Exponential Models (Explaining Calculus #11)

We’ve used calculus for a couple different applications at this point. I’d like to tack on another application to our list, perhaps the most important one – at least from the perspective of a society very reliant on technology, engineering, and science. The application I have in mind goes under the very broad title ofContinue reading “Exponential Models (Explaining Calculus #11)”

Optimizing Real-World Stuff (Explaining Calculus #10)

In the previous post in this series, I explained how you can use derivatives to locate maximizing and minimizing values for functions. Now, I will put that knowledge to use in concrete examples to show exactly how this works. Example 1: Building a Fence Imagine the following situation. You are a farmer, and you wantContinue reading “Optimizing Real-World Stuff (Explaining Calculus #10)”

How Would We Know COVID-19 is in Decline?

In light of the current COVID-19 pandemic, I have written an article entitled How Does Disease Spread? in which I discuss how mathematicians attempt to understand the way that a virus is spreading in the population. In said article, my primary focus is building up the concepts and thought processes that are needed to understandContinue reading “How Would We Know COVID-19 is in Decline?”

How Does Disease Spread?

These are difficult times. Because of the spread of the COVID-19 virus, we are all taking very drastic measures to ‘flatten the curve’ by socially distancing, increasing our awareness of hygiene, and many other measures. These, of course, should be done, because lives will be saved. But how, exactly, do we know this? We don’tContinue reading “How Does Disease Spread?”