TMA401 / MMA400 Functional analysis Autumn 22
Course PM
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.
Program
The schedule of the course is in TimeEdit.
Lectures
| Week | Chapter | Contents |
| 1 | DM1, K | Introduction, vector spaces, completeness |
| 2 | DM1, K | Banach spaces, linear mappings, fixed point theory |
| 3 | K | Fixed point theory (cont.), Lp-spaces |
| 4 | K, DM3 | Lp-spaces (cont.), Hilbert spaces |
| 5 | DM4 | Linear operators on Hilbert spaces |
| 6 | DM4, K | Compact operators, spectral theory |
| 7 | DM5, K | Applications to ODE |
| 8 | Question session |
| Week | Exercises |
| 1 | DM1: 1, 5, 13, 14, 36, 37, 40, 45 |
| 2 | K7.2: 2, 7,11, 12, 13, 17, 18, 38 K7.3: 11,16,17,21,45,66, 72, 78 |
| 3 | K7.4: 2, 6, 7, 10, 14, 16, 17 |
| 4 | K7.5: 9, 10, 11, 12, 19,22, 37 |
| 5 | K7.6: 2, 3, 4, 5, 6, 9 |
| 6 | K7.6: 14, 16, 17, 29 |
| 7 | K7.7: 1, 2, 12, 16, 25 |
Recommended exercises
| Day | Exercises |
|---|---|
Computer labs
There are no computer labs in this course.
Reference literature:
- Learning MATLAB, Tobin A. Driscoll. Provides a brief introduction to Matlab to the one who already knows computer programming. Available as e-book from Chalmers library.
- Physical Modeling in MATLAB 3/E, Allen B. Downey
The book is free to download from the web. The book gives an introduction for those who have not programmed before. It covers basic MATLAB programming with a focus on modeling and simulation of physical systems.
Course summary:
| Date | Details | Due |
|---|---|---|