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.
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.
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.
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 “
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?
The regula-falsi method is the oldest method of finding the approximate numerical value of a real root of an equation f(x) = 0.
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.
An equation consisting of a differential coefficient is called a differential equation.
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.
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.
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.
Bayes theorem describes the probability of an event, which is based on prior knowledge conditions related to the events.