Department of Mathematics
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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 ... -
Mathematical epidemiology of malaria disease transmission and its optimal control analyses
(University of the Western Cape, 2010)In this thesis, we present and analyse an SEIR (susceptible-exposed infectious-recovered) model for malaria disease transmission. The model consists treatment and control strategies such as the use of bed nets and spray ... -
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 so-called state space method. This method is based on the fact that a rational matrix function VV(^) which is analytic ... -
A critical analysis of the pre-calculus 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 ... -
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 ... -
Computing Mislin genera of certain groups with non-abelian torsion radicals
(University of the Western Cape, 2004)In this mini-thesis we present some generalities of non-cancellation and localization and we compute non-cancellation groups. We consider groups belonging to the class X0 of all finitely generated groups that have finite ... -
Left versus right canonical wiener-hopf factorization for rational matrix functions: an alternative version
(University of the Western Cape, 1995)It is an established fact that both canonical and non-canonical Wiener-hopf factorizations of matrix functions play an important role in various aspects of mathematical analysis and its applications. Indeed, for instance, ... -
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 -
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 ... -
Character Tables Of Some Groups of Extension Type
(University of the Western Cape, 2002)The main aim of this mini-thesis 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 ... -
In-service 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 in-service college students is generally on the increase. Such anxiety does not only affect the mathematical performance of students but also their teaching of the ... -
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. -
Character tables of some groups of extension type
(University of the Western Cape, 2002)The main aim of this mini-thesis 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 ... -
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> k-j ]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 ... -
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 ... -
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 ... -
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 ... -
Variances of purity within torsion-free 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 ... -
Reliable numerical simulations of problems for pricing real estate derivatives
(University of the Western Cape, 2022)The globalisation of nancial systems has presented new challenges to investing in real estate assets. For example, any crisis occurring in one real estate market will have an adverse e ect on other markets regardless ... -
Analysis and simulation of some ecological models describing weed-water hyacinth dynamics in Lake Tana, Ethiopia
(University of the Western Cape, 2022)The water hyacinth plant is notorious for being the world’s worst aquatic weed. In Ethiopia, it invades lake Tana which is the largest lake in Ethiopia. This is attracting attention of many researchers including mathematical ...
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