| Lecture | Date | Section | Notes | Homework |
|---|---|---|---|---|
| 1 | 8/27 | Overview of course | ||
| 2 | 8/29 | 0 | Integers & Induction | |
| 3 | 9/1 | 0 | Equivalence Relations & Functions | |
| 4 | 9/3 | 1 | Introduction to Groups | |
| 5 | 9/5 | 2 | Binary Operations | |
| 6 | 9/8 | 3 | Isomorphic Binary Structures | |
| 7 | 9/10 | 4 | Groups | |
| 8 | 9/12 | 4 | Groups | Homework 1 Due |
| 9 | 9/15 | 5 | Subgroups | |
| 10 | 9/17 | 6 | Cyclic Groups | |
| 11 | 9/19 | 6 | Cyclic Groups | |
| 12 | 9/22 | Review | ||
| 13 | 9/24 | Midterm 1 | ||
| 14 | 9/26 | 8 | Groups of Permutations | |
| 15 | 9/29 | 8 | Groups of Permutations | |
| 16 | 10/1 | 9 | Orbits, Cycles, and the Alternating Groups | |
| 17 | 10/3 | 9 | Orbits, Cycles, and the Alternating Groups | |
| 18 | 10/6 | 9 | Orbits, Cycles, and the Alternating Groups | |
| 19 | 10/8 | 10 | Cosets and the Theorem of Lagrange | |
| 20 | 10/10 | 10 | Cosets and the Theorem of Lagrange | Homework 2 Due |
| 21 | 10/13 | 11 | Direct Products and Finitely Generated Abelian Groups | |
| 22 | 10/15 | 11 | Direct Products and Finitely Generated Abelian Groups | |
| 23 | 10/17 | 13 | Homomorphisms | |
| 24 | 10/22 | 13 | Homomorphisms | |
| 25 | 10/24 | 14 | Products of Sets & Coset Multiplication | Homework 3 Due |
| 26 | 10/27 | Review | ||
| 27 | 10/29 | Midterm 2 | ||
| 28 | 10/31 | 14 | Factor Groups | |
| 29 | 11/3 | 15 | Factor Group Computations | |
| 30 | 11/5 | 16 | Group Actions | |
| 31 | 11/7 | 18 | Rings and Fields | |
| 32 | 11/10 | 19 | Integral Domains | |
| 33 | 11/12 | 20 | Fermat's and Euler's Theorems | |
| 34 | 11/14 | 20 | Fermat's and Euler's Theorems | Homework 4 Due |
| 35 | 11/17 | Review | ||
| 36 | 11/19 | Midterm 3 | ||
| 37 | 11/21 | 26 | Homomorphisms and Factor Rings | |
| 38 | 11/24 | 27 | Prime and Maximal Ideals | |
| 39 | 12/1 | 23 | TBA | |
| 40 | 12/3 | 23 | TBA | |
| 41 | 12/5 | TBA | ||
| 42 | 12/8 | The Big Picture | Homework 5 Due |