The following is a tentative syllabus for the course. This page will be updated irregularly. On the other hand, the weekly syllabus contained in the Homework assignments page will always be accurate.
| Week | Lectures | Sections in Text | Topics |
|---|---|---|---|
| 1 | 9/12 | Chap.1 | Presentation of the course |
| 9/14 | Chap.2 | Composition laws | |
| 2 | 9/17 | Chap.3,4 | Groups |
| 9/19 | Chap.5 | Subgroups | |
| 9/21 | Chap.5,6 | Generators, functions | |
| 3 | 9/24 | Chap.6 | Functions |
| 9/26 | Chap.9 | Isomorphisms | |
| 9/28 | Notes | Cayley graphs I | |
| 4 | 10/1 | Chap.12 | Equivalence relations |
| 10/2 | Quiz 1 | Exam practice session | |
| 10/3 | Chap.10 | Order of group elements | |
| 10/4 | 4:30-6:30 pm | Midterm Exam I | |
| 10/5 | Chap.11 | Cyclic groups | |
| 5 | 10/8 | Chap.7 | Groups of permutations |
| 10/10 | Chap.8 | Cayley's theorem | |
| 10/12 | Chap.13 | Cosets | |
| 6 | 10/15 | Chap.14 | Homomorphisms |
| 10/17 | Chap.15 | Quotient groups | |
| 10/19 | Chap.16 | Homomorphism theorem | |
| 7 | 10/22 | Notes | Cayley graphs II |
| 10/23 | Quiz 2 | Practice session | |
| 10/24 | Notes | Graph morphisms | |
| 10/25 | 4:30-6:30 pm | Midterm Exam II | |
| 10/26 | Notes | Automorphism groups | |
| 8 | 10/29 | Chap.17 | Rings |
| 10/31 | Chap.17 | Rings, Review: Groups | |
| 11/2 | Chap.18 | Ideals and homomorphisms | |
| 9 | 11/5 | Chap.19 | Quotient rings |
| 11/6 | 12:15-1:05 pm | Exam: Solving the cube | |
| 11/7 | Chap.19 | Special ideals and quotients | |
| 11/9 | Chap.20 | Integral domains | |
| 10 | 11/12 | Chap.20 | Integral domains |
| 11/13 | Quiz 3 | Review: Rings | |
| 11/15 | 4 pm | Essay about the cube | |
| 11/18 | 3-6 pm | Final Exam |