240021 Maß- und Integrationstheorie (V) (WiSe 2020/2021)
Contents, comment
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Mengensysteme, Maße und äußere Maße, Der Erweiterungssatz von Caratheodory, Messbare Mengen, Bildmaße und Eigenschaften des Lebesgue-Maßes, Messbare Funktionen und Elementarfunktionen, Integration mit einem Maß, Integrierbarkeit und der Begriff des "fast überall", Riemann- und Lebesgue-Integral, Lp-Räume, Formen der Konvergenz, Produkträume, Produktmaße und der Satz von Fubini, Der Transformationssatz, Der Satz von Radon-Nikodym, Gleichgradige Integrierbarkeit und der verallgemeinerte Konvergenzsatz
von Lebesgue, Integration auf Untermannigfaltigkeiten im R^n, Der Integralsatz von Gauß
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Teaching staff
Dates ( Calendar view )
| Frequency | Weekday | Time | Format / Place | Period |
|---|
Subject assignments
| Module | Course | Requirements | |
|---|---|---|---|
| 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 |
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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- Thursday, February 27, 2020
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- Wednesday, February 17, 2021
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- lecture (V) / 4
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- Faculty of Mathematics
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