| Date | Section | Topic | Exercises |
|---|
| Fri 29 Jan | 1.1 | Linear systems, matrices | 5,7,9,11,13,15,22,27,T4 |
| 1.2 | | 1,5,7,9,T1,T5,T7 |
| Tue 2 Feb | 1.3 | Dot product and matrix multiplication | 1,5,7,9,11,13,15,19,21,25,T1,T3,T4,T7,T10 |
| 1.4 | Properties of matrix operations | 9,11,13,15,T6,T9,T23,T24,T27 |
| Fri 5 Feb | 1.5 | Matrix transformations | 1,5,9,15,19 |
| Tue 9 Feb | 1.6 | Solving linear systems | 3,5,8,9,13,19,23,27,31,47,T8,T11 |
| Fri 12 Feb | | College Closed | |
| Tue 16 Feb | 1.7 | Inverse matrix | 3,5ab,11,13,15,18,25,T7,T9,T10 |
| Fri 19 Feb | 3.1 | Determinants | 3,5abv,9,15,17,22,23,T5,T9,T16 |
| Tue 23 Feb | 3.2 | Cofactor expansion | 1,5,9,11,15,19,23,T4,T5,T10,T11 |
| 3.3 | Computational viewpoint | |
| Fri 26 Feb | | Review | |
| Tue 2 Mar | | Midterm 1 | |
| Fri 5 Mar | 4.1 | Vectors in the plane | 9,13,15,19,21,24,27,T5,T9 |
| 4.2 | n-vectors | 1,4,11,13,17,21,23,26,27,T5,T13 |
| Tue 9 Mar | 4.3 | Linear transformations | 1,7,13,15,17,21,25,27,29,T5,T11 |
| Fri 12 Mar | 6.1 | Vector spaces | 1,3,4,9,13,15,20,T5 |
| 6.2 | Subspaces | 3,7,9,17,19,20e,23,25,27,T3,T12 |
| Tue 16 Mar | 6.3 | Linear independence | 1ab,3ac,5,7,9,11bc,12ab,13ab,14,16,T2,T8,T11,T13 |
| Fri 19 Mar | 6.4 | Basis, dimension | 1,3ab,5bc,9,11,13,19,23,27,29,31,33,35,T3,T4,T8,T12,T15 |
| Tue 23 Mar | 6.5 | Homogeneous systems | 3,5,11,13,21,T3 |
| Fri 26 Mar | 6.6 | Matrix rank | 1,3,5,7,11,17,19,21,23,27,29,33,T7,T12 |
| Tue 30 Mar | | Spring break | |
| Fri 2 Apr | | Spring break | |
| Tue 6 Apr | 6.7 | Change of basis | 1,3,5,7,11,13,15,17,21,25,T4,T7c |
| Fri 9 Apr | | Midterm 2 | |
| Tue 13 Apr | 6.8 | Orthonormal bases | 1,3,5,9,11,15,17,19,21,T6,T9 |
| Fri 16 Apr | 6.9 | Orthogonal complements | 1,3,7,9ab,11,13,T5 |
| Tue 20 Apr | 10.1 | Linear transformations | 1,3,5,17,19,T5 |
| 10.2 | | 1,3,9,11,17,T2 |
| Fri 23 Apr | 10.3 | Matrix of linear transformation | 1,3,13,15,17 |
| Tue 27 Apr | 8.1 | Eigenvalues, eigenvectors | 5,9,11,13,15,17cd,19,21,25,T6,T9,T11,T15 |
| Fri 30 Apr | 8.2 | Diagonalization | 1,3,5,9,13,15,19,23,25,29,39,41,46,T2,T6,T7 |
| Tue 4 May | | Midterm 3 | |
| Fri 7 May | 8.3 | Symmetric matrices | 1,2,5,9,17,T1,T6,T8 |
| Tue 11 May | 9.3 | Dynamical systems | 1,2,3,4,5 |
| Fri 14 May | | Review | |
| Tue 18 May | | Finals week | |
| Fri 21 May | | Finals week | |