Calculus IV is a college-level math course that integrates and builds up the lessons students learned in Calculus I, II and III while adding new math concepts. The course covers topics that are applicable to students majoring in engineering, physics and applied mathematics.
Calculus IV typically begins with the study of the integration of functions of two and three variables. This is followed by the study of the calculus of vector fields and their differential operators, including divergence, gradient and curl. Various types of integrals of vector fields and their fundamental theorems are also studied.
There are two major branches of calculus, differential calculus and integral calculus. Differential calculus concerns rates of change and slopes of curves, while integral calculus concerns accumulation of quantities and the areas under and between curves. Some minor branches of calculus include propositional calculus, calculus of variations, lambda calculus and process calculus.