Module Identifier MX34610  
Academic Year 2003/2004  
Co-ordinator Dr R S Jones  
Semester Semester 1  
Pre-Requisite MA11010 , MA11210  
Mutually Exclusive MA24610  
Course delivery Lecture   19 x 1 hour lectures  
  Seminars / Tutorials   3 x 1 hour example classes  
Assessment TypeAssessment Length/DetailsProportion
Semester Exam2 Hours (written examination)  100%
Supplementary Assessment2 Hours (written examination)  100%

Learning outcomes

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

Brief 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.


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
J Stewart (2001) Calculus: concepts and contexts 2nd edition. Brooks/Cole 0534377181
** 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
Salas, Hille and Ergen (2003) Calculus 9th ed. Wiley 0471383759


This module is at CQFW Level 6