<p>Hmm, Cornell might not be the best choice for you. You're just now finishing your Sophomore year, right? If that's the case, your choices at Cornell are limited to a handful of programs (among them, a medical one, a government one, a business leadership one). I did the government one and absolutely loved it, but it might not fit that well with your interests. There are a lot more choices for after your Junior year.</p>
<p>The honors math sequence at my high school is:
Geometry
Algebra II
Pre-Calculus
AP Calculus AB</p>
<p>Your Honors Calc curriculum seems to cover topics that we cover in AP Calc. It doesn't cover ALL the AP Calc curriculum, but I think you'd be left with a manageable amount to self-study, if you had the desire to do that. Taking Pre-Calc over the summer might be a little bit rushed.</p>