Calculus is one of the most important branches of mathematics that deals with continuous change. The two major concepts that calculus is based on are derivatives and integrals. The derivative of a function is the measure of the rate of change of a function, while integral is the measure of the area under the curve of the function. The derivative gives the explanation of the function at a specific point whereas the integral accumulates the discrete values of a function over a range of values.
Calculus is also referred to as infinitesimal calculus or “the calculus of infinitesimals”. Infinitesimal numbers are the quantities that have value nearly equal to zero, but not exactly zero. Generally, classical calculus is the study of continuous change of functions.
- Limits and Continuity
- Differentiation and its Contextual and Analytical Applications
- Integration and its Applications