Research Papers/Topics in Mathematics

FORMULATION OF HAMILTONIAN MECHANICS

Research Thesis on Formulation of HAMILTONIAN MECHANICS reconciliation of Classical Mechanics (Langrangian) with Quantum Mechanics (Hamiltonian), smaller infinitesimal particles Einstein's Mechanics.Addendum, Canonical Transformation, Principle of Virtual Work, Harmonic Oscillator and Lemma on Mathematical Method ascertained by PROF. J.C AMAZIGO DEPARTMENT OF MATHEMATICS UNIVERSITY OF NIGERIA NSUKKA.

The Effect of Anxiety on Performance of Students in Mathematics: A Case Study of Adeniran Ogunsanya College of Education, Lagos State, Nigeria

This research work ‘’THE EFFECT OF ANXIETY ON PERFORMANCE OF STUDENTS IN MATHEMATICS’’ focuses on the relationship between Mathematics anxiety and students performance. A descriptive experimental research design was used to investigate the research questions. The population consisted of 120 pre-service teachers at Adeniran Ogunsanya College of Education, Ojo Local Government, Lagos State. A personal data questionnaire was used to gather demographic and anxiety information about the pa...

GROUP 3 RIEMANN NTEGRATION ON R^n

1 Riemann Integration 21.1 Partitions and Riemann sums . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21.1.1 Definition  (Partition P of size  > 0) . . . . . . . . . . . . . . . . . . . . 21.1.2 Definition (Selection of evaluations points zi) . . . . . . . . . . . . . . . . 21.1.3 De finition (Riemann sum for the function f(x)) . . . . . . . . . . . . . . 21.1.4 Defi nition (Integrability of the function f(x)) . . . . . . . . . . . . . . . 21.1.5 De finition (Notation for integrab...

Arithmetic of Analysis (Supremum and Infimum)

I can still remember my expression and feeling when we were asked to show that sup(A + B) = sup(A) + sup(B). It was an herculean task because the concept was too difficult to grasp with the use of approximation property until I discovered an easy route. In a bid to restrict my papers to just few pages, I will focus more on examples than theorems.

A Survey of Linear Programming Concepts

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        &nb...

TIME SERIES ANALYSIS ON SOME SELECTED NON OIL PRODUCE IN NIGERIA (A CASE STUDY OF CASH CROPS & LIVESTOCK)

ABSTRACT           In the period of the 1970’s, Agriculture was the main stay of the Nigeria economy. The oil boom of 1970’s brought about a gradual shift from agriculture to crude oil making Nigeria to depend heavily on petroleum as main source of foreign exchange earnings. Agriculture sector which use to be the back bone of the economy was rendered competitive over time. The crux of this study is to analyze the revenue generated from selected non-oil produce in Nig...

Credit Risk Models

In Financial Institutions such as banks and other firms, we face financial risk whichemanates from different source. Credit Risk as one of the prominent risk, had beenfound to reduce the efficiency of banks and other financial firms, hence, the researchto model the risk .In this project, several models used to evaluate credit risk, including their drawbacks,frame works and strengths are reviewed.

APPLICATION OF NUMERICAL ANALYSIS TO ALGEBRAIC AND TRANSCENDENTAL EQUATIONS

ABSTRACTIn 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 compared. The bisection, Regular Falsi, Newton-Raphson and secant method were applied to a single variable function over the interval [0,1]. Numerical ...

SYSTEMATIC APPROACH OF RESEARCH METHODOLOGY

In this work, we try to analyse the approach of writing a highly reputable published researched work. The concept of research is discussed which includes some technical definitions of research. To further the discussion,  we explain the five main important components of research approach processes which include : introductory part, literature review, methods of analysis,  main result,  discussion,  conclusion, recommendation and finally the references. Dr. Ekaka-a Enu-Obari N (2018) defi...

Breakthrough on Lp spaces

In this section we discuss an important construction, which is extremely useful in virtually all branches of Analysis. In Section 1, we have already introduced the space L1. The rst construction deals with a generalization of this space.

THE ROLE OF INCUBATION PERIOD IN A DISEASE MODEL WITH LOGISTIC AND LINEAR RECRUITMENT RATES

In this research work, we have reviewed and studied two disease models: a disease model with logistic recruitment rate with and without incubation period and a disease model with linear recruitment rate with and without incubation period.  The existence and stability or otherwise of the equilibrium states of the models were studied; also numerical experiments were conducted using a written computer program in MATLAB function ode45; for which table of parameter values were generated us...

Properties of Operations on Soft Ideals and Idealistic Soft Ring

Abstract: Soft set theory initiated by Molodtsov is an important mathematical tool that deals with uncertainties about imprecision and vagueness. Research on soft ideals of ring has been carried out by other researchers. In this paper, we discuss on some properties of soft ring ideals and idealistic soft ring. We state and prove some important theorems and propositions on soft ring ideals and idealistic of soft ring that has not been studied by other researchers.

Differential Forms: A Tool for Linearizing Second Order Ordinary Differential Equations

Abstract: In this paper, we presented the differential forms method which is used in the linearization of second order non-linear differential equations. The differential forms used here is limited to 2-forms with their respective operations. After presentation of the method, an example is used to illustrate the procedure of the linearization problem. Keywords Linearization, Differential forms, Differential Equations, Second Order

A Study of the Fundamentals of Fuzzy Set

AbstractThe 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 of sciences, it seems that fuzzy sets were bound to appear at some point in the 20th century. Indeed, Zadeh's works have cristalized and popularized...


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