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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 equivalents

This 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

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information

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

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information

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 website

Last updated: 19/04/2005

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