Module Identifier PH26020  
Academic Year 2003/2004  
Co-ordinator Dr Rudolf Winter  
Semester Semester 1  
Other staff Dr Rudolf Winter  
Pre-Requisite Core Physics at Part 1  
Co-Requisite None  
Mutually Exclusive None  
Course delivery Lecture   30 Hours  
  Seminars / Tutorials   4 Workshops  
Assessment TypeAssessment Length/DetailsProportion
Semester Exam3 Hours  70%
Semester Assessment (Example Sheets 1, 2, 3, 4, 5, 6, 7, 8,)  30%

Learning outcomes

On successful completion of this module students should be able to:

Brief description

Building on Year 1 modules on Theoretical Physics 1 (PH) and on Concepts in Physics 1 (PH), this Year 2 20 credit module develops the theoretical background required by all physics students. A wide variety of problems in Physics can be described and analysed in terms of vector operators, differential equations, Fourier analysis and non-linear systems. By the end of the module the student should be able to express common physical systems and relationships using this mathematical language. Topics covered include scalar and vector triple products, polar co-ordinates, 3-D scalar and vector fields, gradient, divergence and curl of 3-D fields, eigenvalue problems, general order ordinary differential equations, simultaneous differential equations, partial differential equations, Fourier analysis of signals, complementary parameters (e.g. frequency and time), Fourier transforms, power spectra, non-linear equations, chaos theory, modelling techniques. The relevance of the above topics to the physical sciences is illustrated throughout with examples drawn from electrostatics, magnetism, gravitation, mechanics, thermo-dynamics. plasma physics, atmospheric physics and fluid dynamics

Reading Lists

** Supplementary Text
M.L Boas Mathematical Methods in the Physical Sciences Wiley
** Essential Reading
G.B. Arfken and H.J. Weber Mathematical Methods for Physicists 5th. Harcourt
** Recommended Consultation
J. Gleick Chaos Abacus ISBN 043429554X
** Supplementary Text
Abarbanel, RAbinovich and Sushchik An Introduction to Non-Linear Dynamics for Physicists World Scientific Lecture Notes in Physics 9810214103


This module is at CQFW Level 5