The following is a tentative syllabus for the course. This page will be updated irregularly. On the other hand, the weekly syllabus contained in the Homework assignments page will always be accurate.
Week | Lectures | Sections in Text | Topics |
---|---|---|---|
1 | 9/11 | Chap.1 | Presentation of the course |
9/13 | Chap.2 | Composition laws | |
9/15 | Chap.3,4 | Groups | |
2 | 9/18 | Chap.5 | Subgroups |
9/20 | Chap.5,6 | Generators, functions | |
9/22 | Chap.6 | Functions | |
3 | 9/25 | Chap.9 | Isomorphisms |
9/27 | Cayley graphs I | ||
9/28 | Quiz 1 | Exam practice session | |
9/29 | Chap.12 | Equivalence relations | |
4 | 10/2 | Chap.10 | Order of group elements |
10/4 | Chap.11 | Cyclic groups | |
10/5 | 4:30-6:30 pm | Midterm Exam I | |
10/6 | Chap.7 | Groups of permutations | |
5 | 10/9 | Chap.8 | Cayley's theorem |
10/11 | Chap.13 | Cosets | |
10/12 | Quiz 2 | Practice session | |
10/13 | Chap.14 | Homomorphisms | |
6 | 10/16 | Chap.15 | Quotient groups |
10/18 | Chap.16 | Homomorphism theorem | |
10/20 | Cayley graphs II | ||
7 | 10/23 | Graph morphisms | |
10/25 | Automorphism groups | ||
10/26 | 4:30-6:30 pm | Midterm Exam II | |
10/27 | Chap.17 | Rings | |
8 | 10/30 | Chap.17 | Rings, Review: Groups |
11/1 | Chap.18 | Ideals and homomorphisms | |
11/3 | Chap.19 | Quotient rings | |
9 | 11/6 | Chap.19 | Special ideals and quotients |
11/8 | Chap.20 | Integral domains | |
11/9 | 1:20-2:10 pm | Exam: Solving the cube | |
11/10 | Chap.20 | Integral domains | |
10 | 11/13 | Quiz 3 | Review: Rings |
11/16 | 4 pm | Essay about the cube | |
11/19 | 11:30-2:30 pm | Final Exam |