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 | 9/12 | Chap.1 | Presentation of the course |
9/14 | Chap.2 | Composition laws | |
9/16 | Chap.3,4 | Groups | |
2 | 9/19 | Chap.5 | Subgroups |
9/21 | Chap.5,6 | Generators, functions | |
9/23 | Chap.9 | Isomorphisms | |
3 | 9/26 | Cayley graphs I | |
9/28 | Chap.12 | Equivalence relations | |
9/30 | Quiz 1 | Exam practice session | |
4 | 10/3 | Chap.10 | Order of group elements |
10/5 | Chap.11 | Cyclic groups | |
10/6 | Midterm I | Midterm Exam I | |
10/7 | Chap.7,8 | Groups of permutations | |
5 | 10/10 | Chap.8,13 | Cayley's theorem, cosets |
10/11 | 1:20-2:10 pm in KH 108 | Homework session | |
10/12 | Chap.14 | Homomorphisms | |
10/14 | Quiz 2 | Practice session | |
6 | 10/17 | Chap.15 | Quotient groups |
10/19 | Chap.16 | Homomorphism theorem | |
10/21 | Cayley graphs II | ||
7 | 10/24 | Graph morphisms | |
10/25 | Quiz 3 | Exam practice session | |
10/26 | Automorphism groups | ||
10/27 | Midterm II | Midterm Exam II | |
10/28 | Chap.17 | Rings | |
8 | 10/31 | Chap.17 | Rings, Review: Groups |
11/1 | 1:20-2:10 pm in KH 108 | Homework session | |
11/2 | Chap.18 | Ideals and homomorphisms | |
11/4 | Chap.19 | Quotient rings | |
9 | 11/7 | Chap.19 | Special ideals and quotients |
11/8 | 1:20-2:10 pm in KH 108 | Solving the cube (practice) | |
11/9 | Chap.20 | Integral domains | |
10 | 11/14 | Quiz 4 | Review: Rings |
11/15 | 1:20-2:10 pm in KH 108 | Exam: Solving the cube | |
11/17 | 4 pm in KH 318 | Essay about the cube |