TMA026 / MMA430 Partial differential equations - second course Spring 26
This page contains the program of the course: lectures and exercise sessions. Other information, such as learning outcomes, teachers, literature and examination, are in a separate course PM.
Under files there are video lectures (with corresponding slides), video exercise classes, solutions to selected exercises, and old exams with solutions.
Program
The schedule of the course is in TimeEdit.
Lectures
| Day | Sections | Content |
|---|---|---|
| 23/3 | A.1 | Functional analysis |
| 25/3 | A.2 | Sobolev spaces |
| 27/3 | Exercises: A.6, A.15 | |
| 30/3 | 3.1-3.2, 3.4 | Elliptic problems |
| 1/4 | 3.5-3.7 | Elliptic problems |
| 13/4 | 5.1-5.6 | FEM |
| 15/4 | 6.1 | Eigenvalue problems |
| 17/4 | Exercises: 3.4, 3.8, 3.13, 5.1 | |
| 20/4 | 6.2 | Eigenvalue problems and FEM |
| 22/4 | 8.2 | Parabolic problems: eigenfunction expansion |
| 24/4 | Exercises: 6.1, 6.3 | |
| 27/4 | 8.3 | Parabolic problems: variational formulation |
| 29/4 | Exercises: 8.6, 8.10, 8.11 | |
| 4/5 | 10.1-10.2 | FEM for parabolic problems |
| 6/5 | notes | Linear elasticity |
| 8/5 | Exercise: 10.1 | |
| 11/5 | notes | Linear elasticity |
| 13/5 | Exercises: X.2, X.3, X.8 | |
| 18/5 | Course summary | |
| 20/5 | Applications in structural mechanics | |
| 22/5 | Exercise: Questions |
Recommended exercises
| A.7, A.11, A.16 |
| 3.9, 3.10, 3.11 |
| 5.3, 5.5, 5.6, 5.7 |
| 6.5, 6.7 |
| 8.4, 8.5, 8.16 |
| 10.3, 10.5, X.1, X.4 |
One of the exam questions will be to state and prove one of the following theorems:
A.4, 3.6, 5.3, 5.4, 6.5, 6.7, 8.3, 8.5, 8.6, 10.1
Course summary:
| Date | Details | Due |
|---|---|---|