3.3

1) I found it difficult to remember I was dealing with functions f(a) in the case of iso- and homomorphisms, and not simply elements a.

2)I enjoyed seeing how different sets could be seen as relabelings of other sets. It just opened up my mind to the potential of many more relationships and unique perspectives.

2-3/3-1

1) I always have a hard time understanding the purpose of existence and uniqueness proofs. In trying to follow the logic, I have the same feeling when I try to follow circular logic. I don't see what we accomplish. It's still hard to see how to prove something I instinctively know to be true.

2) After reading Theorem 2.11 and the facts leading up to it, I really felt it worked like magic. And then I started to wonder, hmm, why does it work, and then I knew a proof was coming. And then it did. I feel like I have a special spidey sense for upcoming proofs now.

1.3/Appendix D

1) As i was trying to read through the proofs for the prime number theories, I found it most difficult to see the underlying mathematic principle behind the obscuring formality. I would read through, trying to think what p's and q's had to do with math, and then put numbers in to realize what it was trying to teach me.

2) The most enjoyable part of the sections for me was seeing that you really could prove things I took to be so simple that it was beyond any need to be proven. Now I know it can be done.

1.1-1.2

1. The most difficult thing for me was following the proofs. Proofs have never been easy for me and the thought process seems circular to me.

2. I enjoyed seeing how important remainders are in divisibility. In my public education, the remainder was fairly useless and mostly overlooked. By reading this chapter, I find the remainder to be the most fascinating part of the division.

I'm a super senior in math education. I've taken multivariable calculus, linear algebra, differential equations, and survey of geometry. I'm taking this class to comply with graduation requirements. The least effective math teacher I had taught strictly from the book, writing what was already in the book on the board. I was so bored I couldn't bring myself to go to class and taught myself from the book. In my opinion, lectures should offer me something the book does not.

I have a unique physical anomaly that allows me to flip people off with my feet. Unfortunately, I am either in class or at work from 8-5 M-F, so if you have any time outside of that, I would be able to meet.