Modul

The module will be completed by an oral exam (~30min.).

The students can clarify integral equations and can show existence and uniqueness of solutions by perturbation theory and by Fredholm theory. Ideas of proofs for Fredholm theory and perturbation theory especially in case of convolution equations can be described and explained. Furthermore, the students can formulate classical boundary value problems for ordinary differential equations and from potential theory in terms of integral equations. 

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• Riesz and Fredholm theory
• Fredholm and Volterra integral equations
• Applications in potential theory
• convolution equation

Total workload: 240h

Attendance: 90h

• Lecture, problem class, examination

Self studies: 150h

• follow-up and deepening of the course content
• work on problem sheets
• literature studies and internet research related to the course content
• preparation of the module examination