What was the most interesting part of this material for you?
I think it's interesting that we don't need to actually know what the thing is that possesses the desired property, we can just prove it exists! It's interesting that we know every odd degree polynomial has at least one real number solution, even though we can't always find them!
What was the most difficult part of the material for you?
I had a hard time grasping the proof of "There exist irrational numbers a and b such that a^b is rational." It's difficult because it's similar to a normal case proof but each case deals with a different answer to a^b. That's what made it difficult.
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