Mathematics Final Year Project Research Topics

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1

NUMERICAL METHODS FOR SOLVING PARTIAL DIFFERENTIAL EQUATION

CHAPTER ONE 1.0 INTRODUCTION 1.1 BACKGROUND OF STUDY Partial differential equations (PDEs) provide a quantitative description for many central models in physical, biological, and social sciences. The description is furnished in terms of unknown functions of two or more independent variables, and the relation between partial derivatives with respect to those variables. A PDE is said to be nonlinear... Continue Reading »

Item Type & Format: Project Material - Ms Word |  56 pages |  Instant Download  |  Chapter 1-5  |  MATHEMATICS DEPARTMENT

2

TO DEVELOP MATHEMATICAL MODELS FOR POWER LOSSES ALONG TRANSMISSION LINES AND TO MINIMIZE THE LOSSES USING CLASSICAL OPTIMIZATION TECHNIQUES

CHAPTER ONE GENERAL INTRODUCTION 1.1 BACKGROUND TO THE STUDY Energy is a basic necessity for the economic development of a nation. There are different forms of energy, but the most important form is the electrical energy, (Gupta, 2008) A modern and civilized society is so much dependent on the use of electrical energy. Activities relating to the generation, transmission and distribution of electri... Continue Reading »

Item Type & Format: Project Material - Ms Word |  90 pages |  Instant Download  |  Chapter 1-5  |  MATHEMATICS DEPARTMENT

3

ASSESSMENT AND FACTORS RESPONSIBLE FOR MASS FAILURE OF MATHEMATICS IN JUNIOR SECONDARY SCHOOL CERTIFICATE EXAMINATION IN KADUNA NORTH L.G.A KADUNA ST...

CHAPTER ONE INTRODUCTION 1.1 Background of the Study For Nigeria to realize her dream in the development of Junior Secondary Schools, the students of the country must show outstanding performance in all secondary school subjects, most especially in junior secondary school certificate examination mathematics. The word “Mathematics” comes from Ancient Greek word “Mathema”, me... Continue Reading »

Item Type & Format: Project Material - Ms Word |  59 pages |  Instant Download  |  Chapter 1-5  |  MATHEMATICS DEPARTMENT

4

MAGNETOHYDRODYNAMIC UNSTEADY FREE CONVECTION FLOW PAST VERTICAL POROUS PLATES WITH SUCTION AND OSCILLATING BOUNDARIES

ABSTRACT In this dissertation, the problems of Magnetohydrodynamic unsteady free convection flow past vertical porous plates with suction and oscillating boundaries are studied. The linear and nonlinear partial differential equations governing the flow problems and boundary conditions were transformed into dimensionless form, and the perturbation techniques applied in getting analytical solutions ... Continue Reading »

Item Type & Format: Project Material - Ms Word |  46 pages |  Instant Download  |  Chapter 1-5  |  MATHEMATICS DEPARTMENT

5

MATRIX AND ITS APPLICATIONS

CHAPTER ONE INTRODUCTION AND LITERATURE REVIEW 1.1 BACKGROUND OF THE STUDY The introduction and development of the notion of a matrix and the subject of linear algebra followed the development of determinants, which arose from the study of coefficients of systems of linear equations. Leibnitz, one of the founder of calculus, used determinant in 1963 and Cramer presented his determinant based formu... Continue Reading »

Item Type & Format: Project Material - Ms Word |  49 pages |  Instant Download  |  Chapter 1-5  |  MATHEMATICS DEPARTMENT

6

IMAGES OF MATHEMATICS STAKEHOLDERS IN TEACHING AND LEARNING MATHEMATICS AT SECONDARY SCHOOLS IN SOKOTO STATE

ABSTRACT The study was conducted for images of mathematics stakeholders in teaching and learning mathematics at secondary schools. For the purpose of the study, the research employs various data collection techniques that includes questionnaire conducted on nineteen (19) mathematics teachers, nineteen (19) parents and two hundred and seventeen (217) students of secondary schools. Teachers, student... Continue Reading »

Item Type & Format: Project Material - Ms Word |  75 pages |  Instant Download  |  Chapter 1-5  |  MATHEMATICS DEPARTMENT

7

APPROXIMATE ANALYTICAL SOLUTION OF NATURAL CONVECTION FLOW WITH VISCOUS DISSIPATION AND VARIABLE VISCOSITY EFFECTS

CHAPTER ONE GENERAL INTRODUCTION 1.1 Introduction As humans our entire living from the very beginning through to the end is surrounded and facilitated by fluids; the very beginning being in the amniotic fluid (a mixture of liquids and gases). Coupled with this is the fact that these fluids are responsive to variations in temperature (heating and cooling) which in turn affects the normal functionin... Continue Reading »

Item Type & Format: Project Material - Ms Word |  100 pages |  Instant Download  |  Chapter 1-5  |  MATHEMATICS DEPARTMENT

8

DEVELOPMENT OF AN OPTIMIZED PRIORITY BASED CPU SCHEDULING ALGORITHM TO MINIMIZE STARVATION OF PROCESSES USING AN EFFICIENCY FACTOR

ABSTRACT The priority based CPU scheduling algorithm (i.e. Shortest Job First (SJF) or Priority Scheduling (PS)) is a kind of scheduling algorithm that assigns the CPU to processes based on the priority of each process. The shortcoming of both of these algorithms is starvation (i.e. starvation of processes with longer burst times in the case of SJF and starvation of processes with lower priorities... Continue Reading »

Item Type & Format: Project Material - Ms Word |  112 pages |  Instant Download  |  Chapter 1-5  |  MATHEMATICS DEPARTMENT

9

COMPARISON OF SPURIOUS CORRELATION METHODS USING PROBABILITY DISTRIBUTOINS AND PROPORTION OF REJECTING A TRUE NULL HYPOTHESIS

ABSRACT The problem of spurious correlation analysis, e.g. Pearson moment product correlation test is that, the data need to be normally distributed. This research work compares spurious correlation methods using some non normal probability distributions in order to obtain the method with the best degree of association among them. The methods were compared using proportions of rejecting true null ... Continue Reading »

Item Type & Format: Project Material - Ms Word |  77 pages |  Instant Download  |  Chapter 1-5  |  MATHEMATICS DEPARTMENT

10

EVALUATION OF RELIABILITY AND AVAILABILITY CHARACTERISTICS OF TWO DIFFERENT SYSTEMS USING LINEAR FIRST ORDER DIFFERENTIAL EQUATION

ABSTRACT This study deals with the reliability and availability characteristics of two different systems, the second system differs from the first system due to the additional feature of preventive maintenance. Reliability and Availability analysis of system having one active unit and one warm stand by unit with self reset function and one maintenance facility. The failure unit is repaired through... Continue Reading »

Item Type & Format: Project Material - Ms Word |  61 pages |  Instant Download  |  Chapter 1-5  |  MATHEMATICS DEPARTMENT

11

A STUDY OF COMMON FIXED POINT APPROXIMATIONS FOR FINITE FAMILIES OF TOTAL ASYMPTOTICALLY NON EXPANSIVE SEMI GROUP IN HYPERBOLIC SPACES

ABSTRACT In this dissertation, a multi step iterative scheme was used to establish the strong and convergence theorems for ﬁnite families of uniformly asymp totic regular, total asymptotically nonexpansive semigroup in a uniformly convex hyperbolic space. We also used a diﬀerent method of proof, to es tablish the polar and convergence theorems for ﬁnite families of uniformly asymptotic regul... Continue Reading »

Item Type & Format: Project Material - Ms Word |  52 pages |  Instant Download  |  Chapter 1-5  |  MATHEMATICS DEPARTMENT

12

ASSESSING THE EFFECT OF GOOD KNOWLEDGE OF MATHEMATICS ON STUDENTS PERFORMANCE IN PHYSICS

CHAPTER ONE INTRODUCTION 1.1 Background of the Study Science has been regarded as the bed rock on which modern day technological breakthrough is built. Nowadays countries all over the world especially the developing ones like Nigeria, are striving hard to develop technologically and scientifically, since the world is turning scientific and all proper functioning of lives depend greatly on science.... Continue Reading »

Item Type & Format: Project Material - Ms Word |  52 pages |  Instant Download  |  Chapter 1-5  |  MATHEMATICS DEPARTMENT

13

A STUDY OF MFUZZY SUBGROUPS AND ITS LEVEL SUBGROUPS

CHAPTER ONE INTRODUCTION 1.1 Background to the Study The fundamental concept of fuzzy sets was introduced by Zadeh in 1965 to represents information possessing non statistical uncertainties. The fuzzy algebraic structures play a prominent role in mathematics with wide applications in many other branches such as theoretical physics, computer science, control engineering, information science, coding... Continue Reading »

Item Type & Format: Project Material - Ms Word |  52 pages |  Instant Download  |  Chapter 1-5  |  MATHEMATICS DEPARTMENT

14

THE COMPARISON OF GAUSSIAN ELIMINATION AND CHOLESKY DECOMPOSITION METHODS TO LINEAR SYSTEM OF EQUATIONS.

CHAPTER ONE LINEAR SYSTEM OF EQUATIONS INTRODUCTION A wide variety of problems lead ultimately to the need to solve a linear system of equation linear system of equations are associated with many problems in engineering and science as well as with applications of mathematics to the social sciences and the quantitative study of business and economic problems. In 1985, according to Atkinson, system ... Continue Reading »

Item Type & Format: Project Material - Ms Word |  82 pages |  Instant Download  |  Chapter 1-5  |  MATHEMATICS DEPARTMENT

15

THE RELEVANCE OF THE USE OF METHOD OF UNDETERMINE COEFFICIENTS FOR SOLVING DIFFERENTIAL EQUATIONS

CHAPTER ONE 1.0 INTRODUCTION 1.1 BACKGROUND OF STUDY The method of undetermined coefficient has been used as a tool for solving a particular non homogeneous differential equation. One of the main advantages of this method is that it reduces the problem down to an algebra problem. The algebra can get messy on occasion, but for most of the problems it will not be terribly difficult. Another nice thi... Continue Reading »

Item Type & Format: Project Material - Ms Word |  33 pages |  Instant Download  |  Chapter 1-5  |  MATHEMATICS DEPARTMENT

16

A STUDY OF THE PREVALENCE OF HIV/AIDS USING CANONICAL CORRELATION ANALYSIS (A CASE STUDY OF GENERAL HOSPITAL MINNA)

ABSTRACTThis research aimed at fitting canonical correlation model that is capable of determining whether literacy level, age, marital status and gender are risk factors for HIV/AIDs. The data used is obtained from Heart to Heart center situated in General Hospital Minna, Niger State in June 2013. The Statistical package used to analyze the data is NCSS (Number Cruncher Statistical System) 2007 pa... Continue Reading »

Item Type & Format: Project Material - Ms Word |  52 pages |  Instant Download  |  Chapter 1-5  |  MATHEMATICS DEPARTMENT

17

MATHEMATICAL MODEL OF CEREBROSPINAL MENINGITIS IN OBUASI MUNICIPALITY OF ASHANTI REGION, GHANA

ABSTRACT Meningococcal disease is a serious health threat in the human body which begins rapidly with a relative high case fatality rate particularly in the absence of treatment and thus is a priority when it comes to prevention. Delayed treatment can lead to death or invasive meningococcal disease which causes complications such as neurologic disorder, loss of limbs, hearing loss and paralysis ev... Continue Reading »

Item Type & Format: Project Material - Ms Word |  52 pages |  Instant Download  |  Chapter 1-5  |  MATHEMATICS DEPARTMENT

18

STUDYING DIFFERENT NUMERICAL METHODS IN SOLVING FIRST ORDER DIFFERENTIAL EQUATIONS

CHAPTER ONE 1.0 INTRODUCTION 1.1 BACKGROUND OF STUDY Differential equations can describe nearly all systems undergoing change. They are ubiquitous is science and engineering as well as economics, social science, biology, business, health care, etc. Many mathematicians have studied the nature of these equations for hundreds of years and there are many well developed solution techniques. Often, syst... Continue Reading »

Item Type & Format: Project Material - Ms Word |  62 pages |  Instant Download  |  Chapter 1-5  |  MATHEMATICS DEPARTMENT

19

EFFECT OF INFORMATION AND COMMUNICATION TECHNOLOGY (ICT) ON PUPILS’ ACADEMIC ACHIEVEMENT IN MATHEMATICS IN EKET LOCAL GOVERNMENT AREA OF AKWA IBOM S...

ABSTRACT This study examined Effect of Information and Communication Technology (ICT) on Pupils’ Academic Achievement in Mathematics in Eket Local Government Area of Akwa Ibom State. The design of the study was experimental design. The sample consisted of one hundred and twenty two (122) primary schools Pupils in Eket Local Government Area of Akwa Ibom State. Three research questions and thr... Continue Reading »

Item Type & Format: Project Material - Ms Word |  52 pages |  Instant Download  |  Chapter 1-5  |  MATHEMATICS DEPARTMENT

20

SOLUTION OF FIRST ORDER DIFFERENTIAL EQUATION USING NUMERICAL NEWTON’S INTERPOLATION AND LAGRANGE

CHAPTER ONE 1.0 INTRODUCTION 1.1 BACKGROUND OF STUDY Differential equation is one of the major areas in mathematics with series of method and solutions. A differential equation as for example u(x) = Cos(x) for 0 <x< 3 is written as an equation involving some derivative of an unknown function u (E.W Weisstein, 2004). There is also a domain of the differential equation (for the example 0 <x... Continue Reading »

Item Type & Format: Project Material - Ms Word |  31 pages |  Instant Download  |  Chapter 1-5  |  MATHEMATICS DEPARTMENT

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