- Which topics and theorems do you think are the most important out of those we have studied?
I personally think the most important topics are the three kinds of proofs and the axioms. As long as you are able to remember those, you should be able to prove theorems if you dont have them explicitly memorized
- What kinds of questions do you expect to see on the exam?
I expect to see a lot of proofs using the principles of sets we learned in chapter one. This is the best way to test comprehensive knowledge, because you have to know both the information on sets and the strategies to conduct a proper proof.
- 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
The biggest thing I need to work on, (after taking the practice exam) is not to mess up on the little things and make sure I have all the definitions down soundly. I would like to see a couple of proofs involving sets (them being equal and subsets), and problems with congruence and modulo stuff.
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