Sentence Outline
Essay title: Choose some areas or aspects of modern life in which calculus is important. Use real-life examples to illustrate importance of its concepts.
Introduction
- Calculus is a branch of mathematics which study the changing rates.
Calculus is used in many areas that we usually do not think its main concepts is built based on calculus. These includes physics, engineering, economics, medicine, and statistics.
- This essay will focus on the uses and importance of calculus in aspects of life, specifically in the field of economics, engineering and physics.
- It will be argued that calculus did not use just for theoretic and finding the symbol’s values. In contrast, it has many practical applications in our life.
- This essay will be covered the following aspects:
- Definition of calculus
- Calculus in the field of economics with examples.
- Calculus in the field of engineering with examples.
- Calculus in the field of physics with examples.
Main Body
Section 1 : Mathematical economics.
Mathematical economics is an applied and theoretical science which aims to explain economic objects, processes and phenomena in a mathematically formalized way.
- Mathematical economics: definition (Vasily, 2019)
- Memory revolution: use partial differentiation and integration to treat memory loss. (Vasily, 2019)
- Derivative applications in economic problems, e.g. analyze data using the derivative application of maximum earning. (Marsitin and Sesanti, 2019)
Section 2: Application of calculus in physics.
Calculus is used to prove hypotheses of physics, and to solve scientific problems.
- As example, In symbols, if t is the time, M is the room temperature, and f (t ) is the temperature of the tea at time t then f (t) = k(M f (t)) where k > 0 is a constant which will depend on the kind of tea (or more generally the kind of liquid) but not on the room temperature or the temperature of the tea.
Typically, a scientific theory will produce a differential equation (or a system of differential equations) that describes or governs some physical process, but the theory will not produce the desired function or functions directly.
Section 3: Application of Fractional Calculus in engineering.
Calculus science is used in many applications of various engineering where it frequently involves in the understanding of process ‘s nature, modifying it, and solving problems.
- As example, tuning of PID controllers using fractional calculus concepts. (Tenreiro Machado et al., 2010)
Conclusion:
The calculus branch is one of the most important branches in mathematics, and the fields of using Differential and Integral science are very wide. In this article, you touched on some of them with support of examples in modern life.
