<p>I'll be applying to colleges in the fall, and I keep going back and forth between being confident with my application and a little nervous, and I was just wondering if anyone could help me out with my chances for Princeton or MIT. Here are the important bits:
Academics-
-Very Good, but not amazing, rural, public school in massachusetts
-Ranked 3/250, all A's in only honors and ap classes, 1 year orch, 3 years Jazz ensemble
-Took AP calc (ab) exam as a freshman (did bc as a sophomore, but not with the class)
- Independent math since then, taught myself multivariable, lin. alg, dif eq, and a full course in analysis (using Rudin's "Principles"), now working on Artin's "Algebra"
-Took AP Chemistry and Psychology as a junior, though my school doesn't usually allow it
Scores-
-SAT - 2190 (740-760-690)
-SAT II Math ii -800, Chem -770
-5's on AP calc (ab & bc), Euro, and likely Chemistry, Psych, and English, 4's on Stats and Physics C-mech and likely Music Theory
-Gold National Spanish Exam 3 yrs
EC's-
-Varsity Sailing - 4 years, captain jr and sr, and mvp so, jr
-Varsity Swimming - 4 years, (likely) captain sr
-Model UN - Club vp so jr sr
-Student Council & Senate Member 4 years
-NHS</p>
<p>-Math department award fr, so
-Spanish department award jr
-Trig-star competition state champ so</p>
<p>I know I'll have very strong recommendations, and a lot of what I did had never been done at my school before (esp. math), but I'm worried about my relatively low scores. I'll probably do SAT's a second time, but would a low-mid 2200 range detract from my app? Also does anyone know how to show the math work I've done to schools? I have like 40 typed pages of notes and problems I've done but I don't know to whom I should show it, and how to get in contact with them. I live a good 2 hours from boston and can't feasibly work with professors/do research at a university, though I've participated in some of MIT's ESP programs, not that that says as much as I want to about my experience.</p>
<p>Any advice/evaluation can help, thanks in advance!</p>