In the undergraduate courses at our university the students receive weekly assignments. I have the habit of giving one challenging problem in each exercise sheet. Some of them will be (slowly!) uploaded in this page.
Obviously the exercises are supposed to be difficult for the students who take the course for the first time. Therefore, it is often the case that they are not so difficult if one knows some more advanced mathematics.
Since the exercise classes are mostly in german, the weekly assignments are mostly in german as well and I will therefore upload english translations of the texts.
Winter semester 04/05 PDE
Winter semester 06/07 Analysis I
Summer semester 07 Analysis II
Fall Semester 07 Analysis III
Spring Semester 08 Functional Analysis
Spring Semester 10 Analysis IV
Fall Semester 10 Analysis I
Spring Semester 11 Analysis II
Fall Semester 11 Analysis III
Fall Semester 12 Geometry/Topology