Abstract: This paper describes the Laplace transform used in solving the differential equation and the comparison with the other usual methods of solving the differential equation. The method of Laplace transform has the advantage of directly giving the solution of differential equation with given boundary values without the necessity of first finding the general solution … Read More

# Category Archives: Mathematics

## Application of complex number in engineering

INTRODUCTION A complex number is a number comprising area land imaginary part. It can be written in the form a+ib, where a and b are real numbers, and i is the standard imaginary unit with the property i2=-1. The complex numbers contain the ordinary real numbers, but extend them by adding in extra numbers and … Read More

## Application of Matrices in Real-Life

Application of matrix in daily life Matrices are used much more in daily life than people would have thought. In fact it is in front of us every day when going to work, at the university and even at home. Graphic software such as Adobe Photoshop on your personal computer uses matrices to process linear … Read More

## Applications of Mathematics in Real Life

Applications of Mathematics in Real Life Situations 1.0 Application of Matrices Matrix concepts can be applied in various fields such as: Quantum Mechanics 3D Games Animations Cryptography and Others. We shall analyze the last one which is Encryption in further details. Encryption is indeed an important measure of security when there are transactions of data between parties. … Read More

## Applications Of The Pigeonhole Principle Mathematics Essay

Share this: Facebook Twitter Reddit LinkedIn WhatsApp We begin our discussion with a common daily embarrassing moment. Suppose that in one’s dresser drawer, he has socks of three different colours (all placed in messy order). Having to get up early in the morning while it is still dark, how does he ensure that he gets a matching pair of same … Read More

## Basics of Topological Solutons

Research into topological solitons began in the 1960s, when the fully nonlinear form of the classical field equations, were being thoroughly explored by mathematicians and theoretical physicists. Topological solitons were first examined when the solutions to these equations were interpreted “as candidates for particles of the theory” [1]. The particles that were observed from the … Read More

## Biography and Impact of Charlotte Angas Scott

Charlotte Angas Scott was an English mathematician born on June 8, 1858 in Lincoln, England. She was the 2nd child of seven to Caleb, a minister in a Congregational Church, and Eliza Ann Exley Scott (Encyclopedia of World Biography, 2010). In addition to his ministry, Caleb Scott was an educator and in 1865 became the … Read More

## Biography of Georg Cantor

Georg Cantor was born in St Petersburg, Russia. His birthday was March 3, 1845. Him and his family lived in St Petersburg Russia until he was 11 years old. They moved to Frankfurt Germany. They moved there because dad’s health was getting bad so he couldn’t take cold winters. Get Help With Your Essay If … Read More

## Calculus and Quadratic Formula to Determine Lengths

INTRODUCTION Calculus, which is one of the foremost branches of Mathematics, studies about the rates of changes. It was invented by Isaac Newton and Gottfried Leibniz in the latter half of the 17th century. It is now used in different fields and subjects such as science, economics, and engineering (Wikipedia, 2019). For example, in Physics, calculus … Read More

## Carrying out an open-loop step response on the process trainer pt326

Share this: Facebook Twitter Reddit LinkedIn WhatsApp INTRODUCTION: The control systems are based up on the behaviour of the dynamics systems and it is also a branch of the engineering and mathematical model of the process. The desired output of the system is called as reference. A controller is device which observes and outcome the changes in the output that … Read More

## Mathematical Learning in the Early Years

Introduction This is a well known fact that the early years of a child’s life are very important in terms of their emotional and social development, their general well being and their intellectual, emotional and physical growth. Almost all the children develop at different paces and what they learn takes place in the first three … Read More

## What are that iteration methods compare different iterative method?

Share this: Facebook Twitter Reddit LinkedIn WhatsApp What are that iteration methods compare different iterative method? What are the iteration methods? An iterative method is a powerful device of solving and finding the roots of the non linear equations. It is a process that uses successive approximations to obtain more accurate solutions to a linear system at each step. Such … Read More

## Computable Numbers: The Turing Machine

Louise Scupham This essay will explore the Turing machine and its relationship with computable numbers and an introduction to real numbers of various types. I will offer an explanation of the reasons why a number may or may not be considered computable through the use of the concept of countable sets and what makes a … Read More

## Conic section

Conic Section The names parabola and hyperbola are given by Apolonius. These curve are infact, known as conic sections or more commonly conics because they can be obtained as intersections of a plane with a double napped right circular cone. These curves have a very wide range of applications in fields such as planetary motion, … Read More

## Construction Of Real Numbers

most branches of economics such as calculus and probability theory. The concept that I have talked about in my project are the real number system. 2 Definitions Natural numbers Natural numbers are the fundamental numbers which we use to count. We can add and multiply two natural numbers and the result would be another natural … Read More

## Correlation of Mathematics With Other Subjects

“No subject is ever well understood and no art is intelligently practiced, if the light which the other studies are able to throw upon it is deliberately shut out.” – RAMONT What is correlation? The meaning of term ‘correlation’ in simplest form is “connect” or “to be connected”. More precisely, ‘Correlation’ means mutual relation of two or … Read More

## Correlation the Number of the Students’ College Applications and Consumption of Caffeine

Share this: Facebook Twitter Reddit LinkedIn WhatsApp Correlation the Number of the Students’ College Applications and Consumption of Caffeine Introduction and statement of intent: Students are exposed to a lot of stress during the college admissions process. These increased stress levels come with some negative consequences like the increase in consumption of caffeine. The objective of this academic project is … Read More

## Definite integral

DEFINITE INTEGRAL Integration is an important concept in mathematics which, together with differentiation, forms one of the main operations in calculus. Given a function ƒ of a real variable x and an interval [a, b] of the real line, the definite integral, is defined informally to be the net signed area of the region in … Read More

## Derivation and Geometry of the Catenary Curve

Mathematics SL Derivation and Geometry of the Catenary Curve Table of Contents Introduction 1 The Catenary Curve 1-2 Geometry and Defining Variables 3-5 Derivation 5-7 Application 8-9 Conclusion 9 Bibliography 9-10 Introduction ————————————————— My biggest interest has always been art and design. Both my brother and my dad work in construction which introduced me to … Read More

## Difference of Squares of Two Natural Numbers

Introduction Mathematics, a subject of problem solving skills and applications, has wide usage in all the fields. Basic skills of mathematical applications in number systems used even in day – to – day life. Though calculators and computers have greater influences in calculations, still there is a need to find new easy methods of calculations … Read More

## Models of Lesson Planning for Mathematics

Introduction Planning the word it contains more weightage as compared to any other word. We can only achieve any target often a proper planning strategy. In planning what is target to achieve is our goal with the available resources. Planning also plays an important role in teaching-learning process. While, doing a proper planning in teaching … Read More

## Digital signature

I. Introduction The main role of digital signature primitive is to preserve the data integrity of electronic document and to accomplish the requirement of authentication and verification. Only one signer using his/her private key generates an ordinary digital signature scheme. However, in some practical application, a document requires all group members to generate a signature … Read More

## Direct and iterative method

INTRODUCTION TO DIRECT AND ITERATIVE METHOD Many important practical problems give rise to systems of linear equations written as the matrix equation Ax = c, where A is a given n × nnonsingular matrix and c is an n-dimensional vector; the problem is to find an n-dimensional vector x satisfying equation . Such systems of … Read More

## Dislike of mathematics amongst secondary students

DISLIKE OF MATHEMATICS AMONGST SECONDARY STUDENTS 1. INTRODUCTION Why do kids, students and adults seem dislike mathematics? It is quite common for small children to say “I love numbers”. Do they really know exactly what mathematics is? Get Help With Your Essay If you need assistance with writing your essay, our professional essay writing service … Read More

## Elementary Number Theory

Bernard Opoku qCarl Friedrich Gauss, born into a poor working class family in Brunswick, now lower Saxon, Germany and died in Gottingen, Germany. He was a child prodigy with genius that did not impress his father who called him a “star-gazer.” His mother, Dorothea Gauss was the exact opposite of his father as she collaborated … Read More

## Types of Mathematics and Engineering

Engineering: Engineering is the word that does not have proper definition. Every person thinks with different point of view so create different definition but most commonly used definition of engineering is, this is the practical application of science to commerce or industry. As we know that the work of scientist is to know, the engineer … Read More

## Equation to Model a Cooling Cup of Coffee

MATHEMATICS SL Internal Assessment Mathematically Determining an Equation to Model a Cooling Cup of Coffee I. Introduction After having spent countless hours completing assignments and projects, I have too often found my coffee to be cold by the time I get around to drinking it. As a result, I began to question the reasoning behind … Read More

## Equity and social justice in the teaching and learning of mathematics

Share this: Facebook Twitter Reddit LinkedIn WhatsApp Equity and Social Justice in the teaching and learning of Mathematics Equity and Social justice are important issues in Mathematics teaching. This essay explores the relevance of how Mathematics Education may be a necessary factor in determining the social justice of a child’s upbringing, and consider how equity can be used to ensure … Read More

## Euler’s Totient Theorem

Summary Euler Totient theorem is a generalized form of Fermat’s Little theory. As such, it solely depends on Fermat’s Little Theorem as indicated in Euler’s study in 1763 and, later in 1883, the theorem was named after him by J. J. Sylvester. According to Sylvester, the theorem is basically about the alteration in similarity. … Read More

## Examining Matrices Of Relation

History of matrix had to be going back to the ancient times, because it is not applied until 1850. Matrix is the Latin word for womb, and is same in English. It can also mean something is formed or produced. Matrix was introdeced by James Joseph Sylvester,who have brief career at the University of Virginia, … Read More