Overview of the Student[MultivariateCalculus] Subpackage
Calling SequenceDescriptionVisualizationInteractiveComputationLines and PlanesGetting Help with a Command in the PackageExample Worksheet
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Student[MultivariateCalculus][command](arguments)
command(arguments)
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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.
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.
The Maple Command Completion facility is helpful for entering the names of Student package commands.
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.
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.
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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.
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.
For more information on this functionality, see Student[MultivariateCalculus][VisualizationOverview].
The visualization commands are:ApproximateIntCenterOfMassCrossSectionDirectionalDerivativeGradientLagrangeMultipliersSurfaceAreaTaylorApproximation
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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:ApproximateIntTutorCrossSectionTutorDirectionalDerivativeTutorGradientTutorTaylorApproximationTutor
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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:ChangeOfVariablesCrossProductdiffDotProductFunctionAverageJacobianMultiIntNormNormalizeRevertSecondDerivativeTestTripleScalarProduct
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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:AngleAreOrthogonalAreParallelAreSkewContainsDistanceEqualGetDimensionGetDirectionGetIntersectionGetNormalGetPlotGetPointGetRepresentationIntersectsLinePlaneProjection
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To display the help page for a particular Student[MultivariateCalculus] command, see Getting Help with a Command in a Package.
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For introductory examples, see MultivariateCalculus Example Worksheet.
ApplicationsStudent[MultivariateCalculus] ExamplesSee AlsoStudent