Partial Differential Equations (G1114)
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Partial Differential Equations
Module G1114
Module details for 2025/26.
15 credits
FHEQ Level 6
Module Outline
Second-order Partial Differential Equations: wave equation, heat equation, Laplace equation. D'Alembert's solution, separation of variables, Duhamel's principle, energy method, Maximum principle, Green's identities.
Module learning outcomes
Know the classification of second-order partial differential equations;
Be able to solve model problems involving 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;
Be able to state and prove the uniqueness and existence theorems for the above equations using the energy method and the Maximum principle.
| Type | Timing | Weighting |
|---|---|---|
| Coursework | 20.00% | |
| Coursework components. Weighted as shown below. | ||
| Problem Set | T1 Week 4 | 15.00% |
| Problem Set | T1 Week 6 | 15.00% |
| Problem Set | T1 Week 9 | 15.00% |
| Problem Set | T1 Week 11 | 15.00% |
| Portfolio | T1 Week 11 | 40.00% |
| Unseen Examination | Semester 1 Assessment | 80.00% |
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.
| Term | Method | Duration | Week pattern |
|---|---|---|---|
| Autumn Semester | Lecture | 2 hours | 11111111111 |
| Autumn Semester | Lecture | 1 hour | 11111111111 |
How to read the week pattern
The numbers indicate the weeks of the term and how many events take place each week.
Prof Ali Taheri
Assess convenor, Convenor
/profiles/203434
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