# Linear Algebra with Applications

 General Information Syllabus Homework Assignments Exam Related Class Material

## 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?

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.