I will be teaching MAT1100 Algebra I in Fall 2025.Â
Lang, Algebra, 3rd ed.
Dummit and Foote, Abstract Algebra, 3rd ed.
Group Theory: Isomorphism theorems, group actions, Jordan-Holder theorem, Sylow theorems, direct and semidirect products, finitely generated abelian groups, simple groups, symmetric groups, linear groups, solvable groups, free groups, generators and relations.
Ring Theory: Rings, ideals, Euclidean domains, principal ideal domains, unique factorization domains, field of fractions.
Modules: Modules, tensor products, modules over a principal ideal domain, applications to linear algebra
Term test 1: 30%
Term test 2: 30%
Final: 40%
There will be about 5 homework assignments. The homework score will not count towards your grade, but you can receive feedback if you submit them before the deadline.
The term tests will be on Thu, Oct 16, 1:30-3:00 and Tue, Nov 18, 1:30-3:00 (instead of class). If you miss the test for a valid reason, you will have an oral test instead.
Hw1 (due Sept 16)
Hw2 (due Sept 30)
To be added soon.