Linear Algebra with Applications I
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 MATH2222.03 (see below) 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 MATH2222.03.
Topics to be studied include: systems of linear equations and matrices,
determinants, linear dependence and independence of sets of vectors in
, vector spaces, inner product spaces, and the Gram-Schmidt
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The final grade will be based on term work and a final examination (with
possible weights of 60% and 40% respectively).
Prerequisites: One of SC/MATH1505.06, AS/MATH1540.03, AS/MATH1550.06,
Corequisites: AS/SC/MATH1000.03 or AS/SC/MATH1013.03 or AS/SC/MATH1300.03.
Exclusions: AS/SC/MATH1025.03, AS/SC/MATH2000.06, AS/SC/MATH2021.03,
Coordinator: Pat Rogers