Undergraduate Course: Differential Equations (VS1) (MATH09014)
Course Outline
| School | School of Mathematics |
College | College of Science and Engineering |
| Course type | Standard |
Availability | Part-year visiting students only |
| Credit level (Normal year taken) | SCQF Level 9 (Year 3 Undergraduate) |
Credits | 10 |
| Home subject area | Mathematics |
Other subject area | Specialist Mathematics & Statistics (Honours) |
| Course website |
https://info.maths.ed.ac.uk/teaching.html |
Taught in Gaelic? | No |
| Course description | Syllabus summary: Fourier transform, Power series and differential equations, systems of ODEs, separation of variables, orthogonal expansions and applications. |
Entry Requirements (not applicable to Visiting Students)
| Pre-requisites |
|
Co-requisites | |
| Prohibited Combinations | |
Other requirements | None |
| Additional Costs | None |
Information for Visiting Students
| Pre-requisites | None |
| Displayed in Visiting Students Prospectus? | Yes |
Course Delivery Information
|
| Delivery period: 2012/13 Semester 1, Part-year visiting students only (VV1)
|
WebCT enabled: Yes |
Quota: None |
| Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
| King's Buildings | Lecture | | 1-11 | 12:10 - 13:00 | | | | | | King's Buildings | Lecture | | 1-11 | | | | 12:10 - 13:00 | |
| First Class |
First class information not currently available |
| Exam Information |
| Exam Diet |
Paper Name |
Hours:Minutes |
|
|
| Main Exam Diet S1 (December) | Differential Equations (VS1) | 2:00 | | |
Summary of Intended Learning Outcomes
1. Solution of a linear system (in non-degenerate cases) using eigenpairs
2. Evaluation and application of matrix exponential (in non-degenerate cases)
3. Classification of planar linear systems (non-degenerate cases)
4. Determination of stability and classification of an equilibrium of a planar nonlinear system, by linearisation
5. Graphic use of integral of a conservative planar system
6. Acquaintance with Poincare-Bendixson Theorem
7. Acquaintance with basic partial differential equations and types of boundary conditions
8. Solution of first-order linear pde with constant coefficients
9. Solution of the wave equation by change of variable, leading to d'Alembert's solution
10. Acquaintance with notions of existence and uniqueness by example
11. Separation of variables for wave equation (finite string) and Laplace's equation (disc)
12. Handling Fourier series as orthogonal expansions, with an inner product and projection operator
13. Self-adjoint linear differential operators and their elementary spectral properties
14. The notion of completeness
15. Power series solution about a regular points of an analytic ordinary differential equation
16. Power series solution of Bessel's equation of order 0
17. Solutions of the wave equation for a circular drum |
Assessment Information
| Examination (100%) |
Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
Not entered |
| Transferable skills |
Not entered |
| Reading list |
http://www.readinglists.co.uk |
| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords | DEqv1 |
Contacts
| Course organiser | Dr Maximilian Ruffert
Tel: (0131 6)50 5039
Email: |
Course secretary | Mrs Kathryn Mcphail
Tel: (0131 6)50 4885
Email: |
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