Browsing Masters Degrees (Mathematics and Computer Science Education) by Title
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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 ... 
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 ... 
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 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 ... 
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 ... 
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 ... 
Congestion control based on dynamics pricing scheme and service classbased joint call admission control in heterogeneous wireless networks.
(20150226)Next Generation of Wireless Networks (NGWNs) are heterogeneous and consist of several Radio Access Technologies (RATs) that coexist in the same geographical area. This heterogeneity of wireless networks is supposed to ... 
Connectedness and the hyperspace of metric spaces.
(2015)One of the prime motivations for studying hyperspaces of a metric space is to understand the original space itself. The hyperspace of a metric space X is the space 2X of all nonempty closed bounded subsets of it, endowed ... 
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 ...