Undergraduate Course: Physical Mathematics (PHYS09015)
Course Outline
School  School of Physics and Astronomy 
College  College of Science and Engineering 
Course type  Standard 
Availability  Available to all students 
Credit level (Normal year taken)  SCQF Level 9 (Year 3 Undergraduate) 
Credits  10 
Home subject area  Undergraduate (School of Physics and Astronomy) 
Other subject area  None 
Course website 
http://www2.ph.ed.ac.uk/~paboyle/Site/Physical_Mathematics.html 
Taught in Gaelic?  No 
Course description  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 frequentlyencountered 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 secondyear courses; this material will be reviewed and developed, the emphasis throughout being on gaining physical insight into the mathematics. 
Information for Visiting Students
Prerequisites  None 
Displayed in Visiting Students Prospectus?  Yes 
Course Delivery Information

Delivery period: 2011/12 Semester 1, Available to all students (SV1)

WebCT enabled: Yes 
Quota: None 
Location 
Activity 
Description 
Weeks 
Monday 
Tuesday 
Wednesday 
Thursday 
Friday 
King's Buildings  Lecture   111   10:00  10:50     King's Buildings  Lecture   111      10:00  10:50  King's Buildings  Tutorial   211   11:10  13:00 or 14:00  15:50    
First Class 
First class information not currently available 
Additional information 
Workshop/tutorial sessions, as arranged. 
Exam Information 
Exam Diet 
Paper Name 
Hours:Minutes 


Main Exam Diet S2 (April/May)   2:00    Resit Exam Diet (August)   2:00   

Delivery period: 2011/12 Semester 1, Partyear visiting students only (VV1)

WebCT enabled: No 
Quota: None 
Location 
Activity 
Description 
Weeks 
Monday 
Tuesday 
Wednesday 
Thursday 
Friday 
King's Buildings  Lecture   111   10:00  10:50     King's Buildings  Lecture   111      10:00  10:50  King's Buildings  Tutorial   211   11:10  13:00 or 14:00  15:50    
First Class 
Week 1, Tuesday, 10:00  10:50, Zone: King's Buildings. LTB  JCMB 
Additional information 
Workshop/tutorial sessions, as arranged. 
Exam Information 
Exam Diet 
Paper Name 
Hours:Minutes 


Main Exam Diet S1 (December)   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 SturmLiouville theory and its applications to physical problems. Solve some simple SturmLiouville 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 
Keywords  PMath 
Contacts
Course organiser  Dr Peter Boyle
Tel: (0131 6)50 5239
Email: paboyle@ph.ed.ac.uk 
Course secretary  Miss Laura GonzalezRienda
Tel: (0131 6)51 7067
Email: l.gonzalez@ed.ac.uk 

