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Course content

This course aims to bring you, in 12 months, to a position where you can embark with confidence on a wide range of careers, including taking a PhD in Mathematics or related disciplines. There is a wide range of taught modules on offer, and you will also produce a dissertation on a topic of current research interest taken from your choice of a wide range of subjects offered.

Course structure and overview

  • Six taught modules in October-May
  • A dissertation in June-September.

Modules: Six of available options

In previous years, optional modules available included:

Modules in Pure Mathematics:

  •  Algebraic Topology IV
  •  Analysis III and IV
  •  Codes and Cryptography III
  •  Differential Geometry III
  •  Galois Theory III
  •  Representation Theory III and IV
  •  Riemannian Geometry IV
  •  Topology III
  •  Topics in Algebra and Geometry IV

Modules in Probability and Statistics:

  •  Bayesian Statistics III and IV 
  •  Mathematical Finance III and IV
  •  Decision Theory III
  •  Operations Research III
  •  Statistical Methods III
  • Stochastic Processes III and IV

Modules in Applications of Mathematics:

  •  Advanced Quantum Theory IV
  •  Continuum Mechanics III and IV
  •  Dynamical Systems III
  •  General Relativity IV
  •  Mathematical Biology III 
  •  Partial Differential Equations III and IV
  •  Quantum Information III
  •  Quantum Mechanics III
  •  Solitons III and IV

Course Learning and Teaching

This is a full-year degree course, starting early October and finishing in the middle of the subsequent September. The aim of the course is to give the students a wide mathematical background allowing them to either proceed to PhD or to apply the gained knowledge in industry.

The course consists of three modules: the first two are the Michaelmas and Epiphany lecture courses covering variety of topics in pure and applied mathematics and statistics. The third module is a dissertation on a topic of current research, prepared under the guidance of a supervisor with expertise in the area. We offer a wide variety of possible dissertation topics.

The main group of lectures is given in the first two terms of the academic year (Michaelmas and Epiphany), there are also two revision lectures in the third term (Easter). This part of the course is assessed by examinations. Students choose 6 modules, each module has 2 lectures per week and one fortnightly problems class. There are 10 teaching weeks in the Michaelmas term and 9 teaching weeks in Epiphany term. In addition lecturers also set a number of homework assignments which give the student a chance to test their understanding of the material.

The dissertation must be submitted by mid-September, the end of the twelve month course period 


Visit the Mathematical Sciences - MSc page on the Durham University website for more details!

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