Instructor: Andrew Hanlon
Course on canvas.dartmouth.edu.⇗
Syllabus
| Date | Topic | References |
| M 9/11 | Why Abstract Algebra? | Ch. 1, Notes Download Notes |
| W 9/13 | Sets and proof | Appendix A, Notes Download Notes |
| F 9/15 | Operations and groups | Ch. 2, Notes Download Notes |
| M 9/18 | More on groups | Ch. 3, Notes Download Notes |
| W 9/20 | Basic properties of groups | Ch. 4, Notes Download Notes |
| F 9/22 | Subgroups | Ch. 5, Notes Download Notes |
| M 9/25 | Functions | Ch. 6, Notes Download Notes |
| W 9/27 | Permutation groups | Ch. 7, Notes Download Notes |
| F 9/29 | Cycle decomposition of permutations | Ch. 8, Notes Download Notes |
| M 10/2 | Alternating group, Dihedral group | Ch. 8, Notes Download Notes |
| W 10/4 | Isomorphisms | Ch. 9, Notes Download Notes |
| F 10/6 | Order of group elements, cyclic groups | Ch. 10,11, Notes Download Notes |
| M 10/9 | Review | Notes Download Notes |
| W 10/11 | Midterm | |
| F 10/13 | Partitions and equivalence relations | Ch. 12, Notes Download Notes |
| M 10/16 | Counting cosets | Ch. 13, Notes Download Notes |
| W 10/18 | Homomorphisms | Ch. 14, Notes Download Notes |
| F 10/20 | Quotient groups, fundamental homomorphism theorem | Ch. 15,16, Notes Download Notes |
| M 10/23 | Group actions | Notes Download Notes |
| W 10/25 | Integers, basic properties of rings | Appendix B, Ch. 17, Notes Download Notes |
| F 10/27 | Ideals and ring homomorphisms | Ch. 18, Notes Download Notes |
| M 10/30 | Quotient rings | Ch. 19, Notes Download Notes |
| W 11/1 | Integral domains | Ch. 20, Notes Download Notes |
| F 11/3 | Integers and prime factorization | Ch. 21,22, Notes Download Notes |
| M 11/6 | Polynomial rings | Ch. 24, Notes Download Notes |
| W 11/8 | Factoring polynomials | Ch. 25, Notes Download Notes |
| F 11/10 | Polynomial substitution | Ch. 26, Notes Download Notes |
| M 11/13 | Review | Notes Download Notes |