Now showing items 1-20 of 88

  • Analysis and implementation of a positivity preserving numerical method for an HIV model 

    Wyngaardt, Jo-Anne (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 

    Wyngaardt, Jo-Anne (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 

    Tawe, Tarla Divine (University of Western Cape, 2021)
    We present the Black-Scholes Merton partial differential equation (BSMPDE) and its analytical solution. We present the Black-Scholes 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 

    Vodah, Sunday (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 ...
  • The Birch and Swinnerton-Dyer Conjecture for elliptic curves. 

    Smith, Duncan (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 ...
  • Block Toeplitz operators with rational symbols and discrete singular systems 

    Konegerie, Abraham (University of the Western Cape, 2001)
    This thesis concerns block Toeplitz operators (equations). Consider the block Toeplitz operator T = [<I> k-j ]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 

    Alderaz, Fatma Hussien Shbani (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 ...
  • Character tables of some groups of extension type 

    Prins, Abraham L. (University of the Western Cape, 2002)
    The main aim of this mini-thesis 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 

    Prins, Abraham Love (University of the Western Cape, 2002)
    The main aim of this mini-thesis 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 Fischer-Clifford matrices 

    Monaledi, R.L. (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 

    Muthivhi, Thifhelimbilu Ronald (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 

    Muthivhi, Thifhelimbilu Ronald (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 n-cube, ...
  • Codes, graphs and designs related to iterated line graphs of complete graphs 

    Kumwenda, Khumbo (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 

    James, C. (University of the Western Cape, 1997)
    The work done in this mini-thesis 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 

    James, C (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 non-abelian torsion radicals 

    Hess, Victor George (University of the Western Cape, 2004)
    In this mini-thesis we present some generalities of non-cancellation and localization and we compute non-cancellation groups. We consider groups belonging to the class X0 of all finitely generated groups that have finite ...
  • Conjugacy classes of some projective linear groups 

    Dietrich, Ernest Arthur (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 

    Dietrich, Ernest Athur (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 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 ...
  • A critical analysis of the pre-calculus course at U.W.C. 

    Myburgh, Namari (University of the Western Cape, 2002)
    Mathematical knowledge and skills have, over the last few decades, become very important in terms of study and work opportunities. Unfortunately, schools in South Africa have not met the expectations of their pupils or the ...