Lecturer: Thomas Hudson

Term(s): Term 2

Status for Mathematics students: List C

Commitment: 30 lectures

Assessment: 100% 3 hour written examination

Formal registration prerequisites: None

Assumed knowledge: This module assumes knowledge of various aspects of first and second year core maths material. Modules from other departments may also cover the necessary background. We list where the relevant material can be found for Maths and joint degree students.

• MA106 Linear Algebra): an understanding of vectors and matrices, including the ability to compute eigenvalues and eigenvectors
• MA259 Multivariable Calculus): knowledge of multivariable calculus, including partial derivatives, divergence, curl and accompanying integral theorems
• MA113 Differential Equations A): an ability to compute explicit solutions to various ODEs
• MA137 Mathematical Analysis): an appreciation of continuity and the ability to take limits

Useful background: MA3G1 Theory of PDEs

Synergies: The third year modules listed under "Useful Background" would go well alongside this module. Fourth year modules which would also synergise well are:

• MA4L2 Statistical Mechanics
• MA4L0 Advanced Topics in Fluids
• MA4M2 Mathematics of Inverse Problems

Leads to: The following modules have this module listed as assumed knowledge or useful background:

• MA269 Asymptotics and Integral Transforms
• MA3D1 Fluid Dynamics
• MA3J4 Mathematical Modelling with PDE all provide useful aspects background to the modelling aspect of this module.
  

Some background on the theory of ODEs and PDEs would also be useful, as covered in Additional Resources