This week, we learned about the fundamental theorem of calculus. In my experience, deductive learning really helped solidify the concepts for me. Inductive learning was what let me discover the topics, but deductive learning told me why those things were true. Combining the two methods of learning was helpful, because it went from discovery learning to analytic learning. The two together helped with complete understanding of the concepts. The fundamental theorem of calculus is very fundamental, because it is the basis for a lot of the calculus we have been doing and will be doing. We can describe a lot of things we haven't been able to in the past. Once we understand the theorem, it will also allow us to understand previous topics and upcoming topics better. The theorem shows us the net area of a graph. This can describe the behavior and relationships that graphs share. It will help us learn more about a graph. We will think of graphs as more than just lines, and we will be able to describe them better. Using a combination of all the concepts in calculus and the fundamental theorem, we will be able to understand equations and graphs at a higher level.
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February 2015
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