| Date | Topic | Sections | Recommended Exercises |
|---|---|---|---|
| Tuesday 27 May | row reduction | 1.1-1.2 | section 1.1: 1b, 6bdh, 10 section 1.2: 2ad, 6ab, 7, 8, 9, 10, 20a |
| Wednesday 28 May | matrix algebra | 1.3 | section 1.3: 10, 13, 22, 23, 29 |
| Thursday 29 May | elementary matrices | 1.4 | section 1.4: 3, 4, 6, 8ac, 10ag, 15, 19 |
| Friday 30 May | determinants | 2.1-2.2 | section 2.1: 3abdg, 4, 6, 11 section 2.2: 1, 2, 3ade, 6, 10 |
| Monday 2 June | vector spaces and subspaces | 3.1-3.2 | section 3.1: 3, 15 section 3.2: 1, 2, 3defg, 4ad, 5ac, 6ade, 8, 10bc, 12, 13, 14, 17 |
| Tuesday 3 June | linear independence | 3.3 | section 3.3: 2, 3, 4c, 5, 6bc, 8, 10 |
| Wednesday 4 June | basis and dimension | 3.4 | section 3.4: 2, 4, 7, 8, 14ac, 15 |
| Thursday 5 June | change of basis | 3.5 | section 3.5: 1, 2, 5, 6, 9, 10 |
| Friday 6 June | Exam 1 | ||
| Monday 9 June | row space and column space | 3.6 | section 3.6: 1c, 2c, 4ab, 6, 8, 9, 11, 13 |
| Tuesday 10 June | linear transformations | 4.1 | section 4.1: 4, 6bd, 7ac, 10, 17, 19a, 21, 22, 23 |
| Wednesday 11 June | matrix representations | 4.2 | section 4.2: 2, 5, 14ad, 15, 18ac |
| Thursday 12 June | similarity | 4.3 | section 4.3: 4, 5, 6, 7, 11, 15 |
| Friday 13 June | scalar product | 5.1 | section 5.1: 1ab, 2ab, 3a, 5, 8, 10, 13, 14 |
| Monday 16 June | orthogonal subspaces | 5.2 | section 5.2: 1ad, 2, 4, 6, 9, 12, 15 |
| Tuesday 17 June | least squares | 5.3 | section 5.3: 1c, 3ab, 5, 6, 10 |
| Wednesday 18 June | inner product spaces | 5.4 | section 5.4: 1, 3, 7, 8, 9, 13, 28 |
| Thursday 19 June | orthonormal sets | 5.5 | section 5.5: 2, 6, 9, 21, 27, 30 |
| Friday 20 June | Gram–Schmidt | 5.6 | section 5.6: 3, 4, 7, 11 |
| Monday 23 June | eigenvalues and eigenvectors | 6.1 | section 6.1: 1bcdfjk, 4, 7, 10, 11, 13 |
| Tuesday 24 June | differential equations | 6.2 | section 6.2: 1aef, 2abc, 6, 10 |
| Wednesday 25 June | diagonalization | 6.3 | section 6.3: 1df, 2df, 3df, 4, 7, 12, 27ac, 28ac |
| Thursday 26 June | catch-up and review | ||
| Friday 27 June | Exam 2 = final exam | ||