I was in Boston over this weekend for the 2014 Harvard-MIT Math Tournament. Before the contest on Friday, I sat in a few of the undergraduate math classes. They were pretty nice; I was actually able to learn some higher math that just by sitting in, despite the fact that I didn’t have the necessary background. I also got the feeling that the lectures moved somewhat slowly, which is probably how I managed to follow what was happening.
Anyways, I promised a sampler, so attached (at the end) are the notes I took during the classes. As I mentioned, I figured out what was happening in the first two lectures but not the third (so the notes for that one might be total gibberish). Hopefully they’re somewhat interesting though :D