Definition OF Calculus PDF

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BRIEF DEFINITION AND ILLUSTRATION OF CALCULUS AND ITS SCOPE...

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Calculus 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.

What is Calculus? Calculus focuses on some important topics covered in math such as differentiation, integration, limits, functions, and so on. Calculus, a branch of mathematics, deals with the study of the rate of change, was developed by Newton and Leibniz. Calculus Definition: Calculus in Mathematics is generally used in mathematical models to obtain optimal solutions and thus helps in understanding the changes between the values related by a function. Calculus is broadly classified into two different sections:  

Differential Calculus Integral Calculus

Both differential and integral calculus serve as a foundation for the higher branch of Mathematics known as “Analysis”, dealing with the impact of a slight change in dependent variable, as it leads to zero, on the function....