# Course Regulations (Core and Optional Modules) for MASt

The course requirement is to take **90 CATS of taught modules at the MA4 level (or equivalent) plus the 30 CAT research project**.

**Research Project**

The research project (MA4K9) is worth 30 CATS, i.e. 25% of the final mark. Submission deadline is normally in the middle of the Easter vacation period. There will be an oral exam on the contents of the project early in Term 3.

You should choose a project in an area that interests you. *It is your responsibility to find a supervisor and to agree a project with him or her. T**he sooner you find a project supervisor the better*; you will then be able to start background reading.

You can find more details here - regulations are the same as for the 4th year MMath Research Project.

**Module Options**

Standard module options for 2016/17 are listed below. Those wishing to take other modules should see the MASt Director of Studies.

Most modules are 15 CATS, which means 6 modules. Please note that some of the Physics modules however only count as 7.5 CATS, i.e. half a module.

## Mathematics modules

#### Further details of these mathematics modules can be found here.

Module Code |
Module Name |
Credits |

MA424 | Dynamical Systems | 15 |

MA427 | Ergodic Theory | 15 |

MA433 | Fourier Analysis | 15 |

MA453 | Lie Algebras | 15 |

MA467 | Presentations of Groups | 15 |

MA474 | Representation Theory | 15 |

MA475 | Riemann Surfaces | 15 |

MA482 | Stochastic Analysis | 15 |

MA4A2 | Advanced PDEs | 15 |

MA4A5 | Algebraic Geometry | 15 |

MA4A7 | Quantum Mechanics: Basic Principles & Probabilistic Methods | 15 |

MA4C0 | Differential Geometry | 15 |

MA4E0 | Lie Groups | 15 |

MA4E3 | Asymptotic Methods | 15 |

MA4E7 | Population Dynamics: Ecology & Epidemiology | 15 |

MA4F7 | Brownian Motion | 15 |

MA4G4 | Introduction to Theoretical Neuroscience | 15 |

MA4G6 | Calculus of Variations | 15 |

MA4H4 | Geometric Group Theory | 15 |

MA4H7 | Atmospheric Dynamics | 15 |

MA4H8 | Ring Theory | 15 |

MA4H9 | Modular Forms | 15 |

MA4J0 | Advanced Real Analysis | 15 |

MA4J3 | Graph Theory | 15 |

MA4J5 | Structures of Complex Systems | 15 |

MA4J7 | Cohomology and Poincare Duality | 15 |

MA4L0 | Advanced Topics in Fluids | 15 |

MA4L2 | Statistical Mechanics | 15 |

MA4L3 | Large Deviation Theory | 15 |

## Statistics modules

#### Further details of these statistics modules can be found here.

Module Code |
Module Name |
Credits |

ST401 | Stochastic Methods in Finance | 15 |

ST402 | Risk Theory | 15 |

ST403 | Brownian Motion | 15 |

ST404 | Applied Statistical Modelling | 15 |

ST405 | Bayesian Forecasting and Intervention with Advanced Topics | 15 |

ST406 | Applied Stochastic Processes with Advanced Topics | 15 |

ST407 | Monte Carlo Methods | 15 |

ST409 | Medical Statistics with Advanced Topics | 15 |

ST410 | Designed Experiments with Advanced Topics | 15 |

ST411 | Dynamic Stochastic Control | 15 |

ST412 | Multivariate Statistics with Advanced Topics | 15 |

ST413 | Bayesian Statistics and Decision Theory with Advanced Topics | 15 |

ST414 | Advanced Topics in Statistics | 15 |

ST416 | Advanced Topics in Biostatistics | 15 |

ST418 | Statistical Genetics and Advanced Topics | 15 |

Physics modules

#### Further details of these physics modules can be found here.

Module Code |
Module Name |
Credits |

PX408 | Relativistic Quantum Mechanics | 7.5 |

PX416 | High Energy Astrophysics | 7.5 |

PX420 | Solar Magnetohydrodynamics | 7.5 |

PX425 | High Performance Computing in Physics | 7.5 |

PX430 | Gauge Theories for Particle Physics | 7.5 |

PX431 | Structure & Dynamics of Solids | 15 |

PX435 | Neutrino Physics | 7.5 |

PX436 | General Relativity | 15 |

PX437 | Exo-Planets | 7.5 |

PX438 | Physics for Fusion Power | 7.5 |

PX441 | Quantum Theory of Interacting Particles | 15 |

PX444 | The Distant Universe | 7.5 |

PX445 | Advanced Particle Physics | 15 |