MAU34215 Introduction to Partial Differential Equations
| Module Code | MAU34215 |
|---|---|
| Module Title | Introduction to Partial Differential Equations |
| Semester taught | Semester 1 |
| ECTS Credits | 5 |
| Module Lecturer | Prof. John Stalker |
| Module Prerequisites |
MAU11404 Techniques in theoretical physics OR
MAU23205 Ordinary differential equations (MAU33205 may be taken concurrently). |
Assessment Details
- This module is examined in a 2-hour examination at the end of Semester 1.
- Continuous assessment contributes 10% towards the overall mark.
- The module is passed if the overall mark for the module is 40% or more. If the overall mark for the module is less than 40% and there is no possibility of compensation, the module will be reassessed as follows:
1) A failed exam in combination with passed continuous assessment will be reassessed by an exam in the supplemental session;
2) The combination of a failed exam and failed continuous assessment is reassessed by the supplemental exam;
3) A failed continuous assessment in combination with a passed exam will be reassessed by one or more summer assignments in advance of the supplemental session.Capping of reassessments applies to Theoretical Physics (TR035) students enrolled in this module. See full text at https://www.tcd.ie/teaching-learning/academic-affairs/ug-prog-award-regs/derogations/by-school.php Select the year and scroll to the School of Physics.
Contact Hours
11 weeks of teaching with 3 lectures per week.
Module Content
- Wave equation: d'Alembert's formula, conservation of energy, method of reflection, uniqueness of solutions
- Heat equation: heat kernel, maximum principle, uniqueness of bounded solutions, stability of solutions
- Laplace equation: maximum principle, mean value property, Dirichlet problem for disc and half space, Poisson formula.
Module Content
- Notes will be provided.