Overview of the Student[MultivariateCalculus] Subpackage - Maple Programming Help

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Overview of the Student[MultivariateCalculus] Subpackage

 

Calling Sequence

Description

Visualization

Interactive

Computation

Lines and Planes

Getting Help with a Command in the Package

Example Worksheet

Calling Sequence

Student[MultivariateCalculus][command](arguments)

command(arguments)

Description

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The Student[MultivariateCalculus] subpackage is designed to help teachers present and students understand the basic material of a standard course in multivariate calculus.  There are two principal components to the subpackage: interactive and visualization. These components are described in the following sections.

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Each command in the Student[MultivariateCalculus] subpackage can be accessed by using either the long form or the short form of the command name in the command calling sequence.

  

As the underlying implementation of the Student[MultivariateCalculus] subpackage is a module, it is also possible to use the form Student[MultivariateCalculus]:-command or Student:-MultivariateCalculus:-command to access a command. For more information,  see Module Members.

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The Maple Command Completion facility is helpful for entering the names of Student package commands.

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Many of the commands and tutors in the Student[MultivariateCalculus] package can be accessed through the context-menu. These commands are consolidated under the Student[MultivariateCalculus] name.

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Note: Though some of the commands in this package may return complex values, it is assumed that the user is working  with  the calculus of real valued functions of real variables.

Visualization

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The visualization routines are designed to assist in the understanding of basic multivariate calculus concepts, theorems, and computations.  These routines normally produce a Maple plot and most can optionally return one or more symbolic representations of the studied quantity.

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You have considerable control over the presentation of plots produced by the visualization routines.  The display of each object included in the plot can be adjusted by using a corresponding option in the calling sequence. For details, see the individual command help pages.

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For more information on this functionality, see Student[MultivariateCalculus][VisualizationOverview].

  

The visualization commands are:

ApproximateInt

CenterOfMass

CrossSection

DirectionalDerivative

Gradient

LagrangeMultipliers

SurfaceArea

TaylorApproximation

Interactive

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The interactive routines use Maple's Maplet technology to assist you to work through the standard problems of multivariate calculus in a visually directed manner.  These commands display one or more dialog boxes allowing you to plot a function and change the various plot options.

  

For more information on this functionality, see Student[MultivariateCalculus][InteractiveOverview].

  

The interactive commands are:

ApproximateIntTutor

CrossSectionTutor

DirectionalDerivativeTutor

GradientTutor

TaylorApproximationTutor

 

 

 

Computation

  

The computation routines provide tools that perform standard multivariate calculus operations.

  

For more information on this functionality, see Student[MultivariateCalculus][ComputationOverview].

  

The computation commands are:

ChangeOfVariables

CrossProduct

diff

DotProduct

FunctionAverage

Jacobian

MultiInt

Norm

Normalize

Revert

SecondDerivativeTest

TripleScalarProduct

Lines and Planes

  

The Student[MultivariateCalculus] package also contains routines for working with lines and planes in two and three dimensions. For more information on this functionality, see Student[MultivariateCalculus][Line] and Student[MultivariateCalculus][Plane].

  

The commands for lines and planes are:

Angle

AreOrthogonal

AreParallel

AreSkew

Contains

Distance

Equal

GetDimension

GetDirection

GetIntersection

GetNormal

GetPlot

GetPoint

GetRepresentation

Intersects

Line

Plane

Projection

 

 

Getting Help with a Command in the Package

  

To display the help page for a particular Student[MultivariateCalculus] command, see Getting Help with a Command in a Package.

Example Worksheet

  

For introductory examples, see MultivariateCalculus Example Worksheet.

Applications

Student[MultivariateCalculus] Examples

See Also

Student