MAT 1100: Algebra I, Fall 2016
Instructor: Florian Herzig;
my last name at math dot toronto dot edu
Office Hours: by appointment, at BA 6186
TA: John Enns
Lectures: Tuesdays 10am-12pm, Thursdays 11am-12pm at BA 6183
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.
Useful books for reference (I will not really follow any of them)
- Lang, Algebra, 3rd ed.
- Dummit and Foote, Abstract Algebra, 2nd ed.
The term test will be on Tue, Oct 18, 10:10am-12pm in BA6183 (instead of class).
There will be no makeup test! If you miss the test for a valid reason, the grade will be reweighted as 35% homework and 65% final.
- Homework (5 assignments): 25%
- Term test: 25%
- Final: 50%
The final will be on Fri, Dec 16, 10am-1pm in BA6183.
Homework (tentative schedule)