- Group Theory: Isomorphism theorems, group actions, Jordan-Hoelder 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.

- Lang,
*Algebra*, 3rd ed. - Dummit and Foote,
*Abstract Algebra*, 2nd ed.

- Paul Selick's course notes (around 2011)
- Dror Bar Natan's course page (2014)
- Rotman, Robinson both in the GTM series (for groups; they cover much more!)

- Homework (5 assignments): 25%
- Term test: 25%
- Final: 50%

The final will be on

- Assignment 1, due Tue Oct 4
- Assignment 2, due Wed Oct 12
- Assignment 3, due Wed Nov 9
- Assignment 4, due Tue Nov 22
- Assignment 5, due Wed Dec 7

- George Bergman's companion to Lang's Algebra
- Handout by Dror Bar Natan on simplicity of A_n (n \ge 5)
- An example of a PID that is not Euclidean. (There is a much nicer proof that this ring is a PID, but it requires some algebraic number theory.)
- Proof of the elementary divisor theorem. (See Theorem 7.1 and its proof in these notes.)