<p>cheesemaster: You can take the proof-based courses of Math 23 or 25. You could try Math 55, but again, if you really wanted a social life, I would not suggest it (of course, unless you were a genius). It will be unlike anything you’ve encountered in high school math, although I find it very impressive your school offers Calc III/IV when most high schools don’t even offer AP Calculus (mine only offered up to AP Calculus AB). </p>
<p>You will take a placement exam - seriously follow those. You will be much better off for it. I personally took AP Calc AB (highest offered and I enjoyed it and got a 5 on the AP), but the Math placement test placed me in the lowest level of math, which is Math Xa/Xb, a year-long sequence that covered pre-calculus and also the material in Math 1a and some of Math 1b. Of course, I was a bit dismayed, but in the end, I am so much happier by taking it.</p>
<p>Harvard math courses are tough. They aren’t easy. In addition, if you wanted to major in the life sciences, instead of going to a higher level like Math 23/25/55, you should take Math 19a/19b, which will help you in classes like Life Sciences 1b (tons of statistics in that class) and high level courses in the life sciences. If you wanted to go into the business world, you have Math 20, which is linear algebra and MV Calc applied to the social sciences.</p>
<p>In essence, there are so many options available to you - you just have to choose which math class is best for you!</p>