2005/06 Undergraduate Module Catalogue
PHYS3460 Advanced Mathematical Methods
10 creditsClass Size: 40
Module manager: Professor G J Morgan
Email: G.J.Morgan@leeds.ac.uk
Taught: Semester 2 (Jan to Jun) View Timetable
Year running 2005/06
Pre-requisites
PHYS1150, 1160, 2160, 2170 or equivalentsThis module is approved as an Elective
Objectives
On completion of this module, students should be able to:- use the Cauchy-Riemann conductions to discuss the analytic properties of functions of a complex variable;
- derive Cauchy's integral theorems and use them to evaluate various types of integral important in physics;
- define the principle value of an integral and derive Kramers-Kronig type of relations in suitable circumstances such as the damped forced simple harmonic oscillator;
- calculate the Euler-Lagrange equations for simple functionals and solve them for various physical applications.
Skills outcomes
The ability to make use of useful mathematics which arises in many different disciplines.The ability to make use of useful mathematics which arises in many different disciplines.
Syllabus
Functions of a complex variable. The Cauchy-Riemann conditions, Cauchy's integral theorems and Kramers-Kronig relations. The Euler-Lagrange equations and applications to physics.
Teaching methods
Lectures: 22 x 1 hour.
Private study
Homework: 18 hours;Revision: 30 hours;
Reading: 30 hours.
Opportunities for Formative Feedback
3 assignments over 1 semester.Methods of assessment
1 x 2 hour written examination at the end of the semester: 85%;
3 marked exercises: 15%.
Reading list
The reading list is available from the Library websiteLast updated: 19/04/2005
Browse Other Catalogues
- Undergraduate module catalogue
- Taught Postgraduate module catalogue
- Undergraduate programme catalogue
- Taught Postgraduate programme catalogue
Errors, omissions, failed links etc should be notified to the Catalogue Team.PROD