Course calendar:
| Monday | Wednesday | Friday | |
|---|---|---|---|
| Week 1 | Aug 28: First day of class! Groups! |
Aug 30 | Sep 1: Subgroups! |
| Week 2 | Sep 4: Labor day, no class today. | Sep 6: Quiz #1 Exercises: Chapter 1: 11, 13, 16, 24, Chapter 2: 1--5, 15, 20, 33, 51 |
Sep 8: Assignment #1 due. Problems: Chapter 2: 19, 22, 24, 25, 32, 46, 54 |
| Week 3 | Sep 11: Cyclic groups! | Sep 13: Quiz #2 Exercises: Chapter 3: 1, 7, 9, 10, 18, 27, 43, 44, 47, 57, 58, 63 Chapter 4: 4, 7, 16, 32 |
Sep 15: Assignment #2 due. Problems: Chapter 3: 16, 20, 60, 70, 74, 78, 80 Chapter 4: 22, 36 |
| Week 4 | Sep 18: Permutation groups! | Sep 20: Collecting group journals today. | Sep 22: Quiz #3. Exercises: Chapter 4: 10, 12, 13, 14, 18 Chapter 5: 1, 2, 3, 5, 9, 10 Introduction to groups with cocalc, Sage, and GAP today. Visit cocalc.com. Documentation: Groups with Sage and Rubik's cube with Sage. |
| Week 5 | Sep 25: Assignment #3 due. Problems: Chapter 4: 52, 64, 82 Chapter 5: 38, 50, 60, 66 |
Sep 27 Group isomorphisms! | Sep 29 |
| Week 6 | Oct 2 | Oct 4: Exercises: Chapter 5: 16, 18, 25, 31, 41 Chapter 6: 1, 4, 5, 7, 8, 28 Quiz #4. |
Oct 6: Cosets! Assignment #4 due. Problems: Chapter 5: 35, 78 Chapter 6: 8, 24, 30, 38, 40, 61 |
| Week 7 | Oct 9: Midterm given out. | Oct 11 | Oct 13 Group products! |
| Week 8 | Oct 16 | Oct 18: Midterm due. Factor groups! |
Oct 20: Mid-semester day, no class! |
| Week 9 | Oct 23 Exercises: Chapter 7: 3, 5, 7, 39, 43, 45, 57, 59 Chapter 8: 7, 15, 21, 25, 39, 41 Quiz #5. |
Oct 25: | Oct 27 Assignment #5 due. Problems: Chapter 7: 24, 38 Chapter 8: 12, 32, 58, 60, 64 |
| Week 10 | Oct 30: Collecting group journals today. | Nov 1 Group homomorphisms! | Nov 3: Quiz #6 Exercises: Chapter 9: 8, 10, 11, 16, 17, 23, 28, 31, 33, 34, 43, 57. |
| Week 11 | Nov 6: Assignment #6 due. Problems: Chapter 9: 24, 26, 54, 56, 58, 62, 68 |
Nov 8 | Nov 10 |
| Week 12 | Nov 13: Quiz #7 Exercises: Chapter 10: 2, 4, 5, 6, 7, 9, 10, 14, 21, 23, 37, 47, 55 The Fundamental Theorem of Finite Abelian Groups! |
Nov 15: Assignment #7 due. Problems: Chapter 10: 16, 18, 24, 41, 42, 50, 52 |
Nov 17: Rings! |
| Nov 20: THANKS | Nov 22: GIVING | Nov 24: BREAK! | |
| Week 13 | Nov 27: | Nov 29 Integral domains! | Dec 1: Quiz #8 Exercises: Chapter 11: 2, 3, 10, 23 Chapter 12: 1, 2, 3, 9, 23, 27, 31, 45 |
| Week 14 | Dec 4: Ideals! Assignment #8 due. Problems: Chapter 11: 28, 38 Chapter 12: 22, 28 Chapter 13: 44, 46 |
Dec 6 | Dec 8: Group journal round 3. Pick one of two assignment options. |
| Tuesday Dec 12: Final exam due. |