<p>Hey.</p>
<p>I’ve taken 7 math classes at Princeton so far, including their freshman sequence (215-217-218), three 300-level courses, and one 400-level.</p>
<p>I have many, many friends at MIT, and here is what I find that makes Princeton stand out:</p>
<p>a) The professors. I do not doubt at all that the Professors at MIT are amazing at what they do, and they are some of the best in their field. What I can talk about is that when it comes to the professors, I think Princeton would be by far the best. I probably don’t need to mention that the professors are among the best in their fields - where else do these professors go if not Princeton, MIT, Harvard, etc.? The difference, though, is in the teaching. The teaching at Princeton, by the professors, is the best teaching I have ever had. You will rarely, if ever at all, see students not going to lecture, because the professors explain things in such a way that it makes the ideas seem as well-motivated and natural as possible, giving you the right intuition and way of thinking about abstract concepts that usually comes much later. </p>
<p>I bring this up only because I know that at other universities, this is not true; students are stuck with bad professors, and that’s it. At Princeton, I can only name 2, maybe 3 professors people are generally not happy with; the rest, however, people thoroughly enjoy. Not only in class, but out of class, too - whether that be at the daily tea, or just stopping by the professor’s office, they are always available, always welcoming, and almost always amazing teachers.</p>
<p>The faculty to student ratio at Princeton is, for example, almost 5 times better than it is at MIT (for the math department). You get very individualized instruction, and eventually go on to work with the professors individually on a paper. I really think this is the place to be.</p>
<p>On a side note, notice this; despite the fact that many math people would choose MIT or Harvard over Princeton, and despite the fact that the department is smaller than most, Princeton is still known for it’s amazing department and the amazing students that graduate, as you can see by looking up where famous mathematicians went to college, or just taking a look at how competitive Princeton is at Putnam despite these apparent disadvantages. </p>
<p>If you have any other questions, feel free to ask.</p>