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Image Processing

This course introduces the basic theories and methodologies of digital image processing. The topics include manipulating images in MATLAB/OCTAVE, images as Arrays of Numbers, digital image, compression the singular value decomposion, the image de-blurring problem:  a mathematical model of the blurring process. Further topics include de-blurring using a general linear model, obtaining the point spread function (PSF). De-bluring images using TSVD method,  total variation method, and the Tikhonov regularization method, general image reconstruction as an inverse problem. 

Course Code: 
MAT 812
No. of Credits: 
3
Level: 
Level 800
Course Semester: 
Second Semester
Pre-requisite: 
MAT 815
Select Programme(s): 
Mathematics
Mathematics
Mathematics

Natural Products I

This course introduces students to an in-depth study of the function and structural moiety of organic macromolecules of biological relevance. Topics to be discussed in this course will revolve around classification of carbohydrates, stereoisomerism in carbohydrates, polyfunctional chemistry of simple sugars, cellulose and its derivatives, enzymatic glycogen hydrolysis, conversion of ATP to ADP, and proteins (Classification, amino acids, peptides, determination of protein structure), nucleic acids, nucleosides, nucleotides, and synthetic polymers.

Course Code: 
CHE324
No. of Credits: 
3
Level: 
Level 300
Course Semester: 
Second Semester
Select Programme(s): 
Science

Partial Differential Equations

This course focuses on partial differential equation (PDE) models, which will be developed in the context of modelling heat and mass transport and, in particular, wave phenomena, such as sound and water waves. This course develops students' skills in the formulation, solution, understanding and interpretation of PDE models. Topics include classical theory of partial differential equations together with the modern theory based on functional analysis; systems of partial differential equations, boundary value problems, stability and convergence; applications to the classical problems of mathematical physics.

Course Code: 
MAT 811
No. of Credits: 
3
Level: 
Level 800
Course Semester: 
First Semester
Pre-requisite: 
MAT 406
Select Programme(s): 
Mathematics
Mathematics
Mathematics

Practical (Physical/Inorganic) Chemistry II

The course will expose students to preparation of standard reagents and inorganic complexes. Other experiments will focus on determination of heat of combustion, phase rules and concepts related to chemical kinetics. The use of other analytical methods such gravimetric methods, complexometric titrations, electrochemical and spectroscopic methods will be performed.

Course Code: 
CHE310
No. of Credits: 
2
Level: 
Level 300
Course Semester: 
Second Semester
Select Programme(s): 
Science

Organic Reactions Mechanism I

This course is intended to give students an insight into the principles governing how and why organic chemical reactions take place, as well as, the survey of preparative methods in organic chemistry and their application to the synthesis of complex molecules. It will largely focus on the development of novel synthetic methods and applications of these in target synthesis, most often either natural products or biologically active compounds of pharmaceutical or agrochemical significance. Nucleophilic, electrophilic, elimination and addition reactions will also be covered

Course Code: 
CHE318
No. of Credits: 
2
Level: 
Level 300
Course Semester: 
Second Semester
Select Programme(s): 
Science

Complex Analysis

This course provides advanced topics in complex analysis  such as conformal mappings, and physical applications of conformal mapping.  Further topics include analytic continuation and Riemann surfaces, Rouches’s theorem and principle of the argument, mapping properties of analytic functions, inverse function theory, maximum modulus theory,  infinite products and gamma function, Sterling’s formula and Bessel’s functions, homotopy and homology theory, and analytic properties of holomorphic functions. 

Course Code: 
MAT 810
No. of Credits: 
3
Level: 
Level 800
Course Semester: 
Second Semester
Pre-requisite: 
MAT 404
Select Programme(s): 
Mathematics
Mathematics
Mathematics

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

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