Questions, Due March 7

Which topics and theorems do you think are the most important out of those we have studied?


I think some of the most important topics is understanding F[x]/(p(x)) and what that means. Also, the first isomorphism theorem is quite important along with the proof. Examples and non-examples I think will also help a lot.

What kinds of questions do you expect to see on the exam?


I expect to see questions that ask to list examples and non-examples and various things. I also expect to see questions that deal with F[x]/(p(x)) and possibly listing the possible congruence classes. Also, proofs with groups and if something is a group.

What do you need to work on understanding better before the exam? Come up with a mathematical question you would like to see answered or a problem you would like to see worked out.

I need to work on thinking of examples of maximal ideals, like with problem number 5 as a sample problem it says, Give an example of a maximal ideal in a ring that does not contain all proper ideals of the ring.  I also need more work on describing what a quotient ring means. So like problem 6 says to give an example of a prime ideal in ZxZ that is not maximal and describe the quotient ring ZxZ/I.