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Mathematics and Applied Mathematics

Programmes

The following are the modules offered by the Department of Mathematics and Applied Mathematics:
#        Service modules to our school and other schools, for example, School of
          Agriculture, Rural Development and Forestry, School of Business, Economics and
          Administrative Sciences, School of Health Sciences and School of Environmental
          Sciences;

#        Mathematics and Applied Mathematics main stream modules, leading to a BSc
          degree with

  1. Mathematics as a major taken with Applied Mathematics or Physics or Computer Science or Statistics or Chemistry
  2. Financial Mathematics as a major taken with Statistics

#       Modules leading to higher qualifications.

Undergraduate Programme

Modules

  1. BACHELOR OF SCIENCE IN MATHEMATICS AND APPLIED MATHEMATICS: BSCMAM
  2. BACHELOR OF SCIENCE IN MATHEMATICS AND STATISTICS: BSCMST
  3. BACHELOR OF SCIENCE IN MATHEMATICS AND PHYSICS: BSCMP
  4. BACHELFOR OF SCIENCE IN CHEMISTRY AND MATHEMATICS: BSCCM


Higher Degrees (Honours, Masters and Doctoral)

1. Honours Programme

Entry Requirements

A BSc degree with mathematics or applied mathematics as one of the majors or an equivalent degree obtained elsewhere.

In order to be awarded the BSc Honours degree in Mathematics or Applied Mathematics, a candidate must have passed six prescribed modules and MAT 5701.

Students are advised to seek for guidance from the head of the department in the matters concerning the programmes to be followed and prerequisites, other than just a BSc degree with mathematics or applied mathematics as a major, for certain modules. For example a student who wishes to follow the Applied Mathematics programme would require certain modules, like MAT 3647, which are electives in some undergraduate programmes.

Modules

HONOURS DEGREE IN MATHEMATICS OR APPLIED MATHEMATICS


2. Masters Programme

a) MSc degree by research

MAT 6000                    :   Research project

Entry Requirements      
Appropriate BSc Honours degree in Mathematics or Applied Mathematics

b) MSC degree by course work and a mini-dissertation:

MAT 6656:     Mini dissertation

Entry Requirements   
Appropriate BSc  Honours degree in Mathematics or Applied Mathematics or its equivalent obtained from elsewhere.

c) Duration of the programme

The length of the programme shall normally be one calendar year for full-time students and two calendar years for part-time students. The maximum period of study for full-time students is two years whilst the maximum period of study for part-time students is three years.

Students are advised to seek for guidance from the head of the department in the matters concerning the programmes to be followed and prerequisites for the modules on offer, other than just a BSc Honours  degree.

d) Award of the MSc Degree in Mathematics or Applied Mathematics

Taught Masters
In order to be awarded the MSc degree, in Mathematics or Applied Mathematics, a candidate must have passed six prescribed modules and completed satisfactorily the mini dissertation.

MSc by Research
In order to be awarded the MSc degree by research, in Mathematics or Applied Mathematics, a candidate must have completed satisfactorily the dissertation.

To look at the detailed course content for MSC degree by course work and a mini-dissertation please click here.

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3. Doctoral Programme

MAT 7000      :           Research Project

Entry requirements
An appropriate MSc. Degree in Mathematics/Applied Mathematics or its equivalent.

 

All Modules


1. BACHELOR OF SCIENCE IN MATHEMATICS AND APPLIED MATHEMATICS: BSCMAM

Year 1 (NQF level 5) Year 2 (NQF level 6) Year 3 (NQF level 7)
Semester 1 Semester 2 Semester 1 Semester 2 Semester 1 Semester 2
MAT 1541 (8)
Differential Calculus
MAT 1542 (8)
Mathematic Foundations I
COM 1522 (8)
Introduction to Computer Systems
PHY 1521 (8)
Mechanics
STA 1542 (8)
Introductory Probability
COM 1721 (16)
Object Oriented Programming
ECS 1541 (10)
English Communication Skills		 MAT 1641 (8)
Integral Calculus
MAT 1642 (8)
Mathematics Foundations II
MAT 1646 (8)
Mechanics I
MAT 1647 (8)
Numerical Analysis I		 MAT 2541 (10)
Linear algebra
MAT 2542 (10)
Multivariable Calculus
MAT 2548 (10)
Mathematical Modelling I
STA 2541 (10)
Probabiliity Distributions I 		MAT 2641 (10)
Real Analysis I
MAT 2642 (10)
Ordinary Differential Equations I
MAT 2647 (10)
Numerical Analysis II
MAT2648 (10)
Vector Analysis
STA 2641 (10)		 MAT 3541 (14)
Real Analysis
MAT 3547 (14)
Partial Differential Equations
MAT 3549 (14)Ordinary Differential Equations II		 MAT 3641 (14)
Complex Analysis
MAT 3643 (14)
Graph Theory
MAT 3646 (14)
Mechanics II
MAT 3647 (14)
Numerical Analysis III
ECS1645 (10)
English Communication Skills
24 credits taken from: 30 credits taken from: 14 credits taken from:
COM 1524 (8)
Fundamentals of Computer Systems
PHY 1522 (8)
Waves and Optics
STA 1541 (8)
Introduction to Statistics 		PHY 1623 (8)
Properties of Matter Thermal Physics
PHY 1624 (8)
Electricity and Magnetism
STA 1641 (8)
Elementary Statistical Methods I
STA 1642 (8)
Elementary Statistical Methods II		 COM 2523 (10)
Imperative Programming
COM 2528 (10)
Artificial Intelligence Fundamentals
COM 2529 (10)
Database Fundamentals
STA 2542 (10)
Multiple Regression		 COM 2616 (10)
Reasoning about Programs
COM 2624 (10)
Algorithms and Data Structures
COM 2629 (10)
Systems Analysis
STA 2642 (10)		 STA 3541 (14)
Real analysis II
MAT 3542 (14)
Group Theory
STA 3542  (14)
Industrial Statistics		 COM 3621 (14)
Advanced Algorithms
MAT 3642 (14)
Rings and Fields
MAT 3644 (14)
Continuum Mechanics
MAT 3648 (14)
Mathematical Modelling II
MAT 3649 (14)
Geometry
Total credits = 122 Total credits = 120 Total credits = 122

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2. BACHELOR OF SCIENCE IN MATHEMATICS AND STATISTICS: BSCMST

Year 1 (NQF level 5) Year 2 (NQF level 6) Year 3 (NQF level 7)
Semester 1 Semester 2 Semester 1 Semester 2 Semester 1 Semester 2
MAT1541 (8)
Differential Calculus
MAT1542 (8)
Mathematics Foundations I
COM1721 (16)
Object Oriented Programming
PHY1521(8)
Mechanics
STA1541 (8)
Introduction to Statistics
STA1542  (8)
Introductory Probability
ECS1541 (10)
English Communication Skills 		MAT1641 (8)
Integral CalculusMAT1642 (8)Mathematics Foundations II
STA1641 (8)
Elementary Statistical Method ISTA1642 (8)Elementary Statistical Methods II		 MAT2541(10)
Linear algebra
MAT2542 (10)
Multivariable Calculus
STA2541 (10)
Probability Distributions I
STA2542 (10)
Multiple Regression 		MAT2641 (10)
Real Analysis I
MAT2642 (10)
Ordinary Differential Equations I
STA2641 (10)
Probability Distributions II
STA2642 (10)
Introduction to Research and Official Statistics		 MAT3541 (14)
Real Analysis II
MAT3546 (14)
Finance Mathematics
STA3541 (14)
Introductory Inference I		 MAT3641 (14)
Complex Analysis
STA3642 (14)
Experimental Design
ECS1645 (10)
English Communication Skills
24 credits taken from: 40 credits taken from: 42 credits taken from:

 

COM1522 (8)
Introduction to computer Systems
COM1524 (8)
Fundamentals of computer Architecture
PHY1522 (8)
Waves and Optics

MAT 1646 (8) Mechanics I
MAT 1647 (8) Numerical Analysis I
PHY1623 (8)
Properties of Matter, Thermal Physics
PHY1624 (8)
Electricity and Magnetism

MAT 2548 (10) Mathematical Modelling I
COM2523 (10)
Imperative Programming
COM2528 (10)
Artificial Intelligence Fundamentals
COM2529 (10)
Database Fundamentals

COM2616 (10)
Reasoning about Programs
COM2621 (10)
Computer Graphics
COM2629 (10)
Systems Analysis
MAT2647 (10)
Numerical Analysis II
MAT2648 (10)
Vector Analysis

14 credits from:
STA3542 (14)
Industrial Statistics
STA3543 (14)
Sampling Techniques
MAT 3556 (14) Statistical Finance Mathematics
MAT 3542 (14) Group Theory

14 credits from:
MAT3648 (14)
Rings and Fields
STA3641 (14)
Time Series Analysis
STA3643 (14)
Multivariate Methods
MAT 3656 (14) Advanced Financial Mathematics

Total credits = 122 Total credits = 120 Total credits = 122

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3. BACHELOR OF SCIENCE IN MATHEMATICS AND PHYSICS: BSCMP

Year 1 (NQF level 5) Year 2 (NQF level 6) Year 3 (NQF level 7)
Semester 1 Semester 2 Semester 1 Semester 2 Semester 1 Semester 2
PHY 1521 (8)
Mechanics
PHY 1522 (8)
Waves and Optics
MAT 1541 (8)
Differential Calculus
CHE 1540 (16)
General Chemistry
MAT 1542 (8)
Mathematics Foundations I
COM 1721 (16)
Object Oriented Programming
ECS 1541 (10)
English Communication Skills		 PHY 1623 (8)
Properties of Matter, Thermal Physics
PHY 1624 (8)
Electricity and Magnetism
MAT 1641 (8)
Integral Calculus
MAT 1642 (8)
Mathematics Foundations II
MAT 1647 (8)
Numerical Analysis I		 PHY 2521 (10)
Classical Mechanics
PHY 2522 (10)
Waves and Optics
MAT 2541 (10)
Linear Algebra
MAT 2542 (10)
Multivariable Calculus		 PHY 2623 (10)
Electrodynamics
PHY 2624 (10)
Modern Physics
MAT 2641 (10)
Complex Analysis
MAT 2642 (10)
Ordinary Differential Equations I
MAT 2648 (10)
Vector Analysis
MAT 2647 (10)
Numerical Analysis II
ECS1645  (10)
English Communication Skills		 PHY 3521 (14)
Atomic and Nuclear Physics
PHY 3522 (14)
Solid State Physics
MAT 3541 (14)
Real Analysis II
MAT 3547 (14)
Partial Differential EquationsMAT 3549 (14) Ordinary Differential Equations II		 PHY 3623 (14)
Thermal and Statistical Physics
PHY 3624 (14)
Quantum Mechanics
MAT 3641 (14)
Complex Analysis
8 credits taken from: 10 credits taken from: 14 credits taken from:
COM 1522 (8)
Intro to Computer Systems
COM 1524(8)
Fundamentals of Computer Architecture
STA 1541 (8)
Introduction to Statistics
STA 1542 (8)
Introductory Probability		 STA 1641 (8)
Elementary Statistical Methods I
STA 1642 (8)
Elementary Statistical Methods II		 MAT 2548 (10) Mathematical Modelling I
COM 2523 (10)
Imperative Programming
COM 2528 (10)
Artificial Intelligence Fundamentals
COM 2529 (10)
Database Fundamentals
STA 2541 (10)
Probability Distributions I		 CHE 2620  (10)
Analytical Chemistry
CHE 2623 (10)
Physical Chemistry
STA 2641 (10)
Probability Distributions II		   MAT 3644 (14)
Continuum Mechanics
MAT 3647 (14)
Numerical Analysis III
MAT3648 (14)
Mathematical Modelling II
Total credits=122 Total credits = 120 Total credits = 126

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4. BACHELFOR OF SCIENCE IN CHEMISTRY AND MATHEMATICS: BSCCM

Year 1 (NQF level 5)

 Year 2 (NQF level 6) Year 3 (NQF level 7)
Semester 1 Semester 2 Semester 1 Semester 2 Semester 1 Semester 2

CHE1540 (16)
General Chemistry
MAT1541 (8)
Differential Calculus
MAT1542 (8)
Mathematics Foundation I
PHY1521 (8)
Mechanics
PHY1522 (8)
Waves and Optics
ECS1541 (10)
English Communication Skills
COM0510 or COM0610 (4)
Computer Literacy

CHE1621 (8)
Inorganic Chemistry I
CHE1622 (8)
Organic Chemistry I
MAT1641 (8)
Integral Calculus
MAT1642 (8)
Mathematics Foundation II
PHY1623 (8)
Properties of Matter, Thermal Physics
PHY1624 (8)
Electricity and Magnetism
ECS1645 (10)
English Communication Skills

CHE2521 (10)
Inorganic Chemistry II
CHE2522 (10)
Organic Chemistry II
MAT2541 (10)
Linear Algebra
MAT2542 (10)
Multivariable Calculus

CHE2620 (10)
Analytical Chemistry
CHE2623 (10)
Physical Chemistry I
MAT2641 (10)
Real Analysis I
MAT2642 (10)
Ordinary Differential Equations I

CHE3520 (14)
Analytical Chemistry: Instrumental Techniques
CHE3523 (14)
Physical Chemistry II
MAT3541 (14)
Real Analysis II
MAT3542 (14)
Group Theory

CHE3621 (14)
Inorganic Chemistry III
CHE3622 (14)
Organic Chemistry III
MAT3641 (14)
Complex Analysis
MAT3648 (14)
Mathematical Modelling II
16 credits taken from: 40 credits taken from: 14 credits taken from:

BIO1541 (16)
Diversity of Life
BIO1542  (16)
Cell Biology
COM1721 (16)
Object Oriented Programming
STA1541  (8)
Introduction to Statistics

STA1641 (8)
Elementary Statistical Method I
MAT1647 (8)
Numerical Analysis I
BIO1643  (16)
Ecology, Adaptation and Evolution

COM2523 (10)
Imperative Programming
COM2528 (10)
Artificial Intelligence Fundamentals
COM2529 (10)
Database Fundamentals
PHY2521 (10)
Classical Mechanics
PHY2522 (10)
Waves and Optics

COM2616 (10)
Reasoning about Programs
COM2629 (10)
Systems Analysis
PHY2623 (10)
Electrodynamics
PHY2624 (10)
Modern Physics
MAT2647 (10)
Numerical Analysis II

MAT3547 (14)
Partial Differential Equations

MAT3642 (14)
Rings and Fields

MAT3647 (14)
Numerical Analysis III
Total credits = 126 Total credits = 120 Total credits = 126

To look at the detailed course content for undergraduate studies please click here.

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5. HONOURS DEGREE IN MATHEMATICS OR APPLIED MATHEMATICS

Package 1 (Applied Mathematics) NQF level 8 Package 2 (Pure Mathematics) NQF level  8 Package 3 (Pure Mathematics) NQF level 8
Semester 1 Semester 2 Semester 1 Semester 2 Semester 1 Semester 2

MAT 5530 Numerical Solution of ODE
MAT 5549
Partial differential Equations

MAT 5630
Numerical Solution for Partial Differential Equations
 

MAT 5534 Algebra I
MAT 5537 Measure and Integration Theory

MAT 5632 General Topology
MAT  5636 Algebra II

MAT5538 Number Theory I
MAT 5544 Combinatorics I

MAT 5650 Number Theory II
MAT 5644 Combinatorics II
 MAT 5701   Project MAT 5701 Project  MAT 5701 Project
 Three of the following:  Two of the following:  Two of the following:

MAT 5533 Calculus of Variations
MAT 5540 Matrix Analysis
MAT 5537 Measure and Integration Theory
MAT 5541 Stochastic Differential Equations
MAT 5543  Fluid Mechanics
MAT 5532 Functional Analysis
STA 5541 Advanced Probability Theory

MAT 5646 Topics in Stability and Optimization
MAT 5633 Integral Equations
MAT 5641 Financial Mathematics
STA  5644 Stochastic processes
MAT 5653 Control Theory
MAT 5643 Graph Theory

MAT 5540 Matrix Analysis
MAT 5536 Complex Analysis
MAT 5532 Functional Analysis
MAT 5538 Number Theory I
MAT 5533 Calculus Of Variations

 

MAT 5650 Number Theory II
3

MAT 5536 Complex Analysis
MAT 5534 Algebra I
MAT 5551 Theory of Computer Algebra
MAT 5552 Partition Theory  I
MAT5540
Matrix Analysis

MAT 5643 Graph Theory
MAT 5652
Partition Theory II
Total credits=150  Total credits =150 Total credits =150

To look at the detailed course content for honours studies please click here.

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