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AB topics were revisited today. At this point in my calculus career, it's not too difficult remembering all the integration rules and such. No problems with these at all.
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Differential equations were reviewed today. I had almost forgotten how to do Euler's method, but I've got it down now. I think I'll have a little trouble differentiating the two forms of logistic diff eqs, but they're not too difficult to figure out. All the other topics today were not difficult at all.
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Series were reviewed today. Not too bad at all. I have most of the common transcendental functions' series memorized. However, I don't have the power series for the natural logs memorized yet -- must work on that soon.
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Taylor Polynomials, Series, and Remainders were revisited today. I had almost forgotten about the fact that the radius of convergence was the same for derivatives and integrals of a power series. I should also do well to remember the "first neglected term" rule for alternating series. Besides that, I'm set in this area.
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Today we applied the topics we reviewed up to this point (mostly taylor polynomials, etc.) with some practice problems. I'm doing well on these for most of these. I feel comfortable with the material.
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Advanced integration techniques were covered today. Integration by parts, partial fractions, and infinite integrals are pretty easy to deal with. I should go over tabular method again, though.
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Applications of integrals was the topic today. I haven't got any of the volume formulae memorized, but they're easy to derive in a pinch since it's essentially just the area and circumference of a circle for the volumes of revolution and area of a particular shape for volumes of cross sections. For surface area as well, I can derive the formula as long as I remember the formula for length of a curve. That shouldn't be tough.
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Polar functions and graphs were reviewed today, in preparation for the test. Since this one is our most recent unit, it's very fresh in my mind. I remember the general forms of all the special polar functions (circle, lemniscate, etc.), so I should be good there.The two things I need to look over are volume and surface area of a polar curve revolved about an axis.
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I'm confident that I did well on most parts of the test. However, I wasn't able to recall or derive the equations for surface area of a revolution. Everything else should be good. If I work on the surface area bit more, I'll be set for the AP.
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Today was more practice with AP-style problems. Like the last practice session, I've gotten most of them correct. I still have to go over some topics in polar, though.
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I had a chem exam today, so I was not in class. I'm still reviewing some stuff at home. I think I understand how to do the polar surface area of revolution -- I haven't memorized the formula, but could derive it if necessary.
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We reviewed some tips on how to take the exam efficiently, which was indeed helpful. At this point, I've got the calculus down. I think I'm going to avoid any extra, last-minute studying today to avoid any stress before tomorrow.
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The exam went very well I thought. I had little difficulty with either section. The last problem on the free response was by far the most challenging question. I think I got most of it correct, though. Hoping for a 5.