Now showing items 1-10 of 57
An APOS exploration of conceptual understanding of the chain rule in calculus by first year engineering students.
The main issue in this study is how students conceptualise mathematical learning in the context of calculus with specific reference to the chain rule. The study focuses on how students use the chain rule in finding derivatives ...
An investigation into grade 12 teachers' understanding of Euclidean Geometry.
The main focus of the research was to investigate the understanding of Euclidean Geometry of a group of Grade 12 mathematics teachers, who have been teaching Grade 12 mathematics for ten years or more. This study was ...
Some aspects of semirings of functions.
A well known fact of classical analysis is that the Stone- Cech compacti cation of a Tychono space is achieved as the structure space of the commutative unitary ring of real valued continuous functions de ned on it. An ...
Codes of designs and graphs from finite simple groups.
No abstract available.
Using artefacts to support an embodied approach to learning trigonometry : a case study of grade 10 learners.
The purpose of this study was to explore the role of artefacts (manipulatives) in the teaching and learning of trigonometric ratios in grade 10. The study focused on how the use of manipulatives aided learners’ mathematical ...
Mathematical analysis of pre-exposure prophylaxis on HIV infection.
We develop a mathematical model which seeks to assess the impact of HIV Pre-Exposure Prophylaxis (PrEP) on the prevalence and incidence of HIV infection. Mathematical analysis of the model is carried out to establish the ...
The interplay of dynamical systems analysis and group theory.
We investigate the relationship between the Dynamical Systems analysis and the Lie Symmetry analysis of ordinary differential equations. We undertake this investigation by looking at a relativistic model of self-gravitating ...
An overview of hidden symmetries.
Approaches to nding solutions to di erential equations are usually ad hoc. One of the more successful methods is that of group theory, due to Sophus Lie. In the case of ordinary di erential equations, the subsequent ...
Analysis of co-infection of human immunodeficiency virus with human papillomavirus.
We formulate a deterministic mathematical model for the co-infection of HPV with HIV without treatment. Mathematical techniques were used to analyze the stability of the models in terms of basic reproduction numbers for ...
Representation of regular formal languages.
This dissertation presents three different approaches to representing Regular Formal languages, i.e., regular expressions, finite acceptors and regular grammars. We define how each method is used to represent the language, ...