4 Oct 2016

Simple Techniques for effective learning of Calculus!

Calculus was developed by Gottfried Leibniz and Isaac Newton and is one of the most important achievements known to science and mathematics. Newton is without doubt one of the most influential mathematicians of all time. Newton’s and his efforts to find a method in mathematics that could explain universal gravitation, devised the method of fluxions.

Today it is known as Differential and integral calculus. Newton was a private and secretive man, and kept his discoveries to himself. He did not publish much, and the majority of his works.

 It is now well established that Newton and Leibniz brought about the form of calculus.  Newton was first by about ten years but did not publish, and that Leibniz's papers of 1600’s were the earliest publications on the subject.

Calculus is the branch of mathematics that studies the rate of change in quantities and length, area, and volume of objects.

Calculus has two main branches

Differential Calculus

It is a function that relates the values of the function to the values of its derivatives. It deals with the concept of taking a derivative, also known as differentiation.

Integral Calculus

It associated with the branch of maths and the determination of application and properties of integrals, also called integrating. Which means splitting a curve into a really small part so that you can find the total area of the space under the whole curve.

Calculus I covers very basic differential equations, limits, derivatives and some theorems like  Mean Value Theorem and applications of such things e.g. rate of change problems & L'Hôpital's Rule.

Calculus II usually covers integration, series like applications of integration and Taylor series, like  certain area problems.

Uses of Calculus in Daily Life

Calculus is widely used in almost every technical or scientific field.
Example: When you see a bike on the road, how do you decide if it is going fast or slow ? you inherently calculate the distance the bike has travelled by differencing its coordinates, divide it by the instance of time and decide that it’s going fast or slow. Well, you inherently calculated a derivative. Simply put, Calculus is just a method to solve simple problems like position, time, velocity and acceleration etc

Calculus covers various other topics like Limits, Numerical Integration and Numbers, Special functions  Lists and Tables, Multivariable and Series.

To learn more about Maths concepts Calculus Limits, Special functions and Numbers, Numerical Integration, Lists and Tables, Multivariable, Series and Math download  BYJU’s The Learning App and to know more visit @Byjus.com.
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