Mathematics and Computational Methods for Complex Systems

Module code: 817G5
Level 7 (Masters)
15 credits in autumn teaching
Teaching method: Lecture, Seminar
Assessment modes: Coursework

This module provides a foundation in mathematical and scientific computing techniques used widely in artificial intelligence, artificial life and related fields. The material covered in this module will facilitate the study of a number of options on other MSc courses at a deeper level than would be possible without it. In particular, it is a prerequisite for the Neural Networks and Computational Neuroscience modules. Coursework is based around Matlab packages.

Topics include:

  • vectors and matrices
  • differential calculus
  • numerical integration
  • probability and hypothesis testing
  • dynamical systems theory.

Module learning outcomes

  • Use vectors and matrices to simplify mathematical operations using MatLab.
  • Apply gradient descent for function optimisation using MatLab.
  • Construct and integrate simple mathematical systems and analyse their stability using dynamical systems theory.
  • Analyse a scientifc topic mathematically.