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
Reading: Review sections 1-8
HW9: .pdf, .tex, Overleaf
This assignment is not eligible for rewrite.
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
Reading: Section 16
HW16: .pdf, .tex, Overleaf
Rewrite due 11/25
This is the last assignment which is eligible for a rewrite.
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