240051 Funktionalanalysis (V) (SoSe 2015)
Short comment
- Skript mit Ausrufezeichen auf der Homepage; für den Klausurtermin bitte an ID mit Lichtbild denken!; Probeklausur ist auf der Homepage abrufbar
Contents, comment
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Funktionenräume, Teilmengen von Funktionenräumen, Satz von Arzelà-Ascoli, Sobolev-Räume, Satz von Dini, Approximationssätze von Stone und Weierstraß, Lineare Operatoren, Neumann-Reihe, Lineare Funktionale, Satz von Hahn-Banach, Schwache Konvergenz, Prinzip der gleichmäßigen Beschränktheit, Baire'scher Kategoriensatz, Satz von der offenen Abbildung, Satz vom abgeschlossenen Graphen, Projektionen, Satz von Lax-Milgram, Anwendungen auf partielle Differenzialgleichungen
Im Sommersemester wird ein Skript für die Vorlesung Funktionalanalysis herausgegeben. Die Vorlesung orientiert sich an dem Lehrbuch "Lineare Funktionalanalysis - Eine anwendungsorientierte Einführung", Reihe: Springer-Lehrbuch Masterclass von Hans Wilhelm Alt,
6. Aufl. 2012, XII, 449S. 19 Abb.. Springer-Verlag.
Requirements for participation, required level
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Analysis I
Analysis II
Lineare Algebra I
Lineare Algebra II
Maß - und Integrationstheorie
Bibliography
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"Lineare Funktionalanalysis - Eine anwendungsorientierte Einführung", Reihe: Springer-Lehrbuch Masterclass von Hans Wilhelm Alt,
6. Aufl. 2012, XII, 449S. 19 Abb.. Springer-Verlag.
External comments page
Teaching staff
Dates ( Calendar view )
| Frequency | Weekday | Time | Format / Place | Period | |
|---|---|---|---|---|---|
| weekly | Mi | 12-14 | V2-205 | 07.04.-17.07.2015 | |
| weekly | Fr | 12-14 | V2-205 | 07.04.-17.07.2015
not on: 5/1/15 / 7/17/15 |
|
| one-time | Mo | 18-20 | V2-205 | 22.06.2015 | |
| one-time | Fr | 11:30-14:00 | D2-136 | 17.07.2015 |
Examinations
| Date | Time | Format / Room | Comment about examination |
|---|---|---|---|
| Monday, August 3, 2015 | 10-13 | H4 | |
| Friday, September 18, 2015 | 12-18 | D2-136 | Termin zur Klausureinsicht Funktionalanalysis (V) 240051 (Klausur vom 03.08.2015) |
| Friday, September 25, 2015 | 13:30-16:00 | V2-200 | Klausureinsicht |
| Thursday, October 15, 2015 | 10-13 | H4 |
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Subject assignments
| Module | Course | Requirements | |
|---|---|---|---|
| 24-M-GM Foundations in Mathematics Grundlagen Mathematik | Spezialisierungskurs Mathematik | Graded examination
|
Student information |
| 24-SE Structured Electives Strukturierte Ergänzung | Vorlesung 1 | Student information | |
| Vorlesung 2 | Student information | ||
| 24-SP Specialisation Module in Mathematics Spezialisierung | Vorlesung gemäß Modulbeschreibung | Graded examination
|
Student information |
The binding module descriptions contain further information, including specifications on the "types of assignments" students need to complete. In cases where a module description mentions more than one kind of assignment, the respective member of the teaching staff will decide which task(s) they assign the students.
| Degree programme/academic programme | Validity | Variant | Subdivision | Status | Semester | LP | |
|---|---|---|---|---|---|---|---|
| Mathematik / Diplom | (Enrollment until SoSe 2008) | Wahl | 5. 6. 7. 8. | scheinfähig HS | |||
| Mathematik (Gym/Ge als zweites U-Fach) / Master of Education | (Enrollment until SoSe 2014) | M.M.10 | Wahlpflicht | 4. | 7 | benotet | |
| Mathematik (Gym/Ge fortgesetzt) / Master of Education | (Enrollment until SoSe 2014) | M.M.10 | Wahlpflicht | 2. 3. | 7 | benotet | |
| Studieren ab 50 |
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- Last update basic details/teaching staff:
- Friday, December 11, 2015
- Last update times:
- Thursday, October 22, 2015
- Last update rooms:
- Tuesday, September 22, 2015
- Type(s) / SWS (hours per week per semester)
- lecture (V) / 4
- Department
- Faculty of Mathematics
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