3.3 (part 2), due Oct 30

1) I had the most trouble understanding the rough outline of Dirichlet's Thrm in this section.

2) I was able to relate some of the things I read to calculus (convergence).

3.3 (part 1), due Oct 25

1) I just really what to know what the phase "runs over" means in this section?

2) I thought the most interesting part of the section was the notation the used to describe Dirichlet characters.

3.2.5, due Oct 23

1) I didn't really understand Lemma 3.2.5.1 and the proof of the infinitude of primes using continued fraction was also a little confusing.

2)I thought it was interesting that you can also prove the infinitude of primes by using continued fraction.

3.2.2, due on Oct 18

1) The proof for Lemma 3.2.2.2 was the most confusing.

2) The most interesting thing I read was that Pythagorean triples can be related to Fermat's two square thrm which involves to quadratic residues.

3.2-3.2.1, due Oct 16

1) I had the most trouble understanding the proof if Lemma 3.2.1. I feel like the left out some of their justification for their steps.

2) I've done some problems having to do with Pythagorean triples, so when I read some of the thrms and things they had to say about them, I noticed that I already knew a lot of what they had to say.

3.1.5, due on Oct 13

1) I had the hardest time understanding the proof of Lemma 3.1.5.5.

2) I didn't realize there are so many lemmas that are variations of the thrm stating there are infinitely many primes.

3.1.4 (Part 2), due Oct 11

1) I had the most trouble understanding Lemma 3.1.4.5 and its proof.

2) I didn't realize and I also thought it was interesting that you can use the Fibonacci numbers to prove there are infinitely may primes.

3.1.4 (Part 1), due Oct 9

1) I had the most difficulty understanding the proof for the Thrm 3.1.4.1.

2) The most interesting thing about the reading was that I didn't realize there were so many shapes that the golden ratio could be used for. It makes me realize that the golden ratio is probably used for a lot more that I know.

3.1.3, due Oct 6

1) I had the most difficulty understanding Lemma 3.1.3.2.

2) I found it interesting that there are different ways of finding certain primes like Fermat primes and Mersenne primes.

3.1.2, due on Oct 5

1) The most difficult part for me to understand was when the thrms and their proofs included 2^(2^(n-1)) or 2^(2^k). I don't know why this confuses me, but I just don't know why it is that particular number that was chosen, and I don't really know how it fits in...

2) The most interesting part about this section was that it uses some calculus-Thrms having to do with convergent and divergent sums. I was not expecting to see that.