Magister Scientiae - MSc (Mathematics and Applied Mathematics)

Computation of the character tables of certain group extensions

James, C. (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 ...

Modelling the basel III capital adequacy and net stable funding ratios for a commercial bank following an optimal investment strategy

Hercules, Richard Stephen (University of the Western Cape, 2024)

Commercial banks have a significant impact on a country’s economy as they raise capital, create liquidity by converting their customers’ deposits into loans, and deliver essential services such as loans, certificates of ...

A categorical study of persistent homology for closure space

Bria, Aimé Razanaparany (University of the Western Cape, 2023)

We begin with the concept of closure space and show how it relates to other objects like graphs and metric spaces in categorical terms. We also study the notion of simplicial sets and show that there is an adjunction between ...

Mathematical modeling of the population dynamics and optimal control of COVID-19 disease

van Schalkwyk, Jen´e (2024)

Since the onset of the COVID-19 pandemic, researchers speculated that this virus would create numerous challenges in the daily lives of individuals, especially medical and governmental authorities as they are put under ...

Conjugacy classes of some projective linear groups

Dietrich, Ernest Athur (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 ...

Computation of the character tables of certain group extensions

James, C (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 ...

Singular integral equations and realization: A survey of the state space method

Gantsho, Yolanda Vuyokazi (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.

Myburgh, Namari (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

Dietrich, Ernest Arthur (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

Hess, Victor George (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

Petersen, Mark Adam (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

Fray, R.L (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

Fransman, Andrew (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

Prins, Abraham Love (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

Williams, E (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 ...