I am a high school senior. I applied Early Action to Caltech and got accepted. I want to study math and physics there. I'm pretty excited but also want to make sure I am ready when I get there. I'm still waiting on hearing from MIT, Harvard, Princeton, Stanford, and Berkeley as I only applied to them in the regular round, but I'm kinda leaning towards Caltech. I just finished taking an analysis course at a local liberal arts college known for its math and physics rigor and I am registered to take a linear algebra class there in spring. The analysis class was obviously proof-based, so I think I have a pretty good grounding in writing proofs. I know that Caltech is known for its rigor and difficulty. I'm not worried about it too much but at the same time, I want to be as prepared as possible, as I have some time over the next 6 months to devote to some extra study. Any advice from anyone who has been to Caltech? I have heard over and over that it is going to be hard work for anyone getting there, regardless of their readiness, but I feel that's all the more reason to be as prepared as possible. Thanks!