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DEGREE REGULATIONS & PROGRAMMES OF STUDY 2013/2014
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DRPS : Course Catalogue : School of Physics and Astronomy : Undergraduate (School of Physics and Astronomy)

Undergraduate Course: Physical Mathematics (PHYS09015)

Course Outline
SchoolSchool of Physics and Astronomy CollegeCollege of Science and Engineering
Course typeStandard AvailabilityAvailable to all students
Credit level (Normal year taken)SCQF Level 9 (Year 3 Undergraduate) Credits10
Home subject areaUndergraduate (School of Physics and Astronomy) Other subject areaNone
Course website http://www2.ph.ed.ac.uk/~paboyle/Site/Physical_Mathematics.html Taught in Gaelic?No
Course description*** This course is now discontinued. ****

An introduction to mathematical ideas and techniques for other courses in Honours years. The key idea is that of complete sets of orthonormal vectors, and its generalisation to complete sets of orthonormal functions. These functions occur in the solution (by separation of variables) of frequently-encountered partial differential equations in physics, such as Poisson's equation (in electrostatics), the wave equation and the Schrodinger equation. Some of the material will have been covered before in second-year courses; this material will be reviewed and developed, the emphasis throughout being on gaining physical insight into the mathematics.
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Students MUST have passed: Mathematics for Physics 3 (PHYS08037) AND Mathematics for Physics 4 (PHYS08038)
Co-requisites
Prohibited Combinations Other requirements None
Additional Costs None
Information for Visiting Students
Pre-requisitesNone
Displayed in Visiting Students Prospectus?No
Course Delivery Information
Delivery period: 2013/14 Semester 1, Available to all students (SV1) Learn enabled:  Yes Quota:  0
Web Timetable Web Timetable
Class Delivery Information Workshop/tutorial sessions, as arranged.
Course Start Date 16/09/2013
Breakdown of Learning and Teaching activities (Further Info) Total Hours: 100 ( Lecture Hours 22, Supervised Practical/Workshop/Studio Hours 20, Feedback/Feedforward Hours 2, Summative Assessment Hours 2, Revision Session Hours 2, Programme Level Learning and Teaching Hours 2, Directed Learning and Independent Learning Hours 50 )
Additional Notes
Breakdown of Assessment Methods (Further Info) Written Exam 100 %, Practical Exam 0 %, Coursework 0 %
Exam Information
Exam Diet Paper Name Hours:Minutes
Main Exam Diet S1 (December)2:00
Resit Exam Diet (August)2:00
Summary of Intended Learning Outcomes
Upon satisfactory completion of the course, students should be able to:
1)Relate complete sets of orthonormal vectors and complete sets of orthogonal functions
2)Sketch elementray functions such as the gaussian, the sinc, the ln, and trigonometric functions
3)State the fundamental equations of Sturm-Liouville theory and its applications to physical problems. Solve some simple Sturm-Liouville problems
4)Write down some common partial differential equations in physics, i.e. the diffusion equation, the wave equation and Poisson's equation; identify and use the coordinate system best suited to the symmetry of the problem to solve these partial differential equations in simple cases
4)Write down the expressions for the expansion of a function in a Fourier series and its generalisation to Fourier transforms; calculate Fourier series and Fourier transforms of simple functions
5)Use Fourier series and Fourier transforms to solve the diffusion and wave equations
6)Describe the concept of a Green's function
7)Acquire a degree of familiarity with the MAPLE mathematical software environment
Assessment Information
Degree Examination, 100%
Visiting Student Variant Assessment
Degree Examination, 100%
Special Arrangements
None
Additional Information
Academic description Not entered
Syllabus Not entered
Transferable skills Not entered
Reading list Not entered
Study Abroad Not entered
Study Pattern Not entered
KeywordsPMath
Contacts
Course organiserDr Peter Boyle
Tel: (0131 6)50 5239
Email: paboyle@ph.ed.ac.uk
Course secretaryMiss Jillian Bainbridge
Tel: (0131 6)50 7218
Email: J.Bainbridge@ed.ac.uk
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