 6.9 Mathematical Functions & Operations - Maple T.A. 2016 Help Instructor
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6.9 Mathematical Functions & Operations

The following tables provide a reference of mathematical functions, constants, and operators.

• Table 6.5 contains general functions and numbers that can be used for both Maple T.A. and Maple questions.
• Table 6.6 provides the function names for Maple T.A. and Maple questions for the hyperbolic and inverse hyperbolic functions. Note that Maple T.A. and Maple use different notation for these functions.
• Table 6.7 contains exclusive Maple notation. For a complete list of Maple functions, refer to Maple documentation. Some Maple commands take unevaluated forms. For a discussion on student use of unevaluated forms, see Maple Syntax.

Table 6.5: Mathematical Functions and Operators

 Arithmetic Trigonometric Functions `+` addition `sin` sine `-` subtraction `cos` cosine `*` multiplication `tan` tangent `/` division `arcsin` inverse sine `^` exponentiation `arccos` inverse cosine Numbers and Constants `arctan` inverse tangent e 2.71828... `sec` secant `pi ( )` 3.14159... `csc` cosecant `2.9E8` scientific notation: 290,000,000 `cot` cotangent Functions `arcsec` inverse secant `sqrt` square root `arccsc` inverse cosecant `log` logarithm base 10 `arccot` inverse cotangent `ln` natural logarithm `abs` absolute value function

Table 6.6: Hyperbolic and Inverse Hyperbolic Functions

Function

Maple T.A. Notation

Maple Notation

Function

Maple T.A. Notation

Maple Notation

hyperbolic sine

`hypsin `
`sinh`

inverse hyperbolic sine

`archypsin `
`arcsinh`

hyperbolic cosine

`hypcos `
`cosh`

inverse hyperbolic cosine

`archypcos `
`arccosh`

hyperbolic tangent

`hyptan `
`tanh`

inverse hyperbolic tangent

`archyptan `
`arctanh`

hyperbolic secant

`hypsec `
`sech`

inverse hyperbolic secant

`archypsec `
`arcsech`

hyperbolic cosecant

`hypcsc `
`csch`

inverse hyperbolic cosecant

`archypcsc `
`archcsch`

hyperbolic cotangent

`hypcot `
`coth`

inverse hyperbolic cotangent

`archypcot`
`arccoth`

Table 6.7: Maple Notation

 Constant Maple Notation 2.71828... `exp(1)` 3.14159... `Pi` , the square root of -1 `I` Function Maple Notation logarithm base 10 `log10` integral `Int` differential equation `Diff` limit `Limit` exponential functionCalculates the value of e to power of x, where e is the base of the natural logarithm, 2.718281828... `exp`

 Note: The variable e should not be assigned as a global variable in Maple code. It can be used, however, as a local variable.