Math 22, Fall 2004
Linear Algebra with Applications
Material used in the class: Maple demos and handouts
What is Maple?
Maple is a computer program for doing a variety of symbolic, numeric, and
graphical computations. Such a program is commonly called a CAS, short for
Computer Algebra System. Maple also provides a programming environment, with a
syntax similar to that of pascal. In fact, most of the Maple commands are
written in the Maple programming language. It is possible to look at the source
for most of the Maple commands, and experience programmers can add their own
modifications and extensions to Maple.
Maple was originally developed as a joint research project centered at the
University of Waterloo and ETH Zurich. It is now marketed by
MapleSoft.
What kind of problems can Maple solve?
Maple performs best on problems involving symbolic, as opposed to numerical
computation. However, it is generally easier to use Maple on numerical problems
rather than write programs in FORTRAN or C, for numerical calculations that are
not too involved. Maple also provides the user with a lot of graphical power.
Where one can find tutorials and guides for Maple?
Extensive
Learning Guide and
Getting Started Guide can be downloaded from
MapleSoft. Tutorials and examples are
available from Maple Application Center.
How can Maple be used at Dartmouth?
All enrolled Dartmouth students can download the latest version of Maple
for free from
Dartmouth Software Resources web page.
Introduction: Basic information
about the course.
Doing Linear Algebra with Maple: crash course demo in
Maple Worksheet,
PDF, and
HTML format.
1.2 Echelon Forms: Maple demo in
Maple Worksheet,
PDF, and
HTML format.
1.3 Vector Equations:
Summary of Products Involving Vectors.
1.3 Vector and Matrix Equations: Maple demo in
Maple Worksheet,
PDF, and
HTML format.
1.8 Linear Transformations: Maple demo in
Maple Worksheet,
PDF, and
HTML format.
2.1 Matrix Operations: Properties
2.2 The Inverse of a Matrix: Maple demo in
Maple Worksheet,
PDF, and
HTML format.
2.3 The Invertible Matrix Theorem:
full page and
pocket size handouts.
4.1 Axioms of Vector Spaces:
full page and
pocket size handouts.
4.4 Coordinate Systems: Examples
4.6 Rank: Updated version of the Invertible Matrix Theorem
as full page and
pocket size handouts.
5.4 Eigenvextors and Linear Transformations: Maple demo in
Maple Worksheet,
PDF, and
HTML format.
6.1 and 6.7 Inner Product:
full page and
pocket size handouts.