入学要求 Requirement:
学术要求: Suitable applicants would normally have a good Honours degree in mathematics or a related subject.
英语要求:An overall score of 6.5, with 6 in the Writing and Speaking modules.
学费 Tuition Fee:2012-13 £19,000
课程特征 Course Features:
A wide range of lecture modules will be available in analysis, geometry and topology, algebra, number theory and combinatorics. Each module will normally last for one term and students will be examined in eight modules, as well as writing a substantial project.
课程内容 Course Content :
Analysis
•Elliptic partial differential equations
•Fourier series, probability
•Functional analysis
•Measure and integration
•Potential theory
•Stochastic analysis
•Stochastic processes
Geometry, topology, number theory
•Algebraic topology, differential geometry, algebraic geometry
•Elementary and algebraic number theory
•Elliptic curves and diophantine equations
•Geometry of curves and surfaces
Algebra and combinatorics
•Galois theory, coding theory, algebraic graph theory
•Group theory
•Lie algebras and algebraic groups
•Representation theory
•Rings and modules