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

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Overview of the Student[NumericalAnalysis] Subpackage

 Calling Sequence Student[NumericalAnalysis][command](arguments) command(arguments)

Description

 • The Student[NumericalAnalysis] subpackage is designed to help teachers present and help students understand the basic material of a standard course in numerical analysis. There are three principal components to the subpackage: computation commands, visualization commands and interactive routines. These components are described in the following sections.
 • This subpackage has associated tutors. To access Student[NumericalAnalysis] tutors, select Tools>Tutors>NumericalAnalysis.
 • Each command in the Student[NumericalAnalysis] 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[NumericalAnalysis] subpackage is a module, it is also possible to use the form Student[NumericalAnalysis]:-command or Student:-NumericalAnalysis:-command to access a command. For more information, see Module Members.
 • Many of the commands and tutors in the Student[NumericalAnalysis] package can be accessed through the context-menu. These commands are consolidated under the Student[NumericalAnalysis] name.
 • The Maple Command Completion facility is helpful for entering the names of Student package commands.
 • Note on boolean options: Many of the commands in the Student[NumericalAnalysis] subpackage take boolean options. That is, options of the form option_name = value, where value is true or false. These options are used, for example, to control which components are included in a plot. In all cases, the form option_name = true can be abbreviated as option_name.
 • The commands in this subpackage that numerically solve initial value problems will sometimes display an exact result along with the approximated result.  The powerful Maple dsolve, numeric command is used to compute the exact result that is displayed.

Visualization

 • The visualization commands in the Student[NumericalAnalysis] subpackage have the capability to return a plot illustrating relevant details of the approximation method. These commands still possess the ability to return a value rather than a plot. Visit each command's help page to see the default return value.
 The visualization commands are:

Interactive

 • The interactive routines use Maplets to assist you to work through some of the standard problems of numerical analysis in a visually directed manner. Some of these Maplets display a plot and allow you to experiment by changing the approximation method being plotted. Other Maplets display key steps of the approximation method in an intuitive manner.
 The interactive routines are:

Computation

 • The computation commands in the Student[NumericalAnalysis] subpackage implement standard numerical analysis operations.
 The computation commands are:

Getting Help with a Command in the Package

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

Example Worksheets

 For examples using the Student[NumericalAnalysis] subpackage, see Student[NumericalAnalysis] Example Worksheet.

References

 Burden, R. L., and Faires, J. D., "Numerical Analysis", 8th edition, Thompson Brooks-Cole, 2005
 Fausett, L. V., "Numerical Methods: Algorithms and Applications", Prentice-Hall, 2003
 Golub, G. H., and Van Loan, C. F., "Matrix Computations", 3rd edition, Johns Hopkins University Press, 1996