Ha. This week was easy except for the AP style quiz. Besides that quiz, this chapter has been a piece of cake! We learned sections 5.3: definite integrals and anti-derivatives and the MVT and 5.4: the fundamental theorem of calculus.
I'm not really sure what to say about 5.3 besides that it was easy. We learned the six rules about definite integrals and also the meant value theorem which isn't that mean. I saw the similarities of rules of definite integrals to any other rules we've ever learned. Rules are easy as long as you follow them! The mean value theorem wasn't difficult. It was hard to grasp in words, but actually doing the examples and going through the notes made it easy and helped me understand it. THE MEAN VALUE THEOREM IS NICE! (See picture for scary formula that isn't really scary when you understand it).
In 5.4, we learned that 1. Every continuous function is a derivative of some other function 2. Every continuous function has an anti-derivative and 3. Integration and differentiation are inverses! That last one helped us make te connection from a previous chapter to this chapter and I thought it was pretty interesting to see how calculus is interwoven in each other. By that, I mean that somehow, everything we do is related.
That AP quiz kicked my butt. All I can do is hope to improve and now I know I have to really prepare myself for the AP test. I'm using this experience as a learning tool.
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