Overview of the Student[MultivariateCalculus] Subpackage - Maple Help

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Overview of the Student[MultivariateCalculus] Subpackage

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.

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

FunctionAverage

Jacobian

MultiInt

Revert

SecondDerivativeTest

 

 

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.

See Also

Student


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