Maths

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.

Numerical integration is the method to calculate the approximate value of the integral by using numerical techniques.

This method was given by Leonhard Euler. Euler’s method is the first order numerical method for solving ordinary differential equations with given initial value.

The characteristic equation is the equation which is used to find the Eigenvalues of a matrix. This is also called the characteristic polynomial.

The integration of a function of a complex variable along an open or close curve in the plane of the complex variables is known as complex integration. Cauchy’s integral theorem is the part of complex integration.

functions play an important role in mathematics. A function defines a specific correlation between the two data sets. Beta and gamma functions are from the group of Euler’s integral functions.

curve tracing- a picture speaks more clearly than words and numbers. A curve which is the image of functional relationship gives us a lot information about the relation.

A matrix is the rectangular arrangement of arrays, that we arrange in rows and columns. the term “Matrix” was coined by James Joseph Sylvester in 1850. In this blog we are going to discuss about the matrix operations

If u and v are functions of the two independent variables x and y , then the determinant, is known as the jacobian of u and v with respect to x and y.

A function is said to be analytic function at a point z0 if f is differentiable not only at z0 but an every point of some neighborhoods at z0.

If we get a square matrix from an identity or unit matrix by using any single elementary transformation is called elementary matrix.There are two types of echelon form of a matrix.

The t-distribution, which is also known as the student’s t-distribution, is the continuous probability distribution. It looks like a normal distribution.

A function f(x) is said to be periodic function if f(x + T) = f(x) for all real x and some positive number T.

The regula-falsi method is the oldest method of finding the approximate numerical value of a real root of an equation f(x) = 0.

Overview (sequence and series) A function f : N  , where S is a non-empty set , is called sequence , for…

The degree of curvedness is used to determine the shape of a plane curve. Curvature is the measure of rate of change in of curvedness.

Simpson’s rules are very useful in numerical integration to evaluate such integrals. Here we will understand the concept of Simpson’s rule.

A differential equation of the form dy/dx + Py = Q is known as a linear differential equation or simply LDE.

If the change in one variable affects a change in other variable, then these two variables are said to be correlated.

A Maclaurin series is a special case of Taylor series. The Taylor’s series is an expansion of a particular function about a point ‘a’.

The concept of probability distributions gives the idea about the probabilities of any random experiment. let’s know more about probability distributions.

An equation consisting differential co-efficient is called a differential equation. There are two types of differential equations.

The differential equations having function of the same degree are said to be homogeneous differential equations.

A partial derivative of a function of several variables is an ordinary derivative with respect to one of the variables when all the other variables remain constant.

Fourier series which is now used in various problems related to vibrations and heat transfer (Heat equation, which is a type of partial differential equation).

Bernoulli equation is the nonlinear differential equation.

The probability of an event X, such that event Y has already happened, is called conditional probability

To test the hypothesis, we draw a sample from a large population and make certain decisions about the population

Every square matrix satisfies its characteristic equation, that means for every square matrix of order n,