1.1-1.3, due on August 30

1. The part that was the most difficult for me to understand was the chapter on greatest common factors.  I know what they are, and I have used the Euclidean algorithm before to find them, but Lemma 1.7 is something I haven't seen before, and it took a careful reading to understand what it was saying and how it applied.

2. I thought the well-ordering axiom and its uses were really cool.  It's similar to the Axiom of Completeness in Math 341 for the real numbers; it's something that intuitively makes sense but that I didn't really think about until we used it to prove lots of other theorems.  I also enjoyed reading about primes; I have seen all of the results in that chapter before, but it was good to see them again.

Introduction, due on August 30

I am a junior majoring in ACME.  I have taken Math 290, 313, 314, 334, and 341, and I have taken Math 391R multiple times.  I am taking this class because I am doing Mathematical Theory for my ACME concentration, and professors and students I have talked to have recommended this class as a basic course for mathematical theory.  It is also a prerequisite for many of the other advanced math classes and for lots of research opportunities.

The professor I had who was the most effective was Dr. Kening Lu, who taught Math 341 this past winter semester.  He was a fun professor, taught the material in a way that was easy to understand, and answered questions as needed.  Something interesting about myself is that I love to sing, and I'm currently in the process of auditioning for Men's Chorus right now.  Your office hours don't work with my schedule, but the TA's hours do, so that should be fine.