Functional Analysis 2 - Interactive curriculae of TU Ilmenau
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| module properties module number 101057 - common information | |
|---|---|
| module number | 101057 |
| department | Department of Mathematics and Natural Sciences |
| ID of group | 2419 (Applied Functional Analysis) |
| module leader | Prof. Dr. Carsten Trunk |
| language | Deutsch oder Englisch |
| term | Sommersemester |
| previous knowledge and experience | Analysis, Funktionalanalysis I |
| learning outcome | Fach-, Methoden- und Systemkompetenz, Verstehen der grundlegenden Begriffe eines weiterführenden Gebietes der Funktionalanalysis. Der Student soll in der Lage sein, auf dem vermittelten Forschungsgebiet eigenständig zu arbeiten und zu ersten eigenen Forschungsergebnissen zu gelangen. |
| content | Konzepte der Operatortheorie, wie z. B. Spektraltheorie, selbstajungierter Operatoren im Hilbertraum, Erweiterungstheorie symmetrischer Operatoren, Fredholmtheorie, Theorie der definisierbarer Operatoren im Kreinraum,Halbgruppentheorie. Gegebenfalls Konzepte der Topologischen Vektrorräume, der lokalkonvexen Räume, Einführung in die Theorie der Distributionen, Sobolevräume und der Theorie der Differentialoperatoren |
| media of instruction and technical requirements for education and examination in case of online participation | |
| literature / references | Heuser: Funktionalanalysis. Teubner Stuttgart. Rudin, W.: Functional Analysis. Mc-Graw-Hill, New York 1991. Werner: Funktionalanalysis. Springer 2011. Schmüdgen: Unbounded self-adjoint operators on Hilbert space , Springer 2014. Weidmann: Lineare Operatoren in Hilberträumen, Teil I und II, Teubner 2000 bzw. 2003.
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| evaluation of teaching | |
| Details reference subject | |
|---|---|
| module name | Functional Analysis 2 |
| examination number | 2400582 |
| credit points | 4 |
| SWS | 3 |
| on-campus program (h) | 33.75 |
| self-study (h) | 86.25 |
| obligation | obligatory module |
| exam | oral examination performance, 30 minutes |
| details of the certificate | |
| link to Moodle course | |
| teacher | |
| signup details for alternative examinations | |
| maximum number of participants | |
| Details in degree program Master Mathematik und Wirtschaftsmathematik 2013 (WM), Master Mathematik und Wirtschaftsmathematik 2013 (AM) | |
|---|---|
| module name | Functional Analysis 2 |
| examination number | 2400582 |
| credit points | 4 |
| on-campus program (h) | 34 |
| self-study (h) | 86 |
| obligation | elective module |
| exam | oral examination performance, 30 minutes |
| details of the certificate | |
| link to Moodle course | |
| signup details for alternative examinations | |
| maximum number of participants | |