f Calculus

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Applications of Calculus

Calculus is an extremely handy tool in the contemporary society. It is principally an aspect of mathematics that tends to integrate geometry with algebra. It comprises of two fundamental elements of mathematics referred to as integral and differential calculi. Integral calculus is usually associated with the accretion of measurable quantities, including but not limited to areas under curves, while differential calculus refers to the aspects and variations in motion (Spivak 345). However, the two ideas have always been used interchangeably as dictated by the rules of calculus. Calculus is applied in almost all disciplines. The fields that apply these concepts include economics, engineering, statistics, medicine, computer science, biology, and many other physical sciences and related fields. In addition, recent technological developments such as aeronautics and structural design make use of this mathematical discipline (Neuhauser 717).

APPLICATIONS IN SELECTED DISCIPLINES

As earlier detailed, calculus plays a pivotal status in almost all sub-disciplines related to the field of mathematics. In economics, calculus is the principal language used by economists to solve most problems (Bernardo 519). In particular, economists often make use of calculus to assess functional relationships, such as the relationship between independent and dependent variables. An example of an independent variable is employee skills while a dependent variable is income. The tool is also employed extensively in the field of engineering (Spivak 345). An element of the tool, popularly known as “Local Fractional Calculus”, can be used to model a set of engineering problems in what is known as fractal sets. Local Fractional Calculus primarily refers to the generalization of integration and differentiation of mathematical functions as defined on fractal-time space. Today, the concept of Local Fractional...