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
Multivariate Calculus Study Guide
Student[MultivariateCalculus][command](arguments)
command(arguments)
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 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.
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:
ApproximateInt
CenterOfMass
CrossSection
DirectionalDerivative
Gradient
LagrangeMultipliers
SurfaceArea
TaylorApproximation
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
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
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
To display the help page for a particular Student[MultivariateCalculus] command, see Getting Help with a Command in a Package.
For introductory examples, see MultivariateCalculus Example Worksheet.
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 metiods, including a mathematical solution, an interactive Maple solution, and a coded Maple solution.
Applications
Student[MultivariateCalculus] Examples
See Also
Multivariate Calculus Study Guides
Student
Download Help Document
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