1. Which topics and theorems do you think are the most important out of those we have studied?
I think the topics of rings, homomorphisms, isomorphisms, and fields are most important. So knowing the definitions and important theorems and properties about each of these topics is probably really important. It is also probably good to know about the Euclidean algorithm.
2. What kinds of questions do you expect to see on the exam?
I expect to see questions that require you to know the definitions and use them to prove theorems similar to ones we did in class and on the homework. I expect the questions that are more algebraic in nature to be like the ones we did on the homework.
3. What do you need to work on understanding better before the exam?
I just need to review all the definitions. I understood the material when I was doing the homework, but it is recalling it on the spot and without notes that is difficult. So just reviewing all the elements that make something a ring, integral domain, field, etc. is what I need to study for the exam.
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