Instructor: Juliette Bruce
Course on canvas.dartmouth.edu.⇗
Syllabus
Week | Topics | Pinter References |
Week 1 | Why Abstract Algebra?, Sets & Proofs, Operations & Groups | Chapters 1, 2, Appendix A |
Week 2 | Groups, Group Properties, Subgroups | Chapters 3, 4, 5 |
Week 3 | Functions, Permutation Groups, Cycles Decomposition | Chapters 6, 7, 8 |
Week 4 | Examples of Groups, Isomorphism | Chapters 8, 9, 10, 11 |
Week 5 | Equivalence Relations | Chapters 12 |
Week 6 | Cosets, Homomorphisms, Quotients | Chapters 13, 14, 15, 16 |
Week 7 | Group Actions, Rings, Ideals | Chapter 18, Appendix B |
Week 8 | Quotient Rings, Domains, Primes | Chapters 19. 20, 21, 22 |
Week 9 | Polynomial Rings | Chapters 24, 25, 26 |