Test 3, Due November 21

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

I think it's pretty important to understand what it means for a set to be denumerable, and what that implies. Schroeder-Bernstein is really important; it helps get a a lot done. Understanding the relationships between gcd(a,b) and linear combinations is essential to number theory. 

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

A lot of comparing cardinalities of sets, knowing the differences between countable, uncountable, denumerable, infinite, etc. Number theory questions, especially in the free response. Some reproducing of theorems that are essential to know.

• 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.

Number theory problems, especially those that deal with divisibility and gcds. For an example in class, maybe 11.31 in the book (or something similar).