What is calculus?

Calculus is an integral part of advanced mathematics. It is primarily concernced with rates of change (differential calculus) and areas under curves (integral calculus). The applications of calculus range from complex analysis to probability. It is an extremely important tools in many areas of science outside mathematics, most notably physics and mechanics where it is extremely important to be able to find and manipulate mathematical expressions representing the rate of change of a quantity, for example, distance.

This document aims to give the reader a quick introduction to calculus and its main applications.