Browsing Magister Scientiae  MSc (Mathematics and Applied Mathematics) by Issue Date
Now showing items 120 of 51

Transport modelling in the Cape Town Metropolitan Area
(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 ... 
Skills, training and support for carers in HIV/AIDS community homebased care: a case study of carers in Chikankata, Zambia
(University of the Western Cape, 2005)The high prevalence of HIV/AIDS in Zambia has led to the development of innovative ways of coping with sickness related to this infection. HIV/AIDS homebased care is one such innovation designed in Chikankata Hospital in ... 
Investigating an integrated teaching methodology as a means to prepare students for university studies in mathematics
(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 ... 
Numerical methods for the valuation of financial derivatives
(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 ... 
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.
(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 ... 
Numerical Treatment of NonLinear singular pertubation problems
(University of the Western Cape, 2007)This thesis deals with the design and implementation of some novel numerical methods for nonlinear singular pertubations problems (NSPPs). It provide a survey of asymptotic and numerical methods for some NSPPs in the past ... 
Analysis and implementation of a positivity preserving numerical method for an HIV model
(2007)This thesis deals with analysis and implementation of a positivity preserving numerical method for a vaccination model for the transmission dynamics of two HIVsubtypesnin a given community. The continuous model is analyzed ... 
Pairings of Binary reflexive relational structures
(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 ... 
The noncancellation groups of certain groups which are split extensions of a finite abelian group by a finite rank free abelian group
(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 ... 
Groupoids of homogeneous factorisations of graphs
(University of the Western Cape, 2009)This thesis is a study on the confluence of algebraic structures and graph theory. Its aim is to consider groupoids from factorisations of complete graphs. We are especially interested in the cases where the factors are ... 
Stochastic modelling in bank management and optimization of bank asset allocation
(2009)The Basel Committee published its proposals for a revised capital adequacy framework(the Basel II Capital Accord) in June 2006. One of the main objectives of this framework is to improve the incentives for stateoftheart ... 
Robust computational methods for twoparameter singular perturbation problems
(University of the Western Cape, 2010)This thesis is concerned with singularly perturbed twoparameter 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
(University of the Western Cape, 2010)In the course of exploring various symmetries of vertextransitive graphs, we introduce the concept of quasinormal subgroups in groups. This is done since the symmetries of vertextransitive graphs are intimately linked ... 
Mathematical models of credit management and credit derivatives
(2010)The first two chapters give the background, history and overview of the dissertation, together with the necessary mathematical preliminaries. Thereafter, the next four chapters deal with credit risk and credit derivatives.The ... 
Pricing American style employee stock options having GARCH effects
(University of the Western Cape, 2010)We investigate some simulationbased 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 ... 
A model of pension portfolios with salary and surplus process
(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 ... 
A mathematical modeling of optimal vaccination strategies in epidemiology
(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 ... 
Pricing methods for Asian options
(2010)We present various methods of pricing Asian options. The methods include Monte Carlo simulations designed using control and antithetic variates, numerical solution of partial differential equation and using lower bounds.The ... 
A mathematical modeling of optimal vaccination strategies in epidemiology
(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 ... 
Discrete and continuous time methods of optimization in pension fund management
(2010)Pensions are essentially the only source of income for many retired workers. It is thus critical that the pension fund manager chooses the right type of plan for his/her workers.Every pension scheme follows its own set of ...