| Week 1 |
Review |
| Week 2 |
Rings and ideals |
| Week 3 |
Modules |
| Week 4 |
Rings and modules of fractions |
| Week 5 |
Primary decomposition |
| Week 6 | Integral dependence and
valuations |
| Week 7 |
Chain conditions |
| Week 8 | Noetherian rings |
| Week 9 | Artin Rings |
| Week 10 | Discrete valuation rings and
Dedekind domains |
| Week 11 | Completions |
| Week 12 | Dimension theory |
| Week 13 | Derivations and differentials |
| Week 14 | Review |