Partial Differential Equations (L7) (982G1)
Partial Differential Equations (L7)
Module 982G1
Module details for 2026/27.
15 credits
FHEQ Level 7 (Masters)
Module Outline
The module is an introduction to the theory of Partial Differential Equations (PDE), studying second order PDE including the wave, heat, and Laplace equations. Students will learn about D’Alembert’s solution, separation of variables, Duhamel’s principle, energy methods, maximum principles, and Green’s functions.
Module learning outcomes
Classify second-order partial differential equations
Solve models problems involving second order PDE
Formulate boundary value, initial value, and boundary-initial value problems for the Laplace, heat, and wave equations
Understand proofs of existence and uniqueness for these equations
| Type | Timing | Weighting |
|---|---|---|
| Unseen Examination | Semester 1 Assessment | 80.00% |
| 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% |
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.
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