Now showing items 1-10 of 85
An APOS exploration of conceptual understanding of the chain rule in calculus by first year engineering students.
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 ...
Cosmological models and the deceleration parameter.
In this thesis we utilise a form for the Hubble constant first proposed by Berman (1983) to study a variety of cosmological models. In particular we investigate the Robertson-Walker spacetimes, the Bianchi I spacetime, ...
Multi-parameter perturbation analysis of a second grade fluid flow past an oscillating infinite plate.
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 ...
Dynamics of dissipative gravitational collapse.
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 ...
Applications of symmetry analysis to physically relevant differential equations.
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 ...
Population dynamics based on the McKendrick-von Foerster model.
The current state of information concerning the classical model of deterministic, age-dependent population dynamics - the McKendrick von Foerster equation - is overviewed. This model and the related Renewal equation are ...
Distances in and between graphs.
Aspects of the fundamental concept of distance are investigated in this dissertation. Two major topics are discussed; the first considers metrics which give a measure of the extent to which two given graphs are removed from ...
An investigation into grade 12 teachers' understanding of Euclidean Geometry.
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 ...
Some aspects of semirings of functions.
A well known fact of classical analysis is that the Stone- Cech compacti cation of a Tychono space is achieved as the structure space of the commutative unitary ring of real valued continuous functions de ned on it. An ...
Codes of designs and graphs from finite simple groups.
No abstract available.