Maths Modules

The Maths modules listed below will be offered in academic year 2012-2013. Please note that the modules listed may be subject to change and that final module selection will depend on academic approval of your module choice at both the point of application and the academic advising session before Matriculation.

Level 4

MA32001 - Analysis

15 credits, Semester 1 (odd years only)
Convergence, continuity, closedness, completeness, Banach theorem, differentiation, Mean Value Theorem, Riemann Integral, Fundamental Theorem of Calculus, function sequences.

MA32001 - Operational Research

15 credits, Semester 1 (odd years only)
Linear programming, transportation problems, network programming, model building.

MA32006 - Complex Analysis

15 credits, Semester 1 (even years only)
Functions of a complex variable, residue calculus, the fundamental theorem of algebra, conformal mapping.

MA32008 - Graph Theory

15 credits, Semester 1 (even years only)
Brief historical survey, connectedness, Eulerian and Hamiltonian graphs, trees, graph colourings, planar and non-planar graphs.

MA41003 - Ordinary Differential Equations and their Approximation

15 credits, Semester 1
numerical methods for initial value problems for ODEs including linear multi-step and Runge-Kutta methods, boundary value problems for ODEs including maximum principles.

MA41001 - Personal Transferable Skills

15 credits, Semester 1
Basics of MATLAB, compiling technical reports, typesetting mathematical texts, presentation skills, lecturing techniques.

MA41001 - Personal Project

15 credits, Semester 2
Students work on a substantial individual project from a wide choice of topics in mathematics.

MA42002 - Mathematical Biology II

15 credits, Semester 2
Partial differential equation models in biology, reaction-diffusion equations. Fisher’s equation, Turing pre-pattern theory, mechanochemical pattern formation theory, epidemiological models.

MA42007 - Mathematics of Fluids and Plasmas

15 credits, Semester 2
Conservation laws, properties of viscous and inviscid flow, electromagnetism, properties of magnetic fields, applications to flows of fluids and plasmas in various physical environments, particularly the sun.

MA42003 - Partial Differential Equations and their Approximations

15 credits, Semester 2
Theory of first and second order PDEs, boundary value problems including finite-difference methods and curved boundaries, initial value problems including parabolic and hyperbolic equations, numerical methods and error considerations.