| Date | Topic |
| Wed 8/30 | 0 Sets |
| Fri 9/1 | 1 Examples, 2 Binary operations |
| Mon 9/4 | Labor Day - no classes |
| Tues 9/5 | 3 Isomorphic structures |
| Wed 9/6 | 4 Groups |
| Fri 9/8 | More 4 Groups |
| Mon 9/11 | 5 Subgroups |
| Tues 9/12 | Seminar day |
| Wed 9/13 | 6 Cyclic groups |
| Fri 9/15 | 8 Permutation groups |
| Mon 9/18 | More 8 Permutation groups |
| Tues 9/19 | Seminar day |
| Wed 9/20 | 9 Cycles |
| Fri 9/22 | 10 Cosets |
| Mon 9/25 | More 10 Cosets |
| Tues 9/26 | Seminar day |
| Wed 9/27 | 11 Direct products |
| Fri 9/29 | 13 Homomorphisms |
| Mon 10/2 | More 13 Homomorphisms |
| Tues 10/3 | Seminar day |
| Wed 10/4 | 14 Factor groups |
| Fri 10/6 | More 14 Factor groups |
| Mon 10/9 | 15 Simple groups |
| Tues 10/10 | Catch up, review |
| Wed 10/11 | First midterm (take-home). No class meeting. |
| Fri 10/13 | 16 Group actions |
| Mon 10/16 | More 16 Group actions |
| Tues 10/17 | 36 Sylow theorems |
| Wed 10/18 | 18 Rings and fields |
| Fri 10/20 | Fall break - no classes |
| Mon 10/23 | More 18 Rings and fields |
| Tues 10/24 | Seminar day |
| Wed 10/25 | 19 Integral domains |
| Fri 10/27 | 20 Fermat's theorem |
| Mon 10/30 | 21 Quotient fields |
| Tues 10/31 | Seminar day |
| Wed 11/1 | 22 Polynomial rings |
| Fri 11/3 | More 22 Polynomial rings |
| Mon 11/6 | 23 Factoring |
| Tues 11/7 | Seminar day |
| Wed 11/8 | 26 Homomorphisms, factor rings |
| Fri 11/10 | 27 Prime and maximal ideals |
| Mon 11/13 | More 27 Prime and maximal ideals |
| Tues 11/14 | Catch up, review |
| Wed 11/15 | Second midterm (take-home). No class meeting. |
| Fri 11/17 | 29 Extension fields |
| Mon 11/20 | 30 Vector spaces |
| Tues 11/21 | Seminar day |
| Wed 11/22 | Thanksgiving break - no classes |
| Fri 11/24 | |
| Mon 11/27 | 31 Algebraic extensions |
| Tues 11/28 | 31 Algebraic extensions |
| Wed 11/29 | Seminar day |
| Fri 12/1 | 32 Geometric constructions |
| Mon 12/4 | 33 Finite fields |
| Tues 12/5 | Seminar day |
| Wed 12/6 | Fundamental group |
| Fri 12/8 | More fundamental group |
| Mon 12/11 | Catch up, review |