Browsing Doctoral Degrees (Mathematics and Computer Science Education) by Title
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Linear codes obtained from 2modular representations of some finite simple groups.
(2012)Let F be a finite field of q elements and G be a primitive group on a finite set . Then there is a Gaction on , namely a map G ! , (g; !) 7! !g = g!; satisfying !gg0 = (gg0)! = g(g0!) for all g; g0 2 G and ... 
Mathematics for future engineers : a study of teaching and learning mathematics in an engineering curriculum.
(20160119)This is a study of teaching and learning in the first mathematics module for engineering students at a South African university. The theoretical framing of the study is derived from multiple analytical tools: Bernstein’s ... 
A modelling approach for determining the freshwater requirements of estuarine macrophytes.
(1998)Increased abstraction of water in the catchment results in a reduced or altered pattern of river flow and this holds serious consequences for the downstream estuarine ecosystem. In South Africa this is a serious concern ... 
New analytical stellar models in general relativity.
(2009)We present new exact solutions to the Einstein and EinsteinMaxwell field equations that model the interior of neutral, charged and radiating stars. Several new classes of solutions in static spherically symmetric interior ... 
A new approach to illposed evolution equations : Cregularized and B bounded semigroups.
(2001)The theory of semigroups of linear operators forms an integral part of Functional Analysis with substantial applications to many fields of the natural sciences. In this study we are concerned with the application to ... 
Normalitylike properties, paraconvexity and selections.
(2012)In 1956, E. Michael proved his famous convexvalued selection theorems for l.s.c. mappings de ned on spaces with higher separation axioms (paracompact, collectionwise normal, normal and countably paracompact, normal, and ... 
On purity relative to an hereditary torsion theory.
(1992)The thesis is mainly concerned with properties of the concept "σpurity" introduced by J. Lambek in "Torsion Theories, Additive Semantics and Rings of Quotients", (SpringerVerlag, 1971). In particular we are interested ... 
On the logics of algebra.
(2008)We present and consider a number of logics that arise naturally from universal algebraic considerations, but which are ‘inherently unalgebraizable’ in the sense of [BP89a], essentially because they have no theo rems. Of ... 
On the status of the geodesic law in general relativity.
(1998)The geodesic law for test particles is one of the fundamental principles of general relativity and is extensively used. It is thought to be a consequence of the field laws but no rigorous proof exists. This thesis is ... 
Optimal designs for linear mixed models.
(2004)The research of this thesis deals with the derivation of optimum designs for linear mixed models. The problem of constructing optimal designs for linear mixed models is very broad. Thus the thesis is mainly focused on the ... 
The pedagogical content knowledge (PCK) of Rwandan grade six mathematics teachers and its relationship to student learning.
(2017)Abstract available in PDF file. 
Polynomial approximations to functions of operators.
(1994)To solve the linear equation Ax = f, where f is an element of Hilbert space H and A is a positive definite operator such that the spectrum (T (A) ( [m,M] , we approximate 1 the inverse operator A by an operator V which ... 
Realistic charged stellar models
(2007)In this thesis we seek exact solutions to the isotropic EinstienMaxwell system that model the interior of relativistic stars. The field equations are transformed to a simpler form using the transformation of Durgapal and ... 
The role and use of sketchpad as a modeling tool in secondary schools.
(2004)Over the last decade or two, there has been a discernible move to include modeling in the mathematics curricula in schools. This has come as the result of the demand that society is making on educational institutions to ... 
Spherically symmetric cosmological solutions.
(1996)This thesis examines the role of shear in inhomogeneous spherically symmetric spacetimes in the field of general relativity. The Einstein field equations are derived for a perfect fluid source in comoving coordinates. ... 
Stellar structure and accretion in gravitating systems.
(2012)In this thesis we study classes of static spherically symmetric solutions to the Einstein and Einstein–Maxwell equations that may be used to model the interior of compact stars. We also study the spherical accretion of ... 
Stratification and domination in graphs.
(2006)In a recent manuscript (Stratification and domination in graphs. Discrete Math. 272 (2003), 171185) a new mathematical framework for studying domination is presented. It is shown that the domination number and many ... 
A symptotic and blowup dynamics of kellersegel chemotaxis equations in scale of banach spaces.
(2015)Abstract available in PDF File. 
The thermal SunyaevZel'dovich effect as a probe of cluster physics and cosmology.
(2010)The universe is a complex environment playing host to a plethora of macroscopic and microscopic processes. Understanding the interplay and evolution of such processes will help to shed light on the properties and evolution ...