<p>I was a prospective math major at Princeton in the 80’s (ended up switching to chemistry). At that time, my freshman math classes (217 and 218) were small enough for me to know that every single person in the room was smarter than I was! ;-)</p>
<p>Seriously, my roommate (who was also in those classes) ended up majoring in math, and is now wonderfully successful in academia as an applied mathematician. I think you really can’t go wrong with a place like Princeton for math.</p>