Jane

Recent Posts

Where do Taylor series come from and why do we learn about them?

Posted by Jane on 2/26/20 11:00 AM

Taylor series can often seem a bit mysterious the first time that we learn about them. The formula for the Taylor series of a function f(x) around a point x=a is given by

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Tags: math

What is implicit differentiation and how does it work?

Posted by Jane on 2/19/20 11:00 AM

One topic that seemed a bit mysterious and magic to me when I first learned calculus was implicit differentiation. In this post, we’ll start by reviewing some examples of implicit differentiation and then discuss why implicit differentiation works.

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Tags: math

But what is “dx” really? Calculus terms explained

Posted by Jane on 2/12/20 11:00 AM

The symbol “dx” comes up everywhere in calculus. For example:

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Tags: math

An Application of Calculus: Finding Optimal Road Networks

Posted by Jane on 9/25/19 11:00 AM

Suppose that we have many towns spread across the country and we are trying to connect them with a network of roads. If we would like to do so by laying as little road as possible, how do we do it? In this blog post, we will use Calculus to tackle a special case of this optimization problem.

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Tags: math