| Weeks | Topics | |
| 1 | How to solve a system of linear equations? | 1.1-1.3 |
| 2 | Let's use matrices | 1.4-1.6 |
| 3 | Vector spaces and subspaces | 2.1-2.2 |
| 4 | Bases, coordinates | 2.3-2.4 |
| 5 | Computations | 2.5-2.6 |
| 6 | Linear transformations * | 3.1-3.2 |
| 7 | Representations | 3.3-3.4 |
| *** | EXAM I | 1.1-2.6 |
| 8 | Linear functionals, transpose | 3.5-3.7 |
| 9 | Polynomials, Lagrange interpolation | 4.1-4.3 |
| 10 | Polynomial ideals, factorization | 4.4-4.5 |
| 11 | Holiday | |
| 12 | Determinant function | 5.1-5.2 |
| 13 | Properties of determinant | 5.3-5.4 |
| *** | EXAM II | 3.1-4.5 |
| 14 | Modules, multilinear functions | 5.5-5.6 |
| 15 | Review | 1.1-5.6 |
| * No lecture on 29 October 2002, Tuesday. | ||