This is a repository of course materials for Math 612: Graduate Algebra. More information can be found on Canvas. If you don't have access to Canvas for any reason, let me know ASAP.
Class information:
Syllabus
Tentative schedule
Office hours will be: Wednesday, 1:30 - 2:30, Thursday, 11:30 - 12:30, and Friday, 2 - 3 in LGRT 1242.
There will be a class Discord server and we will use Gradescope for homework submission. Check Canvas for links.
Class notes:
February 1: introduction to field extensions
February 6: algebraic extensions
February 8: algebraic extensions, straightedge and compass constructions
February 13: splitting fields and algebraic closures
February 15: algebraic closures exists and separable and inseparable polynomials
February 20: separable extensions, finite fields, and cyclotomic extensions
February 27: introduction to Galois theory
February 29: more Galois theory and the Fundamental Theorem
March 5 - 7: proof of Fundamental Theorem
March 12: midterm review
March 14: midterm (see Canvas for solutions)
Homework assignments:
Homework 1: due Sunday, February 11
Homework 2: due Sunday, February 18 (note the 13.5 problems have been moved to homework 3; you may have to refresh the page)
Homework 3: due Sunday, February 25
Homework 4: due Sunday, March 3
Homework 5: due Wednesday, March 13