Linear Algebra

MATH 2135 Spring 2018

Course description

The official title of this course is Linear Algebra for Mathematics Majors. The course provides an introduction to the study of vector spaces and linear maps, including the topics of systems of linear equations, matrices, linear independence, dimension, inner products, determinants, eigenvalues, eigenvectors and diagonalization. The course is recommended for students who plan to major in mathematics. Prerequisites: MATH 2300 or APPM 1360, and MATH 2001.

Schedule

MWF 12:00 PM -- 12:50 PM, ECCR 105

University of Colorado Academic Calendar

Office hours

MWF 11:00 AM -- 11:50 AM or by appointment

Textbook

The textbook for the course is:

1. Tom M. Apostol, Calculus, Volume 2 (2nd Edition), Wiley, 1969.

Our treatment may also follow parts of:

1. M. Artin, Algebra (2nd Edition), Prentice--Hall, 2011.
2. S. Axler, Linear Algebra Done Right (3rd Edition), Undergraduate Texts in Mathematics, Springer, 2015.

There are many other books on the topic, some of which are:

3. O. Bretscher, Linear Algebra with Applications (5th Edition), Pearson, 2012.
4. C. Curtis, Linear Algebra, An Introductory Approach, Undergraduate Texts in Mathematics, Springer, 1984.
5. S. Friedberg, A. Insel, and L. Spence, Linear Algebra (4th Edition), Pearson, 2002 (3rd Edition).
6. K. Janich, Linear Algebra, Undergraduate Texts in Mathematics, Springer 1984.
7. P. Lax, Linear Algebra and Its Applications (2nd Edition), Pearson, 2007.
8. D. Lay, Linear Algebra and Its Applications (3rd Edition), Addison Wesley, 2006.
9. P. Petersen, Linear Algebra, Undergraduate Texts in Mathematics, Springer, 2012.

The Springer books are available for free in .pdf through the University of Colorado. Used, paperback copies of all of the books are often available for a steep discount at online book sellers. Two copies of Apostol will be on reserve at the Gemmill Engineering, Mathematics & Physics Library.

Grading

Homework and Quizzes 15%, Midterm I 25%, Midterm II 25%, Final 35%.