<p>fiveacres, UMCP is very good about allowing folks to test into the appropriate placement for math (or CS, if he is interested). It is also very easy to major in math and get a CS major out of it, too. Lots of people do it, and the CS department is top 15 with excellent post-grad placement. With a full ride at UMD already in pocket, your S can afford to aim at some specific targets that would meet his particular needs.</p>
<p>If your S had a GOOD MV/DiffEq class, he’d be about ready for junior-level courses such as Analysis. At UChicago, he’d likely place into Honors Calc, which is MV/DiffEq with LinAlg thrown in, only they derive it all and proof it themselves – or they’d put him in 19900, which is an intro to proof (not unlike the math 310 ucbalumnus mentioned above). Most colleges will do placement for math anyway. </p>
<p>I know folks who took the MV/DiffEq class at S2’s IB school and said they were glad they retook it in college. S1 took it at the math/science program, and placed out of it at college with no ill effect. We did not worry about what would get credit and figured S would wind up in the class where he needed to be, and he did. </p>
<p>S1 (math major) looked at LACs and realized that he would need more depth than they could provide. (Disclaimer – not a slam against LACs. He started in IBL Analysis and graduate combinatorics at UChicago freshman year. He came in with a lot of background under his belt.) Williams has probably the best rep among traditional LACs for math, with Swat following closely. Harvey Mudd is a science/math LAC and they have an <em>excellent</em> math dept. Coming into an LAC with MV, DiffEq, Lin Alg and Discrete is probably the effective upper limit for a math major in order to have enough to keep one happy and challenged for four years, unless there are allied fields (CS, Econ, Bio) one wants to cross-pollinate with. </p>
<p>Don’t discount MIT. Math/history/music folks are not as uncommon as one might think – and Sloan is a good place for the quant/social science folks to thrive. S1 got into MIT, Chicago, Harvey Mudd and UMCP (full merit ride) and picked Chicago because he wanted the depth in the social sciences/humanities. Has had some regrets about not choosing MIT, but has been very happy with his Chicago experience nonetheless.</p>
<p>My advice is twofold: focus on schools where he feels would be a good fit for his interests and talents, and where he feels he can find his people. He then needs to spend a LOT of time on essays that speak to who he is and what makes him tick. The hardest part of the application process is for the student to get the courage to unload his hopes and dreams and quirks on paper. The essays can not be a rehash of activities on the resume.</p>