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Theses and Dissertations (Mathematics and Applied Mathematics): Recent submissions

  • An application of an entropy principle to short term interest rate modelling 
    Yani, Bridgette Makhosazana (University of Pretoria, 2012)
    This dissertation is based on the papers written by Platen and Rebolledo (1996), and Platen (1999). The papers focuses on modeling the short term interest rate by optimizing relative entropy of two probability measures Q ...
  • Bifurcation analysis and nonstandard finite difference schemes for Kermack and McKendrick type epidemiological models 
    Terefe, Yibeltal Adane (University of Pretoria, 2012)
    The classical SIR and SIS epidemiological models are extended by considering the number of adequate contacts per infective in unit time as a function of the total population in such a way that this number grows less rapidly ...
  • The valuation and calibration of convertible bonds 
    Hariparsad, Sanveer (University of Pretoria, 2009-10-08)
    A convertible bond (CB) is a hybrid security possessing the characteristics of both debt and equity. It gives the holder the right to convert the bond into a pre-specified number of shares (usually by the same issuer of ...
  • Discrete pulse transform of images and applications 
    Fabris-Rotelli, Inger Nicolette (University of Pretoria, 2013-05-17)
    The LULU operators Ln and Un operate on neighbourhoods of size n. The Discrete Pulse Transform (DPT) of images is obtained via recursive peeling of so-called local maximum and minimum sets with the LULU operators as n ...
  • Comparing different assessment formats in undergraduate mathematics 
    Huntley, Belinda (University of Pretoria, 2009-04-08)
    In this study, I investigate how successful provided response questions, such as multiple choice questions, are as an assessment format compared to the conventional constructed response questions. Based on the literature ...
  • Generalizations of the Diffie-Hellman protocol : exposition and implementation 
    Van der Berg, J.S. (University of Pretoria, 2007)
    A generalisation of the Diffie-Hellman protocol is studied in this dissertation. In the generalisation polynomials are used to reduce the representation size of a public key and linear shift registers for more efficient ...
  • Ideal perturbation of elements in C*-algebras 
    Lee, Wha-Suck (University of Pretoria, 2004)
    The aim of this thesis is to prove the lifting property of zero divisors, n-zero divisors, nilpotent elements and a criteria for the lifting of polynomially ideal elements in C*-algebras. Chapter 1 establishes the foundation ...
  • Format and long-term effect of a technique mastering programme in first year Calculus 
    Du Preez, Anna Elizabeth (University of Pretoria, 2006-01-18)
    The research on the format and long-term effect of a technique mastering programme in the first year Calculus course involves a group of first year engineering students at the University of Pretoria. Apart from conceptual ...