406-2284-AAL
Measure and Integration Semester Autumn Semester 2019 Lecturers J. Teichmann Periodicity every semester recurring course Language of instruction English Comment Enrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement. Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course unit.
Courses Number Title Hours Lecturers 406-2284-AA R Measure and IntegrationSelf-study course. No presence required.
180s hrs J. Teichmann
Catalogue data Abstract Introduction to the abstract measure theory and integration, including the following topics: Lebesgue measure and Lebesgue integral, Lp-spaces, convergence theorems, differentiation of measures, product measures (Fubini's theorem), abstract measures, Radon-Nikodym theorem, probabilistic language. Learning objective Basic acquaintance with the theory of measure and integration, in particular, Lebesgue's measure and integral. Literature 1. Lecture notes by Professor Michael Struwe (http://www.math.ethz.ch/~struwe/Skripten/AnalysisIII-SS2007-18-4-08.pdf ) 2. L. Evans and R.F. Gariepy "Measure theory and fine properties of functions" 3. Walter Rudin "Real and complex analysis" 4. R. Bartle The elements of Integration and Lebesgue Measure 5. P. Cannarsa & T. D'Aprile: Lecture notes on Measure Theory and Functional Analysis. http://www.mat.uniroma2.it/~cannarsa/cam_0607.pdf
Performance assessment Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course ECTS credits 6 credits Examiners J. Teichmann Type session examination Language of examination English Repetition The performance assessment is offered every session. Repetition possible without re-enrolling for the course unit. Mode of examination oral 15 minutes This information can be updated until the beginning of the semester; information on the examination timetable is binding.
Learning materials No public learning materials available. Only public learning materials are listed.
Groups No information on groups available.
Restrictions There are no additional restrictions for the registration.
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