In Financial Institutions such as banks and other firms, we face financial risk which emanates from different source. Credit Risk as one of the prominent risk, had been found to reduce the efficiency of banks and other financial firms, hence, the research to model the risk . In this project, several models used to evaluate credit risk, including… Continue Reading
In this paper we introduce, numerical study of some iterative methods for solving non linear equations. Many iterative methods for solving algebraic and transcendental equations are presented by the different formulae. Using bisection method, false position method, secant method and the Newton’s iterative method and their results are… Continue Reading
In this project work, we studied the Adams-Bashforth scheme for solving initial value problems. We gave an indebt explanation on the Adam-Bashforth scheme, its consistency, stability, and convergence, the two and three step methods were also derived. Numerical solutions were obtained using four (4) examples. TABLE OF CONTENTS Cover page i… Continue Reading
Linear programming is a mathematical tool that is used to maximize or minimize a function when constraints are linear. In this project, we considered some examples and applications of linear programming problems. TABLE OF CONTENTS Title page Certification Dedication Acknowledgements Abstract Table of Contents List of Tables List of Figures CHAPTER… Continue Reading
A powerful and effective numerical tool called the Variational Iteration Method has been used to solve various kinds of differential equations over the years. Though the Variational Iteration Method has not been used solely to solve various kinds of differential equations as it … Continue Reading
In this project work, we studied the Adams-Bashforth scheme for solving initial value problems. We gave an indebt explanation on the Adam-Bashforth scheme, its consistency, stability, and convergence, the two and three step methods were also derived. Numerical solutions were obtained using four (4) examples. TABLE OF CONTENTS Cover page… Continue Reading
Contents 1 General Introduction 1 1.1 Background of Study . . . . . . . . . .1 1.2 Integral Equation . . . . . . . . . .......2 1.2.1 Fredholm integral equation . . .3 1.2.2 Volterra integral equation . . . . 4 1.3 Polynomials . . . . . . . . . . . . . . . . . 4 1.4 Orthogonal Polynomials . . . . . . .5 1.5 Chebyshev Polynomials . . . . . . . 6… Continue Reading
In this project work, we have established a systematic study of z transform and its analysis on Discrete Time (DT) systems. The researcher also deal with Linear Time Invariant (LTI) system and Difference Equation as examples of DT systems. The right and left shift was use as a method of solution of the z transform to linear difference… Continue Reading
It is said that mathematics is the gate and key of the sciences. According to the famous philosopher Kant, “A science is exact only in so far as it employs mathematics”. So all scientific education which does not commence with mathematics is said to be defective at its foundation, In fact it has formed the basis for the evolution of scientific… Continue Reading
The fundamental idea of the project is to provide basic and concrete concepts of the fuzzy set theory, and thus focused on easy illustrations of the basic concepts. There are numerous examples and figures to help readers to understand. It tries to explain the emergence of fuzzy sets from historical perspective. Looking back to the history… Continue Reading
This paper aims to have a brief study on the operation of an airbag deployment system using different sensors. Automobile airbag has gained acceptance over the years as an effective measure to reduce the morbidity and mortality associated with motor vehicle accidents, as such more vehicles have become equipped with them.As noble as the idea sounds… Continue Reading
A major grief of network and data security experts and consultants universally is about the capabilities of infectious malicious proxies (Malware) to overrun the whole systems on networks stations in order to inflict mayhem encompassing identity theft, financial scam and systemic digital assault on infrastructures and national resources. In this… Continue Reading
ABSTRACT Kerosene has been an important household fuel since the mid-19th century. In developed countries its use has greatly declined because of electrification. However, in developing countries, kerosene use for cooking and lighting remains widespread. This research work is focused statistical… Continue Reading
ABSTRACT This paper presents an overview of the Laplace transform along with its application to basic circuit analysis. There is a focus on systems which other analytical methods have difficulty solving. The concept of Laplace Transformation plays a vital role in diverse areas of… Continue Reading
TABLE OF CONTENT CHAPTER ONE INTRODUCTION 1.1 DEFINITION OF TERMS 1.2 SOLUTIONS OF LINEAR EQUATIONS CHAPTER TWO SIMULTAENOUS LINEAR DIFFERENTIAL EQUATION WITH CONSTRAINTS COEFFICIENTS. 2.1 LINEAR OPERATOR CHAPTER THREE APPLICATION OF SIMULTAENOUS DIFFERENTIAL EQUATIONS AND EXAMPLES 3.2… Continue Reading
ABSTRACT This research work focuses on the application of matrix in solutions of some physical problems in science and engineering which arise in every human endeavor. This project work attempt to present some physical problems from the selected field (aspect)… Continue Reading
ABSTRACT This Project examines matrices and three of its applications. Matrix theories were used to solve economic problems, which involves methods at which goods can be produced efficiently. To encode and also to decode very sensitive information. This project work also goes further to apply matrices to solve a 3 x 3… Continue Reading
DIFFERENTIATION AND IT’S APPLICATIONS ABSTRACT The project is written simply to illustrate on differentiations and their applications. The formation and classification of differentiation, the basic techniques of differentiations, list of derivatives and the basic applications of differentiation, which include motion, economic and chemistry.… Continue Reading
ABSTRACT Malaria is an infectious disease caused by the Plasmodium parasite and transmitted between humans through bites of female Anopheles mosquitoes. A mathematical model describes the dynamics of malaria and human population compartments in terms of mathematical equations and these… Continue Reading
ABSTRACT This paper examines the spread and control of Avian Influenza. A non-linear mathematical model for the problem is formulated and analyzed. For the prevalence of the disease and the ease of analysis, the model was considered in proportions of susceptible,… Continue Reading
ABSTRACT In this project, I presented a nonlinear mathematical model for the spread of Polio in a population with variable size structure including the role of vaccination. Using an expanded SIR model, the present contribution takes into account the e?ects of a rapidly… Continue Reading
1.0 INTRODUCTION 1.1 Introduction and Motivation 1.2 Aims and objective 1.3 Statement of the problem 1.4 Scope of the study 1.5 Definition of terms 2.0 CHAPTER TWO: LITERATURE REVIEW 2.1 Models and Modelling 2.2 TheLogistic model 2.3 The logistic differential equation 2.4… Continue Reading
. CHAPTER ONE 1.0 INTRODUCTION 1.1 Background of the Study Tuberculosis or TB (short for Tubercles Bacillus) is an air borne and highly infectious disease caused by infection with the bacteria mycobacterium tuberculosis. An individual is infected with the disease when he or she… Continue Reading
EFFECT OF MIND MAPS ON STUDENTS’ INTEREST AND ACHIEVEMENT IN MEASURES OF CENTRAL TENDENCY IN MATHEMATICS ABSTRACT The purpose of this work was to investigate the effect of Mind Maps on students’ interest and achievement in measures of central tendency. To ascertain the effect of teaching method and gender on the learners’ interest and… Continue Reading
ABSTRACT This project work is concerned with study of the comparison of Gaussian elimination and cholesky decomposition methods to linear system of equations. In chapter one, we are concerned with linear systems and the various methods of… Continue Reading