Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the appendix entitled GNU Free Documentation License.

**Maple** is a great computer algebra system to use, especially if you are in applied areas where it is necessary to solve differential equations and other complicated problems.
The first concept of Maple arose from a meeting in late 1980 at the University of Waterloo.
*Maple* provides friendly tools to solve and plot solutions to differential equations, but it is
certainly not a panacea of all problems. This computer algebra system has tremendous plotting capabilities.

A solution of a realistic problem is often hampered because the algebra is too complex for anyone but the dedicated
researcher. Just as the calculator eliminated laborious numerical computations, symbolic software programs eliminate
arduous algebraic computations. While computer power is no substitute for thinking, it spares the scientist from
performing mundane mathematical steps, and thereby frees time for creative thinking.
This tutorial can be used to introduce students who are taking
the first course in Linear Algebra to a symbolic
mathematical computation program *Maple*.