Homework for Algebra

Math 361
Fall 2019
Max Kutler

Monday homework is due at the beginning of class, and Thursday homework is due outside my office by 3:00 PM.

The reading assignments are meant to complement the lectures, not mirror them completely. You are responsible for all material covered in the reading. Note that the book often uses slightly different notation than we do in class; sorting through this is a worthwhile exercise.

You are not required to typset your homework in LaTeX; however, you are encouraged to give it a try. Overleaf is a free online platform that allows you to produce LaTeX documents without installing anything on your computer.

There are many free online introductions to LaTeX. For instance, here is Overleaf's. You may find that the easiest way to get started is to take an existing document, such as the homework template linked below, and simply play around with editing it.

Homework template: .pdf, .tex, Overleaf (read only)


Please follow these guidelines when rewriting homework assignments.



Thursday, 8/29: Sets
Thursday, 9/5: Equivalence relations
Monday, 9/9: Binary operations
Thursday, 9/12: Isomorphisms
Monday, 9/16: Groups
Thursday, 9/19: Subgroups
Monday, 9/23: Subgroups and cyclic groups
Thursday, 9/26: Dihedral groups
Monday, 10/7: Exam I redux
Thursday, 10/10: Symmetric groups
Monday, 10/14: Conjugacy classes, Lagrange's theorem
Thursday, 10/17: Normal subgroups
Thursday, 10/24: Quotient groups
Monday, 10/28: More quotient groups, Fundamental Isomorphism Theorem
Thursday, 10/31: More Fundamental Isomorphism Theorem
Monday, 11/11: Group actions
Monday, 11/18: Stabilizers, fixed points, Burnside's Lemma
Thursday, 11/21: The Fundamental Theorem of Finitely Generated Abelian Groups
Monday, 11/25: Rings
Thursday, 12/5: Ideals