Main page: https://www.dobrush.us

This website provides two things: One is comprised of equations and proofs which together constitute the bedrock of mathematics. The other is Wolfram software code which automates processing and reduces the tedium of solving many mathematical problems. The second, and the use of computers in general, must be viewed as a "black box" which may be specifically and completely understood only in terms of the equations and proofs contained therein.

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.