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Advanced Mathematics

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EEE5108Z – Advanced Mathematics


Monday 4th June – Friday 8th June 2018

Time: 08h30 – 17h00

Provisional exam date: Tuesday 31st July 2018

Course Description

This course provides a useful mathematical toolkit for the Radar and Electronic Defence Engineer. Emphasis is on practical calculation and useful ‘tricks of the trade’ rather than mathematical rigour. The textbook, Advanced Engineering Mathematics, E. Kreyszig (Wiley) (with many editions available but edition 9 preferred) is prescribed. Some notes are also made available to assist the student.

Having successfully completed this course, students should be able to:

  • Understand calculus, linear algebra, special functions and at a level that enables them to access and make use of the radar research literature;
  • Carry through detailed calculations based on this material;
  • Be able to identify mathematical techniques most appropriate to the analysis of a particular application.

Course Overview

Specific course topics include (estimated number of lectures and acronyms shown in brackets):

  • Ordinary differential equations (7) (ODE)
  • Laplace transforms (3) (LT)
  • Fourier analysis (3) (FA)
  • Partial differential equations (2) (PDE)
  • Complex analysis (8) (CA)


Dr Pieter UysDr Pieter Uys is a Senior Scholar in the Department of Mathematics and Applied Mathematics, University of Cape Town. He was a Senior Lecturer in that department since 2003 until 2013 when he accepted his current appointment.

Dr Uys studied at the University of Natal, where he graduated with a PhD in 1986. Until 1999, he was a Senior Lecturer in Mathematics and Applied Mathematics at the University of Natal.

He then accepted a post as a researcher in the Division of Molecular Biology and Human Genetics at the MRC Centre for Molecular and Cellular Biology, a DST/NRF Centre of Excellence for Biomedical TB Research at the Faculty of Health Sciences, Stellenbosch University, a position he held until 2010.  His research involved the mathematical modelling of the various epidemiological processes found in the transmission of tuberculosis in high incident communities.

In 2002, he graduated with a Diploma in Epidemiological Modelling from the London School of Tropical Medicine and Hygiene.

Since 2008, Dr Uys has also been a Senior Research Fellow at the DST/NRF Centre of Excellence for Epidemiological Modelling and Analysis (SACEMA), Stellenbosch University.

Dr Uys has numerous publications in journals to his credit and has also contributed to chapters in books. He has participated in many international conferences and is a member of the review panels of several journals.