Browsing Magister Scientiae  MSc (Mathematics and Applied Mathematics) by Issue Date
Now showing items 120 of 91

Generalization of a theorem of fitting on the product of two normal nilpotent subgroups of a group
(University of the Western Cape, 1977)Fitting proved that if H and K are normal nilpotent subgroups of G, then so is HK (t1 l'Hilfssatz 10, p. 100). The question arises if this result could be generalized to other group theoretical properties 
The determination of diffracted wave fields by an annulus according to Braunbek’s method
(University of the Western Cape, 1981)In this thesis a short wave approximation, the method oI W Braunbek, is used to determine the diffracted fields (acoustic and electromagnetic) of plane harmonic waves by an annular aperture. Integral representations ... 
Maximal left ideals and idealizers in matrix rings
(University pf Stellenbosch, 1984)In this chapter we supply all the necessary definitions as well as the required results needed in this work. All the notation and terminology will also be explained carefully. 
Maximal left ideals and idealizers in matrix rings
(University of the Western Cape, 1984)In this chapter we supply all the necessary definitions as well as the required results needed in this work. All the notation and terminology will also be explained carefully. §1 DEFINITIONS AND NOTATION R will always ... 
Conjugacy classes of some projective linear groups
(University of the Western Cape, 1992)Given a finite set X of distinct symbols the symmetric group Sx and the alternating group Ax are obtained without further constructions. More interesting groups are contrived, however, by imposing a certain structure on ... 
Conjugacy classes of some projective linear groups
(University of the Western Cape, 1992)Given a finite set X of distinct symbols the symmetric group S* and the alternating group A* are obtained without further constructions. More interesting groups are contrived, however, by imposing a certain structure on ... 
Variances of purity within torsionfree Abelian groups
(University of the Western Cape, 1994)In 1921, Prufer introduced the concept of a pure subgroup of an abelian group. This concept, which is applicable only to abelian groups, proved to be a very useful one. Subsequently, this concept has sparked off numerous ... 
Inservice female teachers' anxieties about mathematics: a reflective study on mathematics classroom practice at a college of education
(UWC, 1994)The incidence of mathematics anxiety manifesting itself in inservice college students is generally on the increase. Such anxiety does not only affect the mathematical performance of students but also their teaching of the ... 
Left versus right canonical wienerhopf factorization for rational matrix functions: an alternative version
(University of the Western Cape, 1995)It is an established fact that both canonical and noncanonical Wienerhopf factorizations of matrix functions play an important role in various aspects of mathematical analysis and its applications. Indeed, for instance, ... 
An examination of a didactical procedure to engage first year university students in meaningful mathematical activity
(University of the Western Cape, 1996)The challenge to empower learners whose mathematical powers have been underdeveloped has lead the author to search for and implement teaching innovations designed to enhance students learning of mathematics. Undergraduate ... 
Singular integral equations and realization: A survey of the state space method
(University of the Western Cape, 1996)Different methods for solving singular integral equations exist. One of the most recent methods is the socalled state space method. This method is based on the fact that a rational matrix function VV(^) which is analytic ... 
Computation of the character tables of certain group extensions
(University of the Western Cape, 1997)The work done in this minithesis deals mainly with different methods of calculating character tables of split extensions of finite groups. Three of the six character tables that are calculated are done with the use of ... 
Computation of the character tables of certain group extensions
(University of the Western Cape, 1997)In this chapter some basic theory on group extensions is first given in section 1.1 and then a method for finding the conjugacy classes of group extensions is described in section i.2. In section 1.3 we look at an example ... 
Computation of the character tables of certain group extensions
(University of the Western Cape, 1997)The work done in this mini thesis deals mainly with different methods of calculating character tables of split extensions of finite groups. Three of the six character tables that are calculated are done with the use of ... 
Block Toeplitz operators with rational symbols and discrete singular systems
(University of the Western Cape, 2001)This thesis concerns block Toeplitz operators (equations). Consider the block Toeplitz operator T = [<I> kj ]k,j=O' where the <I>k are complex m x m matrices such that 00 (0.1) v=oo The norm in (0.1) is the usual ... 
A critical analysis of the precalculus course at U.W.C.
(University of the Western Cape, 2002)Mathematical knowledge and skills have, over the last few decades, become very important in terms of study and work opportunities. Unfortunately, schools in South Africa have not met the expectations of their pupils or the ... 
Character tables of some groups of extension type
(University of the Western Cape, 2002)The main aim of this minithesis is to give a description of some of the basic methods and techniques that have been developed to calculate the character tables of groups of extension type. We restrict our attention to ... 
Character Tables Of Some Groups of Extension Type
(University of the Western Cape, 2002)The main aim of this minithesis is to give a description of some of the basic methods and techniques that have been developed to calculate the character tables of groups of extension type. We restrict our attention to ... 
Computing Mislin genera of certain groups with nonabelian torsion radicals
(University of the Western Cape, 2004)In this minithesis we present some generalities of noncancellation and localization and we compute noncancellation groups. We consider groups belonging to the class X0 of all finitely generated groups that have finite ... 
Transport modelling in the Cape Town Metropolitan Area
(University of the Western Cape, 2005)The use of MEPLAN by the Metropolitan Transport Planning Branch of the Cape Town City Council since 1984 was not successful due to apartheid anomalies. EMME/2 was then introduced in 1991 in replacement of MEPLAN. In this ...