Maths

Matrices have a wide range of applications in various disciplines such as chemistry, Biology, Engineering, Statistics, economics, etc.

Graph theory is intimately related to many branches of mathematics. It is widely applied in subjects like, Computer Technology, Communication Science, Electrical Engineering, Physics, Architecture, Operations Research, Economics, Sociology, Genetics, etc. In the earlier stages it was called slum Topology. It also has uses in social sciences, chemical sciences, information retrieval systems, linguistics even in economics also.

A non-empty set R, equipped with two binary operations, called addition (+) and multiplication (.) is called a ring if the following…

In calculus, the definite and indefinite integrals are the types of integration used to integrate the functions. The function can be exponential, power, logarithmic, constant, polynomial, or linear. These types of integral are used frequently to determine the area under the curve.

Pigeonhole principle-If n pigeonholes are occupied by n + 1 or more pigeons, then at least one pigeonhole is occupied by more than one pigeon.

Bar diagrams are the most commonly used diagrams. Shape of a bar is like a Rectangle.

The simplex method is one of the most powerful and popular linear programming methods. The simplex method is an iterative procedure to…

Overview(Maxima and minima)- A function f(x) is said to be maximum at x = a if f(a) is greater than every other…

Sample space: Set of all possible outcomes of a random experiment is known as sample space and we denote it by S, and the

Integration is the reverse process of differentiation. It is also called anti-differentiation.

For drawing less than cumulative frequency polygon or curve (or less than ogive), first of all the cumulative frequencies are plotted against the values (upper limits of the class intervals) up to which they correspond and then we simply join the points by line segments, curve thus obtained is known as less than ogive.

The exponential distribution is a continuous probability distribution and it is a widely used distribution in various fields such as engineering, research, data sciences etc.

The concept of sets is widely used in mathematics as well as in other fields such as engineering, computer sciences etc.

Introduction: In order to understand the concept of relations, let’s consider the following example:

Let X and Y are two sets. A relation f from X to Y is said to be a function if for every x ∈ X there is a unique element y ∈ Y, such that (x, y) ∈ X

When the changes in one variable are associated or followed by change in the other, we say that there is a correlation between the two. Such data connecting two variables is called a bivariate population.

Before studying about permutation and combination, we will have to know about factorial.The product of the positive integers from 1 to n is denoted by n! And we read it as “factorial “

Let X and Y are two sets. A relation f from X to Y is said to be a function if for every x ∈ X there is a unique element y ∈ Y, such that (x, y) ∈ X

Shares and mutual funds-Share is the smallest unit of the capital of a company. In other words, A unit of ownership, that represents an equal proportion of a company’s capital is called as shares.

The consumer price index measures the amount of money which consumers of a particular class have to pay to get a basket of goods & services at a particular point of time in comparison to what they paid for the same in the base period.

Chinese remainder theorem- Once a Chinese riddle asks the following question- Is there a positive integer x such that when x is divided by 3 it yields a remainder 2, when x is divided by 5 it yields a remainder 4, and when x is divided by 7 it yields a remainder 6?

An annuity is a sequence of equal payment or a sequence of regular payment at regular intervals or in other words.

We can lent or borrow money from one entity to another. The price to be paid for the use of a certain amount of money for a certain period of time is known as interest.

The population is the collection or group of observations under study in a survey sampling.The total number of observations in a population is known as population size and it is denoted by N.

Successive differentiation is the process in which we can differentiate the function successively multiple times and the derivative we find is called the successive derivative.

Taylor series method to solve the first order ordinary differential equation- The general first order differential equation

We can lend or borrow money from one entity to another. The price to be paid for the use of a certain amount of money for a certain period of time is known as interest.

Sequencing: Processing n-jobs through 2 machines Consider n jobs (say 1,2, …n) to be processed on two machines A and B, in the order AB.

We denote the product of the positive integers from 1 to n by n! and we read it as “factorial

When we apply any of the following operation on a matrix, then it is called an elementary transformation.