<p>I figure the name Harvard on my resume could look good... Also, this would enable me to do a Precalculus course .. </p>
<p>Do the Harvard or Cornell program</p>
<p>Any classes you want to knock out so you can take AP Calc, you can always take them at a community college over the school year. You can take calculus at a community college easily, i hope</p>
<p>Also, don't get caught up in the whole engineering thing. You should try to make your college resume/app as diverse as possible. You don't have to do just math/science over the summer. Learning a new language, especially one as difficult as Arabic would definitely impress any engineering school. Not to mention that most organizations (US Military, The Man) are always looking for fluent Arabic speakers to work in the Middle east.</p>