Math 237 syllabus
An introduction to linear algebra, topics include vector
spaces, linear transformations, determinants, the eigenvalue problem,
orthogonality. Core Course
Prerequisites: C or better in MA 126.
Textbook: Lipshultz, Seymour and Lipson, Marc Linear Algebra, 5th edition, in
the Schaum's outline series McGraw-Hill (2012) ISBN 978-071794565
Chapter 1 - 1 week
Chapter 2 - 1 week
Chapter 3 - 2 weeks
Chapter 4 - 2 weeks
Chapter 5 - 2 weeks
Chapter 6 - 2 weeks
Chapter 8 - 1 week
Chapter 9 - 2 weeks
- You will have developed good conceptual and
computational understandings of linear algebra.
- You will be expected to be able to state definitions precisely, prove
some small theorems, follow the proofs of bigger theorems, and apply
these results in a variety of real world situations.
- You will be able to row reduce a matrix by hand, and describe the
steps used in row reduction as elementary row operations.
- You will be able to identify row space, column space, null space,
domains and ranges associated with matrices and with linear maps.
- You will be able to perform matrix arithmetic (addition, multiplication,
multiplication by scalars) and be able to interpret these operations in terms
of linear transformations, changing bases, or as row or column operations.
- You will be able to identify eigenvalues and eigenvectors of self-
Time allotments for coverage are approximate and allow for exams and optional
topics. This outline of time allotments is based upon the advice of those who
have taught the course. This outline is subject to change and refinement.
Last Updated February 4, 2014