Overview of the Student MultivariateCalculus Subpackage
Calling SequenceDescriptionVisualizationInteractiveComputationLines and PlanesGetting Help with a Command in the PackageExample WorksheetMultivariate Calculus Study Guide
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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.
The long form, Student:-MultivariateCalculus:-command, is always available. The short form can be used after loading the package.
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 panel. First load the Student:-MultivariateCalculus package. Then, 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.
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In addition to the Student:-MultivariateCalculus package, Maple includes the Multivariate Calculus Study Guide, an exercise-based e-book for Multivariate Calculus. This study guide supplements your textbook by focusing on understanding new ideas and gaining a deep understanding. Problems are worked through in various methods, including a mathematical solution, an interactive Maple solution, and a coded Maple solution.
ApplicationsStudent:-MultivariateCalculus ExamplesSee AlsoMultivariate Calculus Study GuideStudent