Browsing Magister Scientiae  MSc (Mathematics and Applied Mathematics) by Title
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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 ... 
Analysis and Implementation of a Positivity Preserving Numerical Method for an HIV model
(University of the Western Cape, 2007)This thesis deals with analysis and implementation of a positivity preserving numerical method for a vaccination model for the transmission dynamics of two HIV subtypes in a given community. The continuous model is analyzed ... 
Analysis and simulation of nonlinear option pricing problems
(University of Western Cape, 2021)We present the BlackScholes Merton partial differential equation (BSMPDE) and its analytical solution. We present the BlackScholes option pricing model and list some limitations of this model. We also present a nonlinear ... 
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 velements such that every pair of the elements of the set is contained in exactly one 3subset. In this study, we discuss some ... 
The Birch and SwinnertonDyer Conjecture for elliptic curves.
(University of the Western Cape, 2014)The aim of this dissertation is to provide an exposition of the Birch and SwinnertonDyer Conjecture, considered by many to be one of the most important unsolved problems in modern Mathematics. A review of topics in Algebraic ... 
Block Toeplitz operators with rational symbols and discrete singular systems
(University of the Western Cape, 2001)This thesis concerns block Toeplitz operators (equations). Consider the block Toeplitz operator T = [<I> kj ]k,j=O' where the <I>k are complex m x m matrices such that 00 (0.1) v=oo The norm in (0.1) is the usual ... 
Boundedness and pseudocompactness in pointfree topology
(University of Western Cape, 2019)This dissertation is a presentation to generalize boundedness and pseudocompactness in pointfree topology. We rst obtain and introduce a boundedness notion for elements of a frame. This is then further inspiration to ... 
A categorical study of persistent homology for closure space
(University of the Western Cape, 2023)We begin with the concept of closure space and show how it relates to other objects like graphs and metric spaces in categorical terms. We also study the notion of simplicial sets and show that there is an adjunction between ... 
Character tables of some groups of extension type
(University of the Western Cape, 2002)The main aim of this minithesis is to give a description of some of the basic methods and techniques that have been developed to calculate the character tables of groups of extension type. We restrict our attention to ... 
Character Tables Of Some Groups of Extension Type
(University of the Western Cape, 2002)The main aim of this minithesis is to give a description of some of the basic methods and techniques that have been developed to calculate the character tables of groups of extension type. We restrict our attention to ... 
Character tables of some selected groups of extension type using FischerClifford matrices
(University of the Western Cape, 2015)The aim of this dissertation is to calculate character tables of group extensions. There are several well developed methods for calculating the character tables of some selected group extensions. The method we study in ... 
Codes Related to and Derived from Hamming Graphs
(University of the Western Cape, 2013)Codes Related to and Derived from Hamming Graphs T.R Muthivhi M.Sc thesis, Department of Mathematics, University of Western Cape For integers n; k 1; and k n; the graph k n has vertices the 2n vectors of Fn2 and ... 
Codes Related to and Derived from Hamming Graphs
(University of the Western Cape, 2013)For integers n, k 2:: 1, and k ~ n, the graph r~has vertices the 2n vectors of lF2 and adjacency defined by two vectors being adjacent if they differ in k coordinate positions. In particular, r~is the classical ncube, ... 
Codes, graphs and designs related to iterated line graphs of complete graphs
(University of the Western Cape, 2011)In this thesis, we describe linear codes over prime fields obtained from incidence designs of iterated line graphs of complete graphs Li(Kn) where i = 1,2. In the binary case, results are extended to codes from ... 
Computation of the character tables of certain group extensions
(University of the Western Cape, 1997)The work done in this minithesis deals mainly with different methods of calculating character tables of split extensions of finite groups. Three of the six character tables that are calculated are done with the use of ... 
Computation of the character tables of certain group extensions
(University of the Western Cape, 1997)In this chapter some basic theory on group extensions is first given in section 1.1 and then a method for finding the conjugacy classes of group extensions is described in section i.2. In section 1.3 we look at an example ... 
Computing Mislin genera of certain groups with nonabelian torsion radicals
(University of the Western Cape, 2004)In this minithesis we present some generalities of noncancellation and localization and we compute noncancellation groups. We consider groups belonging to the class X0 of all finitely generated groups that have finite ... 
Conjugacy classes of some projective linear groups
(University of the Western Cape, 1992)Given a finite set X of distinct symbols the symmetric group Sx and the alternating group Ax are obtained without further constructions. More interesting groups are contrived, however, by imposing a certain structure on ... 
Conjugacy classes of some projective linear groups
(University of the Western Cape, 1992)Given a finite set X of distinct symbols the symmetric group S* and the alternating group A* are obtained without further constructions. More interesting groups are contrived, however, by imposing a certain structure on ... 
Construction and analysis of efficient numerical methods to solve mathematical models of TB and HIV coinfection
(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 ...