The following course plan is preliminary and will be updated if there are any changes.
| Lecture | Date | Content | Chapters | Quiz problems |
| 1 | April 16 | Image and Kernel | 3.1 | 3.1: 5, 9, 13, 15, 25, 31, 33, 39, 51 |
| 2 | April 23 | Subspaces of Rn | 3.2 | 3.2: 1, 3, 17, 25, 29, 33, 37, 43 |
| 3 | April 30 | Dimension | 3.3 | 3.3: 21, 23, 25, 27, 29, 31, 35, 39 |
| 4 | May 7 | Coordinates | 3.4 | 3.4: 7, 9, 15, 23, 25, 27, 39, 41 |
| 5 | May 14 | Linear Spaces and Transformations | 4.1, 4.2 | 4.1: 3, 7, 9, 23, 29, 35, 41, 45 |
| 6 | May 21 | The Matrix of a Linear Transformation | 4.2, 4.3 | 4.2: 7, 13, 23, 29; 4.3: 1, 3, 9, 13 |
| 7 | May 28 | Midterm exam | ||
| 8 | June 4 | Orthogonal Bases | 5.1, 5.2 | 5.1: 7, 9, 15; 5.2: 1, 3, 7, 9, 13 |
| 9 | June 11 | Orthogonal Transformations | 5.3 | 5.3: 5, 7, 11, 19, 27, 29, 33, 41 |
| 10 | June 18 | Eigenvalues and Eigenvectors | 7.1 | 7.1: 1, 3, 5, 7, 11, 15, 21, 35 |
| 11 | June 25 | Characteristic polynomials | 7.2 | 7.2: 1, 3, 7, 9, 13, 23, 33, 39 |
| 12 | July 2 | Eigenbases | 7.3 | 7.3: 1, 7, 9, 13, 17, 21, 27, 35 |
| 13 | July 9 | Diagonalization | 7.4 | 7.4: 3, 5, 11, 15, 21, 27, 29, 35 |
| 14 | July 16 | Review | 3, 4, 5, 7 | |
| 15 | July 23 | Final Exam |