Maths

The determinant of a matrix is a number that associated with the square matrix. This number may be positive, negative or zero.

An equated monthly instalment(EMI) is a fixed payment amount made by a borrower to a lender at a specified date each calendar month.

compound interest is calculated on interest as well as on principal. Therefore, compound interest is sometimes described as ‘interest on interest’.

Linear programming problems having two variables can be easily solved by a graphical method which provides a pictorial representation of the solution and we get insights into the basic concept used in solve LPP.

Probability theory: In many real life situations when we are unable to forecast the future with complete certainty. That is, in many decisions, we face the uncertainty. This leads to the study and use of the probability theory.

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

Sequencing problems deals with the selection of an optimum order for the number of jobs to be performed with a finite number of facilities.

A distribution is said to be a binomial distribution if the following conditions are met. 1. Each trial has a binary outcome (One of the two outcomes is labeled a ‘success’)

Basically correlation is the measurement of the strength of a linear relationship between two variables say x and y.

An equation consisting of a differential coefficient is called a differential equation.

Simpson’s rules are very useful in numerical integration to evaluate such integrals.

Moments are the statistical tools used to describe the characteristics of a distribution. moments are the arithmetic means of first, second, third and fourth.

the correction between these n pairs of rank is called the rank correlation in the characteristics A and B for that group of individuals.

The concept of probability distribution gives the idea about the probabilities of any random experiment.

When one task is to be assigned to one person in such a way that the total person hours are minimized, then this kind of problem is known as assignment problem.

The method of variation of parameters is the general method which we use to find out a particular solution of a differential equation by replacing the constants in the solution of the homogeneous differential equation by functions and evaluating these functions so that the original DE will be satisfied.

The term ‘regression analysis’ means some sort of functional relationship between two or more related variables. Regression is the estimation of unknown values of one variable from known values of another variable.

The ratio test is also known as D Alembert’s ratio test. It was first published by Jean le Rond d’ Alembert.

An exact differential equation is formed by differentiating its solution directly without any other process,Is called an exact differential equation if it satisfies the following condition-

The rule of L’Hospital’s was given by  Guillaume de l’Hôpital. The technique discussed in this method is used to evaluate indeterminate forms. suppose we have two functions f(x) and g(x) and both are zero at x = a, then the fraction f(a)/ g(a) is called the indeterminate form 0/0.

introduction to the method of least squares- When we find the area of a triangle then it depends on base and height, hence we can say that area of the triangle is the function of base and height.

When we find the area of a triangle then it depends on base and height, hence we can say that area of the triangle is the function of base and height. In other words, when we have a mathematical function having more than one variables, we use partial differentiation.

Comparison test, which is also known as limit comparison test. we use this method to test the convergence of an infinite series.

In the narrow sense of the term, the theory of function of a complex variable is the theory of analytic functions (cf. Analytic function) of one or several complex variables.

Basically correlation is the measurement of the strength of a linear relationship between two variables say x and y.

An equation consisting of a differential coefficient is called a differential equation.

Simpson’s rules are very useful in numerical integration to evaluate such integrals.

The concept of probability distribution gives the idea about the probabilities of any random experiment.

Moments are the statistical tools used to describe the characteristics of a distribution. moments are the arithmetic means of first, second, third and fourth.

the correction between these n pairs of rank is called the rank correlation in the characteristics A and B for that group of individuals.