Syllabus for Math 551 (Graduate Abstract Algebra I)
Topics (mostly from Dummit and Foote)
- Overview of algebraic structures, including categories and universal algebra (Various sources, including Appendix II)
- (Mostly Finite) Groups (Chapters 1-6, with emphasis on 4.3, 4.5, Chapter 5 and 6.1)
- Rings (Chapters 7-9, with emphasis on 7.5, 7.6, 8.2, Chapter 9)
- Modules and Vector Spaces (Chapters 10-12, with emphasis on, 10.4, 10.5, 11.5, Chapter 12)
- Field Theory and Galois Theory (Chapters 13-14)
- Representations of Finite Groups (Chapters 18, and some of 19 as time permits)
- Additional topics as time permits
Administrative Details
Grading:
- Homework 30% (lowest 2 scores dropped)
- Midterm 30%
- Final 40%
Any issues with grading needs to be submitted in writing, on a separate
sheet of paper attached to your exam/quiz/homework, stating which problem
was graded incorrectly, and what the issue was
Class policies
- No cell-phones, no laptops, no calculators, no electronic devices