| Week 1 | Class Topic | Homework From |
| 1/22 | Vector Spaces |
| Week 2 |
| 1/26 | Vector Spaces & Subspaces | |
| 1/29 | Linear Combinations, Depedence, & Independence | HW1 (Solutions) |
| Week 3 |
| 2/2 | Depedence & Independence (Cont'), Bases | |
| 2/5 | Dimension | HW2 (Solutions) |
| Week 4 |
| 2/9 | Zorn's Lemma & the Basis Extension Theorem | |
| 2/12 | Linear Transformations | HW3 (Solutions) |
| Week 5 |
| 2/16 | Rank-Nullity Theorem | |
| 2/19 | Rank-Nullity (con't) | HW4 (Solutions) |
| Week 6 |
| 2/23 | Isomorphism & invertibility | |
| 2/26 | Linear maps & matrices | Practice Problems (Solutions) |
| Week 7 |
| 3/2 | Exam #1 | (Solutions) |
| 3/5 | Snow Day! | HW5(Solutions) |
| Week 8 |
| 3/9 | Linear maps & matrices (Con't), Operators | |
| 3/12 | Eigenvalues & Eigenvectors | HW6(Solutions) |
| Week 9 |
| 3/16 | Spring Break | |
| 3/19 | Spring Break |
| Week 10 |
| 3/23 | Eigenvalues & vectors | |
| 3/26 | Triangularizing bases | Practice Problems (Solutions) |
| Week 11 |
| 3/30 | Direct Sums | |
| 4/2 | Exam #2 |
| Week 12 |
| 4/6 | Generalized Eigenvectors | |
| 4/9 | Cayley-Hamilton theorem | HW7 (Solutions) |
| Week 13 |
| 4/13 | Jordan Form | |
| 4/16 | Inner product spaces | HW8 (Solutions) |
| Week 14 |
| 4/20 | Inner product spaces (con't) | |
| 4/23 | Orthonormal bases | HW9 (Solutions) |
| Week 15 |
| 4/27 | Orthogonal subspaces | |
| 4/30 | Determinants | Practice Problems (Solutions) |
| Finals Week |
| 5/7 | Final Exam (8-11AM) |