Module MA4345-KP05
Functional Analysis (AKFunkKP05)
Duration
1 Semester
Turnus of offer
irregularly
Credit points
5
Course of studies, specific fields and terms:
- Master CLS 2023, optional subject, mathematics
- Bachelor CLS 2023, optional subject, mathematics
- Minor in Teaching Mathematics, Master of Education 2023, optional subject, mathematics
- Minor in Teaching Mathematics, Master of Education 2017, optional subject, mathematics
- Master CLS 2016, optional subject, mathematics
- Bachelor CLS 2016, optional subject, mathematics
Classes and lectures:
- Functional Analysis (exercise, 1 SWS)
- Functional Analysis (lecture, 2 SWS)
Workload:
- 20 hours exam preparation
- 85 hours private studies and exercises
- 45 hours in-classroom work
Contents of teaching:
- metric spaces
- elements of topology, in particular, compactness
- Banach and Hilbert spaces
- L^p-spaces
- duality
- bounded linear functionals and operators
Qualification-goals/Competencies:
- Understanding the transfer of simple analytic ideas to general structures
- Learning and applying techniques of functional analysis
Grading through:
- written exam
Requires:
Responsible for this module:
Literature:
- A. N. Kolmogorov, S. V. Fomin : Reelle Funktionen und Funktionalanalysis Deutscher Verlag der Wissenschaften, Berlin 1975
Language:
- offered only in German
Notes:
Admission requirements for taking the module:- None (The competencies of the modules listed under 'Requires' are needed for this module, but are not a formal prerequisite)
Admission requirements for participation in module examination(s):
- Successful completion of homework assignments as specified at the beginning of the semester
Module exam(s):
- MA4345-L1: Functional Analysis, oral exam, 30 min, 100 % of module grade
Last Updated:
22.02.2022