is a numeric value. Definition: 1 (real number, A > 0) Undefined (A = 0) signum(A) –1 (real number, A <...

  • Page 13: Natural Display Notation

    20-5 Natural Display Notation Most calculators use their own symbols, such as ABS for absolute values and ^ for powers, in place of standard mathematical notation. Expressions in the ALGBR Mode are displayed using "natural display notation," which uses standard mathematical notation as shown below.

  • Page 14: Algbr Mode Error Messages

    20-6 ALGBR Mode Error Messages A number of error messages are unique to the ALGBR Mode. The following lists the error messages and explains the meaning of each one. • Error messages unique to the ALGBR Mode appear in the message area of the display.

  • Page 15: Algbr Mode Precautions

    20-7 ALGBR Mode Precautions • When an input expression cannot be processed any further, the expression displayed as the result of an operation will be identical to the input expression. • It may take a considerable amount of time for a result to appear. This does not indicate malfunction.

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