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)”

Antiderivatives (Explaining Calculus #15)

In the last post in the series on calculus, we talked about Riemann sums – which is just a fancy way of speaking of estimating the area of a complicated region by using lots of rectangles to obtain an approximately correct answer. The post that I must follow this up with, which for now seemsContinue reading “Antiderivatives (Explaining Calculus #15)”

Explaining Calculus (Intro)

In our day and age, this word strikes fear into many hearts. Much like ‘rocket science,’ it is used in our culture to represent anything that is extremely difficult or even something incomprehensible. I am talking about calculus. Those who have taken a course in this topic will have a good idea of what kindsContinue reading “Explaining Calculus (Intro)”