Browsing Mathematics and Computer Science Education by Title
Now showing items 120 of 102

A comparative study of collocation methods for the numerical solution of differential equations.
(2008)The collocation method for solving ordinary differential equations is examined. A detailed comparison with other weighted residual methods is made. The orthogonal collocation method is compared to the collocation method ... 
A simulation modeling approach to aid research into the control of a stalkborer in the South African Sugar Industry.
(2008)The control of the African stalk borer Eldana saccharina Walker (Lepidoptera: Pyralidae) in sugarcane fields of KwaZuluNatal, South Africa has proved problematical. Researchers at the South African Sugarcane Research ... 
An algebraic study of residuated ordered monoids and logics without exchange and contraction.
(1998)Please refer to the thesis for the abstract. 
Amplitudeshape method for the numerical solution of ordinary differential equations.
(1997)In this work, we present an amplitudeshape method for solving evolution problems described by partial differential equations. The method is capable of recognizing the special structure of many evolution problems. ... 
Analysis of coinfection of human immunodeficiency virus with human papillomavirus.
(20140517)We formulate a deterministic mathematical model for the coinfection of HPV with HIV without treatment. Mathematical techniques were used to analyze the stability of the models in terms of basic reproduction numbers for ... 
Anisotropic stars in general relativity.
(2004)In this thesis we seek new solutions to the anisotropic Einstein field equations which are important in the study of highly dense stellar structures. We first adopt the approach used by Maharaj & Maartens (1989) to obtain ... 
An APOS exploration of conceptual understanding of the chain rule in calculus by first year engineering students.
(2011)The main issue in this study is how students conceptualise mathematical learning in the context of calculus with specific reference to the chain rule. The study focuses on how students use the chain rule in finding derivatives ... 
The application of artifacts in the teaching and learning of grade 9 geometry.
(2005)The main focus of the study was to explore how the experiences that the learners went through in the Technology class during the construction and design of artifacts, could be used to inform the teaching of Geometry in the ... 
The application of the multigrid algorithm to the solution of stiff ordinary differential equations resulting from partial differential equations.
(1992)We wish to apply the newly developed multigrid method [14] to the solution of ODEs resulting from the semidiscretization of time dependent PDEs by the method of lines. In particular, we consider the general form of two ... 
Applications of symmetry analysis to physically relevant differential equations.
(2005)We investigate the role of Lie symmetries in generating solutions to differential equations that arise in particular physical systems. We first provide an overview of the Lie analysis and review the relevant symmetry ... 
Aspects of distance and domination in graphs.
(1995)The first half of this thesis deals with an aspect of domination; more specifically, we investigate the vertex integrity of ndistancedomination in a graph, i.e., the extent to which ndistancedomination ... 
Aspects of functional variations of domination in graphs.
(2003)Let G = (V, E) be a graph. For any real valued function f : V >R and SCV, let f (s) = z ues f(u). The weight of f is defined as f(V). A signed ksubdominating function (signed kSF) of G is defined as a function f : V > ... 
Aspects of spherically symmetric cosmological models.
(1998)In this thesis we consider spherically symmetric cosmological models when the shear is nonzero and also cases when the shear is vanishing. We investigate the role of the EmdenFowler equation which governs the behaviour ... 
Character tables of the general linear group and some of its subgroups
(2008)The aim of this dissertation is to describe the conjugacy classes and some of the ordinary irreducible characters of the nite general linear group GL(n, q); together with character tables of some of its subgroups. We study ... 
Chebyshev spectral pertutrbation based method for solving nonlinear fluid flow problems.
(20150303)In this dissertation, a modi cation of the classical perturbation techniques for solving nonlinear ordinary di erential equation (ODEs) and nonlinear partial di erential equations (PDEs) is presented. The method, called ... 
A classical approach for the analysis of generalized linear mixed models.
(2004)Generalized linear mixed models (GLMMs) accommodate the study of overdispersion and correlation inherent in hierarchically structured data. These models are an extension of generalized linear models (GLMs) and linear mixed ... 
A classification of second order equations via nonlocal transformations.
(2000)The study of second order ordinary differential equations is vital given their proliferation in mechanics. The group theoretic approach devised by Lie is one of the most successful techniques available for ... 
Closure operators on complete lattices with application to compactness.
(1995)No abstract available. 
Cluster mass reconstruction via gravitational lensing.
(2009)The presence of massive objects is detectable in observations via the gravitational lensing effect on light from more distant sources. From this effect it is possible to reconstruct the masses of clusters, and the distribution ... 
Coagulationfragmentation dynamics in size and position structured population models.
(2008)One of the most interesting features of fragmentation models is a possibility to breach