After successful completion of this course, students will be able to:Understand fundamental concepts and results of Functional Analysis;Apply the results to solve various problems and thoroughly explain the theorems.

Students have to solve biweekly problem sets. In the exercise class, students are expected to present their solutions on the board.

See the lecture.

It is strongly recommended to attend the course "Einführung in die Funktionalanalysis" before the course "Functional Analysis. 

See the lecture.

Christian Clason (University of Graz), Introduction to Functional Analysis, Compact Textbooks in Mathematics, Springer, 2020.Lecture notes on Functional Analysis (in German): https://www.uni-due.de/~adf040p/skripte/FunktAnSkript15.pdf.

The exercise sheet is uploaded to Moodle a week before the class. All students are encouraged to do the assignments weekly. Presence is required when crossing  the assignments on the Kreuzsystem.The final grade relies on regularly doing the exercises and good presentation. During the semester, one student is supposed to present the solutions on the board at least two times.In total, there are 100 points. The number of exercises solved counts 70 points, the presentation in total counts 30 points.Students gain some bonus points by actively participating in the activities of the class.The point scheme is as follows:100-86 points:185-75 points:  274-62 points:  361-50 points:  449-0 points:  5

contents of exercises and corresponding background from lecture

The mark depends on the number of points the student achieves (by solving exercises, presenting solutions and taking part in activities of the class).