Questions, Due February 9

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

Obviously any theorem with a name, such as "The Remainder Theorem", "The Division Algorithm" and so on and so forth. It seems like these first 4 chapters have been about division, factors, addition/multiplication operations

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

I'd expect some questions about definitions (such as, "What is a ring?"), questions that apply definitions ("give an example of a ring homomorphism"), and questions about theorems (stating, applying, and proving).

What do you need to work on understanding better before the exam?

Mainly I need to work on understanding chapter 4, especially getting a better understanding of irreducible polynomials and how to find them. I also have a hard time with "surjective", more specifically with how to prove that something is surjective.