240021 Maß- und Integrationstheorie (V) (WiSe 2018/2019)
Contents, comment
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Die Themen werden die für eine solche Vorlesung Üblichen sein:
Elemente der Maßtheorie (Meßbare Räume und Mengen, Maße, Äußere Maße, Lebesgue-Maß)
Integrationstheorie (Meßbare Funktionen, Integrierbare Funktionen, Konvergenzsätze, Fubini, Transformationssatz)
Mannigfaltigkeiten (Kartenwechsel, Tangentialbündel, Zerlegung der Eins)
Vektorfelder und Differentialformen (Äußere Ableitung, Poincaré-Lemma)
Integration auf Mannigfaltigkeiten (Integration von Differentialformen, Satz von Stokes)
Requirements for participation, required level
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Analysis 1 & 2, Lineare Algebra.
Bibliography
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Lehrbücher, in denen der zu behandelnde Stoff präsentiert wird, tragen im Allgemeinen den Titel "Analysis 3".
External comments page
Teaching staff
Dates ( Calendar view )
| Frequency | Weekday | Time | Format / Place | Period | |
|---|---|---|---|---|---|
| weekly | Mi | 10-12 | V2-205 | 08.10.2018-01.02.2019
not on: 12/26/18 / 1/2/19 |
|
| weekly | Fr | 12-14 | H5 | 08.10.2018-01.02.2019
not on: 12/28/18 / 1/4/19 |
Examinations
| Date | Time | Format / Room | Comment about examination |
|---|---|---|---|
| Wednesday, February 6, 2019 | 10:00-13:00 | H12 |
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Subject assignments
| Module | Course | Requirements | |
|---|---|---|---|
| 24-A1 Aufbaumodul Mathematik 1 | Vorlesung gemäß Modulbeschreibung | Student information | |
| - | Graded examination | Student information | |
| 24-A2 Aufbaumodul Mathematik 2 | Vorlesung gemäß Modulbeschreibung | Student information | |
| - | Graded examination | Student information | |
| 24-B-MI-5 Maß- und Integrationstheorie (5LP) | Maß- und Integrationstheorie | Student information | |
| 24-B-MI_ver1 Maß- und Integrationstheorie | Maß- und Integrationstheorie | Graded examination
|
Student information |
| 24-E Ergänzungsmodul Mathematik | Vorlesung gemäß Modulbeschreibung | Student information | |
| 24-SE Strukturierte Ergänzung | Vorlesung 1 | Student information | |
| Vorlesung 2 | 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 | |
|---|---|---|---|---|---|---|---|
| Studieren ab 50 |
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- Last update basic details/teaching staff:
- Thursday, July 12, 2018
- Last update times:
- Tuesday, December 18, 2018
- Last update rooms:
- Tuesday, December 18, 2018
- Type(s) / SWS (hours per week per semester)
- lecture (V) / 4
- Department
- Faculty of Mathematics
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