<p>You may want to consider the freshmen seminar, Math 201, which is an "honors" type class, open to only people with 5's on BC and limited to less than 20 people. You typically cover the material of Calc 3, and much of Calc 4 (Math 308/318). Taking it obviously counts for calc 3 in terms of major requirements.</p>
<p>I was in this class two years ago. It is a hard class, you learn a lot, and it is very rewarding if you are interested in pure mathematics.</p>