Calculus

What is Calculus?

The Calculus is a branch of mathematics deals with change. The change takes place everywhere in the universe. It happens around you and in your life. Babies grow, Youngman grows, business grows, and your bank balance grows or diminishes.

The number of friends on your social media (Facebook & Twitter) gets increase or decrease as well as number of like & share increase or decrease.

Film stars’ popularity increases or decreases as per their latest movie’s performance. Virat Kohli or Rohit Sharma’s follower increases on twitter as he plays another sterling inning. Your position keeps on changing. Amount of internet data of your mobile phone/laptop keeps on decrease according to your uses.

In the above mentioned activities everything keeps on change; somewhere it increases and somewhere decreases but one thing is certain that things get change. The calculus is the branch of mathematics that enables us to find out each minute change.

Calculus begins when Arithmetic fails:-  Suppose you drive a motor car with an average velocity of 60 km/h. Suddenly you decreases car’s speed to 0 km/h or apply break but the car does not stop at that place. It stops after a few minutes and after travelling some distance.

According to Arithmetic, the car should stop at that place where the break applied or engine snoozed but practically, the car keeps on moving and stop after travelling some distance.

Here, Arithmetic fails to explain the consequence but Calculus tells us when and where the car will stop. How much distance it will travel and how much time it will take to come into rest.

In short, Calculus tells us about all change whether it is smaller or bigger. There is mainly two ideas of Calculus – Derivative (Differential) and Integral.

Derivative:- It tells us how fast something is changing. It was discovered in 1600s in England and Germany. It is also called differential (calculus).

Integral:- How much something is accumulating. It was discovered in 250 BC in Greece.

This is two core ideas of Calculus and rest of thing is details of it. We read about how to get derivatives and how to integrate but core ideas behind it are these two ideas.

Pleasant twist in History:- Both concept were born in separate time and places. But they proved to be relatives. This relationship revolutionized Physics and mathematics forever.