This is the summary of a presentation given at the Joint Mathematics
Meetings, January 10-13, 1996, Orlando, Florida.

A Computer-Based Linear Algebra Course
Emphasizing Understanding
of Traditional Concepts
Students in the University of Redlands' one-semester sophomore-level
linear algebra course meet in a computer classroom/laboratory, where they
use MATLAB virtually every class day for computations, for formulating
and testing conjectures, and for more formal in-class assignments. The
students use MATLAB for almost every homework assignment from their
textbook as well, mainly for computations and for checking answers, but
also to explore and conjecture, and to investigate applications. In
fact, students present applications of linear algebra to their classmates
in groups of two or three students each. Nevertheless, we cover the
traditional vector space topics, emphasizing understanding of the
geometry underlying the concepts, of the techniques associated with the
concepts, and of mathematical theorems and proofs, and our course serves
as a transition course for students progressing from calculus to upper
division mathematics courses. We describe our course, giving specific
examples of computer activities and assignments and of applications of
linear algebra presented by groups of students.
See also Linear Algebra Course Information from University of Redlands.
Janet L. Beery and Alexander Koonce
University of Redlands
Redlands, CA 92373
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