Browsing Masters Degrees (Applied Mathematics) by Title
Now showing items 1736 of 57

Degree theory in nonlinear functional analysis.
(20131021)The objective of this dissertation is to expand on the proofs and concepts of Degree Theory, dealt with in chapters 1 and 2 of Deimling [28], to make it more readable and accessible to anyone who is interested in the ... 
A discrete Fourier transform based on Simpson's rule.
(20150105)Fourier transforms are mathematical operations which play a vital role in the analysis of mathematical models for problems originating from a broad spectrum of elds. In this thesis, we formulate a discrete transform ... 
A discrete Hartley transform based on Simpson's rule.
(2015)The Discrete Hartley Transform and Discrete Fourier Transform are classical transfor mations designed for e cient computations in the frequency domain. We introduce a relatively new transformation based on the existing ... 
Distance measures in graphs and subgraphs.
(1996)In this thesis we investigate how the modification of a graph affects various distance measures. The questions considered arise in the study of how the efficiency of communications networks is affected by the loss of ... 
Doublediffusive convection flow in a porous medium saturated with a nanofluid.
(2014)In this work, we studied heat and mass transfer in a nanofluid flow over a stretching sheet. Fluid flow in different flow geometries was studied and a coordinate transformation was used to transform the governing equations ... 
Educational managers' understanding and experiences of the implementation of inclusive education : evidence from selected urban primary schools in Zimbabwe.
This study focused on the school heads‟ understanding and experiences of the implementation of Inclusive Education in selected urban primary schools in Zimbabwe. The apparent absence of a tentative policy statement that ... 
The eigenchromatic ratio of classes of graphs : molecular stability, asymptotes and area.
(2017)This dissertation involves combining the two concepts of energy and the chromatic number of classes of graphs into a new ratio, the eigenchromatic ratio of a graph G. Associated with this ratio is the importance of its ... 
Eigenvalue bounds for matrices.
(2018)Eigenvalues are characteristic of linear operators. Once the spectrum of a matrix is known then its Jordan Canonical form can be determined which simplifies the un derstanding of the matrix. ... 
Energy of graphs : the Eigencomplete difference ratio with its asymptotic domination and area aspects.
(2015)Abstract available in PDF file. 
Exact solutions for perfect fluids conformal to a Petrov type D spacetime.
(2011)Abstract is available from the print copy. 
Exact solutions for relativistic models.
(20131031)In this thesis we study spherically symmetric spacetimes related to the Einstein field equations. We consider only neutral matter and apply the Einstein field equations with isotropic pressures. Our object is to model ... 
Giant Radio Halos and Relics in ACTPol Clusters.
(2017)Galaxy clusters are the largest gravitationallybound structures in the universe. They act as the largest astrophysical laboratories in the universe and are extremely interesting objects to study as they are at crossroads ... 
Gravitational lensing of the cosmic microwave background: techniques and applications.
(2016)We have entered an era of precision cosmology, in which the parameters of the standard cosmological model have been well constrained by observations. The cosmic microwave background (CMB) has played a vital role in ... 
Group analysis of equations arising in embedding theory.
(2010)Embedding theories are concerned with the embedding of a lower dimensional manifold (dim = n, say) into a higher dimensional one (usually dim = n+1, but not necessarily so). We are concerned with the particular case of ... 
Identifying and modeling the dynamics of a core cancer subnetwork.
(2011)Many recent studies have shown that the initiation of human cancer is due to the malfunction of some genes at the Rcheckpoint during the G1toS transition of the cell cycle. Identifying and modeling the dynamics of ... 
Impact of exogenous reinfection on TB infection in a genetically susceptible population.
(20131217)In this study we investigated the impact of exogenous reinfection on genetically resistant and genetically sensitive sub populations. We qualitatively analysed the dynamics of TB by assuming that TB is transmitted in two ... 
Matrices of graphs and designs with emphasis on their integral eigenpair balance characteristic.
(20150105)The interplay between graphs and designs is well researched. In this dissertation we connect designs and graphs entirely through their associated matrices – the incidence matrix for designs and the adjacency matrix for ... 
Matrix models of population theory.
(20140512)Nonnegative matrices arise naturally in population models. In this thesis, we first study Perron Frobenius theory of nonnegative irreducible matrices. We use this theory to investigate the asymptotic behaviour ... 
Modelling the response of cytotoxic tlymphocytes in controlling solid tumour invasion.
(20131220)We present mathematical models to study the mechanism of interaction of tumour infiltrating cytotoxic lymphocytes (TICLs) with tumour cells. We focus on the phase spaces of the systems and the nature of the solutions for ... 
New class of LRS spacetimes with simultaneous rotation and spatial twist.
(2016)In this thesis we study Locally Rotationally Symmetric (LRS) spacetimes in which there exists a unique preferred spatial direction at each point. The conventional 1+3 decomposition of spacetime is extended to a 1+1+2 ...