In the Idea of Limits video, we introduce the idea of limits and discuss how it underpins all of the major concepts in calculus. In the Limit Laws video, we introduce the limit laws and discuss how to ...

Graphs of Sine and Cosine 1.2 An applet illustrating how the graphs of sine and cosine are related to the unit circle. Transformations of Functions 1.3 An applet illustrating how transformations ...

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 ...

Calculus has long been the academic Goliath standing in the path of aspiring engineers, economists, scientists, and even philosophers. For many, it's not the numbers or equations that feel ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.