Key facts
Details for course being taught in current academic year
Level 3 - 15 credits - spring term
E-learning links
Resources
Course description
Course outline
Classification of second-order equations. Initial-value and boundary-value problems. Well-posedness. Fourier method. Green’s function. Maximum principle. Harmonic functions. Systems of first order equations.
Pre-requisite
Advanced Differential Equations, or equivalent.
Learning outcomes
At the end of the course successful students should
* know the classification of second-order partial differential equations;
* be able to formulate the standard boundary-value, initial-value and
boundary-initial-value problems for the Laplace, heat and wave
equations, to state and prove the uniqueness and existence theorems
for these problems;
* be able to state and prove Green’s identities and the representation
theorem;
* be able to solve model problems involving partial differential equations.
Assessments
| Type | Timing | Weighting |
|---|---|---|
| Coursework | 20.00% | |
| Problem Sets | Spring Week 3 | 25.00% |
| Problem Sets | Spring Week 5 | 25.00% |
| Problem Sets | Spring Week 7 | 25.00% |
| Problem Sets | Spring Week 9 | 25.00% |
| Unseen Examination | Summer Term (2 hours) | 80.00% |
Resit mode of assessment
| Type | Timing | Weighting |
|---|---|---|
| Unseen Examination | Summer Vacation (2 hours ) | 100.00% |
Timing
Submission deadlines may vary for different types of assignment/groups of students.
Weighting
Coursework components (if listed) total 100% of the overall coursework weighting value.
Teaching methods
| Term | Method | Duration | Week pattern |
|---|---|---|---|
| Spring Term | LECTURE | 2 hours | 1111111111 |
| Spring Term | LECTURE | 1 hour | 1111111111 |
How to read the week pattern
The numbers indicate the weeks of the term and how many events take place each week.