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Calculus: The Study of Continuous Change by Dr. Madhvi Acharya, Department of Science, SICA College, Indore

 


Calculus: The Study of Continuous Change

“Without mathematics, there's nothing you can do. Everything around you is mathematics. Everything around you is numbers.”

Shakuntala Devi

 

Calculus deals with two basic operations, differentiation and integration, and is the tool which is used by engineers to determine quantities such as rate of change and area. In fact, calculus is the mathematical "backbone" for dealing with problems where the variables change over time and other reference variables, and a basic understanding of calculus can be studied further and used to solve technical problems. It's more practical for building essential confidence. This means that a physical system is modeled and the "rate of change" equations (called differential equations) are used to describe the physical system, perform analysis, and form solutions under defined conditions.

Calculus covers the following:

1.Differentiation: The method of finding an instantaneous change called "derivative" of various functions.
2.How to use derivatives to solve various kinds of problems.
3.Integration: The process of finding the antiderivatives of functions.
4. Study of detailed methods for integrating functions of certain kinds.
5. How to use integration to solve various geometric problems, such as computations of areas and volumes of certain regions.

Some examples of calculus in different fields like:  

Electrical engineering uses a calculus (integral) to determine the exact length of the power cable required to connect two substations that are several miles away.

In Physics to calculate the center of mass.

Statisticians use calculations to evaluate survey data to help develop business plans for various companies. Because the survey contains different questions with different possible answers, calculus can help you predict the appropriate action more accurately.

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Comments

  1. AnonymousAugust 26, 2022 at 7:54 AM

    Nice

    ReplyDelete
  2. AnonymousAugust 26, 2022 at 8:18 AM

    Mathematics is a calculation science which is used widely in many fields like astrology and numerology.
    Astrology is basically a science of reading the start values, positional, transitional etc, based on the rotation of the earth.
    And therefore Mathematics is closely related with astrology.

    Excellent Article

    ReplyDelete
  3. AnonymousAugust 26, 2022 at 8:38 AM

    “Without mathematics, there's nothing you can do. Everything around you is mathematics. Everything around you is numbers.”

    I just came across an awesome article
    Very Nice

    ReplyDelete

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