<p>the following are not ranked in any way by me. im just writing them down as i think.</p>
<ol>
<li><p>carnegie mellon’s summer program for diversity. its free (except air tickets and some personal expenses). if you get into AP/EA under it, it’s the same as the pre-college program that costs $7k.
<a href=“http://www.cmu.edu/enrollment/summerprogramsfordiversity[/url]”>www.cmu.edu/enrollment/summerprogramsfordiversity</a></p></li>
<li><p>Research Science Institute at MIT. its free as well. the admission is very rigorous and one needs a very strong math/science background to be admitted. great PSAT score is necessary. i’d say a 220 should put you on the level where they just look at your other achievements.
i know some RSI participants, most of them got into the best universities (harvard, princeton, mit, etc.). rising seniors only
<a href=“http://www.cee.org/rsi/[/url]”>http://www.cee.org/rsi/</a></p></li>
<li><p>mathcamp. it costs around $2000. but the admission is a lot harder than programs like harvard ssp, cornell summer, or yale summer session. if you have a strong background in math and can do very well on AMC12/AIME/USAMTS, it’s a very good experience and it’s certainly a great thing to put on college apps.
<a href=“http://www.mathcamp.org/[/url]”>http://www.mathcamp.org/</a></p></li>
<li><p>TASP. im not very familiar with this. all i know is that its free and its a 6-week program at a great university (Cornell, UT Austin, U Michigan, Wash U).
<a href=“http://www.tellurideassociation.org/tasp1.html[/url]”>http://www.tellurideassociation.org/tasp1.html</a></p></li>
</ol>