The Importance of Calculus in Real Life: Examples from Various Fields
What is Calculus?
Calculus is not just limited to sales growth and optimization, it has a wide range of applications in various fields such as physics, engineering, and economics. In physics, calculus is used to study motion, forces, and energy, among other things. Engineers use calculus to design bridges, tunnels, and buildings, and to study fluid mechanics and electromagnetism. Economists use calculus to model complex systems and make predictions about market trends. Calculus is even used in medicine to model and analyze biological systems. To foucs on Calculus in real life, this essay will explore some of the most significant applications of calculus in various fields, and discuss how it is essential for solving real-world problems.
Types of Calculus
Basically, there are two types of Calculus. Differential & Integral Calculus. Differential Calculus keeps differentiating or divides things into small pieces and tells us how they change from one moment to the next. On the other hand, integral calculus joins the small pieces together and tells us how much of something is made, overall, by a series of changes. That means integral calculus is exactly the opposite of differential calculus. How is calculus used in real life?
‘Calculus’ is a Latin word, which means ‘stone. ’ Romans used stones for counting. For the counting of infinitely smaller numbers, Mathematicians began using the same term, and the name came from that concept. So, we can use calculus in every aspect of our life where counting is the main priority. Basically, calculus used extensively in - Architect Engineering Electrical Engineering Used in biology by the biologist Used in Physics Used in Statistics Used in Economics Even used to make games or graphics that might be your addiction. Now, the question is how? The main formula discusses for differential calculus is dx(c)=0 where c is any constant Whereas the basic formula used in integral calculus is ∫f(x)dx=F(x)+C since integral calculus exactly opposite of differential calculus. In the above formula f(x) indicates the function of x, dx as the differentiation of x, n is the total number and c refers to constant numbers or values. Now apply calculus in your daily life by using the above two formulas. If you still don't get the process of application of the formulas.
Application
Then let's discuss more, how other professionals apply the calculus on their field.
- Economist uses calculus for the determination of a maximal profit by providing an easy way to calculate the marginal cost and marginal revenue.
- Physicians use calculus to calculate the center of mass, mass and gravity moment of inertia of a moving object.
- In Statistics calculus is used to assess the survey data to improve and develop business plans for different companies.
- Chemists use calculus to determine the rate of a chemical reaction.
- Likewise, calculus is also used by doctors, lawyers, game and software developers, graphics engineers, credit card companies, security companies, and many more fields.
In one line, calculus is so important and necessary for most professions. But what if you are a non-Math backgrounded person and want to apply calculus to your daily life? In that case, let me give an easy real-life example so that you can find calculus everywhere. Suppose a box of chocolate has been kept just in front of you on the table. And you want to know the number of chocolates as well as its volume. Well, count hypothetically the number of chocolates is at the bottom of the box. Divide the number by 2 and square it again. Multiply the number with 3. 5 or 3. 7 and get a result. Again count hypothetically how many chocolates are at the upside of the box. Multiply the numbers with the previous result. And now you have the volume in units of chocolates. As well as the total number of chocolates in the box. This is a basic real-life use of integral calculus. This way you can find calculus everywhere to make your life easier despite a non-Math major person. Eventually, if I summarise the topics then it stands, differential calculus is the opposite of integral calculus. Differential calculus is used to find something by dividing the values with respect to its function. On the other hand, integral calculus is used to add all the pieces together. And still, there is no alternate of Calculus for the betterment of mankind.