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The practice of and the pedagogy of Applied mathematics is
significantly aided by the existence of computer symbolic algebra/calculus
packages and visualization.
I conclude that an introduction and some proficiency training in
one of these tools is pedagogically sound.
There are a number of different good choices including
MatLab, Maple,
MSOffice Products, and Mathematica.
I've chosen Mathematica as a vehicle for this course;
in my judgment, it is the most general and powerful mathematical
software--although it is perhaps too comprehensive to be mastered
rapidly.
Mathematica® is freely available to all MIT students.
This particular choice should be revisited after the course.
The first five lectures will introduce students to Mathematica®
usage, visualization, and programming.
Throughout the course, examples will be presented as worked problems
in Mathematica® and students will turn in their homework as either
Mathematica® printouts or electronic notebooks.
Much of this first five lectures will resemble the 16-hour Wolfram
training course that I took recently.
W. Craig Carter
2003-06-17