| Week | Subject | Sections from Aluffi | Problem Set |
|---|---|---|---|
| Week 0 | Set Theory and Category Theory | Chapter 1 | Problem Set |
| Week 1 | The definition of a group and examples | Sections 2.1 and 2.2 | Problem Set |
| Week 2 | Group homomorphisms and the category of groups | Sections 2.3 and 2.4 | Problem Set |
| Week 3 | Subgroups, normality, and quotient groups | Sections 2.6 and 2.7 | Problem Set |
| Week 4 | Cannonical decomposition and Lagrange's theorem, presentations and free groups | Sections 2.5 and 2.8 | Problem Set |
| Week 5 | Group actions, the conjugation action, and the class formula | Sections 2.9 and 4.1 | Problem Set |
| Week 6 | The Sylow theorems | Section 4.2 | Problem Set |
| Week 7 | Composition series and solvability | Section 4.3 | Problem Set |
| Week 8 | The symmetric group | Section 4.4 | Problem Set |
| Week 9 | More products of groups, exact sequences of groups, the extension problem | Section 4.5 | Problem Set |
| Week 10 | The classification of finite abelian groups | Section 4.6 |
| Week | Subject | Sections from Dummit & Foote | Problem Set |
|---|---|---|---|
| Week 0 | The definition of a ring and examples | Sections 7.1 and 7.2 | Problem Set |
| Week 1 | Ring homomorphisms, quotient rings, and ideals | Section 7.3 and 7.4 | Problem Set |
| Week 2 | Euclidean domains, P.I.D.s, and U.F.D.s | Sections 8.1, 8.2, and 8.3 | |
| Week 3 | Polynomial rings | Sections 9.1, 9.2, and 9.3 | |
| Week 4 | More polynomial rings | Sections 9.4 and 9.5 | |
| Week 5 | Field extensions and geometry | Sections 13.1, 13.2, and 13.3 | |
| Week 6 | More field theory | Sections 13.4, 13.5, and 13.6 | |
| Week 7 | The fundamental theorem of Galois theory | Sections 14.1 and 14.2 | |
| Week 8 | Field extensions and geometry | Sections 14.4 and 14.5 | |
| Week 9 | Galois groups of polynomials | Section 14.6 | |
| Week 10 | The Abel-Ruffini theorem | Section 14.7 |