Also, just because this class is over, don't feel like you can no longer ask me questions.
If you ever have a question (mathematical or otherwise), please stop by my office or send
me an email. I'm happy to help if I can.
I hope you all have a fantastic Christmas break!
11/20
Our Final Exam is Monday, December 11th from 8am until 10:30am in our regular classroom WA 302.
This exam will be cumulative. I will allow one page of notes (one side of one sheet
of standard sized paper). Make it count. Fill out theorems, examples, etc. that might
be helpful.
I have some old final exams posted here.
They should give you an idea of the kinds of things I might ask.
Test #3 is next Wednesday (November 8th).
It will cover chapters 7-11. This includes cosets, normal subgroups,
quotient groups, homomorphisms, the first isomorphism theorem, direct
products of groups, and the classification of finite abelian groups.
Test #1 is Wednesday (9/20).
It will cover Chapters 0, 1, 2, 3, & part of Chapter 4.
We have covered the bulk of what is in Chapter 0, but I don't plan on asking questions directly
about this material. The one specific tool you need from this chapter is the Extended Euclidean
Algorithm.
All of Chapters 1, 2, and 3 are relevant.
We have not covered much of Chapter 4. The one specific thing I do want you to know from
this chapter is how to draw the subgroup lattice for Z mod n (under addition mod n).
You should also know how to find cyclic subgroups and what "cyclic" means.
Overall, I plan to write a test very similar in style to recent Test #1s.
Old homework, suggested homework, notes, and the textbook are all good things
to consider, but looking at old tests is probably the best way to study for
Wednesday's test.