“By creating we think, by living we learn” Patrick Geddes
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.
15 credits, Semester 1
Ordinary and Partial Differential Equations, Fourier Series.
15 credits, Semester 1
Coordinate systems, scalar and vector fields, vector operators, vector integrals, fundamental field equations.
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.
15 credits, Semester 1 (odd years only)
Linear programming, transportation problems, network programming, model building.
15 credits, Semester 2
Computer arithmetic and round-off errors, direct methods for solving linear systems of equations, iterative methods for solving linear systems, iterative methods for eigenvalue problems, using MATLAB to solve problems in linear algebra.
15 credits, Semester 1 (even years only)
Functions of a complex variable, residue calculus, the fundamental theorem of algebra, conformal mapping.
15 credits, Semester 2
Manifolds, differential forms, exterior algebra, integration of forms, Lie derivates.
15 credits, Semester 1 (even years only)
Brief historical survey, connectedness, Eulerian and Hamiltonian graphs, trees, graph colourings, planar and non-planar graphs.
15 credits, Semester 2
Using mathematical techniques to model: single species population dynamics, interacting species and molecular dynamics.
15 credits, Semester 2
Fluid dynamics including: conservation laws, common fluid approximations, vorticity, waves, viscous flow, turbulence and chaos.
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