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.

As to the relationship between the fundamental operations of calculus, differentiation and integration, they are inverse operations in the sense that DIFF [INT (F(x)] is usually the same function ...

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.

Transformations of Functions: 1.3: An applet illustrating how transformations affect the graph of a function. Transformations are represented both algebraically and graphically. Differential Calculus: ...

Applets For Exploring Calculus: Visualizing Functions: link title related section Description; Visualizing Functions as Graphs: 1.1: A graph of a functions is a visual representation of the pairs ...

Many students find calculus intimidating—not because of the numbers, but due to its abstract nature. However, struggle is built into its DNA. This fea ...

Math 108: Brief Calculus with Applications This course is an introduction to the calculus of polynomial, rational, exponential and logarithmic functions, including some multi-variable calculus, with ...

Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky foundation. ... The Jagged, Monstrous Function That Broke Calculus .