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About the Department
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 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.
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.
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
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
 Mathematics as a major taken with Applied Mathematics or Physics or Computer Science or Statistics or Chemistry
 Financial Mathematics as a major taken with Statistics
# Modules leading to higher qualifications.
Undergraduate Programme
Modules
 BACHELOR OF SCIENCE IN MATHEMATICS AND APPLIED MATHEMATICS: BSCMAM
 BACHELOR OF SCIENCE IN MATHEMATICS AND STATISTICS: BSCMST
 BACHELOR OF SCIENCE IN MATHEMATICS AND PHYSICS: BSCMP
 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 minidissertation:
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 fulltime students and two calendar years for parttime students. The maximum period of study for fulltime students is two years whilst the maximum period of study for parttime 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.
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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) 
MAT 1646 (8) Mechanics I 
MAT 2548 (10) Mathematical Modelling I 
COM2616 (10) 
14 credits from: 
14 credits from: 

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) 
CHE1621 (8) 
CHE2521 (10) 
CHE2620 (10) 
CHE3520 (14) 
CHE3621 (14) 
16 credits taken from:  40 credits taken from:  14 credits taken from:  
BIO1541 (16) 
STA1641 (8) 
COM2523 (10) 
COM2616 (10) 
MAT3547 (14) 
MAT3642 (14) MAT3647 (14) 
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 5630 
MAT 5534 Algebra I 
MAT 5632 General Topology 
MAT5538 Number Theory I 
MAT 5650 Number Theory 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 5646 Topics in Stability and Optimization 
MAT 5540 Matrix Analysis 
MAT 5650 Number Theory II 
MAT 5536 Complex Analysis 
MAT 5643 Graph Theory 
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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Joe Hlomuka
Advances in differential equations and control processes , Vol. 10/1;pp.4355.
Pushpa Publishing House(2012): Allahabad, India
Far East Journal of Applied Mathematics, Vol. 60/2;pp.7385
Pushpa Publishing House(2011); Allahabad,India
Advances in Differential Equations and Control Processes, Vol.7/1, pp.6576.
Pushpa Publishing House(2011): Allahabad, India
Far East Journal of Applied Mathematics, Vol. 52/1;pp. 1325
Pushpa Publishing House(2011): Allahabad, India
Far East Journal of Applied Mathematics, Vol. 40/2;pp.153163
Pushpa Publishing House(2010): Allahabad,India
International Journal of Mathematical Models and Methods in Applied Sciences, Vol. 1/4; pp.922.
North Atlantic University Union (2010)
Far East Journal of Applied Mathematics, Vol. 37/3;pp.261281
Pushpa Publishing House(2009): Allahabad,India
Far East Journal of Applied Mathematics; Vol. 29/1, pp. 85112
Pushpa Publishing House (2007):Allahabad
Far East Journal of Applied Mathematics; Vol. 28/2, pp. 283296.
Pushpa Publishing House (2007): Allahabad
Far East Journal of Applied Mathematics; Vol. 28/1, pp.1736.
Pushpa Publishing House (2007):Allahabad
International Journal of Nonlinear Operators Theory and Applications; Vol. 1/1; pp. 1733.
Serials Publications(2006): New Delhi
International Journal of Nonlinear Operators Theory and Applications; Vol. 1/1;pp. 115.
Serials Publications(2006): New Delhi
International Journal of Nonlinear Sciences and Numerical Simulation ; Vol. 7/2;pp.149154
Freund Publishing House, Ltd (2006): Tel Aviv
Applied Mathematics and Computation; Vol. 163/2;pp.693703,
Elsevier Science, Inc.(2005): New York
Applied Mathematics and Computation;Vol. 158;Issue 3, pp.717727,
Elsevier Science,Inc.(2004): New York
NavierStokes equations: Theory and numerical methods, Ed. R. Salvi;
Marcel Dekker, Inc., New York, Basel.(2001),pp.3343
Stanford Shateyi
 S.S Motsa, S. Shateyi and P. Sibanda, “Homotopy analysis of heat and mass transfer boundary layer flow through a nonporous 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, S. Shateyi and P. Sibanda, “A model of steady viscous flow of a micropolar fluid driven by injection or suction between a porous disk and a nonporous disk using a novel numerical technique Published Online: Aug 4 2010 5:15PM DOI: 10.1002/cjce.20366 Canadian Journal of Chemical Engineering.
 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. Shateyi and 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 and S. Shateyi, A new spectralhomotopy analysis method for the MHD JefferyHamel problem, Computers and Fluids, (2010), doi: 10.1016/j.compfluid.2010.03.004.
 S.S Motsa, and S. Shateyi Analytical solution of nonlinear Batch reaction kinetics equations, ANIZIAM Journal , 51, E, E37E56, 2010.
 S.S Motsa, P. Sibanda and S. Shateyi, “A new spectralhomotopy analysis method for solving a nonlinear second order BVP, Communications. in Nonlinear Science and Numerical Simulation, Volume 15, (2010), 22932302.
 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 1729.
 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.
 S. Shateyi, P. Sibanda and S S. Motsa, “Convection from a stretching surface with suction and powerlaw 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 semiinfinite 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 in heated slow reactive boundary layer flows”, Journal of Applied Mathematics, Volume 2008, doi.10.1155/2008/835380.
 S Shateyi, P. Sibanda and S S. Motsa, “Inviscid instability analysis of a reactive boundarylayer flow,” JP Journal of Heat and Mass Transfer Vol. 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, “Asymptotic and numerical analysis of convection in boundary layer flow in the presence of a chemical reaction,” Archives of Mechanics. Volume 57, Issue 1, (2005) 2541.
 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,” , (2004), Volume 56, Issue 4, 293311.
 S Shateyi, 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), (2002), E55E81.
S. Moyo
Unpublished Papers
1. S. Moyo. Numerical simulations of the free surface elevations due to impulsive motion of a submerged circular cylinder.
The following is a list of staff members in the Department of Mathematics and Applied Mathematics:
Designation  Name  Contacts 

HOD  Dr S Moyo 
Tel.: +2715962 8446 Email: smoyo@univen.ac.za 
Lecturer  W Garira 
Tel.: +2715962 8233 Email: Winston.Garira@univen.ac.za 
Lecturer  Dr S Shateyi 
Tel.: +2715962 8163 Email: Stanford.Shateyi@univen.ac.za 
Lecturer  Dr NS Mavhungu 
Tel.: +2715962 8175 Email: mavhungus@univen.ac.za 
Lecturer  MA Luruli 
Tel.: +2715962 8129 Email: lurulim@univen.ac.za 
Lecturer  NS FS Netshapala 
Tel.: +2715962 8083 Email: snetshap@univen.ac.za 
Lecturer  RM Mukhodobwane 
Tel.: +2715962 8225 Email: Rosinah.Mukhodobwane@univen.ac.za 
Lecturer  VJ Hlomuka 
Tel.: +27159628263 Email:joe.hlomuka@univen.ac.za 
Lecturer  BP Ntsime 
Tel.: +2715962 8230 Email : Pauline.ntsime@univen.ac.za 
Lecturer  V Makhoshi 
Tel.: +2715962 8225 Email: vuledzani.makhoshi@univen.ac.za 
Lecturer  AD Maphiri 
Contact: 2715962 8083 Email: Azwindini.Maphiri@univen.ac.za 
Lecturer  A Manthada 
Cell: +2772466251 Email: Avhatakali.Manthada@univen.ac.za 