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Systems
of linear equations, linear and affine subspaces of Euclidean
n-space, the Gauss--Jordan algorithm, matrices and matrix algebra,
determinants, vector space concepts for Euclidean n-space (linear dependence
and independence, basis, dimension, etc.), various applications.
Linear algebra is a branch of mathematics which is particularly useful in
other fields and in other branches of mathematics. Its frequent application in
the engineering and physical sciences rivals that of calculus. Computer
scientists and economists have long recognized its relevance to their
discipline. Moreover, linear algebra is fundamental in the rapidly increasing
quantification that is taking place in the management and social sciences.
Finally, ideas of linear algebra are essential to the development of algebra,
analysis, probability and statistics, and geometry.
This course and MATH 2222 3.0 (see below)
together provide a standard full-year
introduction to linear algebra. While our focus will not be excessively
theoretical, students will be introduced to proofs and expected to develop
skills in understanding and applying concepts as well as results.
Applications will be left mainly for MATH 2222 3.0.
The text and grading scheme have not been determined as we go to
press.
Note that MATH 1540 3.0 may not be taken for credit by anyone who is
taking, or anyone who has taken, MATH 2221.
Prerequisite:OAC algebra or any university mathematics course.
Exclusions:AS/SC/MATH 1025 3.0,
AS/SC/MATH 2021 3.0, AK/MATH 2220 6.0.
Coordinator: Fall: Alfred Pietrowski Winter: R. Burns
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