Mathematical Modelling B

Module code: NS2052

Module co-ordinator: TBC

The ability to model a scientific problem mathematically brings several advantages. It forces us to define the problem completely. It requires us to be specific about what is - and is not - to be considered relevant. It helps us strip down a problem to its simplest form. It enables us demonstrate clearly the effect of different assumptions on the outcomes.

In this module you will develop your modelling skills by looking at a range of contexts.

Topics covered

  • Fractal dimension
  • Fractals and chaos
  • Chain reactions
  • Resonance
  • Forced oscillations
  • Coupled oscillators
  • Taylor series
  • Stability
  • Broken symmetries
  • Phase transitions
  • Coordinate systems and vector geometry
  • Vectors
  • Astronomical coordinate systems
  • Transformation of coordinates

Learning

  • 4 two-hour workshops

Assessment

  • 4 sets of multiple choice questions (16%)
  • Portfolio of question answers for each of the 4 units (84%)