Calculus is a discipline of applied mathematics and is concerned with limits, functions, derivatives, integrals and infinite series. Calculus has two major branches— differential calculus and integral calculus. Calculus is the study of change and is used to solve complex equations of mathematics. It is a part of mathematical analysis and is used extensively in science, engineering and economics with the help of its functions and operations.
Roots of calculus can be found in ancient Equation Moscow papyrus (1820 BC) without many details. Likewise Greek mathematician Eudoxus invented the method of exhaustion to calculate the areas and volumes and Archimedes developed this idea by inventing heuristics which was the method of integral calculus. Later Calculus was developed by Europeans mathematics and Isaac Newton used it in his laws of motions and gravitation. In modern time various mathematicians discovered new theorems to solve the complex equations of mathematics like analytical functions, higher derivatives, Taylor series and analytical functions. Gottfried Wilhelm Leibniz, Isaac Newton and Maria Gaetana Agnesi, Cauchy, Riemann, Weierstrass, Lebesgue and Laurent Schwartz are some major mathematician’s name who helped calculus by their work. Now it is taught as either a separate or a part of mathematics papers.
Both branches of calculus cover different scopes of mathematical calculation such as differential calculus is used to do computation of velocity, acceleration and slope of a curve while the integral calculus is used to find area, volume, arc length, work, pressure and center of mass. Likewise in more complex and advanced applications we use power series and Fourier series. Calculus is an undivided part of engineering including other disciplines of science such as physical sciences, actuarial science, computer science, statistics, economics, business, medicines, demography and such on. It provides tool for typical difficulties of mathematics related to division by zero or infinite and helps to calculate the exact value of a function or variable.