Mathematics Research Papers/Topics

Mathematical Model on Glucose, Insulin and Β-Cells Mass Dynamics in Type 2 Diabetes

ABSTRACT A mathematical model, describing glucose, insulin and β-cells mass dynamics of a type 2 diabetic patient was developed in the form of a system of ordinary differential equation, considering insulin resistance, the body inability to overcome the resistance and the fact that glucose production from food intake is not constant. Numerical solution of the model using RungeKutta code in MATLAB, graphically shows rise in blood glucose concentration and further decline over time in glucose ...

Boundary Value Problems for Quasilinear Second Order Differential Equations

Abstract This project is concerned with the review of some boundary value problems for nonlinear ordinary differential equations using topological and variational methods. A more classical boundary value problems for ordinary differential equations (like the boundary value problems on a ball, initial value problems, problems on annular domains and positone problems) which represent the main interest of a wide number of researchers in the world is studied. Contents Certification ii Dedication ...

Mathematical Modeling and Control of a No - Isothermal Continuous Stirred Tank Reactor, Cstr

ABSTRACT Mathematical Models describing the variations in the volume of the system, concentration of reactant (s) yet to react, temperature of the system, and the temperature of the cooling jacket over time in a non-isothermal CSTR that handles a simple, irreversible, first order or second order exothermic reaction in liquid phase were formulated. This work is with a particular reference to the synthesis of propylene from cyclopropane and that of cumene (isopropyl benzene) from benzene and pr...

Mathematical Model on a Three Way Catalytic Converter: A Comparative Study of Gas Phase Concentration and Temperature.

ABSTRACT We comparatively studied gas phase concentration and gas temperature of three way catalytic converter models. We considered channel level models and provided concise solutions for them. Solutions to the models were graphically represented and we found that gas phase temperature increases with time and gas phase concentration of gaseous species attain light-off at temperature above 600K. TABLEOFCONTENTS Title page………………………………………………………………...

Pagano's theorem (short proof of generalized cauchy residue theorem)

shortly we can derive the Cauchy's residue theorem (its general form) just by direct integration of a Taylor series placing an open curve onto a specific domain, in order to satisfy holomorphic properties

Stationary Analysis of the M/M/1 Queuing System with Two Customer Subgroups

Abstract A single server Markovian queuing system called the M/M/1 queuing system with two distinct customer types namely; the constraint customer type and the un-constraint customer type is studied. This model is that of a production system with heterogeneous customer structures devoid of a single customer in the intersection category group wise. Initially, relevant literature covering methodologies, analysis and results derived for single server production systems are reviewed and a gap ide...

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ABSTRACT The integration of Information Communication Technology (ICT) into educational practice continues to be lauded as having the potential to dramatically transfonn the teaching and learning process. This qualitative study sought to explore teachers’~ perceptions of the contribution of ICT integration to the teaching and learning of Modern Studies at a single~gender urban secondary school (St. Peters’ College Tororo). Four teachers, purposefully selected, were interviewed during the ...

TEACHERS’ PERCEPTIONS OF THE CONTRIBUTION OF INFORMATION AND COMMUNICATION TECHNOLOGY TO THE TEACHING OF MODERN STUDIES, USING AN INTEGRATED SYSTEM, A CASE STUDY OF AN URBAN SECONDARY SCHOOL

ABSTRACT The integration of Information Communication Technology (ICT) into educational practice continues to be lauded as having the potential to dramatically transfonn the teaching and learning process. This qualitative study sought to explore teachers’~ perceptions of the contribution of ICT integration to the teaching and learning of Modern Studies at a single~gender urban secondary school (St. Peters’ College Tororo). Four teachers, purposefully selected, were interviewed during the ...

Pagano's high power partial fraction decomposition theorem

The problem of fraction decomposition it's easy to solve by using the cover up method, when there are no repeated linear factors in the denominator . Nevertheless it could turn into a hard work if these factors are raised to a high power, where the cover up method doesn't work . This technique shows how to calculate these coefficients without solving large systems of equations with a clever rearrangement of the numerator.

Design and Implementation of a Poultry Farm Database Management System. (A Case Study of Chicken -Run Poultry Farm)

CHAPTER 1 Poultry Farming is the commercial raising of chickens, fowl, turkeys, geese, and ducks for their meat and eggs. The birds are kept intensively in a confined area where they are fed and managed carefully. Their economic significance varies considerably around the world. Poultry farming m Nigeria is a very economically and commercially viable business due to the fact that poultry birds do not jusl serve as meat, but also produce eggs for human consumption and other purposes. Al most ...

Determination of The Number of Non-Abelian Isomorphic Types of Certain Finite Groups

Abstract The first part of this work established, with examples, the fact that there are more than one non-abelian isomorphic types of groups of order n = sp, (s,p) = 1, where s1 was worked out and such groups have no non-abelian isomorphic types. This gave credence to the fact that a group of order 15 and its like do not have a non-abelian isomorphic type. It also generated the non-abelian isomorphic types of groups of order n = spq, where s, p and q are distinct primes considering the cong...

Computerization of Personnel Information Management System. (A Case Study of Alvan Ikoku College of Education Owerri) A Research Project Presented

ABSTRACT  This project is based on the computerization of the Personnel Information Management System. Before the advent of the Computer, the personnel information management system was manual. This presented a lot of disadvantages which include, misplacement of records, loss of documents, delayed work etc. This project highlights the design and implementation of a Computerized personnel information management system, which will handle all related information of every staff in all department...

Computerised Frequency Distribution System (A Case Study of the Disabled)

ABSTRACT Since the idea of computer Technology came into existence a lot of things have taken different shapes in the world which is now a global village. Among these changes is the area of using computer in making our job easier with the aid of electronic devices by finding easier solutions to om problems. This is applied in almost, if not all areas of human endeavor, the statistical analysis not being overlooked. In the course of this project research we looked extensively into statistical...

Computerisation of The Operations of Church and School Supplies (Css) Bookshops

ABSTRACT Computerization of the operations of the Church and School Supplies (CSS) Bookshops was designed and implemented using Microsoft Access® 2000. The main aim is to improve the efficiency of Data Management and enhance Business Operations through the utilization of computer technology. This study identified and evaluated the application needs of Church and School Supplies (CSS) Bookshops operations and subsequently automated these operations. The Data Model used in this study is the R...

Computerization of Stock and Sales Operations (A Case Study of Abuja Capital Motors Nigeria Limited)

CHAPTER ONE 1.1   INTRODUCTION 1.2   Both the private and government sectors nowadays lay emphasis on strategic planning, balancing of records control and rapid response to a development problems. The result is a constant demand for better and more timely information. The need for efficient planning and controlling cannot be over-emphasized. This implies to. - a good system of management. This is especially true in the area of keeping accurate records of clients (customers) of an organi...


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