401-2284-00L  Measure and Integration

SemesterSpring Semester 2020
LecturersF. Da Lio
Periodicityyearly recurring course
Language of instructionEnglish (lecture), German (exercise)



Courses

NumberTitleHoursLecturers
401-2284-00 VMass und Integral (Measure and Integration)
Die Vorlesungen finden ab dem 4. März 2020 bis Semesterende ohne Publikum statt.
3 hrs
Wed09:00-10:00ER SA TZ »
09:15-10:00HG F 3 »
Fri10:00-12:00ER SA TZ »
10:15-12:00HG F 3 »
F. Da Lio
401-2284-00 UMass und Integral
Groups are selected in myStudies.
Einige Übungsgruppen werden auf Deutsch gehalten.
Some exercise classes will be held in English.
Für die Übungen vom 4. März 2020 siehe Link
2 hrs
Wed10:15-12:00HG E 33.5 »
10:15-12:00HG G 26.1 »
10:15-12:00LEE D 105 »
10:15-12:00ML F 40 »
10:15-12:00ML H 43 »
10:15-12:00ML J 34.1 »
F. Da Lio

Catalogue data

AbstractIntroduction to abstract measure and integration theory, including the following topics: Caratheodory extension theorem, Lebesgue measure, convergence theorems, L^p-spaces, Radon-Nikodym theorem, product measures and Fubini's theorem, measures on topological spaces
ObjectiveBasic acquaintance with the abstract theory of measure and integration
ContentIntroduction to abstract measure and integration theory, including the following topics: Caratheodory extension theorem, Lebesgue measure, convergence theorems, L^p-spaces, Radon-Nikodym theorem, product measures and Fubini's theorem, measures on topological spaces
Lecture notesNew lecture notes in English will be made available during the course
Literature1. L. Evans and R.F. Gariepy " Measure theory and fine properties of functions"
2. Walter Rudin "Real and complex analysis"
3. R. Bartle The elements of Integration and Lebesgue Measure
4. The notes by Prof. Michael Struwe Springsemester 2013, Link.
5. The notes by Prof. UrsLang Springsemester 2019. Link
6. P. Cannarsa & T. D'Aprile: Lecture notes on Measure Theory and Functional Analysis: Link
.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
In examination block forBachelor's Degree Programme in Mathematics 2016; Version 25.02.2020 (Examination Block 2)
Bachelor's Programme in Mathematics 2010; Version 24.02.2016 (Examination Block 2)
ECTS credits6 credits
ExaminersF. Da Lio
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationoral 20 minutes
Additional information on mode of examinationDie mündliche Prüfung kann auf Wunsch der Studierenden auch auf Deutsch abgelegt werden.
If the course unit is part of an examination block, the credits are allocated for the successful completion of the whole block.
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

 
Main linkVorlesungswebseite
Only public learning materials are listed.

Groups

401-2284-00 UMass und Integral
GroupsG-01
Wed10:15-12:00ML J 34.1 »
G-02
Wed10:15-12:00HG E 33.5 »
G-03
Wed10:15-12:00LEE D 105 »
G-04
Wed10:15-12:00HG G 26.1 »
G-05
Wed10:15-12:00ML F 40 »
G-06
Wed10:15-12:00ML H 43 »

Restrictions

There are no additional restrictions for the registration.

Offered in

ProgrammeSectionType
Mathematics BachelorExamination Block IIOInformation
Physics BachelorAdditional Courses (from Second Year Mathematics Bachelor)ZInformation
Statistics MasterStatistical and Mathematical CoursesWInformation