This is probably the last of three articles on how piecewise-linear functions could be used as a helpful on-ramp to the big ideas in calculus. In the first article, we saw how it’s possible to develop ...

The Fundamental Theorem of Calculus is a cornerstone of calculus, linking the concepts of differentiation and integration. This video provides a thorough and accessible explanation of this important ...

In mathematical calculus, integration and differentiation are two of the most interesting concepts. Both of these concepts are concerned with how things change over time. Since every material object ...

Glenn Bruda, a 17-year-old high school student, is credited with the discovery of a novel calculus formula that he has named the Maclaurin Integration technique. (Photo courtesy of Jennifer Bruda) ...

How do you integrate with a computer? Let's start with an example. Suppose a car travels only in the x-direction. It starts at x = 0 m with a velocity of 0 m/s. If the car has a constant acceleration ...

Calculus has a formidable reputation as being difficult and/or unpleasant, but it doesn’t have to be. Bringing humor and a sense of play to the topic can go a long way toward demystifying it. That’s ...

Contrary to widely-held opinion, taking high school calculus isn't necessary for success later in college calculus -- what's more important is mastering the prerequisites, algebra, geometry, and ...