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Now showing items 61-70 of 70
Topogenous structures on categories
(University of the Western Cape, 2016)
Although the interior operators correspond to a special class of neighbourhood operators,
the closure operators are not nicely related to the latter. We introduce and study the
notion of topogenous orders on a category ...
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 ...
Boundedness and pseudocompactness in pointfree topology
(University of Western Cape, 2019)
This dissertation is a presentation to generalize boundedness and pseudocompactness
in pointfree topology. We rst obtain and introduce a boundedness
notion for elements of a frame. This is then further inspiration to ...
On the numerical integration of singularly perturbed Volterra integro-differential equations
(University of the Western Cape, 2017)
Efficient numerical approaches for parameter dependent problems have been an inter-
esting subject to numerical analysts and engineers over the past decades. This is due
to the prominent role that these problems play in ...
Numerical singular perturbation approaches based on spline approximation methods for solving problems in computational finance
(University of the Western Cape, 2011)
Options are a special type of derivative securities because their values are derived from
the value of some underlying security. Most options can be grouped into either of
the two categories: European options which can ...
Mathematical models for optimal management of bank capital, reserves and liquidity
(University of the Western Cape, 2019)
The aim of this study is to construct and propose continuous-time mathematical models
for optimal management of bank capital, reserves and liquidity. This aim emanates from
the global financial crisis of 2007 − 2009. In ...
Codes, graphs and designs from maximal subgroups of alternating groups
(University of the Western Cape, 2018)
The main theme of this thesis is the construction of linear codes from adjacency matrices or sub-matrices of adjacency matrices of regular graphs. We first examine the binary codes from the row span of biadjacency ...
Codes, graphs and designs related to iterated line graphs of complete graphs
(University of the Western Cape, 2011)
In this thesis, we describe linear codes over prime fields obtained from incidence
designs of iterated line graphs of complete graphs Li(Kn) where
i = 1,2. In the binary case, results are extended to codes from ...
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 ...
Codes Related to and Derived from Hamming Graphs
(University of the Western Cape, 2013)
For integers n, k 2:: 1, and k ~ n, the graph r~has vertices the 2n vectors of lF2 and adjacency defined by two vectors being adjacent if they differ in k coordinate positions. In particular, r~is the classical n-cube, ...