<p>“I have done these courses at a university and supplemented them with proof-based texts on my own. I don’t want to be walked through this again.”</p>
<p>So essentially you feel that you are too good for Math 25 but not good enough for math 55, without experiencing a single day in either course, or, heck, even before being accepted to Harvard…</p>
<p>Back to the main question you had though, which JHS answered perfectly, do you really think that the 15 or so kids that finish math 55 at Harvard are the only students with math futures in the entire nation? Really? As he mentioned, Princeton, MIT, and other top universities do not offer anything similar to Math 55. Are you suggesting that their math student populations all go off without any future in mathematical academia?</p>
<p>If you’re concerned about your entire future being determined by a math class you take freshman year at Harvard, before you’ve gotten into Harvard, then I’m not sure you have the maturity to handle Harvard.</p>