<p>MissouriGal,
S looked at every school on your list except Wisconsin, visited all but UIUC and Wisconsin, and applied to seven of them. For math and physics, and the belief that it's academics that will make your experience, Chicago should be on your list. No engineering, but physics and math are top five departments. Your list, while a little reachy, is not random for math/physics. The joy with being a math/physics major is that you aren't limited to engineering schools -- which turned out to be a big decision point for my S.</p>
<p>For safer schools with your stats -- WPI, RIT, Rose-Hulman, Case Western. I agree with tokenadult (a wise poster you should listen to) that you should focus on the SAT-IIs rather than the ACTs at this point. A 34 is more than fine. </p>
<p>Have you taken the toughest courseload possible at your school? Any APs or college courses? Pursued any math/science interests outside of class? Colleges know that not everyone has incredible resources readily at hand, but they DO look to see if applicants have maximized what IS available to them -- or if they created opportunities where there were none previously.</p>
<p>Mudd is a wonderful place -- listen to Stevedad. Mudd is totally devoted to undergrads and gives everyone a really thorough workout in math. Tenure is based heavily on teaching ability. The math dept. is awesome and has won awards for the quality. The kids there also get into great grad schools and do significant research/project work. (Can you tell I really like the place?) Check the Mudd website for specific SAT/ACT scores for the $10K scholarship -- and be sure you are in the top 10% of your class. No exceptions to that one.</p>
<p>S had apps prepared for Chicago, MIT, Mudd, Caltech, CMU, Stanford, UMich, Cornell, in-state flagship and at the last minute, Harvard. (He dropped a couple of these after getting great results in the EA round.) For him, it came down to Chicago, Mudd and MIT. He ultimately chose Chicago, and as much as he is THRILLED with his decision, it was still very hard to turn down Mudd. He is a math major, may double in CS, is likely to take some serious physics at Chicago for fun.</p>
<p>You didn't ask, but...Chicago, MIT and Caltech have Early Action. If these are on your list come fall, applying EA can give you a good sense of where you are in the applicant pool and if you should drop/add some schools. It was a terrific feeling to have some good news in mid-December!</p>