Hey, I'm actually curious about this question in regards to other top science/math/engineering schools, like Caltech, Olin, and the like, if anybody can answer it for them. I chose MIT specifically because I thought it might be an extreme example. Anyway, I want to know on average, what the highest level math course is that people who are accepted to MIT completed in high school.
There was a local college fair that I went to with over 200 schools, and I asked a lot of the top schools' representatives this questions. Few, if any, could even give me an idea, haha. Yale's guy said that when he went, most had taken Calculus, but he was about 50, so I assume things have at least changed a little bit.
Personally, my school doesn't offer Calculus, so I've gone to the local community college to take Calculus 1 (differential) and Calculus 2 (integral). In the fall, which is my senior year, I'll be taking Linear Algebra there, and I'm not sure about what I'll take the spring semester (all that's left is differential equations and Calc 3, but those classes are scheduled very badly for a HS student). And I don't think I'll be able to specify what I'm taking during the spring semester on college apps anyway.
Also, what math have those in the top 10 percent in this category at MIT (this somewhat unquantifiable category) taken? Thanks!