| Lecturer: | Prof. Dr. P. Dondl |
| Lectures: | Wednesday 14:15-15:45 Uhr, SR226 (Hermann-Herder-Str. 10). |
| Office Hour: | Monday 14-16 Uhr, Zi. 217, Hermann-Herder-Str. 10. Please send an email before coming to the office hour. |
| Assistant: | E. Trébuchon |
| Office Hour: | Upon request |
There is no class on Wed, Jun 18. Lecture is moved to Friday, June 27, 12:15-13:45. Room either 226 or 216.
This course provides a comprehensive introduction to mathematical modeling. We will learn the systematic process of translating real-world problems into mathematical frameworks, analyzing them using appropriate mathematical tools, and interpreting the results in practical contexts. The course covers both discrete and continuous modeling approaches, with emphasis on differential equations, variational problems, and optimization techniques. Through case studies in physics, biology, engineering, and economics, students will develop skills in model formulation, validation, and refinement. Special attention is given to dimensional analysis, stability theory, and numerical methods necessary for implementing solutions with a focus on numerical methods for ordinary differential equations. The course combines theoretical foundations with hands-on experience in computational tools for model simulation and analysis.
See course handbook ("Modulhanbuch") and its complementa ("Ergänzungen").
| Subject | Date | Room | Tutor |
|---|---|---|---|
| Assistance programming sheet 4 | Di 24.06. 14:00-16:00 | SR 218, Ernst-Zermelo-Str. 1 | Eric Trébuchon |
| Correction exercise sheet 4 | Di 01.07. 14:00-16:00 | SR 218, Ernst-Zermelo-Str. 1 | Grzegorz Kozera |
| Assistance programming sheet 5 | Di 08.07. 14:00-16:00 | SR 218, Ernst-Zermelo-Str. 1 | Eric Trébuchon |
We will alternate every week between "mathematical" exercises and programming sheets. The former one should be handed in at the letterbox 3.21 in the basement of Ernst-Zermelo-Str.1, and the latter one per email at eric.trebuchon@math.uni-freiburg.de at each Wednesday at 14:00.
| Sheet | Distributed | Return |
| Exercise Sheet 1 | 30.04.2025 | 07.05.2025 |
| Programming Sheet 1 | 30.04.2025 | 14.05.2025 |
| Exercise Sheet 2 | 14.05.2025 | 21.05.2025 |
| Programming Sheet 2 | 15.05.2025 | 28.05.2025 |
| Exercise Sheet 3 | 28.05.2025 | 04.06.2025 |
| Programming Sheet 3 | 28.05.2025 | 18.06.2025 |
| Exercise Sheet 4 | 18.06.2025 | 25.06.2025 |
| Programming Sheet 4 | 18.06.2025 | 02.07.2025 |
This lecture will closely follow Mathematical Modeling by Ch. Eck, H. Garcke, and P. Knabner.
