Skipping from AP Calc AB to Calc 3 - Differential Equations?

<p>I took AP Calc AB last year and got an A in the class and a 5 on the AP exam. I want to hold off on taking AP Calc BC because I will have to take the class in junior year (I'm in IB). I originally signed up for AP Statistics, but yesterday I found out that the class is overfull and I won't be able to take it this year. School starts in 6 days. What do I need to learn from Calc BC for Calc 3? </p>

<p>BC is Calc 1 + Calc 2 while AB is Calc 1. That should fill in most of the blanks.</p>

<p>-Parametric functions
-Vector functions
-Euler’s Method
-Polar functions
-Integration by parts
-Taylor Series
-Integration by partial fractions</p>

<p>Those are the topics covered in BC that are not covered in AB. Those topics would be important for Multivariate Calculus, but I’m not sure about Differential Equations.</p>

<p>You could see if you could do Stats independent study. My son did that because the AP stats class didn’t fit in his schedule. If you’re a math type, stats isn’t difficult. He took the Stats AP test at the end and got a 5. </p>

<p>I took differential equations in my freshman year of college, and I’ll say that knowing the above topics that Laura280 stated definitely helps (not sure if “Integration by partial fractions” should be considered a BC topic; partial fraction decomposition is more of an algebra/pre-calculus topic but can be used to integrate rational functions).</p>

<ul>
<li>series convergence/divergence type things to what laura said</li>
</ul>

<p>Thank you guys!</p>