# Department of Mathematical Sciences: Applied Mathematics Division

## Postgraduate programmes

(Visit the links below for Calendar information on the programmes' curricula)

BScHons in Applied Mathematics

## About the Applied Mathematics Division

The contents and teaching methods of the postgraduate programmes are geared towards the demands set by industry, and new developments in the subject area itself. The research programmes of the Applied Mathematics Division are strengthened by the Division's extensive collaboration with the faculty of Engineering.

## Fields of research

**Discrete mathematics:**** **The focus is on graph theory, specifically domination, independence and irredundance in graphs.

**Fluid flow modelling:**** **This field concentrates on the analytical and numerical modelling of various aspects of single and multiphase transport of Newtonian and non-Newtonian fluids in different types of porous media. Applications include water seepage through rocks and soils, sediment transport and filtration processes. Various projects on the analysis of extreme events and time series analysis in the coastal zone are conducted.

**Numerical methods and computation: **Algorithms for scientific computing are developed and analysed. These algorithms include methods for solving differential equations and performing matrix computations. These algorithms are fundamental to just about every conceivable scientific application. Specific application areas of our interest include the computation of integral transforms and special functions, spectral methods, and the computation of wave phenomena.

**Computer vision and machine learning: **The study, development and implementation of machine learning techniques for various applications in computer vision, including automated recognition systems, reconstruction of 3D data from images, tracking of objects in video sequences, mapping and navigation in robotics, image processing and handwriting analysis.