This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.
Module version of SS 2011
There are historic module descriptions of this module. A module description is valid until replaced by a newer one.
Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.
|available module versions|
|SS 2021||WS 2020/1||SS 2020||SS 2019||WS 2011/2||SS 2011|
MA3001 is a semester module in English language at Master’s level which is offered in winter semester.
This Module is included in the following catalogues within the study programs in physics.
- Focus Area Theoretical Quantum Science & Technology in M.Sc. Quantum Science & Technology
- Catalogue of non-physics elective courses
|Total workload||Contact hours||Credits (ECTS)|
|270 h||90 h||9 CP|
Content, Learning Outcome and Preconditions
- Bounded linear operators, open mapping theorem;
- Spectral theory for compact selfadjoint operators;
- Duality, Hahn-Banach theorems;
- Weak and weak* convergence;
- Brief introduction to unbounded operators
Bachelor 2019: MA0001 Analysis 1, MA0002 Analysis 2, MA0004 Linear Algebra 1, MA0005 Linear Algebra 2 and Discrete Structures
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
|VO||4||Functional Analysis||Bornemann, F.||
Tue, 14:00–16:00, virtuell
Fri, 14:00–16:00, virtuell
|UE||2||Exercises for Functional Analysis||Bornemann, F. Ludwig, C.||
Learning and Teaching Methods
·Gert K. Pedersen: Analysis Now (Springer, 1989
·John B. Conway: A Course in Functional Analysis (Springer, 1990)
·W. Rudin, Functional Analysis (McGraw Hill, 1991)
·M. Reed/B. Simon, Functional Analysis (Academic Press 1972)
·Dirk Werner: Funktionalanalysis (Springer, 1995)
Description of exams and course work
Students have to know theoretical basics and methods to analyze linear functionals and operators in Banach and Hilbert spaces. They can give solutions to application problems in limited time.
The exam may be repeated at the end of the semester.