Topics...

<p>Are...</p>

<p>Surface Area
Newton's Method
trig integrals (like the ones where you have to subs trig identities to solve)
differentials</p>

<p>on the test?</p>

<p>Also, I just studied Taylor and Maclaurin series, but there are so many applications of them. What exactly are the problems like for this? I don't understand what they can be used for. Do I just memorize the chart with series for e^x/ 1/1-x, sinx, cosx, and manipulate them to get approximations for other series?</p>

<p>I'm using Barron's again for BC...What are you guys doing? Does Barron's include every topic tested or should I check along with my textbook? Thanks.</p>

<p>I think Barron’s covers too much. I’m using 5 steps to a 5. I used it for AB and I got a 5. The Taylor/Maclaurin may come up in several ways. I suggest you take a look at the online free response questions on apcentral.collegeboard.com. I know that some multiple choice Taylor/Maclaurin questions may just ask what the nth (2nd, 3rd, 4th, etc.) degree Taylor/Maclaurin function will be at x=a number. Very straightforward… Trig substitution won’t be on the test because it’s too complicated and variable to have a scoring rubric for. I’ve never seen newtons method or surface area before on a test and I’ve been taking the official exams for a month now… I’ve seen all of them. If by differentials you mean solving a differential equation with an initial condition, then oh yes that will be on the test. Take a look at the past 5 free response questions. It’s even on the AB test, too.</p>

<p>Thanks! Like propagated error or something. Taylor and Maclaurin, yeah I’m looking at 2012 frqs and don’t know what they’re asking. It seems you need to know a lot about error bounds or whatever? I only know how to do this for alternating series…</p>

<p>Taylor series are used to evaluate functions like the error function, which can’t be integrated normally. It also simplifies the integration and differentiation of certain functions. </p>

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<p>What’s the error function? Is Barron’s enough? I just know like if you wanted to get e^2x you’d subs 2x for x in the memorized chart and stuff.</p>

<p>Error function is something that you don’t need to know (just the first example I could think of).</p>

<p>Basically, Taylor/Maclaurin series are useful when you have something like e^-(x^2), which you cannot integrate normally. Expressing it as an infinite series allows you to integrate it by integrating each individual term.</p>

<p>Almost guaranteed Taylor/Maclaurin series will show up on FRQs. Memorizing the chart is helpful, but better to know how to derive a series from the function itself.</p>