| Tuesday |
Thursday |
| Sep 8: Introduction and Preliminaries (Chapter 1) |
|
| Sep 13: Definitions; Elementary properties of groups (Chapter 2) | Sep 15: Subgroups introduced (Chapter 3) |
| Sep 20: Subgroups concluded; Cyclic groups introduced (Chapters 3-4) |
Sep 22: Cyclic groups concluded; Permutation groups introduced (Chapters 4-5)
|
| Sep 27: Permutation groups (Chapter 5) |
Sep 29: Even and odd permutations; isomorphisms introduced (Chapters 5-6) |
| Oct 4: Isomorphisms; Cayley's Theorem (Chapter 6) |
Oct 6: Properties of isomorphisms; automorphisms (Chapter 6) |
| Oct 11: Cosets and Lagrange's Theorem (Chapter 7) | Oct 13: Lagrange's Theorem (Chapter 7) |
| Oct 18: Orbit-stabiliser Theorem; Direct products (Chapters 7-8) | Oct 20: Direct products concluded (Chapter 8) |
| Oct 25: Catch-up and Review | Oct 27: Midterm Exam |
| Nov 1: Rings and their properties (Chapter 12) | Nov 3: Subrings; integral domains and fields (Chapters 12-13) |
| Nov 8: Characteristic; Normal subgroups (Chapters 13 and 9) | Nov 10: Quotient groups (Chapter 9) |
| Nov 15: Internal direct products; Homomorphisms (Chapters 9-10) | Nov 17: Homomorphisms (Chapter 10) |
| Nov 22: Isomorphism theorems (Chapter 10) | Nov 24: Ideals; factor rings (Chapter 14) |
| Nov 29: Galois Theory; Ring homomorphisms, isomorphisms (Chapter 15) | Dec 1: Divisibility tests; Sylow Theorems (Chapter 24) |
| Dec 6: Sylow Theorem proofs (Chapter 24) | Dec 8: Review and catch-up |
|
Final Exam:
2pm on Tues, Dec 13
|