1 | Groups | |
2 | Subgroups | |
3 | Cosets | |
4 | Cyclic Groups | HW 1 Due |
5 | Permutation Groups | |
6 | Conjugation in Sn
| |
7 | Isomorphisms | HW 2 Due |
8 | Homomorphisms and Kernels | |
9 | Quotient Groups | HW 3 Due |
10 | The Isomorphism Theorems | |
11 | The Alternating Groups | HW 4 Due |
12 | Presentations and Groups of Small Order | |
13 | Sylow Theorems and Applications | HW 5 Due |
14 | Rings | HW 6 Due |
E1 | Midterm 1 | |
15 | Basic Properties of Rings | |
16 | Ring Homomorphisms and Ideals | HW 7 Due |
17 | Field of Fractions | HW 8 Due |
18 | Prime amd Maximal Ideals | |
19 | Special Domains | HW 9 Due |
20 | Euclidean Domains | |
E2 | Midterm 2 | HW 10 Due |
21 | Polynomial Rings | |
22 | A Quick Primality Test | HW 11 Due |
23 | Group Actions and Automorphisms | |
24 | Review | |
E3 | Final Exam | |