We can abstract the derivative by saying the derivative of the function f (x) = x 2 is 2x. We can also make a generalized definition of the derivative using Zeno’s arrow example: ...

If you have a function that represents something, the derivative of that function describes the rate of change at any point. The integral describes the area under the curve of the 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.

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 ...

What is the derivative and why do you need it in physics? Here is a very quick introduction to derivatives to get you through your first physics course.

Note MT105 Calculus II-AP (Math & Science Majors) assumes that you've studied the transcendental functions (exponential and logarithm). If you studied Calculus but did not learn the Calculus of these ...