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### calculus tutor and systems of equation

Posted On : Sep-30-2011 | seen (371) times | Article Word Count : 430 | Friends, I think calculus is the most important and hard topic in the world of mathematics. Calculus is basically a style of mathematic invented by Friends, I think calculus is the most important and hard topic in the world of mathematics. Calculus is basically a style of mathematic invented by Sir Isaac Newton. In general, the word "calculus" means rock. So today we are going to see the importance of calculus in the world of mathematics, physics and other areas of studies. Firstly we need to learn about basic of calculus. Calculus is basically a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. Basically it is the study of 'Rates of Change'. There are two main branches of calculus: Differential Calculus and Integral Calculus. Differential calculus determines the rate of change of a quantity and integral calculus finds the quantity where the rate of change is known.

In my opinion, calculus comes with three individual topics : limits, derivatives and Integral. Let's take these three sections : A function is a relation that uniquely describes a set of numbers and associated it with a set of variables. For example f(x) = x2 or y = x2

Limits : Limits describe the value of a function at a certain input in terms of its values at nearby input.

Derivatives or differential calculus is a rate of change. For example

average velocity = distance from 1 point to other / time

Integral is a term used to define the sum total of all parts.

dy/dx = f(x)

A system of equations come with the relationship between two or more functions, which can be used to form a number of real-world situations. It is basically a collection of two or more equations with the same set of unknowns. An equation can be linear or non linear. For solving the systems of equations we need to represent system of equations in a matrix form : Ax = b. Here where A is the matrix of coefficients, x is the column vector of variables, and b is the column vector of solutions. An example to show a system of equations:

2x + 3y – z = 1

3x – 4y – 7z = 8

-x + ¾ y – 2z = 4

It is a system of three equations in three variables x, y, z.

Calculus and Algebra are interrelated with each other, as with the college algebra help tool we can solve our calculus problem in an easier and faster manner and it also tells the student that how to arrive at the answer.

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