Module Identifier MA24610  
Academic Year 2001/2002  
Co-ordinator Dr R Jones  
Semester Semester 1  
Pre-Requisite MA11010 , MA11210  
Mutually Exclusive MX34610  
Course delivery Lecture   19 x 1 hour lectures  
  Seminars / Tutorials   3 x 1 hour example classes  
Assessment Exam   2 Hours (written examination)   100%  
  Resit assessment   2 Hours (written examination)   100%  

General description

This module provides the mathematical framework necessary for the understanding of classical field theory and in particular hydrodynamics.


To introduce the mathematical concepts required for an understanding of classical field theory.

Learning outcomes

On completion of this module, a student should be able to:


1. Parametric representation of lines and surfaces;
2. Line, surface and volume integrals;
3. Vector and scalar fields; definitions of grad, div and curl;
4. Curvilinear coordinates, test for orthogonality;
5. Integral theorems of Gauss, Green and Stokes;
6. Harmonic functions and uniqueness theorems;
7. Laplace's equation in cylindrical and spherical polar coordinates, axially and spherically symmetric solutions.

Reading Lists

** Recommended Text
B Spain. (1965) Vector Analysis. Van Nostrand B6513742
** Supplementary Text
M R Spiegel. (1974) Schaum's outline of theory and problems of advanced calculus. McGraw-Hill 0070843805
R L Finney & G B Thomas. (1994) Calculus. 2nd. Addison-Wesley 0201549778