The Department of Mathematics is an off-shoot of the defunct Department of Mathematical Sciences which was established in 1983 as one of the foundation Departments of College of Natural Sciences of the then Federal University of Technology, Abeokuta (FUTAB). The Department was one of the Departments that survived the various transitions prior to the establishment of the University of Agriculture, Abeokuta in 1988.

The Department offers programmes leading to the award of Bachelor of Science, Master of Science and Doctor of Philosophy Degrees in Mathematics. The Department over the years has been able to produce good quality graduates who are now occupying various positions in the industries and academia. Many of our B.Sc. graduates have been offered various scholarships to pursue postgraduate Degrees in Europe and America.


9.3.2      Philosophy

             Mathematics is a subject of varied features ranging from intrinsic beauty to its usefulness with wide scope of applications in Science, Technology and Social Sciences. This Mathematics programme is designed for students who are interested in these features. The curriculum has been carefully planned to equip the students with a broad knowledge from various aspects of Mathematics. The curriculum has been carefully planned to assist the students to specialize  according to their own aptitude in Pure Mathematics or in the area of Applied Mathematics.


9.3.3      Objective of the programme

The main objective of the graduate programme in the Department is to equip the prospective research students with the essential tools they would need in discovering and solving mathematical problems. To this end, the course is designed to expose them to as much literature as possible in their chosen field, and to enable them to learn the techniques of problem solving through numerous academic interactions with more experienced members of the Department working in related fields. The area of interest in the Department include: Algebra (with sub-fields in Loop theory, non-associative algebra, Fuzzy sets, Neurosophic algebra and Bi-algebra), Real Analysis, Functional Analysis, Complex Analysis, Numerical Analysis, Optimization, Operations Research, Quantum Mechanics, Analytical Dynamics, Fluid Mechanics, Ordinary Differential Equations, Elasticity and Banach Algebras.


9.3.4      Departmental Postgraduate Programme

(i)      Masters

(ii)    Doctorate


9.3.4      Departmental Postgraduate Committee


(i)      The membership shall consists of all postgraduate academic staff with responsibilities in  the Departmental postgraduate programme.

(ii)    There shall be a co-ordinator appointed by the Head of Department

(iii)   The Head of Department shall be the Chairman.


(i)      To co-ordinate Postgraduate programme in the Department.

(ii)    To collaborate with operators of other degree programme.

(iii)   To present candidates for admission, award of grants, scholarships and fellowships and  the award of higher degrees and graduate diplomas to the College Postgraduate             Committee.

(iv)  To recommend External Examiners to the College Postgraduate Committee based on the advice of the Supervisory Committee.


9.3.5      General Admission Requirements

(A)          Masters programme

To be eligible for admission into the Masters Degree programme, candidates must be graduate of the University or any other University recognized by senate and shall normally have obtained a minimum of Second Class (Upper Division) degree in the relevant field. In exceptional cases, candidates with Second Class (Lower Division) may be considered.


(B)          Doctorate Programme

To be eligible for admission to the Doctor of Philosophy degree programme, a student must have obtained a Master’s degree from the University or its equivalent from any other University recognised by senate. For holders of one year degree Masters,  the minimum duration on the Ph.D programme shall be three years.


9.3.6      Duration of Programme

The Master degree shall be run on full-time or part-time basis. For full-time registration, the minimum duration shall normally be four semesters and maximum of eight semesters. For part-time registration, the minimum duration shall be eight semesters and maximum of twelve semesters, from the date of registration. Registration for the Doctor of Philosophy degree programme shall be on full-time or part-time basis. For full-time registration, the minimum duration shall normally be six semesters. For part-time registration, the minimum duration shall be eight semesters, from the date of registration.


9.3.7      Postgraduate Courses

Course Code

Course Title                        



Core Courses

MTS 801

Commutative Algebra



MTS 803

Functional Analysis



MTS 804

Partial Differential Equations



MTS 815

General Topology



MTS 817

Measure Theory and Integration



MTS 831

Mathematical Methods I



MTS 832

Mathematical Methods II



MTS 898




MTS 899




Electives for Pure Mathematics

MTS 802

Non-Associative Algebraic System



MTS 805

Ordinary Differential Equations



MTS 818

Commutative Banach Algebra



MTS 825

Fuzzy set I



MTS 826

Fuzzy set II



MTS 827

Advanced Group Theory



MTS 828

Neutrosophic Algebra I



MTS 829

Neutrosophic Algebra II



MTS 830

Bi-algebra I



MTS 835

Bi-algebra II



MTS 868

Nonlinear and Random Analytical Dynamics



MTS 869

Maximum Modulus Theorems



MTS 870

Univalent Functions and Conformal Mapping I



MTS 872

Univalent Functions and Conformal Mapping II



MTS 873

Value Distribution Theory



Electives for Applied Mathematics

MTS 851

Viscous Flow Theory      



MTS 852

Compressible flow Theory          



MTS 853

Fluid Mechanics I            



MTS 854

Fluid Mechanics II                           



MTS 855

Quantum Mechanics I



MTS 856

Quantum Mechanics II



MTS 857

Quantum Mechanics III



MTS 858

Quantum Mechanics IV



MTS 861

Numerical Analysis I



MTS 862

Numerical Analysis II                     



MTS 863

Numerical Analysis III                    



MTS 864

Numerical Analysis IV                    



MTS 865

Advanced Analytical Dynamics  



MTS 866

Methods of Applied Mathematics in Dynamics



MTS 867

Dynamics of Distribution Parameter System



MTS 868

Nonlinear and Random Analytical Dynamics



MTS 875

Introduction to Optimization     



MTS 876

Convexity & Optimization with Application



MTS 877

Mathematical Programming       



MTS 878

Combinatorial Optimization



MTS 885

Elasticity  I



MTS 886

Elasticity  II



MTS 887

Elasticity  III



MTS 888

Elasticity  IV



MTS 889

Fundamentals of Operations Research



MTS 890

Methodology, Modelling & Consulting Skills



MTS 891

Computing for Operations Research




9.3.8      Details of Courses


MTS 801 Commutative algebra  (3 units)

Rings and Modules of Fractions. Primary decompositions, Neotherian and Artin rings. Integra dependence. Valuations. Discrete valuation rings. Prufer domains and Dedekind domains. Dimension theory and completions, special topic.                                         


MTS 802 Non-Associative Algebraic System (3 units)                     

Quasi-groups and loops, Isotopy and homomorhism  theorems, normal sub-loops and subquasi group moufang and Bol loops. Arbitrary non-associative algebra. Alternative ring and algebra. Power-associative algebra. Malcev algebra.


MTS 803 Functional Analysis (3 units)                                                   

Banach spaces and their duals. Locally convex spaces. Weak and Weak* topologies for Banach spaces. Weak compactness in Banach spaces. Clasical Banach spaces. Local structure of Banach spaces. Infinite-dimensional geometry.


MTS 804 Partial Differential Equations (3 units)

Basic examples of linear partial differential equations and their fundamental equations and their fundamental solutions. Existence and regularity of solution (Local or Global) of Cauchy problems; boundary value problems and mixed boundary value problems. The fundamental solutions of their partial differential equations.


MTS 805 Ordinary Differential Equations (3 units)                                           

Topics to be chosen from the following: Existence and uniqueness of solution; linear system; non-singular boundary value problems; theory of periodic solution; suitability expansions perturbation theory; Poincare-Bendixson theory.


MTS 815 General Topology 1 (3 units)

Continuity, compactness, conceitedness, metrizability,                                                 


MTS 817 Measure Theory and Integration (3 units)

Abstract measures: algebrasand sigma-algebras, outer measures, Dynkin systems. Measurable and measure space: Definitions, examples and basic theorems. Integration: Measurable  functions, the measure theoretic integral, limit theorems, spaces. Signed and complex measures: Absolute continuity, the Randon-Nikodyn theorem, Harn and Lebesque decomposition. Product measures: Tonelli’s theorem, Fubini theorem, change of variables in  .


MTS 818 Commutative Banach Algebra (3 units)                              

Banach algebras:Definition, examples and elementary propertiesof the spectrum, spectral radius formula. Gelfand theory, the commutative Gelfand-Naimark theorem.Operator theory:spectral theorem for normed bounded operators,Fredlorm operators.C*-and Von Neuman algebras.


MTS 825 Fuzzy Sets I (3 units)

Introduction to fuzzy sets. Operations on fuzzy sets. Fuzzy extensions. Fuzzy relations. Special   topics in fuzzy sets.


MTS 826 Fuzzy Sets II (3 units)

Fuzzy groups. Fuzzy rings. Fuzzy algebras. Fuzzy vector spaces. Special topics in fuzzy algebraic structures.


MTS 827 Advanced Group Theory (3 units)

Theory of finite abelian and non-abelian groups. Special topics in Group Theory.


MTS 828 Neutrosophic Algebra I (3 units)

Introduction to neutrosophy. Neutrosophic logic. Fuzzy logic versus neutrosophic logic. Introduction to neutrosophic algebraic structures. Special topics in neutrosophy and neutrosophic logic.


MTS 829 Neutrosophic Algebra II (3 units)

Neutrosophic groups. Neutrosophic rings. Neutrosophic vector spaces. Special topics in Neutrosophic algebraic structures.


MTS 830 Bi Algebra I (3 units)            

Introduction to bi algebra. Bigroups. Birings. Bivector spaces.


MTS 831               Mathematical Method I (3 units)            

Revision of complex analysis. Many value functions and Riemann surfaces. Analytical continuation and asymptotic expansions. Ordinary differential equations with a large parameter. First order linear differential equations. General first order equations.  Second Order linear equations             


MTS 832               Mathematical Method II (3 units)

Calculus of Variation: Functionals. Geodesic curves, isoperimetric problems. Eulers equation and extension to higher derivatives and several dependent and independent variables.


MTS 835 Bi Algebra II (3 units)

Smarandache bi algebraic structures. Special topics in bi algebraic structures.


MTS 851 Viscous Flow Theory (3 units)

Navier-Stoke equation and exact solutions. Energy equation. Flow at small Peynold’s Number-Stokes and Oseens flows. Lubrication theory. Boundary layer theory. Approximate methods of solution. Unsteady boundary layer. Boundary layer separation and control                                                 

MTS 852 Compressible flow Theory (3 units)                                     

Surface phenomena. Centrifugal instability. Thermal instability on two-dimensional parallel flow as illustrated by Poiseuille flow between parallel plates. Kelvin – Helmoholtz instabilities. The development of turbulence from instability of waves in a boundary layer.


MTS 853 Fluid Mechanics I (3 units)

Flow Through small and large orifices. Torricelis Theorem. Flow through notches and weirs. Rectangular notch theory. Francis formular, Bazin and Rebibock formulae. V-notch theory. Cippoletti weir. Force exerted by a jet. Normal impact on single moving plate, series of flat plates, inclined and hanging plates. Inlet angle for no shock. Jet propulsion.


MTS 854 Fluid Mechanics II (3 units)

Pipe line problems. Single pipe connecting reservoirs. Pipes in series; parallel pipes. Single and parallel pipes in series. Three reservoir problems losses of energy in pipelines. Darcy formular, Chezy formular and Hazen Williams formula. Manning formula Transmission of power by pipeline.


MTS 855 Quantum Mechanics I (3 units)                                          

Fundamental Principles of Quantum Mechanics: Resume of classical mechanics axiomatic basis. Interpretative postulates simultaneous measurability of observable. Uncertainty principles. Different representations of staff vectors and observable. Introduction to group –theoretical ideas: groups of transformation. Rotation operations.  Invariants. Representation of groups.


MTS 856 Quantum Mechanics II (3 units)                                         

Exactly soluble bound state problems: rectangular potential wells, harmonic oscillators, system of two particles. Spherically symmetric potentials, the coulomb potentials, momentum wave functions. Systems of many particles: angular momenta, Pauli Principle.  


MTS 857 Quantum Mechanics III (3 units)                                         

Lennard-jones-Brill ouin-winger series expansion; time-dependent transient and persistent perturbations, and transitions, variation of constants, adiabatic approximation.  Collision processes elastic and inelastic scattering, by fixed centre of force; Bron approximation dependent approach, partial waves.


MTS 858      Quantum Mechanics IV (3 units)                                        

The variational method: Rayleigh-Ritz variational method, lower bounds for the ground-state eigenergy, method of moments. Asymptotic approximation method and applications. Introduction to relativistic theory of electron.


MTS 861 Numerical Analysis I (3 units)

Solution of algebraic equation; Direct methods for linear equation, orthogonal factorization, spare-matrix techniques. Markowitz criterion. Nested dissection, Applications. Solution of non-linear equation; one point iterative methods, Newton’s and Brain methods, convergence of these methods Multi-step iteration formulae, secant methods, gradient methods, Bracketing methods, convergence and stability of these methods, special methods; applications.


MTS 862               Numerical Analysis II (3 units)

Partial differential equation, classification, parabolic equation; solution techniques by explicit methods, Fourier stability methods, Matrix methods, stability and convergence analysis. Elliptic equation, solution techniques by finite difference methods, iterative method, ADI methods, Block iteration method. SOR methods, Convergency and stability of these methods. Hyperboloc equation, solution techniques by methods of  characteristics, Explicit method Hybrid methods, Hopscote methods convergence and stability analysis


MTS 863               Numerical Analyisis III (3 units)

Initial and Boundary value problem on O.D. Equations, Numerical approximation of solution, Higher order one step methods, Taylor series, R.K methods, convergence and stability of these methods Multi-step Methods, Adams-Moulton’s method. Predictor-corrector methods, stability of these methods. Topic in approximation, approximation by series, Rational approximation.


MTS 864               Numerical Analysis IV (3 units)

Weighted Residual method, allocation methods, orthogonal allocation, Ritz Galerkin methods, Nagume’s Lemma, Application; introduction to finite elements, applications.


MTS 865               Advanced Analytical Dynamics (3 units)

Principles of dynamics, strain energy, virtual work, variational principle. Lagrange’s equation  Discrete systems, eigenvalue problem, natural mode of vibration. Approximate methods for finding natural modes and frequencies.


MTS 866 Methods of Applied Mathematics in Dynamics (3 units)

In context of applications in dynamics; Regular and singlular perturbation theorory, method of matched asymptotic expansion, two timing (method of multiple scales) NKB approximation, Average methods.


MTS 867 Dynamics of Distributed –Parameter Systems (3 units)

Dynamics of continuous elastic systems  (including, strings, rods, beams, membranes and plates, formulation and solution of the boundary value problems), Rayleigh’s energy methods. Rayleigh-Ritz methods, Galerkin’s method.


MTS 868 Nonlinear and Random Analytical Dynamics (3 units)

Nonlinear systems: conservative  and nonconservative single-Degree of freedom systems. Continuous systems (including strings, beams and plates). Introduction to Random vibrations


MTS 869 Maximum Modulus Theorems (3 units)

The modulus of analytic functions, the maximum modulud theorem. Real and imaginary parts of analytic functions, with natural boundaries. The means values of (Z), Schwartz’s theorem ; vitalis theorem, montel’s theorem, Hadmand’s three-circle theorem. the borel-caratheday inequality. The phragmen – lindel of function. Applications.


MTS 870 Univalent Functions and Conformal Mapping  I (3 units)

Basic definition modulus and external lengths. The function 2 (f,u). Rouches theorem. Homomorphic functions and conformal mapping. Sequences of univalent functions. General coefficient theorem. Quadratic differentials – basic definitions. Differential geometric lemmas, fundamental inequality, Extended theorem.


MTS 872 Univalent Functions and Conformal Mapping  II (3 units)

Classes of univalent functions, Integral representations of classes of univalent functions. Applications of the General coefficient theorem, estimation  of the area of its image from above and below, Diameter theorems, Regions of values for functions in (D) and their derivatives and coefficients, starlikeness and its criterion.


MTS 873 Value Distribution Theory (3 units)

Meromorphic functions, Neralinna’s fundamental theorems. A – points of meromophic functions, entire functions, functions of finite order minimum modulus theorems, a – points of entire function.

MTS 875 Introduction to Optimization (3 units)

Introduces the principal algorithms for linear, network, discrete, nonlinear, dynamic and optimal control problems. Emphasis on methodology and the underlying mathematical structures. Topics include the simplex method, network flow methods, branch and bound and cutting plane methods for discrete optimization, Optimality conditions for non-linear optimization, interior point methods for convex optimization, Newton’s method, heuristic methods, dynamic programming and optimal control methods.


MTS 876 Convexity and Optimization with Applications (3 units)

Introduction to real and functional analysis through topics such as convex programming, duality theory, linear and non-linear programming, Calculus of variations; and the maximum principle of optimal control theory.


MTS 877 Mathematical Programming (3 units)

Introduction to linear optimization and its extensions emphasizing both methodology and the underlying mathematical structures and geometrical ideas. Covers classical theory of linear programming(LP) as well as some recent advances in the field. Topics: simplex method; duality theory; sensitivity analysis; network flow problems; decomposition; integer programming; interior point algorithms for linear programming. Solving LP using commercial mathematical programming software (MAPLE or MATLAB).


MTS 878 Combinatorial Optimization (3 units)

Thorough treatment of linear programming and combinatorial optimization. Topics include matching theory, network flow and matroid optimization.


MTS 885 Elasticity  I (3 units)

Formulation of the linear theory. Plain strain and generalized plane stress .Solution of               problem by potentials: Lames’ strain potential, Airy’s solution, Galerkin vector, Papkovitch-              Neuber representation. Basic singular solutions. Boundary- value and Boundary intial value              problems.


MTS 886 Elasticity  II (3 units)

Cauchy integrals. Fundamental properties. Application to problems of plane  elasticity. Two dimensional electrostatic problems.


MTS 887 Elasticity  III (Thermoplasticity) (3 units)

Thermoplasticity: Basic relations and equations. Thermoplastic potential. Thermal               inclusions. Two and three-dimensional problems.


MTS 888 Elasticity  IV (3 units)              

Solution of equations of motion of continual (Navier Stockes fluid, viscoelastic material etc).                Characteristics of various viscoelastic materials. Basic equations. Correspondence                principle. Boundary value problems.


MTS 889     Fundamentals of Operations Research (3 units)

Dynamic programming. Sequential decision processes; principle of optimality; shortest path               Problems; recursive fixing and reaching; Dijkstra and Ford’s methods. Applications: critical                Path problems, resource allocation problem, knapsack problems. Integer programming. Modelling: set-up costs, batch production, limited number of production methods. Logical constraints; set covering problems; systematic conversion of logical expression to IP constraints. Solution techniques: branch- and bound; Gomory pure integer cuts.               Game theory. Optimal strategies in face of uncertainty (minimax and maximin), two-person-               zero sum games, dominated strategies, saddle points, non-zero sum games, reaction curves              and Nash equilibria.


MTS 890       Methodology, Modelling and Consulting Skills (3 units)

Introduction to operations research; problems and problem definition; algebraic modelling              Languages; systems dynamics and simulation; optimization and heuristics; assessment,              Validation and implementation. Students presentation of case studies.


MTS 891 Computing for Operations Research (3 units)         

Scope of operations research computing tools: Excel, Xpress, Arena, SPSS and Java.             Excel: data handling, simple LP models and processing of results; limitations. Java: introduction to common programming concepts (variables, loops, conditional execution,              arrays, subroutines) using Java as teaching language.


MTS 892        Probability and Statistics (3 units)

Axioms of probability, conditional probability, random variables, mean, variance, and              covariance,  Discrete distribution, Continuous distribution, central limit theorem, probability               and moment generating functions, Sampling distributions. Descriptive statistics; sampling;               combinations of means and variances fir independent data; normal distribution; binomial               distribution; interval estimation and t-tests; analysis of variance; linear models; correlation               and regression; prediction and multiple regression; contingency tables.

9.3.9      Summary of Departmental Requirements

(a).         Mathematical Analysis

(i).          Functional Analysis option

                Compulsory Courses(C)

                MTS703, MTS715, MTS717, MTS718                                        

                Required Courses(R)

                MTS731, MTS732, MTS701, MTS702                                        


(ii).         Complex Analysis Option

                Compulsory courses

                MTS769, MTS770, MTS731, MTS732, MTS773                      

                Required Courses

                MTS715, MTS718, MTS772                                          


    (iii) Real Analysis option

          Compulsory Courses(C)

                    MTS703, MTS715, MTS717, MTS718                                    

                    Required Courses(R)

                    MTS731, MTS732, MTS701, MTS702                                    


(b).         Analytical Dynamics Option

                    Compulsory Courses

           MTS731, MTS732, MTS765, MTS766, MTS767, MTS768        

                    Required Courses

                    MTS 733, 734                                                                                 

                    Elective courses: MTS 775, 704


(c).         Fluid Mechanics Option

                   Compulsory Courses

   MTS731, 732,751,752,753,754                                                 

   Required Courses

          MTS766, 765                            

          Elective course(s): MTS 704 or MTS705                                        


(d).         Optimization Option

                   Compulsory Courses

                   MTS731, 732, 775, 776, 777                                                       

                   Required Courses

                   MTS715, 718,761                                                                                                          

                   Electives: MTS 789, 790, 791,792,778


(e).         ODE Option

                   Compulsory Courses

                   MTS 704,705, 731, 732, 717,761                                                                                              

                   Required Courses                                                                                        

                   MTS 702, 703, 715                                                                                                                        



(f).          Numerical Analysis Option

                   Compulsory Courses

                   MTS731, 732, 761, 763, 764                                                                       

                   Required Courses


   Elective(s): MTS 775,704


(g).         Algebra Option

                   Compulsory Courses

                   MTS701, 702, 703, 732, 731                                                                       

                   Required Courses

                   MTS715, 718, 727                                                                                         

      Specialization in the following sub-fields:

Fuzzy sets: MTS 725,726 (in addition to the above courses)

Neutrosophic algebra: MTS 728,729 (     “  )

Bi-algebra: MTS 730,735                  (   “    )


(h)   Operations Research Option


          MTS 731,732, 775,776,789,790


          MTS 791, 792

          Electives: 778


9.3.10    General Graduation Requirements

Master Programme

The Master Degree programme shall normally consist of:

24 units of relevant course work

A satisfactory seminar

Research Study and Thesis Presentation

Open Thesis Defense


Doctor of Philosophy Degree

The award of Doctorate Degree shall normally consists of :

A satisfactory seminar

Research Study and Thesis Presentation

Open Thesis Defense


9.3.11    Postgraduate Research Benchmark

 Master programme  

Generic Core Courses

SCI 701: Management and Entrepreneurship                          (2 Credit Units)

SCI 702: ICT and Research Methodology                               (2 Credit Units)

        –  Doctorate programme                                                                 Nil


9.3.12    Staff List

Academic Staff List






Olajuwon, B.I.

Reader & Head of Department

B.Sc.(Ago-Iwoye), M.Tech, Ph.D.(LAUTECH)

Fluid Mechanics

Oguntuase, J.A.


B.Sc.(UNAD), PGD (UNAAB), M.Sc., Ph.D.(Ife)

Analysis, Theory of Inequality and operator theory

Adeniran, O.J.


B.Sc., M.Sc.(Ife), Ph.D.(UNAAB)

Loop theory and Non Associative Algebra

Agboola, A.A.A.


B.Sc.,M.Sc.(Unilag), Ph.D.(UNAAB)

Fuzzy Sets and Logic

Omeike, M.O.

Senior Lecturer

B.Sc.,M.Sc.(Ibadan), Ph.D.(UNAAB)

Differential Equations

Osinuga, I.A.

Senior Lecturer

B.Sc.(Ago-Iwoye), M.Sc.(Ibadan), PGD (UNAAB), Ph.D.(Ilorin)


Akinleye, S.A.

Lecturer I

B.Sc.(Maiduguri), M.Sc.(Ibadan), Ph.D.(UNAAB)

Loop theory and Optimization

Mewomo, O.T.

Lecturer I

B.Sc.(UNAAB), M.Sc.(Ife), Ph.D.(UNAAB)

Banach Algebra

Abiala, I.O.

Lecturer I

B.Sc.,M.Sc.,PGD, Ph.D.(Ilorin)

Analytical Dynamics