Browsing Masters Degrees (Mathematics and Computer Science Education) by Issue Date
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The construction and use of an evaluation instrument to measure attainment of objectives in mathematics learning at senior secondary level.
(1975)This research aimed at measuring the extent to which a group of senior secondary pupils were attaining desirable cognitive objectives in mathematics. The summary of the design and procedures adopted in this study and the ... 
Semiperfect CFPF rings.
(1987)The WedderburnArtin Theorem (1927) characterised semisimple Artinian rings as finite direct products of matrix rings over division rings. In attempting to generalise Wedderburn's theorem, the natural starting point will ... 
Population dynamics based on the McKendrickvon Foerster model.
(1988)The current state of information concerning the classical model of deterministic, agedependent population dynamics  the McKendrick von Foerster equation  is overviewed. This model and the related Renewal equation are ... 
Distances in and between graphs.
(1991)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 ... 
Cosmological models and the deceleration parameter.
(1992)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 RobertsonWalker spacetimes, the Bianchi I spacetime, ... 
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 ... 
Queueing and communication networks governed by generalised LindleyLoynes equations.
(1993)Several decades after A.K. Erlang originated the theory of queues and queueing networks, D.V. Lindley added impetus to the development of this field by determining a recursive relation for waiting times. Part I of this ... 
The preliminary group classification of the equation utt = f(x,ux)uxx + g(x, ux)
(1995)We study the class of partial differential equations Utt = f(x, ux)uxx + g(x, u x), with arbitrary functions f(x, u x) and g(x, u x), from the point of view of group classification. The principal Lie algebra of infinitesimal ... 
Closure operators on complete lattices with application to compactness.
(1995)No abstract available. 
Completion of uniform and metric frames.
(1996)The term "frame" was introduced by C H Dowker, who studied them in a long series of joint papers with D Papert Strauss. J R Isbell , in a path breaking paper [1972] pointed out the need to introduce separate ... 
Cosmological attractors and nohair theorems.
(1996)Interest in the attracting property of de Sitter spacetime has grown during the 'inflationary era' of cosmology. In this dissertation we discuss the more important attempts to prove the so called 'cosmic nohair conjecture' ... 
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 ... 
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 ... 
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 ... 
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 ... 
Residually small varieties and commutator theory.
(2000)Chapter 0 In this introductory chapter, certain notational and terminological conventions are established and a summary given of background results that are needed in subsequent chapters. Chapter 1 In this ... 
Computer analysis of equations using Mathematica.
(2001)In this thesis we analyse particular differential equations that arise in physical situations. This is achieved with the aid of the computer software package called Mathematica. We first describe the basic features of ... 
Economic evaluation of management strategies for cattle ranching in semiarid regions.
(2001)Arid and semiarid regions have increasingly become the subject of much research and debate by scientists. By their very nature, these regions characteristically exhibit extremes which complicate the implementation of ... 
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 ... 
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 ...