Browsing Magister Scientiae - MSc (Mathematics and Applied Mathematics) by Author "Dept. of Mathematics"
Now showing items 1-15 of 15
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Construction and analysis of efficient numerical methods to solve mathematical models of TB and HIV co-infection
Ahmed, Hasim Abdalla Obaid (University of the Western Cape, 2011)The global impact of the converging dual epidemics of tuberculosis (TB) and human immunodeficiency virus (HIV) is one of the major public health challenges of our time, because in many countries, human immunodeficiency ... -
Investigating an integrated teaching methodology as a means to prepare students for university studies in mathematics
Ceasar, Reginald Raymon (University of the Western Cape, 2005)A key issue for the success of students entering a first year mathematics course at tertiary level is whether or not they have an integrated understanding and view of the mathematical concepts acquired at school. Various ... -
Mathematical modeling of an epidemic under vaccination in two interacting populations
Ahmed, Ibrahim H.I. (University of the Western Cape, 2011)In this dissertation we present the quantitative response of an epidemic of the so-called SIR-type, in a population consisting of a local component and a migrant component. Each component can be divided into three classes, ... -
A mathematical modeling of optimal vaccination strategies in epidemiology
Nemaranzhe, Lutendo (University of the Western Cape, 2010)We review a number of compartmental models in epidemiology which leads to a nonlinear system of ordinary differential equations. We focus an SIR, SEIR and SIS epidemic models with and without vaccination. A threshold ... -
A model for managing pension funds with benchmarking in an inflationary market
Nsuami, Mozart (University of the Western Cape, 2011)Aggressive fiscal and monetary policies by governments of countries and central banks in developed markets could somehow push inflation to some very high level in the long run. Due to the decreasing of pension fund benefits ... -
A model of pension portfolios with salary and surplus process
Mtemeri, Nyika (University of the Western Cape, 2010)Essentially this project report is a discussion of mathematical modelling in pension funds, presenting sections from Cairns, A.J.D., Blake, D., Dowd, K., Stochastic lifestyling: Optimal dynamic asset allocation for defined ... -
The non-cancellation groups of certain groups which are split extensions of a finite abelian group by a finite rank free abelian group
Mkiva, Soga Loyiso Tiyo (University of the Western Cape, 2008)The groups we consider in this study belong to the class X0 of all nitely generated groups with nite commutator subgroups. We shall eventually narrow down to the groups of the form T owZn for some n 2 N and some nite ... -
Numerical methods for the valuation of financial derivatives
Ntwiga, Davis Bundi (University of the Western Cape, 2005)Numerical methods form an important part of the pricing of financial derivatives and especially in cases where there is no closed form analytical formula. We begin our work with an introduction of the mathematical tools ... -
Numerical Treatment of Non-Linear singular pertubation problems
Shikongo, Albert (University of the Western Cape, 2007)This thesis deals with the design and implementation of some novel numerical methods for non-linear singular pertubations problems (NSPPs). It provide a survey of asymptotic and numerical methods for some NSPPs in the past ... -
Pairings of Binary reflexive relational structures
Chishwashwa, Nyumbu (University of the Western Cape, 2008)The main purpose of this thesis is to study the interplay between relational structures and topology , and to portray pairings in terms of some finite poset models and order preserving maps. We show the interrelations ... -
Pricing American style employee stock options having GARCH effects
Arotiba, Gbenga Joseph (University of the Western Cape, 2010)We investigate some simulation-based approaches for the valuing of the employee stock options. The mathematical models that deal with valuation of such options include the work of Jennergren and Naeslund [L.P Jennergren ... -
Robust computational methods for two-parameter singular perturbation problems
Elago, David (University of the Western Cape, 2010)This thesis is concerned with singularly perturbed two-parameter problems. We study a tted nite difference method as applied on two different meshes namely a piecewise mesh (of Shishkin type) and a graded mesh (of Bakhvalov ... -
Strong simplicity of groups and vertex - transitive graphs
Fadhal, Emad Alden Sir Alkhatim Abraham (University of the Western Cape, 2010)In the course of exploring various symmetries of vertex-transitive graphs, we introduce the concept of quasi-normal subgroups in groups. This is done since the symmetries of vertex-transitive graphs are intimately linked ... -
A survey of the computer enhanced services of the Outreach Project of UWC developed for grade 12 mathematic learners and a critical appraisal of the MICSEC2000 program.
Isaacs, Brian Ernest Leonard (University of the Western Cape, 2005)The Outreach Project of the University of the Western Cape has since 1982 through various computer supported services been assisting grade 12 mathematics learners and educators at previously disadvantaged Western Cape high ... -
Transport modelling in the Cape Town Metropolitan Area
Munyakazi, Justin Bazimaziki (University of the Western Cape, 2005)The use of MEPLAN by the Metropolitan Transport Planning Branch of the Cape Town City Council since 1984 was not successful due to apartheid anomalies. EMME/2 was then introduced in 1991 in replacement of MEPLAN. In this ...