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Advanced Topics in Operations Research

This course serves as an introduction to the field of operations research. It will quip students with scientific approaches to decision-making and mathematical modelling techniques required to design, improve and operate complex systems in the best possible way. Topics include the formulation of linear programming models:  goal programming, transportation problem, case study. Further topics are mathematical programming: project planning and control, dynamic programming, integer programming, probabilistic models: application of queuing theory, forecasting and simulation, decision analysis (making hard decisions), and multi-criteria decision making.

Course Code: 
MAT 809
No. of Credits: 
3
Level: 
Level 800
Course Semester: 
First Semester
Pre-requisite: 
MAT 409
Select Programme(s): 
Mathematics
Mathematics
Mathematics

Physical Optics (Theory/Practicals)

Physical Optics shifts the treatment of propagation of light energy along straight-line segments (Geometrical Optics) to that which propagates as a wave and the consequences of the behavior this helps to account for important phenomena such as interference, diffraction and polarization. The course also lays the foundation for an understanding of such devices and concepts as interferometer, thin-film interference, antireflection (AR) coatings. Polarizes, quarter-wave plates. A laboratory component will run concurrently with the theory to provide hands-on experience with handling optical instruments.

Course Code: 
PHY304
No. of Credits: 
3
Level: 
Level 300
Course Semester: 
Second Semester
Select Programme(s): 
Science

Boundary Condition Functions

This course introduces students to the construction of Green’s functions for boundary value problems. Topics include boundary condition functions for self-adjoint and non-self-adjoint boundary value problems, construction of Green’s functions in terms of boundary condition functions, aymptotic behaviour of boundary condition functions and Green’s functions, and  singular self-adjoint boundary value problem.

Course Code: 
MAT 808
No. of Credits: 
3
Level: 
Level 800
Course Semester: 
Second Semester
Pre-requisite: 
MAT 405 and MAT 406
Select Programme(s): 
Mathematics
Mathematics
Mathematics

Classical Mechanics

This course is concerned with the set of physical laws describing the motion of bodies under the action of a system of forces.  It describes the motion of macroscopic objects as well as astronomical objects.  It enables the student to make tangible connections between classical and modern physics – an indispensable part of a physicist’s education.

Course Code: 
PHY302
No. of Credits: 
3
Level: 
Level 300
Course Semester: 
Second Semester
Select Programme(s): 
Science

Modern Algebra

This course focuses on traditional algebra topics that have found greatest application in science and engineering as well as in mathematics.  Topics include direct product of groups, finite abelian groups, sylow theorem, finite simple groups, polynomial rings, ordered integral domain, extension fields, algebraic extensions, bilinear and quadratic forms, real and complex inner product spaces, the spectral theory and normal operators.

Course Code: 
MAT 807
No. of Credits: 
3
Level: 
Level 800
Course Semester: 
First Semester
Pre-requisite: 
MAT 403
Select Programme(s): 
Mathematics
Mathematics
Mathematics

Ordinary Differential Equations II

This course presents the student with advanced techniques for analysing the behaviour of solutions of ordinary differential equations. Topics include linear systems with isolated singularities, linearisation of systems of differential equations,  asymptotic behaviour of non-linear systems: stability, perturbation of systems having a periodic solution, perturbation theory of two-dimensional real autonomous systems.

Course Code: 
MAT 806
No. of Credits: 
3
Level: 
Level 800
Course Semester: 
Second Semester
Pre-requisite: 
MAT 805
Select Programme(s): 
Mathematics
Mathematics
Mathematics

Ordinary Differential Equations I

This course presents the student with advanced techniques for analysing the behaviour of solutions of ordinary differential equations. Topics include systems of first order linear differential equations, existence and uniqueness of solutions; adjoint systems,  linear system associated with a linear homogeneous differential equation of order n,  adjoint equation to a linear homogeneous differential equation, Lagrange Identity, linear boundary value problems on a finite interval; homogeneous boundary value problems and Green’s function; non-self-adjoint boundary value problems, self-adjoint eigenvalue problems on a finite interval, the expansion and completeness theorems, oscillation and comparison theorem for second-order linear equations and applications.

Course Code: 
MAT 805
No. of Credits: 
3
Level: 
Level 800
Course Semester: 
First Semester
Pre-requisite: 
MAT 405
Select Programme(s): 
Mathematics
Mathematics
Mathematics

Functional Analysis II

This course covers major theorems in Functional Analysis that have applications in Harmonic and Fourier, Ordinary and Partial Differential Equations. Topics covered include: linear spaces, semi-norms, norm, locally convex spaces, linear functional, Hahn-Banach theorem, factor spaces, product spaces conjugate spaces,  linear operators, and adjoints.

Course Code: 
MAT 804
No. of Credits: 
3
Level: 
Level 800
Course Semester: 
Second Semester
Pre-requisite: 
MAT 803
Select Programme(s): 
Mathematics
Mathematics
Mathematics

Becoming a Reflective Science Teacher

This course is aimed at helping students to combine practice and theory to become a reflective science teacher. It will enable students to become innovative and flexible in their teaching practice. It will also guide them to draw on knowledge and experience, and relate them to what they do in practice. 

Course Code: 
ESC313
No. of Credits: 
3
Level: 
Level 300
Course Semester: 
Second Semester
Select Programme(s): 
Science

Computer Applications in Science Education

The course provides trainees’ opportunities to develop their Technological Pedagogical Content Knowledge (TPACK) and skills to design, enact and evaluate ICT-based lessons using a variety of ICT tools that support different teaching and learning strategies. Students will also be able to use Predictive Analytics Software (PASW) in analyzing data.

This course emphasizes the following: Application of Microsoft Office Suits in science teaching; Using of ICT tools for active learning of science (Blogs, Mind mapping tools, Interactive Simulations); Demonstration of skills in ICT in the delivery of science lessons; and PASW.

Course Code: 
ESC345
No. of Credits: 
2
Level: 
Level 300
Course Semester: 
Second Semester
Select Programme(s): 
Science

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