- Which topics and theorems do you think are the most important out of those we have studied?
The topic of proof by induction will be very important to know. Also understanding equivalence relations will be useful. Also proving in the generalized case that the composition of functions is onto or one-to-one given certain properties of the functions that compose it.
- What kinds of questions do you expect to see on the exam?
I expect to see true of false questions related to whether or not a function has properties of bijective, injective, surjective, transitive, symmetric, reflexive, etc. I expect to see questions about proving by induction a formula that maps a sum and mostly things we have covered so far.
- What do you need to work on understanding better before the exam?
I do not yet understand how to do proofs with equivalence classes. I am not sure what is sufficient for those proofs and for proof of compositions of function.
- Come up with a mathematical question you would like to see answered or a problem you would like to see worked out.
I would like to see Number 22 on the practice midterm 3 worked out.
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