The following is a tentative schedule for the course. Sections in text refer Pinter's book. Please check back regularly for updates as the term progresses.
| Day | Date | Sections in Text | Brief Description |
|---|---|---|---|
| 1 | 13 Sep (M) | 1 | Why Abstract Algebra? |
| 2 | 15 Sep (W) | 2 | Operations (and Appendix A: Set Theory) |
| 3 | 17 Sep (F) | 3 | The Definition of Groups |
| 4 | 20 Sep (M) | 4 | Elementary Properties of Groups |
| 5 | 22 Sep (W) | 5 | Subgroups |
| 6 | 24 Sep (F) | 6 | Functions |
| 7 | 27 Sep (M) | 7 | Groups of Permutations |
| 8 | 29 Sep (W) | 8 | Permutations of a Finite Set |
| 9 | 2 Oct (M) | 9 | Isomorphism |
| 10 | 4 Oct (M) | 10 | Order of Group Elements |
| 11 | 6 Oct (W) | Exam 1 | |
| 12 | 8 Oct (F) | 11 | Cyclic Groups (and Appendix B: Integers) |
| 13 | 11 Oct (M) | 12 | Partitions and Equivalence Relations |
| 14 | 13 Oct (W) | 13 | Counting Cosets |
| 15 | 15 Oct (F) | 14 | Homomorphisms |
| 16 | 18 Oct (M) | 15 | Quotient Groups |
| 17 | 20 Oct (W) | 16 | The Fundamental Homomorphism Theorem |
| 18 | 22 Oct (F) | 17 | Rings: Definitions and Elementary Properties |
| 19 | 25 Oct (M) | 18 | Ideals and Homomorphisms |
| 20 | 27 Oct (W) | Exam 2 | |
| 21 | 29 Oct (F) | 19 | Quotient Rings |
| 22 | 1 Nov (M) | 20 | Integral Domains |
| 23 | 3 Nov (W) | 21 | The Integers (and Appendix C: Induction) |
| 24 | 5 Nov (F) | 22 | Factoring Into Primes |
| 25 | 8 Nov (M) | 24 | Rings of Polynomials |
| 26 | 10 Nov (W) | 25 | Factoring Polynomials |
| 27 | 12 Nov (F) | 26 | Substitution in Polynomials |
| 28 | 15 Nov (M) | Wrap-up | |
| TBD | Final Exam |