Explaining Calculus

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Fundamental Theorem of Calculus, Part 2 (Explaining Calculus #17)

We have now discussed an extremely important tenet in the development of calculus, which is called the first part of the Fundamental Theorem of Calculus. We briefly recall what we deduced in the last post: Fundamental Theorem of Calculus, Part 1: If is a function that tells us the area underneath the graph of fromContinue reading “Fundamental Theorem of Calculus, Part 2 (Explaining Calculus #17)”

Fundamental Theorem of Calculus, Part 1 (Explaining Calculus #16)

We have recently talked about two concepts that appear rather disparate. We have discussed antiderivatives – which is the idea of reversing all the rules for taking derivatives, and Riemann sums, which are used to calculate the areas underneath complicated shapes. What do these have to do with each other? It does not look likeContinue reading “Fundamental Theorem of Calculus, Part 1 (Explaining Calculus #16)”

The Importance of Derivatives and What Comes Next (Explaining Calculus #13)

This post doesn’t exactly introduce anything new about calculus. But, we must remember, it is important to reflect whenever we learn. Even in mathematics. In this post, I plan on achieving two main goals. One, we will reflect on what we’ve done so far by introducing the new ideas of limits and derivatives to ourContinue reading “The Importance of Derivatives and What Comes Next (Explaining Calculus #13)”

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Hi, I’m Will. I’m studying as a graduate student in math, and am also interested in theology, education, philosophy, science, and mental health. My goal here is to write defending the views I have on these subjects and to help interested readers learn more about these subjects.

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