<p>I’d just like to confirm that every one of happyentropy’s points is very important. I guess I alluded to the structure of program being important in a previous post, but those points expand on what I’d also say are important.</p>
<p>The Cambridge system sounds terrific, now you mention it.</p>
<p>Might I add that if Caltech assigns grueling homework, Chicago supposedly is very exam-centric. That can be good for some (it depends what actually is going to get you to learn something, and if you’d rather have a few exams to worry about instead).</p>
<p>The undergraduate year in math serve as a time for one to get background in what one is interested in, and different schools seem to have very different ways of giving the students this background.</p>