Browsing Masters Degrees (Mathematics and Computer Science Education) by Issue Date
Now showing items 2140 of 81

Spherically symmetric solutions in relativistic astrophysics.
(2002)In this thesis we study classes of static spherically symmetric spacetimes admitting a perfect fluid source, electromagnetic fields and anisotropic pressures. Our intention is to generate exact solutions that model the ... 
On spectral torsion theories.
(2003)The purpose of this thesis is to investigate how "spect ralness" properties of a torsion theory T on R  Mod are reflected by properties of the ring R and its ring of quotients R,.. The development of "spectral" torsion ... 
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 ... 
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 ... 
The design and implementation of a classroombased support programme in trignometry for use by underqualified educators.
(2005)The main purpose of the study was to show the necessity of a classroombased educator inservice support programme. Educators have unique problems being derived from the uniqueness of their school situations. Thus, the ... 
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 ... 
Inhomogeneous solutions to the Einstein equations.
(2007)In this dissertation we consider spherically symmetric gravitational fields that arise in relativistic astrophysics and cosmology. We first present a general review of static spherically symmetric spacetimes. aand highlight ... 
The pricing theory of Asian options.
(2007)An Asian option is an example of exotic options. Its payoff depends on the average of the underlying asset prices. The average may be over the entire time period between initiation and expiration or may be over some period ... 
Global embeddings of pseudoRiemannian spaces.
(2007)Motivated by various higher dimensional theories in highenergyphysics and cosmology, we consider the local and global isometric embeddings of pseudoRiemannian manifolds into manifolds of higher dimensions. We provide ... 
Dynamics of dissipative gravitational collapse.
(2008)In this study we generate the matching conditions for a spherically symmetric radiating star in the presence of shear. Two new exact solutions to the Einstein held equations are presented which model a relativistic radiating ... 
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 ... 
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 ... 
Multiparameter perturbation analysis of a second grade fluid flow past an oscillating infinite plate.
(2009)In this dissertation we consider the two dimensional flow of an incompressible and electrically conducting second grade fluid past a vertical porous plate with constant suction. The flow is permeated by a uniform transverse ... 
Real options : duopoly dynamics with more than one source of randomness.
(2009)The valuation of real options has been of interest for some time. Recently, the model has been revised to include more than one source of randomness, e.g. Paxson and Pinto (2005). In this dissertation, we present a model ... 
Remediation of firstyear mathematics students' algebra difficulties.
(2009)The pass rate of firstyear university mathematics students at the University of KwaZuluNatal (Pietermaritzburg Campus) has been low for many years. One cause may be weak algebra skills. At the time of this study, revision ... 
The effects of using visual literacy and visualization in the teaching and learning of mathematics problem solving on grade 6 and grade 7.
(2009)In this study I examine the effects of visualization in the teaching of problem solving in grades 6 and 7 in a school south of Durban in KwaZulu Natal. One of the goals of mathematics instruction according to the Department ... 
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 ... 
Long time behaviour of population models.
(2010)Nonnegative matrices arise naturally in population models. In this thesis, we look at the theory of such matrices and we study the PerronFrobenius type theorems regarding their spectral properties. We use these theorems ... 
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 interplay of dynamical systems analysis and group theory.
(2011)We investigate the relationship between the Dynamical Systems analysis and the Lie Symmetry analysis of ordinary differential equations. We undertake this investigation by looking at a relativistic model of selfgravitating ...