| date | topic | |
| 1 | 10 Sep | A maximal independent set is a basis |
| 2 | 8 Oct | Examples of linear transformations |
| 3 | 15 Oct | Pythagorean triples |
| 4 | 22 Oct | Euclidean rings: examples and nonexamples |
| 5 | 29 Oct | Brahmagupta's equations |
| 6 | 5 Nov | Torsion-free modules for number rings |
| 7 | 12 Nov | Direct factors of torsion modules |
| 8 | 19 Nov | Newton's theorem on symmetric polynomials |
| 9 | 8 Dec | Splitting fields and normal extensions |
| 10 | 10 Dec | Separable extensions: odds and ends |