Thursday 19 July 2012

Differential Calculus

In the previous post we have discussed about limit laws and In today's session we are going to discuss about Differential Calculus. Dear students in today’s class we will study a very important and very interesting topic that is calculus. It is a branch of mathematics. We will take a brief idea about this topic.“Calculus” is a Latin word which means a tiny stone that is used for counting. It is a branch of mathematics which is basically based on functions, limit, differentiation and  integration. It constitutes of two major branches. One of which is differential calculus and another is integral calculus. Differential calculus is the study of change of limit, function and derivative . Differential calculus has vast  applications in the field of science, engineering and  sometime in economics also.  (know more about Differential Calculus, here)
It is also called that differential calculus is a very important method or system of calculation which is explained by the representative manipulation of expressions. There are many examples of differential calculus. Differential Calculus was the first success of modern mathematics and it is very tough to avoid its importance.  It only clears more efficiently the system of mathematical analysis.
Calculus is generally developed by manipulating very small quantities. Calculus has been used in every branch of the computer science, physical science, statistic, engineering, economics, business,etc. Calculus can also be used in combination with other mathematical branches.
Lets take a example: it can be used in theory of probability to settle on the probability of a nonstop arbitrary variable from an assumed density function. it can also be used with linear algebra to determine  the "best fit" linear approximation.
Calculus is also applied to evaluate estimated solutions to equations.  It is the very important way to solve differential equations in most applications.
So, we can say that calculus has very wide applications in the field of mathematics and even imagine of mathematics is not possible without “Calculus”.
There are different types of carbohydrates. It can be seen in icse syllabus 2013

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