1/26: The first meeting is on Monday January 27.
1/26: The first session is on Friday January 31.
3/09: Solution of the midterm test.
4/07: Solution of the makeup test.
| Date | Topic | Sections | Homework | Due Date |
| Week 1 | ||||
| Jan 27 | Introduction. Symmetric Polynomials | 4.5 | ||
| Jan 29 | Irreducibles and Factorizations | 5.1 | ||
| Week 2 | Feb 14 | |||
| Feb 3 | Unique factorizations | 5.1 | 5.1: 8, 10, 11, 15, 18, 21, 29, 34, 37, 39 | |
| Feb 5 | UFD | 5.1 | ||
| Week 3 | Feb 21 | |||
| Feb 10 | UFD | 5.1 | 5.2: 5, 6, 7, 8, 10, 12, 15, 16, 24, 30. | |
| Feb 12 | UFD, and PID | 5.2 | ||
| Week 4 | Feb 28 | |||
| Feb 17 | PID and Euclidean domains | 5.2 | 7.1: 2, 4, 5, 6, 8, 15, 16, 19, 20, 25. | |
| Feb 19 | Modules | 7.1 | ||
| Week 5 | Mar 10 | |||
| Feb 24 | Modules over PID | 7.2 | 7.2: 1(c), 3(a), 7, 8, 10, 12, 14, 17, 18, 24 | |
| Feb 26 | Fundamental Theorem of Finitely Generated Abelian Groups | 7.2 | ||
| Week 6 | Mar 14 | |||
| Mar 3 | Fundamental Theorem of Finitely Generated Abelian Groups | 7.2 | ||
| Mar 5 | Fundamental theorem | 7.2 | ||
| Week 7 | ||||
| Mar 10 | Review | |||
| Mar 12 | Review | |||
| Week 8 | Apr 4 | |||
| Mar 24 | Session | 6.2 | 6.2: 2 (c), 7, 15, 16, 21; 6.3: 1(d), 3, 4(f), 8, 15. | |
| Mar 26 | Algebraic Extensions, Splitting fields | 6.3 | ||
| Week 9 | ||||
| Mar 31 | Splitting Fields | 6.3 | ||
| Apr 2 | Splitting fields | 6.3 | ||
| Week 10 | Apr 14 | |||
| Apr 7 | Splitting Fields | 6.3 | 6.3: 9, 11, 18 6.4: 1(d), 2, 3, 5, 7, 12, 14. | |
| Apr 9 | Finite Field | 6.4 | ||
| Week 11 | Apr 21 | |||
| Apr 14 | Galois Theory | 10.1 | 10.1: 4, 7, 9, 10(a), 12, 13, 15(b), 18, 20, 23. | |
| Apr 16 | More on Galois groups | 10.1 | ||
| Week 12 | May 2 | |||
| Apr 23 | The Main Theorem of Galois theory | 10.1, 10.2 | 10.2: 3, 5, 7, 13, 14, 20; 10.3: 7, 8; 10.4: 1(d), 3. | |
| Apr 25 | The main theorem of Galois theory | 10.2 | ||