Learning Outcomes:
On successful completion of this module the student should be able to:
1) Build mathematical models based on conservation laws
2) Non-dimensionalise these models
3) Analyse these models using dimensional scaling arguments
4) Convert PDE's into ODE's via similarity transformations
5) Solve simple PDE systems using the method of characteristics
6) Analyse discontinuities and shocks
7) Apply all of the above techniques to problems in sustainability and the enviornment