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