Mathematics, Physics and Maple
Mark Haugan
Department of Physics Purdue University West Lafayette, IN 47906
mph@physics.purdue.edu (765)494-5504
Intermediate Mechanics (January 1996)
Since Maple was new to most of these students I introduced its use during
a review of elementary Newtonian mechanics and adopted a minimalist Maple
style, emphasizing the use of basic commands to handle most tasks and mentioning
specialized commands from the (initially) overwhelming number of Maple
packages only when absolutely necessary.
Some of my reasons for deciding to use Maple in this class:
- I thought that its graphical capabilities could be used to make theoretical
mechanics more concrete, helping students visualize the motions they predict
by solving differential equations, for example.
- I thought that using its analytical capabilities to ease the distracting
technical burden of certain calculations might help students see the overall
structure of theoretical mechanics more clearly.
- I thought that using its analytical capabilities would extend the reach
of students' technical skills without imparing the development of those
skills because effective Maple use requires a good grasp of mathematical
technique.
- I knew that its capabilities would facilitate discussions of more realistic
and interesting examples
.
- I thought that its worksheet interface, which gives students the ability
to mix and revise explanatory text, mathematics and graphics, would encourage
high quality work by making it easier to produce.
My experience teaching the class showed these expectations not to have
been completely unrealistic.