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Mathematics and Applied Mathematics

Postgraduate programs of the department

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The department offers honours, masters and doctoral degrees in pure mathematics and applied mathematics. The program details and requirements are given below. The general university rules for postgraduate studies can be found in the University Prospectus.

Honours Degrees

BACHELOR OF SCIENCE HONOURS: APPLIED MATHEMATICS

ADMISSION REQUIREMENTS
The admission requirement for the Honours degree in Applied Mathematics is a Bachelor’s degree, with a weighted average of at least 60% in Applied Mathematics as a major subject. Candidates who have not obtained an average of at least 60% in this major subject will only be admitted to the Honours programme with the special permission of the Department, and on such conditions as may be determined by the Department. Candidates must in addition have completed the prerequisites for the modules which they select.
GENERAL

The Honours programme runs over a year and consists of four taught modules (2 compulsory and 2 electives) and a compulsory project. Successful completion of the project is required for the degree. The project must be completed and submitted for assessment the first week of the November examination period.

The elective modules offered in any year will depend on both the availability of staff and student demand. A candidate may, with the approval of the Department, replace one of the elective modules with another appropriate module.
CURRICULUM
Module Name Module Code Presented Credits NQF Level
Core Modules (compulsory)
Finite Element methods MAPM411 Year 24 8
Biomathematics MAPM421 Year 24 8
Project MAPM420 Year 30 8
Elective Modules
Select two of the following modules:
Numerical Linear Algebra MAPM412 Year 24 8
Graph Theory MAPM413 Year 24 8
Continuum Mechanics MAPM414 Year 24 8
Mathematical Control Theory MAPM415 Year 24 8
Capita Selecta MAPM417 Year 24 8

BACHELOR OF SCIENCE HONOURS: MATHEMATICS

ADMISSION REQUIREMENTS
The entrance requirement for the Honours degree in Mathematics is a Bachelor’s degree with a weighted average of at least 60% in Mathematics as the major subject.
GENERAL
The Honours programme runs over a year and consists of four taught modules (3 compulsory and one elective) and a compulsory project. Successful completion of the research report is required for the degree. The research report must be completed and submitted for assessment the first week of the
November examination period. Candidates may replace the elective taught module with another appropriate module with the permission of the Head of the Department.
CURRICULUM
Module name Module Code Presented Credit Value NQF Level
Core modules: These four modules are compulsory.
Project MATH430 Year 30 8
Functional Analysis MATH421 Year 24 8
Topology MATH415 Year 24 8
Abstract Algebra MATH422 Year 24 8
Electives: Choose one module from those listed below:
Measure and Integration Theory MATH413 Year 24 8
Capita Selecta MATH417 Year 24 8
Modern Applied Algebra MATH420 Year 24 8
Total Credits   Minimum 126  

Masters Degrees

MASTER OF SCIENCE IN APPLIED MATHEMATICS (RESEARCH)

Upon recommendation by the Department, changes in the prescribed syllabus may be considered.
ADMISSION REQUIREMENTS
BSc Honours: Applied Mathematics.
DISSERTATION
• The presentation of a dissertation on an approved research project.
• The presentation of at least one seminar on an approved topic.
• Additional courses or advanced lectures on current topics, which may be prescribed by the Department in special circumstances.
• The presentation of one article on the dissertation for publication in a recognised journal.
DURATION
The qualification shall extend over at least one year of full-time study.
CURRICULUM
  Presented Module Code Credit Value
Compulsory module:
Research project and dissertation Year MAPV500 180

MASTER OF SCIENCE IN MATHEMATICS (RESEARCH)

ADMISSION REQUIREMENTS
Students wishing to register for this degree must be in possession of an Honours degree in Mathematics or Applied Mathematics and have demonstrated ability in the
chosen area of specialisation. They must, in addition, have completed any prerequisites prescribed for the modules which make up their curriculum, or must otherwise satisfy the Department of their ability to perform the work of the courses.
DURATION
The qualification shall extend over at least one year of full-time or two years of part- time study.
CURRICULUM
  Presented Module Code Credit Value
Compulsory module:
Research project and dissertation Year MATT500 180

Doctoral Studies

DOCTOR OF PHILOSOPHY: APPLIED MATHEMATICS (RESEARCH)

ADMISSION REQUIREMENTS
Master's degree in Mathematics.
DURATION
The qualification shall extend over at least two years of full-time or part-time study.
CURRICULUM
  Presented Module Code Credit Value
Compulsory module:
Research project and thesis Year MAPV600 360

DOCTOR OF PHILOSOPHY: MATHEMATICS (RESEARCH)

ADMISSION REQUIREMENTS
Master’s degree in Mathematics.
DURATION
The qualification shall extend over at least two years of full-time or part-time study.
CURRICULUM
  Presented Module Code Credit Value
Compulsory module:
Research project and thesis Year MATT600 360

 

Honours, masters or doctoral studies supervisors and their speciality areas:

Name Specialty Areas
Stefan Veldsman
  • Honours project: most mathematical areas
  • Master and doctoral: Algebra, specifically ring theory, near-ring theory, radical theory
Martin Weigt
  • Master and Doctoral: Functional Analysis, Topological Algebras, Operator Algebras, Unbounded Operator Algebras
Suresh Juglal
  • Honours project: Algebra, specifically rings.
  • Masters: Algebra – rings and near-rings.
Christiaan Pretorius
  • Honours project: most applied mathematical areas
  • Masters: evolutionary optimization, machine learning, Artificial Neural Networks, robotics, dynamical systems, Finite Element Methods
 
Willard Mbava
  • Honours project: most applied mathematical areas
  • Masters and Doctoral: Biomathematics - Mathematical ecological modelling, Mathematical epidemiology, Mathematical Optimal Control

 

Contact information
Ms Christa Esterhuizen
Departmental Secretary
Tel: 27 41 504 2310
christa.esterhuizen@mandela.ac.za

Prof Stefan Veldsman
Professor
Tel: 041 504 4728
stefan.veldsman@mandela.ac.za

Related Information
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