The following course plan is preliminary.
| Lecture | Date | Content | Chapters | Quiz problems |
| 1 | April 17 | Image and Kernel | 3.1 | 3.1: 5, 9, 13, 15, 23, 31, 39, 51 |
| 2 | April 24 | Subspaces of Rn | 3.2 | 3.2: 3, 9, 15, 17, 25, 33, 37, 43 |
| 3 | May 1 | Dimension | 3.3 | 3.3: 21, 23, 29, 27, 31, 35, 37, 39 |
| 4 | May 15 | Coordiantes | 3.4 | 3.4: 7, 11, 15, 19, 25, 27, 37, 39 |
| 5 | May 22 | Linear Spaces and Transformations | 4.1, 4.2 | 4.1: 3, 9, 17, 23, 31, 35, 41, 45 |
| 6 | May 29 | The Matrix of a Linear Transformation | 4.2, 4.3 | 4.2: 7, 11, 33, 37; 4.3: 3, 9, 11, 13 |
| 7 | June 5 | Midterm exam | ||
| 8 | June 12 | Orthogonal Bases | 5.1, 5.2 | 5.1: 7, 9, 15, 27; 5.2: 1, 3, 7, 13 |
| 9 | June 19 | Orthogonal Transformations | 5.3 | 5.3: 5, 7, 9, 17, 27, 29, 33, 41 |
| 10 | June 26 | Eigenvalues and Eigenvectors | 7.1 | 7.1: 1, 3, 5, 7, 9, 15, 17, 21 |
| 11 | July 3 | Characteristic polynomials | 7.2 | 7.2: 1, 5, 7, 9, 17, 23, 33, 35 |
| 12 | July 10 | Eigenbases | 7.3 | 7.3: 1, 5, 9, 13, 17, 21, 27, 35 |
| 13 | July 17 | Diagonalization | 7.4 | 7.4: 5, 9, 15, 17, 25, 27, 29, 35 |
| 14 | July 24 | Review | 3, 4, 5, 7 | |
| 15 | July 31 | Final Exam |