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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

  • 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.
  • The Department endeavours to initiate and pursue research activities of national and international significance.
  • 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. BACHELOR OF SCIENCE IN COMPUTER SCIENCE AND MATHEMATICS: BSCCOM


    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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The following is a list of publications and research done by staff members of the Department of Mathematics and Applied Mathematics:


Joe Hlomuka

PEER REFEREED JOURNAL RESEARCH PAPERS
    1.  On the Lefschetz stability criterion for linearized, incompressible boundary permeation Navier-Stokes flows (Accepted for the Conference:  The 2013 International Conference on Applied Mathematics and Computational Methods: Venice, Italy, 28-30, September, 2013)

     

    1. Numerical simulation for the solution to the 3D nonhomogeneous incompressible  Euler equations. Far East Journal of Applied Mathematics,Vol. 77/2; pp.137-146 Pushpa Publishing House(2013): Allahabad, India

     

    1. 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

    1. 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

     

    1. MAKHABANE,P.S.: On the direct Lefschetz stability criterion for a system of non-homogeneous linear first order ODEs, with variable coefficientsAdvances in Differential Equations and Control Processes, Vol.7/1, pp.65-76. Pushpa Publishing House(2011): Allahabad, India

    1. 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

     

    1. 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

    1. Analysis of a finite difference scheme for a slow, 3-D permeable boundary, Navier-Stokes flowInternational Journal of Mathematical Models and Methods in  Applied Sciences, Vol. 1/4; pp.9-22. North Atlantic University Union (2010)

     

    1. 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

    1.  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. 85-112Pushpa Publishing House (2007):Allahabad      

     

    1. 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
    1.     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

     

    1.  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

    1. 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

     

    1. 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

    1. 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

     

    1.  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

      •  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

 

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Stanford Shateyi

    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.


    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.


    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.


    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


    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.

    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.


    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


    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.


    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.


    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.

    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.

     

     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

     

     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.

     

    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.

     

    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.


     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.


    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.


    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.


    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.


    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.


    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.


    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.


    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.


    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.

     

    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.

     

    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.

     

    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. 

     

    S.SMotsa, G. Marewo, P. Sibanda, and S. Shateyi, “An improved spectral  homotopy analysis method for solving boundary layer problemsVolume 2011(3), Boundary Value Problems.

     

    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.

     

    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.

     

    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.

     

    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.

     

    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.

     

    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.

     

    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.

     

    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.

     

    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.

     

    S.SMotsa,and S. Shateyi“Analytical solution of nonlinear Batch  reactionkinetics equations,”ANIZIAM J, 51, E, E37-E56, 2010.

     

    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 .

     

    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.

     

    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.

     

    S. Shateyi and S. S MotsaThermal radiation effects on heat and mass transfer over an unsteady stretching surface,” Volume 2009, : Mathematical Problems in  Engineering.doi.10.1155/2009/965603.          

     

    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.

     

    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.

     

     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.

     

    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.

     

    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

     

    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.

     

     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.

     

    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.

     

    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

     

    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).

     

    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).

     

    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).

     

    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)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)

     

    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

    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.

     

    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.

     

    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.
    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.

     

    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.

     

    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.

     

    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


    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.


    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.


    Thermal radiation effects on heat and mass transfer over an  unsteady stretching surface, Southern Africa Mathematical Sciences Association  (SAMSA 2009), Dares Salam   Conference,  Tanzania.


    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.


    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.


    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.


    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.


    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.

 

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

Designation Name Contacts
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 8446
E-mail: smoyo@univen.ac.za
Lecturer

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
Lecturer

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
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.: +27-15-962
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: Classical Orthogonal Polynomials and Spectral Theory of Differential Equations

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