Applications of Calculus: Calculus is a part of mathematics and is also used in physics. With calculus, we can find how the changing conditions of a system affect us. You can learn how to control a system by studying calculus. Calculus is the language of engineers, scientists, and economists. From your microwaves, cell phones, TV, and car to medicine, economy, and national defense all need calculus. And so here is how calculus is used in our daily lives. In this article, we have listed down some of the useful applications of Calculus in our day-to-day life.
Applications of Calculus
Before we understand the uses of Calculus in our daily life, first understand what is calculus.
Definition of Calculus: Calculus, originally called infinitesimal calculus or “the calculus of infinitesimals”, is the mathematical study of continuous change, in the same way, that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.
Given below are some of the most common applications of Calculus:
It is used for Portfolio Optimization i.e., how to choose the best stocks.
- Statisticians will use calculus to evaluate survey data to help develop business plans. A survey involves many different questions with a range of possible answers, calculus allows a more accurate prediction.
- Credit card companies use calculus to set the minimum payments due on credit card statements at the exact time the statement is processed.
- Inorganic Chemistry: The Rate of Reaction i.e., How fast a reaction takes place. (Integration)
- Study of Population: Analyzing how the population of predators and prey evolves over time. It is done using Differential Equation. Biologists use differential calculus to determine the exact rate of growth in a bacterial culture when different variables such as temperature.
- Mechanics: Velocity and acceleration all come from simple derivatives of the position function.
- Electrical Engineering: An electrical engineer uses integration to determine the exact length of power cable needed to connect two substations that are miles apart.
- Architect: An architect will use integration to determine the amount of materials necessary to construct a curved dome over a new sports arena.
- Space flight engineers: Space flight engineers frequently use calculus when planning lengthy missions. To launch an exploratory probe, calculus allows each of those variables to accurately take into account the orbiting velocities under the gravitational influences of the sun and the moon.
- Graphic artist: A graphics artist uses calculus to determine how different three-dimensional models will behave when subjected to rapidly changing conditions.
Here are some of the frequently asked questions on the applications of calculus:
Q1: What are the real-life applications of calculus?
A: Calculus is used to solve the area of complicated shapes, evaluating survey data, the safety of vehicles, business planning, credit card payment records, or finding the changing conditions of a system that affect us, etc.
Q2: What are the 4 concepts of calculus?
A: The 4 basic fundamental concepts of calculus are limits, functions, derivatives, integrals, and infinite series.
Q3: What are the uses of calculus in Physics?
A: In Physics, calculus is used in a lot of its concepts. Among the physical concepts that use concepts of calculus include motion, electricity, heat, light, harmonics, acoustics, astronomy, and dynamics. In fact, even advanced physics concepts including electromagnetism and Einstein’s theory of relativity use calculus.
Q4: What are the applications of calculus in Chemistry?
A: In the field of Chemistry, calculus can be used to predict functions such as reaction rates and radioactive decay.
Q5: In Economics, what are the applications of calculus?
A: In Economics, calculus is used to compute marginal cost and marginal revenue, enabling economists to predict maximum profit in a specific setting.
A wide range of careers regularly uses calculus. Whether in graduation level Universities, military, government agencies, airlines, entertainment studios, software companies, and construction companies. Even doctors and lawyers use calculus to help build the discipline necessary for solving complex problems. So in short calculus is used almost everywhere. It is very important for even the exam point of view and hence you can start practicing calculus from today itself with Embibe.5736 Views