Undergraduate Course: Mathematical Methods 4 (Phys Sci) (MATH08018)
Course Outline
| School |
School of Mathematics |
College |
College of Science and Engineering |
| Course type |
Standard |
Availability |
Available to all students |
| Credit level (Normal year taken) |
SCQF Level 8 (Year 2 Undergraduate) |
Credits |
10 |
| Home subject area |
Mathematics |
Other subject area |
Mathematics for Physical Science & Engineering |
| Course website |
http://student.maths.ed.ac.uk
|
Taught in Gaelic? |
No |
| Course description |
Fourier's theorem, even/odd, half range expansions. Complex form of expansions. Linear algebra point of view. Parseval. Fourier transform: inverse, derivatives and convolution. Plancherel, Heisenberg uncertainty, delta function and Heaviside function. Partial Differential Equations: separation of variables, heat equation and wave equation. d'Alembert's solution. Classification of PDEs. Laplace equation: link to analytic functions, separation in plane polars. |
Information for Visiting Students
| Pre-requisites |
None |
| Displayed in Visiting Students Prospectus? |
Yes |
Course Delivery Information
| Not being delivered |
Summary of Intended Learning Outcomes
1. The ability to calculate some simple Fourier series and transforms.
2. The ability to use Fourier series and transforms in simple applications, including PDEs and ODEs.
|
Assessment Information
| Coursework: 15%; Degree Examination: 85%; at least 40% must be achieved in each component. |
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 |
mm4 |
Contacts
| Course organiser |
Dr Joan Simon Soler
Tel: (0131 6)50 8571
Email: |
Course secretary |
Mrs Karen Downie
Tel: (0131 6)50 5793
Email: |
|
|
University Homepage