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04-10-0015 Integrationstheorie · TUPlan

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04-10-0015

Integrationstheorie

FB04 Mathematics · Offered in SoSe 2026

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Weekly sessions · SoSe 2026

Mon15:20–17:00S103/223 · Vorlesung und Übung
Wed08:00–09:40S103/23 · Vorlesung und Übung
Wed09:50–11:30S103/126 · Übung 1
Wed09:50–11:30S103/109 · Übung 2
Wed13:30–15:10S215/404K · übung 4
Wed15:20–17:00S103/017 · Übung 3

Parts

04-10-0015-vuLecture with exercise6 contact h/week

Language: Deutsch
Taught by: Prof. Dr. rer. nat. Moritz Egert, M.Sc. Benjamin Wolfgang Kosmala

Course content

Teil I: Mengensysteme, Maße, Maßraum, Parallelen zur Topologie, äußere Maße, Satz von Carathéodory, Lebesguesche Maße, messbare Funktionen, integrierbare Funktionen, Lebesgue-Integral, Konvergenzsätze, Lp-Räume, Satz von Fubini in R^n, Transformationssatz und Anwendungen. Teil II: Faltungsintegrale, Fourier-Transformation; Untermannigfaltigkeiten, Oberflächenmaße, Sätze von Gauß, Stokes, Green.

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