well im doing it to be great engineer, so my line of thinking was:
If I am bit more advanced, because i learned them myself, then Ill be taking courses more advanced than I would if I had studied those courses. Consequently, I would be a better engineer within 4 years, than I normally would be.
For example, If someone were to do Algebra I, Geo, Algebra II in middle school and come into high school doing Calculus in their freshman year. By the end of senior year, wouldn't they know more, and be BETTER, as a mathematician?
Does that line of thought work for MIT?
I do enjoy engineering (from what I've seen which is limited) but i looked at the syllabus for dynamics, and mechanics and materials I according to opencourseware and it was actually pretty interesting.
1 more question. Im finishing up Diff Eq,+Linear algebra and may not remember much from MVC by the time I get to college; At MIT specifically, are there "refresher courses?" I saw the "review in mathematics" for MVC but nothing beyond that.