<p>the only thing that I know about williams math is that they actually offer more courses than princeton. you should check out both course catalogs (use google). they do offer math modeling, but it is only offered every other year.</p>
<p>Whether williams’s classes are of the same rigor as princeton, I do not know. williams math department is supposed to be very nurturing, which is why 10% of students at williams major in it. this may keep some less intense students in the major, which may decrease the difficulty and cycle so on. I do know that princeton math program is not that nurturing and that most of the attention goes to the all-star undergrads.</p>