Schools Menu

Vision

To strive to contribute to the scientific, technological and social upliftment of the communities that the university serves.

Mission

The Department of Mathematics and Applied Mathematics commits itself to participate in the university’s learning and teaching programmes through rendering the following services:

  • relevant mathematics programmes that conform with its vision in line with the vision of the university
  • enabling, and caring learning and teaching environment to students from diverse backgrounds
  • development of a culture that cultivates and promotes intellectual curiosity and a diversity of ideas
  • mathematical based research and knowledge development guided by quality and vigour
  • community development programmes.

Mandate

  1. The Department of Mathematics and Applied Mathematics has been entrusted with the crucial task of training students from disadvantaged communities in mathematics and its applications.
  2. The Department endeavours to initiate and pursue research activities of national and international significance.
  3. The Department endeavours to initiate and participate in interdisciplinary research in identified niche areas for enrichment of postgraduate training.

Overview

Mathematics can be described as a science that studies quantitative relationships and space formations in the world we live in. The basic concepts of mathematics needed for describing natural processes are premised on the concept of a number and that of a function. Over many years mathematics has evolved and split mainly into two identifiable areas of pure mathematics and applied mathematics. The department specializes in both areas and hence its name is derived from this understanding. Today, mathematics is used as a useful tool in many fields throughout the world which include engineering, natural sciences, medicine and social sciences. The department endeavours to train students in mathematics and its applications.

The department offers a variety of courses in pure and applied mathematics that run concurrently with other courses either in physics or chemistry or statistics or computer science to form learning programmes. The department also offers post graduate training in pure and applied mathematics at Honours, Masters and PhD levels, and service mathematics to other schools of the university. The research interests for the staff and post graduate students in the department are in the areas of number theory, algebra, graph theory, fluid mechanics, differential equations, financial mathematics and epidemiological modeling.


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
  5. BACHELFOR OF SCIENCE IN COMPUTERBSCIENCE 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.

Back to top

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

Back to top

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

Back to top

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

Back to top

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.

Back to top

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.

Back to top

Joe Hlomuka

  1. (with) MAPHIRI,A:On the Lefschetz direct stability criterion for an Implicit evolution problem, with a dynamic boundary condition
    Advances in differential equations and control processes , Vol. 10/1;pp.43-55.
    Pushpa Publishing House(2012): Allahabad, India
  2. Existence and uniqueness for the 'weak' solution to the radiative cooling problem for a 3-D anisotropic solid, by using trace-like operators.
    Far East Journal of Applied Mathematics, Vol. 60/2;pp.73-85
    Pushpa Publishing House(2011); Allahabad,India
  3. (with) MAKHABANE,P.S.: On the direct Lefschetz stability criterion for a system of non-homogeneous linear first order ODEs, with variable coefficients.
    Advances in Differential Equations and Control Processes, Vol.7/1, pp.65-76.
    Pushpa Publishing House(2011): Allahabad, India
  4. On the numerical scheme for the approximation of the solution to the Sixth problem of the millennium.
    Far East Journal of Applied Mathematics, Vol. 52/1;pp. 13-25
    Pushpa Publishing House(2011): Allahabad, India
  5. On the existence and uniqueness of the 'weak' solution to the sixth problem of the millennium.
    Far East Journal of Applied Mathematics, Vol. 40/2;pp.153-163
    Pushpa Publishing House(2010): Allahabad,India
  6. Analysis of a finite difference scheme for a slow, 3-D permeable boundary, Navier-Stokes flow.
    International Journal of Mathematical Models and Methods in Applied Sciences, Vol. 1/4; pp.9-22.
    North Atlantic University Union (2010)
  7. Existence and uniqueness for the 'weak' solution to the non-stationary, nonlinear permeable boundary Navier-Stokes flows, using trace-like operators.
    Far East Journal of Applied Mathematics, Vol. 37/3;pp.261-281
    Pushpa Publishing House(2009): Allahabad,India
  8. The finite element algorithm for the nonlinear radiative cooling of a 2-D isotropic solid.
    Far East Journal of Applied Mathematics; Vol. 29/1, pp. 85-112
    Pushpa Publishing House (2007):Allahabad
  9. (with ) MACOZOMA, M. : On the stability of a finite difference scheme for an evolution problem, based on a system of nonlinear ordinary differential equations.
    Far East Journal of Applied Mathematics; Vol. 28/2, pp. 283-296.
    Pushpa Publishing House (2007): Allahabad
  10. The Sobolev-Lyapunov instability associated with the use of the Stefan-Boltzman law, for an isotropic 3-D solid.
    Far East Journal of Applied Mathematics; Vol. 28/1, pp.17-36.
    Pushpa Publishing House (2007):Allahabad
  11. The existence and uniqueness of the solution to the stationary permeable boundary Navier-Stokes flows, using trace-related canonical operators
    International Journal of Nonlinear Operators Theory and Applications; Vol. 1/1; pp. 17-33.
    Serials Publications(2006): New Delhi
  12. Solvability conditions for the nonlinear, non-stationary problem of the permeable boundary Navier-Stokes flows.
    International Journal of Nonlinear Operators Theory and Applications; Vol. 1/1;pp. 1-15.
    Serials Publications(2006): New Delhi
  13. On the finite difference scheme for a non-linear evolution problem, with a non-linear dynamic boundary condition.
    International Journal of Nonlinear Sciences and Numerical Simulation ; Vol. 7/2;pp.149-154
    Freund Publishing House, Ltd (2006): Tel Aviv
  14. On the existence, uniqueness and the stability of a solution to a cooling problem, for an isotropic 3-D solid.
    Applied Mathematics and Computation; Vol. 163/2;pp.693-703,
    Elsevier Science, Inc.(2005): New York
  15. The linearized non-stationary problem for the permeable boundary Navier –Stokes flows: In:
    Applied Mathematics and Computation;Vol. 158;Issue 3, pp.717-727,
    Elsevier Science,Inc.(2004): New York
  16. (with) SAUER,N: Stability of Navier-Stokes flows through permeable boundaries. In:
    Navier-Stokes equations: Theory and numerical methods, Ed. R. Salvi;
    Marcel Dekker, Inc., New York, Basel.(2001),pp.33-43

Stanford Shateyi

Stanford Shateyi
Position : Associate Professor and HOD Science Foundation
Nationality : Zimbabwean
Phone : +2773 57 36 744
: +27 15 9628163 (W)
Email : stanford.shateyi@univen.ac.za
: sshateyi@yahoo.com

 

Year Attended From To Academic Qualification Course of study Institution
2002 - 2008 DPhil (Part Time)Applied Mathematics, University of Zimbabwe.
1999 - 2001M.Sc Applied Mathematics, University of Zimbabwe.
1994 - 1997B.Sc. (Hons) Applied MathematicsNUST, Zimbabwe.

Publications

  1. S. Shateyi, S. S. Motsa and Y. Khan, A new piecewise spectral homotopy analysis of the Michaelis-Menten enzymatic reactions model, accepted for publication in Numerical Algorithms.
  2. S. Shateyi, A new numerical approach for MHD flow of a Maxwell fluid past a vertical stretching sheet in the presence of thermophoresis and chemical reaction, accepted for publication in Boundary Value Problems.
  3. S. Shateyi, and G. Marewo, A new numerical approach of MHD flow, heat and mass transfer for the UCM fluid over a stretching surface in the presence of thermal radiation, accepted for publication in the journal, Mathematical Problems in Engineering} (Special issue:New Developments in Fluid Mechanics and Its Engineering Applications), Volume 2013.
  4. S.S. Motsa, Z. Makukula, S. Shateyi, Spectral local linearisation approach for natural convection boundary layer flow, Mathematical Problems in Engineering, (Special issue:New Developments in Fluid Mechanics and Its Engineering Applications) Volume 2013
  5. S. Shateyiand , O. D. Makinde, Hydromagnetic stagnation point flow towards a radially stretching convectively heated disk, Volume 2013, 1-8, http://dx.doi.org/10.1155/2013/616947, Mathematical Problems in Engineering.
  6. S.S. Motsa, O. D. Makinde and S. Shateyi, On the successive linearisation approach to flow of reactive third-grade liquid in a channel with isothermal walls, Volume 2013,1-7, http://dx.doi.org/10.1155/2013/635392,Journal Mathematical Problems in Engineering.
  7. EmranTohidi, Khalil Erfani, MortazaGachpazan and Stanford Shateyi, A new Tau Method for Solving Nonlinear Lane-Emden Type Equations via Bernoulli Operational Matrix of Differentiation, Volume 2013, 1- 9, http://dx.doi.org/10.1155/2013/850170, Journal of Applied Mathematics
  8. K Muzhinji ,S. Shateyiand S. S. Motsa, The mixedfinite element preconditioned conjugate gradient-Uzawamethod for Stokes equations, accepted for publication in Far East Journal of Applied Mathematics.
  9. FarahnazSoleimani, FazlollahSoleymani and Stanford Shateyi, Some iterative methods free from derivatives and their basins of attraction, Volume 2013, Article ID 301718, 1-11, http://dx.doi.org/10.1155/2013/301718, Journal of Discrete Dynamics in Nature and Society.
  10. S. H Nik, S. Effati, S. S. Motsa and S. Shateyi, A new piecewise-spectral homotopy analysis method for solving chaotic systems of initial value problems, Volume 2013, Article ID 583193, 1-13, http://dx.doi.org/10.1155/2013/583193, Mathematical Problems in Engineering.
  11. E.Tohidi, F. Soleymani and S.Shateyi A collocation method based on Bernoulli operational matrix for solving high order linear complex differential equations in a rectangular domain, Volume 2013, Article ID 823098, 1-12; http://dx.doi.org/10.1155/2013/823098, Abstract and Applied Analysis.
  12. H. Saberi-Nik and S. Shateyi,Application of optimal HAM for finding feedback control of optimal control problems, Volume 2013, Article ID 914741, 1-10 http://dx.doi.org/10.1155/2013/914741, MathematicalProblems in Engineering
  13. F. Soleymani, S. Shateyi and H. Salmani, Computing simple roots by an optimal Sixteenth-order class, Volume 2012, 1-13, doi:10.1155/2012/958020,Journal of AppliedMathematics.
  14. F. Soleymani, andS. Shateyi, Two Optimal Eighth-Order Derivative-Free Classes of Iterative Methods, Volume 2012, 1-14, doi:10.1155/2012/318165,Abstract and Applied Analysis.
  15. H. Montazeri, F. Soleymani, E. Tohidi, S. Shateyi, S.S. Motsa, On a New Method for Computing the Numerical Solutionof Systems of Nonlinear Equations, Volume 2012, 15 pages, doi:10.1155/2012/751975,Journal of Applied Mathematics.
  16. F. Soleymani, D.K.R. Babajee, S. Shateyi, S.S. Motsa, Construction of optimal derivative-free techniques, without memory, Volume 2012, 1-24, doi:10.1155/2012/497023, Journal of Applied Mathematics.
  17. S. S. Motsa, Y. Khan, and S. Shateyi, A New Numerical Solution of Maxwell Fluid over a shrinking Sheet in the Region of a Stagnation Point,Volume, 2012,1-11, doi:10.1155/2012/290615, Mathematical Problems in Engineering.
  18. S. S. Motsa, Y. Khan, and S. Shateyi, Application of Piecewise SuccessiveLinearization Method for the Solutions ofthe Chen Chaotic System, Volume 2012, 1-12, doi:10.1155/2012/258948, Journal of Applied Mathematics.
  19. S. S Motsa and S. Shateyi, Successive linearization analysis of the effects of partial slip andthermal-diffusion and diffusion-thermo on steady MHD convectiveflow due to a rotating disk, Volume 2012 (2012), Article ID 397637, 15 pages doi:10.1155/2012/397637Mathematical Problems in Engineering.
  20. S. S Motsa and S. Shateyi, A successive linearization method approach to solving Lane-Emdentype of equations, Volume 2012, 1- 15, doi:10.1155/2012/280702,MathematicalProblems in Engineering.
  21. S. S Motsa and S. Shateyi, "New analytic solution to the Lane-Emden equation of index 2", Volume 2012,1-20, doi:10.1155/2012/614796Mathematical Problems in Engineering.
  22. S. S Motsa and S. Shateyi, "The effects of chemical reaction, Hall and ion-slip currents on MHD micropolar fluid flow with thermal diffusivity using a novel numericaltechnique", Volume 2012 (2012), 1-30, Journal of Applied Mathematics.
  23. S.S. Motsa, S. Shateyi, G.T.Marewo, P.Sibanda (2012), An improved spectral homotopy analysis method for MHD flow in a semi-porous channel,60:463–481 NumericalAlgorithms.
  24. S. S Motsa and S. Shateyi, Successive Linearisation Analysis of Unsteady Heat and Mass Transfer From a StretchingSurface Embedded in a Porous Medium WithSuction/Injection and Thermal RadiationEffects, 90:1323–1335, 2012, The Canadian Journal of Chemical Engineering.
  25. Z. G. Makukula,P. Sibanda,S. S. Motsa,and S. Shateyi, "On New Numerical Techniques for the MHD Flow Past a Shrinking Sheet with Heat and Mass Transfer in the Presence of a Chemical Reaction", Volume 2011, 19 pages, Mathematical Problems in Engineering.
  26. SShateyi "Influence of a magnetic field on heat and mass transfer by mixed convection from vertical stretching surfaces with Hall and Radiation effects", 5(2), 2011, 67-82, International Journal of Numerical Methods and Applications.
  27. S. Shateyi, and S. S Motsa, "Homotopyanalysis of MHD steady flow in a channel with slip at the permeable boundaries", 54(2), 2011, 81-94, Far East Journal of Applied Mathematics.
  28. S.SMotsa, G. Marewo, P. Sibanda, and S. Shateyi, "An improved spectral homotopy analysis method for solving boundary layer problems" Volume 2011(3), Boundary Value Problems.
  29. S.S. Motsa, P. Sibanda, S. Shateyi, "On a new quasi-linearization method for systems onnonlinear boundary value problems," 34(11), 1406-1413, Mathematical Methods in the Applied Science.
  30. S. Shateyi, and S. S Motsa, "Boundary layer flow and double diffusion over an unsteady stretching surface with Hall effect", 198:1545–1565, 2011, Chemical Engineering Communications.
  31. S.S Motsa, P. Sibanda, G. Marewo and S. Shateyi, "A note on improved in homotopy analysis method for solving the Jeffery-Hamel flow," Volume 2010, Article ID 359297, 11 pages doi:10.1155/2010/359297 Mathematical Problems in Engineering.
  32. S.SMotsa,and S. Shateyi ,"A new approach for the solution of three-dimensionalmagnetohydrodynamic rotating flow over a shrinking sheet", Volume 2010, 15 pages doi:10.1155/2010/586340Mathematical Problems in Engineering.
  33. S. Shateyi, and S. S Motsa, "Hydromagnetic non-Darcy flow, heat and mass transferover a stretching sheet in the presence of thermal radiation and Ohmic dissipation" 89:1388–1400, 2011, DOI 10.1002/cjce.20499, The Canadian Journal of Chemical Engineering.
  34. S. S Motsa, S Shateyiand Z Makukula, "Homotopy analysis of free convection boundary layer flow with heat and masstransfer", 198:783-795,doi:10.1080/00986445.2011.534011, Chemical Engineering Communications.
  35. S. Shateyiand S. S. Motsa, "Variable Viscosity on Magnetohydrodynamic Fluid Flow and Heat Transfer over an Unsteady Stretching Surface with Hall Effect". Volume 2010, Article ID 257568, 20 pages, doi:10.1155/2010/257568, Boundary Value Problems.
  36. S.S. Motsa, P. Sibanda, F.G. Awad, S. Shateyi," A new spectral-homotopy analysis method for the MHD Jeffery-Hamel problem,"Computers and Fluids,15 (2010) ,2293– 2302.
  37. S. Shateyi, S.S Motsa and Sibanda, "The effects of thermal radiation, Hall currents, Soret and Dufour on MHD flow by mixed convection over a vertical surface in porous media,"Volume 2010, Article ID 627475, 20 pages, Journal of Mathematical Problems in Engineering.
  38. S.SMotsa,and S. Shateyi"Analytical solution of nonlinear Batch reactionkinetics equations,"ANIZIAM J, 51, E, E37-E56, 2010.
  39. S.S Motsa, S. Shateyiand P. Sibanda, "A model of steady viscous flow of a micropolar fluid driven by injection or suction between a porous disk and a non-porous disk using a novel numerical technique Published Online: Aug 4 2010 5:15PMDOI: 10.1002/cjce.20366 Canadian Journal of Chemical Engineering .
  40. S.S Motsa, S. Shateyiand P. Sibanda, "Homotopy analysis of heat and mass transfer boundary layer flow through a non-porous channel with chemical reaction and heat generation,"Published Online:Aug 4 2010 DOI: 10.1002/cjce.20368 Canadian Journal of Chemical Engineering.
  41. S.S Motsa, P. Sibanda and S. Shateyi, "A new spectral-homotopy analysis method for solving a nonlinear second order BVP, Communications.in Nonlinear Science and Numerical Simulation, Volume 15, (2010), 2293-2302.
  42. S. Shateyi and S. S Motsa "Thermal radiation effects on heat and mass transfer over an unsteady stretching surface," Volume 2009, : Mathematical Problems in Engineering.doi.10.1155/2009/965603.
  43. S. S Motsa and S. Shateyi"Approximate Series Solution of Natural Convection Flow in the presence of radiation," Journal of Advanced Research in Applied Mathematics, 2010, Volume 2, Issue1, pp 17-29.
  44. S. Shateyi, P. Sibanda and S S. Motsa, "Convection from a stretching surface with suction and power-law variation in species" Journal of Heat and Mass Transfer, Volume 45, Number8/June 2009.
  45. S. Shateyi, "Thermal radiation and buoyancy effects on heat and mass transfer over a semi-infinite stretching surface with suction and blowing", Journal of Applied Mathematics Volume 2008, doi.10.1155/2008/ 414830.
  46. S Shateyi, P. Sibanda and S S. Motsa, "On the asymptotic approach to thermosolutal convection inheated slow reactive boundary layer flows", Journal of Applied Mathematics, Volume 2008, doi.10.1155/2008/835380.
  47. SShateyi, P. Sibanda and S S. Motsa, "Inviscid instability analysis of a reactive boundary-layer flow," JP Journal of Heat and Mass TransferVol. 2 No. 2 pp 117 – 133, 2008
  48. S Shateyi, P. Sibanda and S S. Motsa, "Magnetohydrodynamic flow past a vertical plate with radiative heat transfer". Journal of Heat transfer, Volume 129, pp 1708 – 1713, 2007.
  49. S Shateyi, P. Sibanda and S S. Motsa, "An asymptotic analysis of convection in boundary layer flow in the presence of a chemical reaction," Archives of Mechanics. Volume 57, Issue 1, pp 25-41, 2005.
  50. S S. Motsa, P. Sibanda and S Shateyi, "Linear stability of two dimensional flow subject to three dimensional perturbations in a channel with a flexible wall. Archives of Mechanics," Volume 56, Issue 4, pp 293-311, 2004.
  51. SShateyi, P. Sibanda and S S. Motsa, "Three dimensional stability of heated or cooled accelerating boundary layer flows over a compliant boundary. ANZIAM J. 44(E) PPE55-E81, 2002

Book Chapters

  1. S. ShateyiandS. S Motsa,Successive LinearizationSuccessive Linearization of Heat and Mass Transfer overran Unsteady Stretching Permeable Surface in the Presence of Thermal Radiation and a Variable Chemical Reaction, Mass Transfer-Advances in Sustainable Energy and Environment Oriented Numerical Modeling, 89-105, ISBN 978-953-51-1170-2, (2013).
  2. S. Motsa and S. Shateyi,  Numerical Analysis of Mixed Convection Magnetohydrodynamic   Heat and Mass Transfer past a Stretching Surface in a Micro-Polar Fluid-Saturated Porous Medium under the influence of Ohmic Heating, 145-162, ISBN 978-953-51-1170-2, (2013).
  3. S. Motsa and S. Shateyi,  On New High Order Iterative Schemes for solving Initial Value Problems In Epidemiology, Numerical Simulation From Theory to Industry, 67-78, IBSN 978-953-51-0749-1, (2012).
  4.    S. Shateyi and S. S Motsa, Unsteady Magnetohydrodynamic Convective Heat and Mass Transfer Past an Infinite Vertical Plate in a Porous Medium with Thermal Radiation,Heat          Generation/Absorption and Chemical Reaction, Advanced Topics in Mass Transfer, 145-162,  ISBN 978-953-307-333-0, (2011)
  5. S. S Motsa and S. Shateyi,  “Successive Linearization Solution of Free Convection Non-Darcy Flow with Heat and Mass Transfer, Advanced Topics in Mass  Transfer, 425-438,  ISBN 978-953-307-333-0, (2011)
  6. S. Motsa and S. Shateyi,  Soret and Dufour Effects on Steady MHD Natural Convection Flow Past a Semi-Infinite Moving Vertical Plate in a Porous Medium with Viscous Dissipation in the Presence of a Chemical Reaction, Evaporation, Condensation and Heat Transfer, 325-346, ISBN 978-953-307-583-9, (2011)

CONFERENCE ARTICLES

  1. S.Shateyi  and G Marewo, A numerical analysis of MHD flow, heat and mass
    transfer for the UCM fluid over a stretching surfacewith thermal radiation, Fluid Mechanics Group Seminar, 14 June 2013, Botswana University, Botswana.
  2. S.Shateyi, Numerical analysis for MHD flow of a Maxwell fluid
    past a vertical stretching sheet in the presence of thermophoresis and chemical reaction, ICMSS2013, February 05-07, Kuala Lumpur, Malaysia.
  3. S. Shateyi, A new numerical analysis of MHD laminar boundary
    layer flow and heat transfer of nanofluids over moving surface in the presence of thermal radiation, ICANCM, Morioka City, Iwate, Japan, April 23-25, 2013.
  4. Hall effect analysis on boundary layer flow and double diffusion over an unsteady stretching surface,  2012 Spring World Congress on Engineering and Technology, 27-29 May 2012, Xian, China.
  5. Effects of chemical reaction and Soret effect on mixed heat and mass transfer for Hiemenz flow through porous media with heat source,  08-10 December 2011,  International Conference on Mechanical, Zhengzhou, China.
  6. The effects of chemical reaction, Hall and ion-slip currents on MHD micropolar fluid flow with thermal diffusivityusing a novel numerical technique, 27/11/2011-03/12/2011,Livingstone Conference, Zambia, SAMSA 2011.
  7. Successive linearization analysis of unsteady heat and mass transfer from a stretching surface embedded in a porous medium withsuction/injection and thermal radiation effects,  12 -15 July 2011,  GadjahMada University, Indonesia
  8. A new approach for the solution of three-dimensional magnetohydrodynamic rotating flow over a shrinking sheet, International Conference on Mathematics of Date    December 31, 2010 January 04, 2011 Allahabad, IndiaOrganized by Pushpa Publishing House.
  9. Hydromagnetic non-Darcy flow, heat and mass transfer over a stretching sheet in the presence ofthermal radiation and Ohmic dissipation, Southern Africa Mathematical Sciences Association (SAMSA 2010), Gaborone Conference,  Botswana.
  10.   Thermal radiation effects on heat and mass transfer over an  unsteady stretching surface, Southern Africa Mathematical Sciences Association  (SAMSA 2009), Dares Salam   Conference,  Tanzania.
  11. Influence of a magnetic field on heat and mass transfer by mixed convection from vertical stretching surfaces with Hall and Radiation effects ,WORKSHOP ON APPLICATION OF THE HOMOTOPY METHOD IN FLUID FLOW PROBLEMS, UKZN, PIETERMARITZBURG, 5 – 17 JULY 2009.
  12. Thermal radiation and buoyancy effects on heat and mass transfer  over a semi-infinite stretching surface with suction and blowing. Southern Africa Mathematical Sciences Association (SAMSA 2008), Maputo Conference, Mozambique.
  13. Influence of a magnetic field on heat and mass transfer by mixed convection from vertical surfaces considering Hall, Radiation, Soret and Dufour effects. Application of Spectral and Keller- Box Methods to Fluid Flow Problems Work Shop, July, 2008, University of KwaZulu-Natal, Pietermaritzburg, South Africa.
  14.  Hall effects on MHD free convection flow past a semi-infiniteVertical plate with radiative heat transfer,  Southern Africa Mathematical Sciences  Association (SAMSA 2006), Gaborone Conference, Botswana.
  15. Natural convection flow from a vertical permeable flat plate in the Presence of a Chemical Reaction.” Southern Africa Mathematical Sciences Association (SAMSA) 2005, Conference Blantyre, Malawi.

The following is a list of staff members in the Department of Mathematics and Applied Mathematics:

Designation Name Contacts
Vice Dean & HOD

Dr S Moyo
MSc(Moscow), PhD(Brunel- UK).
Teaching Areas: Partial Differential Equations, Ordinary Differential Equations, Fluid Mechanics, Numerical Analyisis
Research interests: Computational Fluid Mechanics, PDEs and Numerical Analysis

Tel.: +27-15-962 8940
E-mail: smoyo@univen.ac.za or simiso_moyo@yahoo.com
Professor

Prof W Garira
BSc(UZ), MSc(Bristol), PhD(London).
Teaching Areas: Mathematical modeling, Complex Analysis, Dynamical Systems, Vector Analysis, Differential and Integral Calculus
Research Interests: Bio-mathematics and Dynamical Systems

Tel.: +27-15-962 8233
E-mail: Winston.Garira@univen.ac.za
Associate Professor

Dr S Shateyi
Teaching Areas: Ordinary Differential equations, Numerical Analysis, Multivariable Calculus, Fluid Mechanics
Research Interests: Computational Fluid Dynamics and Numerical Methods

Tel.: +27-15-962 8163
E-mail: Stanford.Shateyi@univen.ac.za
Seniourn Lecturer

Dr NS Mavhungu
Teaching Areas: Rings and Fields, Algebra
Research Interests: Rings and Combinatorics

Tel.: +27-15-962 8175
E-mail: mavhungus@univen.ac.za
Lecturer

MA Luruli
BSc(Georgia State, USA), MSc(Clark Atlanta, USA).
Teaching Areas: Differential Equations, Topology, Matrix Analysis, Mathematical Modelling, Real Analysis
Research Interests: Differential Equations and Topology

Tel.: +27-15-962 8129
E-mail: lurulim@univen.ac.za
Lecturer

NS FS Netshapala
BSc(Ed), B.Sc(Hons)(Univen), MSc (Pret).
Teaching Areas: Graph Theory, Measure and Integration Theory, Mathematics Foundation, Linear Algebra, Differential and Integral Calculus
Research Interests: Graph Theory

Tel.: +27-15-962 8083
E-mail: snetshap@univen.ac.za
Lecturer

RM Mukhodobwane
BA(Hons) Univen, HED (Unisa), B.ED (Unisa), MSc (Univen)
Teaching Areas: Business Mathematics and Financial Mathematics
Research Interests: Financial Mathematics

Tel.: +27-15-962 8225
E-mail: Rosinah.Mukhodobwane@univen.ac.za
Lecturer

VJ Hlomuka
B.Sc(Hons) (Wits); M.Sc.(Pretoria), Dipl.In Datametrics(Operations research & Statistics) (Unisa), Ph.D.(Pretoria)(pending)
Teaching Areas: Numerical analysis, Functional analysis, Linear algebra, General topology.
Research Interests: Functional Analysis, Partial Differential Equations , Numerical Analysis(finite differences & finite element methods), Fluid dynamics, Radiative heat transfer, Stability in systems of nonlinear partial differential equations.

Tel.: +27-15-962-8263
E-mail:joe.hlomuka@univen.ac.za
Lecturer

NJ Netshiozwi
BSc, BSc Hons(Univen), PGDE, MSc (Univen), PDE ( Stellenbosch)
Teaching Areas: Linear Algebra, Numerical Analysis
Research Interests: Fluid dynamics and Numerical methods.

Tel.: +27-71 475 0033
Email : joyce.netshiozwi@univen.ac.za
Lecturer

V Makhoshi
Teaching Areas: Mathematics for Biology and Earth Sciences, Differential Equations, Differential and Integral Calculus
Research Interests: Spectral

Tel.: +27-15-962 8225
E-mail: vuledzani.makhoshi@univen.ac.za
Juniour Lecturer

AD Maphiri
BA, BSc Hons(Univen), PGDE
Teaching Areas: Service Mathematics
Research Interests: Ordinary Differential equations

Contact: 27-15-962 8083
E-mail: Azwindini.Maphiri@univen.ac.za
Lecturer

A Manthada
BSc, BSc Hons(Univen), PGDE
Teaching Areas: Service mathematics, Maths for planners, Integral calculus
Research Interests: Fluid dynamics and Numerical methods.

Cell: +27-72466251
E-mail: Avhatakali.Manthada@univen.ac.za