Browsing Masters Degrees (Mathematics and Computer Science Education) by Title
Now showing items 3857 of 81

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 ... 
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 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 ... 
An investigation into grade 12 teachers' understanding of Euclidean Geometry.
(2012)The main focus of the research was to investigate the understanding of Euclidean Geometry of a group of Grade 12 mathematics teachers, who have been teaching Grade 12 mathematics for ten years or more. This study was ... 
An investigation of the use of multiple representations in teaching fractions at primary school level in Swaziland.
(2017)This study aimed at identifying the kinds of representations primary school teachers commonly use in teaching fractions, how they use them and their reasons for using them. The study drew on the teaching model by Ball, ... 
Iterative methods for approximating solutions of certain optimization problems and fixed points problems.
(2017)Abstract available in PDF file. 
Knowledgedirected intelligent information retrieval for research funding.
(2001)Researchers have always found difficulty in attaining funding from the National Research Foundation (NRF) for new research interests. The field of Artificial Intelligence (AI) holds the promise of improving the matching ... 
Learners' conceptual understanding of congruent triangles in transformation geometry
(2011)No abstract. 
Locally finite nearness frames.
(1998)The concept of a frame was introduced in the midsixties by Dowker and Papert. Since then frames have been extensively studied by several authors, including Banaschewski, Pultr and Baboolal to mention a few. The idea of ... 
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 ... 
Mathematical analysis of preexposure prophylaxis on HIV infection.
(2012)We develop a mathematical model which seeks to assess the impact of HIV PreExposure Prophylaxis (PrEP) on the prevalence and incidence of HIV infection. Mathematical analysis of the model is carried out to establish the ... 
Mathematical analysis of tuberculosis vaccine models and control stategies.
(20141020)The epidemiological study of tuberculosis (TB) has been ongoing for several decades, but the most effective control strategy is yet to be completely understood. The basic reproduction number, R₀, has been found to be ... 
Mathematical attitudes and achievement strategies of successful mathematics learners.
(2011)Too often, discussions about Mathematics express feelings of anguish and despair; and, indeed Mathematics results in general in South Africa can be described as dismal. The Department of Education (DoE) reported that in ... 
Mathematical modelling of drug resistance in malignant tumour treatment.
(2014)Resistance to conventional chemotherapies, especially to anticancer agents, is rapidly becoming a global pandemic. Mutations, in combination with genetic instabilities, play an important role in the molecular heterogeneity ... 
Mathematical modelling of tumour development during angiogenesis and treatment by antiangiogenesis.
(2016)Abstract available in PDF file. 
Maths anxiety and communication apprehension as barriers to learning mathematics.
(2011)As learners progress through the educational system their interest in mathematics diminishes. Although mathematics is designed to challenge learners, it has produced a high number of failures. Mathematics is most often ... 
A measuretheoretic approach to chaotic dynamical systems.
(2001)The past few years have witnessed a growth in the study of the longtime behaviour of physical, biological and economic systems using measuretheoretic and probabilistic methods. In this dissertation we present a study of ... 
Modeling the burden of disease for cattle.
(2014)Summary measures of human population health (SMPH) represents approaches to measuring the burden of disease. These approaches are divided into two classes: health expectancies and health gaps. A health gap model approach ... 
Modelling the spatial dynamics of a semiarid grazing system.
(1999)A large proportion of the world's land surface is covered by semiarid grasslands, and they provide an important source of income as a grazing resource. A more comprehensive understanding of these complex ecosystems is ... 
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 ...