Function Operations: adding, subtracting, multiplying and dividing functions and determining the domain of the functions produced Equality of Functions: examining whether two given functions are equal ...

The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...

A worksheet on composing functions. It includes harder exercises on this topic where the domain of the composition has to be determined based on the domains of the two original functions. Detailed ...

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.

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 ...