Hello everyone, Long time no talk. This week in AP calculus, the class just continued to learn and practice with integrals (the area underneath the curve). On Tuesday we took an AP style quiz. Although the quiz wasn't worth any actual points, it was a good test to see where I personally stood in the class. I think that I am in good shape going into the end of the school year to take the test, but I have a ton of things that I will need to improve my understanding on and practice more. On Wednesday the class took a quiz over integrals. The quiz was over the material from the past two weeks: Raymond sums, integrals, rules of integrals, you name it. Even though it wasn't the most difficult quiz that we've taken in the class, I took 1/2 of the time taking the quiz trying to figure out the extra credit question. It asked you to prove that on an interval a to b of a linear function, that f(c)=(f(a)+f(b)0/2. After long consideration of how to solve the question, i had to give up and ask Mr. Cresswell how to complete it. It turns out that I was a long way away. To solve it, you must use an equation such as y=cx and then integrate this equation, do some careful algebraic analysis, and then end up with the original proof.
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February 2015
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