<p>Let's post all our BC related questions here. </p>
<p>I have a couple real basic questions. First off, can someone run through a harder example of using Eurlers method? It seems way too easy to be BC Calc.</p>
<p>Euler's method is easy, but it's also easy to make mistakes.</p>
<p>I believe it is because you're not allowed to use a calculator that this could get messy, but make a table. There won't be any problems that are too hard to throw you off with Euler's Method, but just make sure the work is correct.</p>
<p>Okay, thanks. I have another question regarding BC stuff. </p>
<p>1) Partial fractions. I am looking at an example in my book, and it says you can write:
2/(4n^2-1) = 2/(2n-1)(2n+1) = (1/(2n-1))-(1/(2n+1))
How does that second part = the third part?</p>
<p>Thanks in advance.</p>
<p>Also, what are the main topic of BC in addition to AB stuff? Is it really just all about series? What is a good site that teaches BC stuff well?</p>
<p>Does anyone know any good sites to review for Taylor series?? I have so much trouble with that concept in general. I have tried to study my textbook, and I have tried looking online, but I just cannot seem to grasp that concept too well, and I know its a big part of the AP exam.</p>
<p>Most review books do it pretty well. I have barrons and pr. :)</p>
<p>I'm having a tough time finding the cross sections for some graphs that require you to use the area as the base, and every cross section is a shape like a square or a triangle. Can someone explain this to me? or at least a website that demonstrates the steps?</p>
<p>"Best way to review stuffs is to help others."</p>
<p>That's what I'm going to do now. I didn't score "that" high on practice test so I need to review more (70/108 on 2006 practice --> yeah I think it's 4?).</p>
<ol>
<li>Patrickk's Q on Partial Fraction
First of all, the book is right because if you expand the third part, you get the second part. Now how? This is pretty simple if you know how to do Partial Fractions.</li>
</ol>
<p>Let A be the number on top of 2n-1 and B be the number on top of 2n+1. Then:</p>
<p>A/(2n-1) + B/(2n+1) = A(2n+1) + B(2n-1) = n(2A+2B) + (A-B) = 2
we know n's coefficient is 0 so 2A+2B = 0 and A-B = 2 --> -A = B and -2B = 2 --> B = -1 and A = 1. That's how you get the third part.</p>
<ol>
<li><p>Stuffs on BC? Look up on Collegeboard. I'm not typing them.</p></li>
<li><p>cali7802000's question: Taylor Series
There are many prep books out there but it's not easy to understand them at once. It's actually quite simple. I suggest reading Barron's or McGrawHill's. I can explain this but this is pretty painful to type.</p></li>
<li><p>fullmoondragonx's question: Cross section
I think PinkMonkey's or something did good example of it. Search for "solids of cross section" or something.</p></li>
</ol>
<p>I am screwed on sequences and series. </p>
<p>Best way to cram it all in my head before the test?</p>
<p>how can you recognize variables and equations easily in related rates?
it gives me a while to recognize them and i don't want to waste any time</p>
<p>
[quote]
how can you recognize variables and equations easily in related rates?
it gives me a while to recognize them and i don't want to waste any time
[/quote]
I suggest you to draw a diagram based on a question and see what changes. What stays the same are constants. As for recognizing equations, I guess you just have to be comfortable with geometry and its formulas.</p>
<p>I'm kind of freaked out, because I got this review book, went all the way through it, memorized everything it said, did all the practice problems, and everything. Then, i took a practice test, and the questions were way harder than anything I had ever seen before. They all combined many topics at once, rather than just simple things. And, they all required a huge understanding of the topic, rather than just being able to do the problems. I am really worried. I thought i was so prepared!</p>
<p>fhqwgads2005: Did you self-study? What review book did you use, and how long did you study the review book? Also, did you do and check every single one of the chapter problems for all the chapters?</p>
<p>^I felt the same way when our teacher put "real" AP problems on our midterm with no warning. Hang in there :-</p>
<p>I took a BC calc class online through oklahoma state. My school doesnt offer it. I finished the class with a 93% and everything was ok for me. Also, I used this book: <a href="http://www.skylit.com/calculus/index.html%5B/url%5D">http://www.skylit.com/calculus/index.html</a></p>
<p>It is supposed to have the really accurate practice tests. At least thats what tons of people on Amazon and Barnes&Noble said online. </p>
<p>I thought it had a really good review of the topics too. </p>
<p>Maybe I am just trying to get too many question right? I only need about a 60% or so... So, maybe I'm just worrying too much?</p>
<p>
[quote]
Maybe I am just trying to get too many question right? I only need about a 60% or so... So, maybe I'm just worrying too much?
[/quote]
You just need to worry about getting a 5. AP Calculus BC exam is designed to be hard. It isn't expected that anyone will be able to answer all the questions on the exam correctly. You can consult this website, <a href="http://home.austin.rr.com/theatons/AP%20Review/Test%20information.htm%5B/url%5D">http://home.austin.rr.com/theatons/AP%20Review/Test%20information.htm</a>, to estimate your score.</p>
<p>What are all the Taylor series we need to have memorized? </p>
<p>I have
sin(x) = x - x^3 + x^5 ... (-1)^n * x^(2n+1)
cos (x) = 1 - x^2 + x^4 ... (-1)^n * x^(2n)
e^x = 1 + x + x^2 ... x^n</p>
<p>I don't really remember the ln|x-1| one. AAAAH!</p>
<p>First, you have e^x wrong. You have to divide it by n! its Sum from 0 to inf. of (x^n)/n!</p>
<p>1/(1-x) is the basic geometric series x^n.</p>
<p>Most other things, you can do by substitution from those.</p>
<p>AAHH! Crap! Damn. Well I guess I'm going to be cramming!</p>
<p>Dont cram that, its easy enough to figure out on your own. remember the formula for taylor series. </p>
<p>To find ln(1-x) just antidifferentiate all the terms in the series for 1/(1-x). Thats pretty easy, huh?</p>