Half-YSP, Half-Karafiol...

...is basically how I'm feeling the class to be like. YSP in the sense that we're doing YSP-esque things, but Karafiol in the sense that we do things your way (we prove things, no lecturing). I really like number theory, because it makes me feel like I really know what I'm doing in mathematics, so this section is really rewarding to me. I think analysis will also be really interesting as I really don't know that much about it, and it just sounds perplexing. At this point, I'm wondering a couple things. The first of those is what in the heck is a chaos fractal (I guess I'll learn from the lecture)? The second is are we going to be doing much set theory? Not hardcore (or not so hardcore) Galois Theory like some of us did over the summer, but just basic stuff like monoids, groups, rings, etc.? Back to the subject of how class is going now, I think I'm having a lot of fun. I like thinking critically about these proofs, and I want to refine my technique for proving things. For me, the toughest steps are the first and the last, so getting those down is a goal for me. I think there's a lot of good to come from KAM as we go and I hope everyone is excited as I am.