Mathematical Techniques 4

Mathematical Techniques 4 (MT4 | SPA6324)

Please consult QMPlus for the authoritative information on this module.

Year: 3 | Semester: A | Level: 6 | Credits: 15

Prerequisites: PHY5218 Mathematical Techniques 3

Course organiser: Dr Sanjaye Ramgoolam | Course deputy: Prof Gabriele Travaglini

Synopsis:
The module will cover advanced techniques in mathematical physics and will consist of three parts. The first part will cover topics in the general area of analysis, such as Fourier transforms, differential equations, special functions, asymptotic series, complex analysis. The second will cover groups, algebras and representations. The third will cover elements of geometry : differential forms, homology, topological invariants.
Aims:
The module will provide training in advanced mathematical techniques, which will prepare third year students for Physics at the graduate level and elsewhere in industry.
Outcomes:
Upon successful completion of this module students will: 1)Use methods of complex analysis. 2)Know definitions and theorems related to groups, algebras, representations . 3)Know basic concepts of differential geometry. 4)Solve differential equations, use special functions. 5)Apply groups and representations to physical problems. 6)Apply concepts of differential geometry to physical problems.

Recommended books:

Arfken and Webber : Mathematical Methods for Physicists

Juno Champion

The school holds Juno Champion status, the highest award of this IoP scheme to recognise and reward departments that can demonstrate they have taken action to address the under-representation of women in university physics and to encourage better practice for both women and men.