Synopsis for C8.1a: Mathematical Geoscience

Level: M-level Method of Assessment: Written examination.
Weight: Half-unit (OSS paper code 2A81)

Recommended Prerequisites

B6 highly recommended.

Overview

The aim of the course is to illustrate the techniques of mathematical modelling in their particular application to environmental problems. The mathematical techniques used are drawn from the theory of ordinary differential equations and partial differential equations. However, the course does require the willingness to become familiar with a range of different scientific disciplines. In particular, familiarity with the concepts of fluid mechanics will be useful.

Synopsis

Applications of mathematics to environmental or geophysical problems involving the use of models with ordinary and partial differential equations. Examples to be considered are: Climate dynamics. River flow and sediment transport. Glacier dynamics.

1. A. C. Fowler, Mathematical Geoscience (Springer, 2011).
2. K. Richards, Rivers (Methuen, 1982).
3. G. B. Whitham, Linear and Nonlinear Waves (Wiley, New York, 1974).
4. K. M. Cuffey and W. S. B. Paterson, The Physics of Glaciers (4th edition, Butterworth-Heinemann, 2011).
5. J. T. Houghton, The Physics of Atmospheres (3rd ed., Cambridge University Press., Cambridge, 2002).