Postgraduate Course: Problem Solving in Theoretical Physics (PGPH11085)
Course Outline
School  School of Physics and Astronomy 
College  College of Science and Engineering 
Credit level (Normal year taken)  SCQF Level 11 (Postgraduate) 
Availability  Not available to visiting students 
SCQF Credits  10 
ECTS Credits  5 
Summary  This firstsemester course is compulsory for all students on the MSc programmes in Mathematical Physics and Theoretical Physics. It aims to consolidate, extend and expand students' Mathematical abilities, and to use these to develop problemsolving skills in Theoretical Physics. It will be taught via weekly workshops in which students will work in small groups to solve a wide range of problems. There are no formal lectures, but students are encouraged to use Methods of Mathematical Physics, Symmetries of Classical Mechanics, Lagrangian Dynamics and Complex Analysis lectures and/or course material in a supporting roll. Problems sheets from MoMP, SoCM, Lagrangian Dynamics, etc, will be supplemented by additional problems which develop further understanding. 
Course description 
A course on application of advanced mathematical methods to problem solving in mathematical physics. The course will review and develop the theory of: vector and tensor analysis, calculus of variations, advanced complex analysis; asymptotic expansions; ordinary and partial differential equations, integral transform and Green function techniques; the generality of approaches will be emphasised and illustrative examples from electrodynamics, Lagrangian dynamics, quantum and statistical mechanics will be given.

Entry Requirements (not applicable to Visiting Students)
Prerequisites 

Corequisites  
Prohibited Combinations  
Other requirements  None 
Course Delivery Information

Academic year 2022/23, Not available to visiting students (SS1)

Quota: None 
Course Start 
Semester 1 
Timetable 
Timetable 
Learning and Teaching activities (Further Info) 
Total Hours:
100
(
Seminar/Tutorial Hours 20,
Online Activities 6,
Feedback/Feedforward Hours 4,
Formative Assessment Hours 6,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
61 )

Assessment (Further Info) 
Written Exam
0 %,
Coursework
100 %,
Practical Exam
0 %

Additional Information (Assessment) 
100% continuous assessment (weekly handins) 
Feedback 
Not entered 
No Exam Information 
Learning Outcomes
At the completion of the course students will have acquired the skills to:
1.Apply techniques of vector and tensor analysis and analytical dynamics to problems in theoretical physics
2.apply techniques of complex analysis, such as contour integrals and analytic continuation, to the study of problems in mathematical physics
3.calculate approximations to integrals by saddle point and other asymptotic expansion methods
4.be fluent in the use of Fourier and Laplace transformations to solve differential equations and derive asymptotic properties of solutions
5.solve partial differential equations with Green function techniques, taking examples from electromagnetism and quantum theory
6.apply these key mathematical techniques to a wide range of challenging problems in theoretical physics
Students will work individually and in groups to develop their analytic and problem solving skills, with input and tutorial support from postgrads and RAs.

Additional Information
Graduate Attributes and Skills 
Not entered 
Keywords  PSiTP 
Contacts
Course organiser  Dr Roger Horsley
Tel: (0131 6)50 6481
Email: rhorsley@ph.ed.ac.uk 
Course secretary  Ms Louise McCarte
Tel: 0131 668 8403
Email: louise.mccarte@ed.ac.uk 

