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Old 04-07-2008, 11:13 PM   #3
TheMathProf
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Join Date: May 2007
Posts: 430
Slope fields showed up in 2006, which is not that long ago. If you see slope fields, it has so far always been paired with a separable differential equation that is worth 5-6 points. The trick here, however, is that separating, integrating, including the +C, and solving for C from the initial condition gives you all but one of these points, unless they ask you for the domain, which is usually an additional point on top of this.

Partial fractions and trig substitution are not AB topics.

If you're cramped for time, related rates is a difficult topics for most students that usually comprises just one question on the multiple choice if you're lucky. If you're unlucky, it's one of the six free response questions, though. It hasn't been lately, and I'm not sure what this means.

I would make sure you know the concept of calculating average value. That topic comes up far more often than it deserves to given its relative importance to the idea of calculus.

In addition to the above free response question topics, I would make sure you're familiar with the Fundamental Theorem of Calculus. They almost always give a graph of some function. Sometimes that function is directly labeled f ', but other times, it's just called g(x), and they define f as the integral from some constant to x of g(x) dx. These questions are pretty regularly on the exam, and if you understand the concepts well, it's a pretty manageable 9 points.
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