Mathematics Research Papers/Topics

On Application of Mathematical Modeling in the Spread of HIV/AIDS Epidemic

Mathematical models here serve as tools for understanding the epidemiology of Human Immunodeficiency Virus (HIV) and Acquired Immunodeficiency Syndrome (AIDS) if they are carefully constructed. The research emphasis is on the epidemiological impacts of AIDS and the rate of spread of HIV/AIDS in any given population through the numericalization of the Basic reproductive rate of infection (R0). Applicable Deterministic models, Classic Endemic Model (SIR), Commercial Sex Workers (CSW) model, Dyn...

Dynamic Buckling of a Clamped Finite Column Resting on a Non – linear Elastic Foundation

The analysis of the dynamic buckling of a clamped finite imperfect viscously damped column lying on a quadratic-cubic elastic foundation using the methods of asymptotic and perturbation technique is presented. The proposed governing equation contains two small independent parameters (δ and ϵ) which are used in asymptotic expansions of the relevant variables. The results of the analysis show that the dynamic buckling load of column decreases with its imperfections as well as with the increas...

THE ADAMS-BASHFORTH ITERATIVE SCHEME FOR INITIAL VALUE PROBLEMS

ABSTRACT 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                                                                 �...

Application of Unbounded Hilbert Linear Operations in Quantum Mechanics

 research work presents an important Banach Space in functional analysis which is known and called Hilbert space. We verified the crucial operations in this space and their applications in physics particularly in quantum mechanics. The operations are restricted to the unbounded linear operators densely defined in Hilbert space which is the case of prime interest in physics, precisely in quantum machines. Precisely, we discuss the role of unbounded linear operators in quantum mechanics partic...

The Implicit Midpoint Rule of Non-expansive Mappings and Applications in Uniformly Smooth Banach Space

Let K be a nonempty closed convex subset of a Banach space E and T : K → K be a nonexpansive mapping. Using a viscosity approximation method, we study the implicit midpoint rule of a nonexpansive mapping T. We establish a strong convergence theorem for an iterative algorithm in the framework of uniformly smooth Banach spaces and apply our result to obtain the solutions of an accretive mapping and a variational inequality problem. The numerical example which compares the rates of convergence...

It is Time to Move Research Expenditures to the Denominator in University Metrics

An unintended consequence of using “research expenditures” as a figure of merit for universities is to reduce the research output per dollar invested by discouraging the diffusion of superior, lower-cost, open-source scientific equipment.

Ordinary Differential Equation Alternate Solution (Co-efficient not Limited to Polynomial)

The laws of Physics and some other related courses are generally written as differential equations. Therefore, all of science and engineering use differential equations to some extent. A good knowledge of differential equations will be an integral part of your study in science and/or engineering classes. You can think of mathematics as the language of science, and differential equations are one of the most important parts of this language as far as science and engineering are concerned. De...

Trigonometry

Trigonometry (from Greek trigōnon, "triangle" and metron, "measure"[1]) is a branch of mathematics that studies relationships involving lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.[2] The 3rd-century astronomers first noted that the lengths of the sides of a right-angle triangle and the angles between those sides have fixed relationships: that is, if at least th...

SPECTRAL METHOD SOLUTION OF VOLTERRA INTEGRAL EQUATIONS VIA THIRD KIND CHEBYSHEV

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 1.5.1 Chebyshev polynomial of the first kind Tr(x) . . . . . 6 1.5.2 Chebyshev polynomial of second kind Ur(x) . . . . . 6 1.5.3 Chebyshev polynomials...

Systematic study of z transform and its analysis on Discrete Time Systems

                    ABSTRACT 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 equation. CHAPTER 1                                                   �...

The relationships between students’ attitude towards mathematics and their performance in mathematics

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 development all over. Taking into cognizance, the usefulness, relevance and importance of mathematics, like bringing positive changes to the scient...

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 2 1.1 Partitions and Riemann sums . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.1.1 Definition  (Partition P of size > 0) . . . . . . . . . . . . . . . . . . . . 2 1.1.2 Definition (Selection of evaluations points zi) . . . . . . . . . . . . . . . . 2 1.1.3 Definition (Riemann sum for the function f(x)) . . . . . . . . . . . . . . 2 1.1.4 Definition (Integrability of the function f(x)) . . . . . . . . . . . . . . . 2 1.1.5 Definition (Notation for integrab...


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