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Integration Review
We went over major integration concepts, including antidifferentiation, the basic integration rules we have to memorize, Riemann sums, the limit definition of the integral, the mean value theorem for integrals, and the first and second fundamental theorems of calculus. When we went over these in class, I felt overwhelmed and a little worried because a lot of these terms were a bit hazy to me. However, I went home and took notes on the PowerPoint and am now feeling a little more confident. -
Seperable Differential Equations and Slope Fields
We went over how to solve differential equations, and I was very much relieved to know that Bernoulli and F-O Linear equations would not be on the AP exam. Stemming from that, we reviewed growth and decay models, and logistics equations. I hope Mr. Hyman puts up the PowerPoint soon so I can take good notes and review :) We also quickly went over slope fields. -
Sequences and Series
We went over the definition of sequences, and their relationship to series. Then, we talked about the different types of series we might encounter on the AP (telescoping, geometric, p-series, alternating) and the tests used to determine divergence or convergence (nth-term, geometric, telescoping, p-series, alternating, integral, root, ratio, DC, and LC). -
Taylor and Maclaurin Polynomials and Power Series
We went over Taylor and Maclaurin Polynomials, and the Lagrange Error bound which I still don't understand :( Then, we talked about power series and how they are representations of important functions, like e^x, cosx, sinx, etc. There are also ways to find the convergence of power series, using the rules that we went over yesterday. -
Practice BC Free Response
We had 45 minutes to complete 3 calculator free response questions on BC topics. I actually found this really hard--I was only able to completely finish the third problem, and did only half of the first and second. -
Integration Techniques
Mr. Hyman went over the different ways and methods we should utilize in tackling an integration problem on the exam, such as u-substitution, partial fractions, IBP, and others. Most of the review problems we did in class were fairly easy, and Mr. Hyman told us on the exam they wouldn't get much harder. Also, it was a HUGE relief to know that trig substitution wouldn't be tested. I am not a fan of trig. -
Practice Test
Today, my partner and I competed the non-calculator portion of a practice free-response from an AP exam. Most of the questions I had a fairly good grasp of what to do, but there were definitely some parts that tripped me up. At least I managed to answer most of the subheadings. -
Law Day 2012
I was not in class because of Law Day. -
Multiple Choice Practice Test
We completed the calculator portion of a practice multiple choice exam. Upon reflection, it was actually quite hard--Sanchir and I had to completely guess on two because we had no idea what the answer was. Perhaps more review will help, but not by that much, because these questions were more concept and theory based than just simple memorization. -
Applications of Integration
We went over volumes of revolution using the disk method, the washer method, and the shell method. This review was much needed because I had fuond myself getting rusty in this area. This is something I would definitely study before the AP.
Also, after school I completed the non calculator MC portion of the calc exam. It was much easier than the calculator portion, although the last 5 questions were a bit difficult and we ended up guessing again. -
Practice Tests Review
We went over the practice calc AP that we took in class. Hyman put the most missed questions up on the board, which helped a little but there were still some wrong that I didn't understand, espcially the harder concept based ones. I should brush up on my knowledge of logistics and f(x) vs. f'(x) graphs. We did really badly on the free response, mostly due to careless error. After reviewing them, they seemed a lot easier. For homework, we have to do test corrections on our take-home test. -
Lagrange Error Bound
Due to overwhelming request we went over Lagrange Error Bound. The practice problems that Mr. Hyman gave us really did help but I still feel like if I came across a problem involving this, I would do it wrong. However, it must be said that today was illuminating, and I finally know what to do with f^(n+1)(z). -
TAKE A WALK!
Taking a walk before the AP to relax!!!! Time to go home and cram like nobody's business!!!! -
AP Calculus BC Exam
Looking back, the calc test was easier than I expected. The non-calculator MC was okay, but the calculator portion was a bit hard. However, the FRQs were a lot easier than expected--they only tested simple calculus like differentiation, parametric eq, and integration. Volumes of revolution, polar graphs, etc. were all missing from the test.
I feel like I made a lot of stupid mistakes (ie. on the FRQ the second derivative was -1/5 but I FORGOT THE NEGATIVE).
Hopefully, I'll get a 5.
