Core Courses

In the first term, MRes students take four core courses which have been created specially for the MPE CDT, which link mathematical tools with Earth system science. On these courses students will acquire a broad knowledge of Mathematics of Planet Earth topics. These courses have 20 lectures each. Each lecture is delivered by MPE CDT staff at either Imperial or Reading, and is streamed using interactive Access Grid technology to the other site.

The courses are:

  • Partial differential equations introduces modelling and analysis techniques that can be applied to Earth system models.
  • Systems provides probabilistic/stochastic tools for understanding dynamical systems.
  • Data and uncertainty provides tools to quantify uncertainty in forecasts and make statistical inferences about the Earth system.
  • Numerical methods introduces the basics behind numerical methods and scientific computing techniques that are used in ocean, weather and  climate models.

Elective Courses

In the second term, MRes students take one elective course to develop new specialisms in mathematics arising from the core courses. Students may attend courses at either site. Some examples of possible courses are:

  • Advanced Partial Differential Equations (Reading)
  • Analytic Methods in Partial Differential Equations (Imperial)
  • Asymptotic Methods II (Reading)
  • Atmospheric Electricity (Reading)
  • Bayesian Statistics (Imperial)
  • Bifurcation Theory (Imperial)
  • Boundary Layer Meteorology and Micrometeorology (Reading)
  • Climate Change (Reading)
  • Computational Stochastic Processes (Imperial)
  • Current Topics in Weather and Climate (Reading)
  • Environmental Data Exploration & Visualisation (Reading)
  • Ergodic Theory (Imperial)
  • Extra-tropical Weather Systems (Reading)
  • Finite Elements (Imperial)
  • Geometric Mechanics I: Dynamics and Symmetry (Imperial)
  • Geometric Mechanics II; Rotating, Translating and Rolling (Imperial)
  • Global Circulation of the Atmosphere & Ocean (Reading)
  • Hazardous weather analysis (Reading)
  • Hydrology and global environmental change (Reading)
  • Integral Equations (Reading)
  • Machine Learning (Imperial)
  • Monte-Carlo Techniques and Particle Filters (Reading)
  • Non-parametric Smoothing and Wavelets (Imperial)
  • Numerical Modelling of Atmospheres and Oceans (Reading)
  • Numerical Solution of Partial Differential Equations (Reading)
  • Numerical Weather Prediction (Reading)
  • Oceanography (Reading)
  • Operational Data Assimilation Techniques (Reading)
  • Remote Sensing (Reading)
  • Scientific Computation (Imperial)
  • Statistics for Extreme Events (Imperial)
  • Statistics for Weather and Climate Science (Reading)
  • Stochastic Filtering (Imperial)
  • Stochastic Simulation (Imperial)
  • Tropical weather systems (Reading)
  • The Global Circulation (Reading)

There are also additional online courses available as part of the MAGIC Group and TCC (Mathematics Taught Course Centre), which deliver a range of postgraduate-level lecture courses in Mathematics.  For details of courses run in the spring term, visit their websites:

http://maths-magic.ac.uk/courses.php

http://tcc.maths.ox.ac.uk/syllabi/index.shtml