<p>I’m an incoming freshmen, so I wouldn’t be able to answer too many of your questions. Plus I don’t intend on majoring in math. However, as for grad school–it depends. Med school will be very difficult but it’s doable. Grad work in your own field should be much easier. This might not be exactly the same for math, but the engineering department sent me a letter congratulating me etc., that said that over 50% of the engineering seniors are going to Michigan, MIT, Caltech, or Stanford (I think those were the four mentioned) for grad school. Needless to say, that’s really impressive.</p>