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Automorphism groups of some designs of steiner triple systems and the atomorphism groups of their block intersection graphs
(University of the Western Cape, 2014)
A Steiner triple system of order v is a collection of subsets of size three
from a set of v-elements such that every pair of the elements of the set is
contained in exactly one 3-subset. In this study, we discuss some ...
Test of the overreaction hypothesis in the South African stock market
(University of the Western Cape, 2014)
This research undertakes to investigate both long-term and short-term investor overreaction on the JSE Limited (JSE) over the period from 1 January 2002 to 31 December 2009. The period covers the restructuring and reform ...
Investigating the difficulties of first year mainstream mathematics students at the University of the Western Cape with “related rates” problems
(University of the Western Cape, 2014)
The aim of the thesis is to research the difficulties that first year mainstream mathematics students at UWC experience when solving Related Rates problems in calculus. In chapter 2, an in-depth study was made of the nature ...
The Birch and Swinnerton-Dyer Conjecture for elliptic curves.
(University of the Western Cape, 2014)
The aim of this dissertation is to provide an exposition of the Birch and Swinnerton-Dyer Conjecture, considered by many to be one of the most important unsolved problems in modern Mathematics. A review of topics in Algebraic ...
Numerical techniques for optimal investment consumption models
(University of the Western Cape, 2014)
The problem of optimal investment has been extensively studied by numerous researchers in order to generalize the original framework. Those generalizations have been made in different directions and using different techniques. ...
On the design and implementation of a hybrid numerical method for singularly perturbed two-point boundary value problems
(University of the Western Cape, 2014)
With the development of technology seen in the last few decades, numerous solvers have been developed to provide adequate solutions to the problems that model different aspects of science and engineering. Quite often, these ...
Multilevel Monte Carlo simulation in options pricing
(University of the Western Cape, 2014)
In Monte Carlo path simulations, which are used extensively in computational -finance, one is interested in the expected value of a quantity which is a functional of the solution to a stochastic differential equation [M.B. ...
Discrete time methods of pricing Asian options
(University of Western Cape, 2014)
This dissertation studies the computation methods of pricing of Asian options. Asian options are options in which the underlying variable is the average price over a period of time. Because of this, Asian options have a ...
Mathematical modelling of the HIV/AIDS epidemic and the effect of public health education
(University of Western Cape, 2014)
HIV/AIDS is nowadays considered as the greatest public health disaster of modern time.
Its progression has challenged the global population for decades. Through mathematical
modelling, researchers have studied different ...
Mathematical modeling of population dynamics of HIV with antiretroviral treatment and herbal medicine
(University of Western Cape, 2014)
Herbal medicines have been an important part of health and wellness for hundreds of
years. Recently the World Health Organization estimated that 80% of people worldwide
rely on herbal medicines. Herbs contain many ...