Browsing Doctoral Degrees (Mathematics and Computer Science Education) by Type "Thesis"
Now showing items 2140 of 45

FischerClifford matrices of the generalized symmetric group and some associated groups.
(2005)With the classification of finite simple groups having been completed in 1981, recent work in group theory has involved the study of the structures of simple groups. The character tables of maximal subgroups of simple ... 
FischerClifford theory for split and nonsplit group extensions.
(2001)The character table of a finite group provides considerable amount of information about the group, and hence is of great importance in Mathematics as well as in Physical Sciences. Most of the maximal subgroups of the finite ... 
Graph and digraph embedding problems.
(1996)This thesis is a study of the symmetry of graphs and digraphs by considering certain homogeneous embedding requirements. Chapter 1 is an introduction to the chapters that follow. In Chapter 2 we present a brief survey ... 
The history of mathematics as a pedagogical tool: exploring learner perspectives with regard to the theorem of pythagoras.
(2017)This study sought to ascertain whether the inclusion of the history of the Theorem of Pythagoras has any positive influence on learners’ perceptions of the theorem and its applications, on geometry and on mathematics in ... 
Information and communication technologies integration into early childhood development education in Masvingo Province, Zimbabwe : a critical analysis.
(2019)ICT integration has been considered a silver bullet in different studies internationally. As a result, the multifaceted Zimbabwean primary education system has made initiatives to adopt ICT. Early Childhood Development ... 
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.
(2014)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 ...