Archive for the "Mathematics" Category

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Maxima and Minima

Table of content:-
1) Maxima and minima
2) Definitions
3) Finding maxima and minima
4) Examples
5) Functions of more variables
6) A counterexample
7) Absolute Maxima and Minima
Examples
9) Examples of Kepler’s Wedding
10) Maxima and Minima from Calculus
11) The first derivative: Maxima and Minima
Maxima and minima:-
In mathematics, maxima and minima, known collectively as extrema, are the largest value (maximum) or smallest value (minimum), that a function takes in a point either within a given neighbourhood (local extremum) or on the function domain in its entirety (global extremum). (…)

Orietation played a role in connection with a surface integral

Table of content:-
1) Surface Intetgral
2) Oriented Regions and their Integration
3) Definition of the Integral over a Surface in Space
4) GAUSS’ THEOREM AND GREEN’S THEOREM IN SPACE
5) Definition of the Integral over a Surface in Space
Surface Intetgral:-
The theory of integration for three independent variables includes not only triple integrals and line integrals, but the third concept of the surface integral. (…)

Solve y’’+4y’=0 (i) By constant coefficient method (ii) By reduction to first order. Can you explain why the result must be same in both the cases.

Table of content:-
1)   Constant coefficient method
2)   Examples
3)   Reduction of Higher Order ODEs to a System of First Order ODEs
4)   Examples
Constant coefficient method:-
In mathematics, constant coefficients is a term applied to differential operators, and also some difference operators, to signify that they contain no functions of the independent variables, other than constant functions. (…)

PROBABILITY–TYPES OF RANDOM VARIABLES

A discussion on the variolus types of random variables
BRIEF INTRODUCTION TO THE TOPIC
Probability, as its name suggests means finding out the chance of happening of an event from a no of different events. (…)

fourier series

Introduction
Fourier Series
Euler’s Formula
Derivation Of Euler’s Identity

INTRODUCTION

Euler’s formula shows a deep relationship between the trigonometric functions and the complex exponential function. (…)

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