Mathematical Modeling

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.
Tutorials: E. Trébuchon
Office Hour: tba

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Content

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.

Credit points

See course handbook ("Modulhanbuch") and its complementa ("Ergänzungen").

Tutorial groups

To be announced.

Exercises

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Literature

This lecture will closely follow Mathematical Modeling by Ch. Eck, H. Garcke, and P. Knabner.