The following course plan is preliminary.
| Lecture | Date | Content | Chapters | Recommended Exercises |
| 1 | October 12 | Introduction, Systems of linear equations | 1.1 | 1.1: 1, 3, 9, 11, 13, 15 |
| 2 | October 19 | Matrices, Vectors, Dot product | 1.2, Appendix A | 1.1: 19, 21, 27, Handout: 1, 2, 3 |
| 3 | October 26 | Lines and planes | Handout | Handout: 4, 5, 6, 7, 8, 9 |
| 4 | November 2 | Gauss-Jordan elimination | 1.2 | 1.2: 5, 7, 11, 25, 27, 35, 41 |
| 5 | November 9 | Solutions to systems of linear equations | 1.3 | 1.3: 1, 3, 7, 11, 13, 25, 55 |
| 6 | November 16 | Linear transformations | 2.1 | 2.1: 1, 5, 7, 17, 21, 25, 27, 39, 49 |
| 7 | November 23 | Midterm Exam | ||
| 8 | November 30 | Linear transformations and geometry | 2.2 | 2.2: 3, 7, 9, 21, 23, 29 |
| 9 | December 7 | Matrix multiplication | 2.3 | 2.3: 1, 5, 11, 13, 55, 63 |
| 10 | December 14 | Matrix inverse | 2.4 | 2.4: 7, 11, 13, 29, 35, 43 |
| 11 | December 21 | Determinants | 6.1 | 6.1: 3, 5, 7, 17, 23, 27, 31, 35 |
| 12 | January 11 | Properties of determinants | 6.2 | 6.2: 5, 7, 9, 13, 15, 29 |
| 13 | January 18 | Geometric interpretation of determinants | 6.3 | 6.3: 1, 3, 7, 23, 25, 33 |
| 14 | January 25 | Review | 1, 2, 6 | |
| 15 | February 1 | Final Exam |