Browsing Department of Mathematics by Title
Now showing items 35-54 of 131
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Efficient Monte Carlo methods for pricing of electricity derivatives
(University of the Western Cape, 2012)We discuss efficient Monte Carlo methods for pricing of electricity derivatives. Electricity derivatives are risk management tools used in deregulated electricity markets. In the past,research in electricity derivatives ... -
Efficient numerical methods based on integral transforms to solve option pricing problems
(University of the Western Cape, 2012)In this thesis, we design and implement a class of numerical methods (based on integral transforms) to solve PDEs for pricing a variety of financial derivatives. Our approach is based on spectral discretization of the ... -
Efficient numerical methods to solve some reaction-diffusion problems arising in biology
(2013)In this thesis, we solve some time-dependent partial differential equations, and systems of such equations, that governs reaction-diffusion models in biology. we design and implement some novel exponential time differencing ... -
Efficient Variable Mesh Techniques to solve Interior Layer Problems
(University of Western Cape, 2020)Singularly perturbed problems have been studied extensively over the past few years from different perspectives. The recent research has focussed on the problems whose solutions possess interior layers. These interior ... -
Elementary logic as a tool in proving mathematical statements
(University of the Western Cape, 2008)The findings of the study indicate that knowledge of logic does help to improve the ability of students to make logical connections (deductions) between and from statements.The results of the study, however, do not indicate ... -
Elementary Logic as a Tool in Proving Mathematical Statements
(University of the Western Cape, 2008)An analysis of South African school mathematics results indicates that one of the problem areas in the mathematical performance of learners is proof and proving. In an endeavour to improve the mathematical proving ability ... -
Estimating the cost of deposit insurance for a commercial bank following an optimal investment strategy
(University of Western Cape, 2020)Commercial banks play a dominant role in facilitating the economic growth of a country by acting as an intermediary between the de cit spending unit (borrowers) and the surplus spending unit (lenders). In particular, ... -
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 ... -
Fischer-clifford matrices and character tables of inertia groups of maximal subgroups of finite simple groups of extension type
(University of the Western Cape, 2011)The aim of this dissertation is to calculate character tables of group extensions. There are several well–developed methods for calculating the character tables of group extensions. In this dissertation we study the method ... -
Fractional Black-Scholes equations and their robust numerical simulations
(University of Western Cape, 2020)Conventional partial differential equations under the classical Black-Scholes approach have been extensively explored over the past few decades in solving option pricing problems. However, the underlying Efficient Market ... -
Fractional black-scholes equations and their robust numerical simulations
(University of the Western Cape, 2020)Conventional partial differential equations under the classical Black-Scholes approach have been extensively explored over the past few decades in solving option pricing problems. However, the underlying Efficient Market ... -
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 -
Graphs of integral distance and their properties
(University of Western Cape, 2021)Understanding the geometries of points in space has been attractive to mathematicians for ages. As a model, twelve years ago, Kurz and Meyer [32] considered point sets in the m-dimensional a ne space Fmq over a nite ... -
Groupoids of homogeneous factorisations of graphs
(University of the Western Cape, 2009)This thesis is a study on the confluence of algebraic structures and graph theory. Its aim is to consider groupoids from factorisations of complete graphs. We are especially interested in the cases where the factors are ... -
High Accuracy Fitted Operator Methods for Solving Interior Layer Problems
(University of the Western Cape, 2020)Fitted operator finite difference methods (FOFDMs) for singularly perturbed problems have been explored for the last three decades. The construction of these numerical schemes is based on introducing a fitting factor ... -
Higher order numerical methods for singular perturbation problems
(University of the Western Cape, 2009)In recent years, there has been a great interest towards the higher order numerical methods for singularly perturbed problems. As compared to their lower order counterparts, they provide better accuracy with fewer mesh ... -
The impact of using technology through cooperative learning on learners’ performance on grade 11 circle geometry
(University of the Western Cape, 2019-11)Euclidean geometry was recently re-introduced as a compulsory topic in the Mathematics Curriculum for learners in the Further Education and Training (FET) band in 2012. The diagnostic analysis reports on the National ... -
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 ... -
The influence of interfaces on the understanding of Mathematics in secondary schools in Afghanistan
(University of the Western Cape, 2010)The focus of this research is to establish whether there is a difference in the way the genders perceive the visualization of mathematics, with specific reference to set theory. The influence of the computing experience ... -
Interior operators and their applications
(University of the Western Cape, 2019)Categorical closure operators were introduced by Dikranjan and Giuli in [DG87] and then developed by these authors and Tholen in [DGT89]. These operators have played an important role in the development of Categorical ...