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| MATH0209-1 | Measurement Theory | |||||
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| Duration : | 30h Th, 10h Pr | |||||
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| Credits/ECTS : |
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| Holder(s) : | Jean Schmets | |||||
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| Course contents : | This course starts with the proof of the ten results which were admitted during the first year course about Lebesgue integration (monotone and bounded convergence theorems, Fubini and Tonelli theorems, change of variable, ...). This is followed by themes such as the absolute continuity in between measures, the Riesz characterization of the topological dual of some spaces of continuous functions and the comparison in between the Darboux, Riemann and Lebesgue integration theories on an interval of the real line. | |||||
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| Course objective : | Initiation of the students to measure theory developed by use of sets. | |||||
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| Prerequisites : | None for a student of the licence. | |||||
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| Workshops : | These works are organized by the assistants. They consist in explanations about the theory and some exercises. | |||||
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| Organization : | This course is organized during the second semester, one year out of two, as posted on the official timetable. It will be organized during this academic year 2004--2005. | |||||
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| Written notes : | Notes will be available at the beginning of the course. Numerous references are indicated. | |||||
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| Assessment : | The examination is oral; it may have a written part dedicated to exercises. | |||||
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| Contacts : | Professor Dr. J. SCHMETS Functional analysis Institut de Mathématique (Bureau 1/59) - Grande Traverse, 12 - Sart Tilman -Bât. B 37 - 4000 LIEGE 1 Tél.: ++ 32 (04) /366.93.91; Fax: ++ 32 (04) /366.95.47; e-mail: j.schmets@ulg.ac.be | |||||
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ULg : Students and Studies Administration - Academic Affairs
Contact : Monique Marcourt, direction A.E.E.
Date of data : 8/04/2005
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