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| MATH0209-3 | Measure Theory
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| Duration : | 30h Th, 10h Pr, 20h Mon. WS |
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| Credits/ECTS : |
| Master in Mathematical Sciences, in-depth approach, 1st year |  | Premier quadrimestre |  | 10 |
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| Master in Statistics : General, Research focus, 1st year |  | Premier quadrimestre |  | 6 |
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| Master in Mathematical Sciences, didactic approach, 1st year |  | Premier quadrimestre |  | 10 |
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| Master en sciences mathématiques, à finalité spécialisée en gestion, 1st year |  | Premier quadrimestre |  | 10 |
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| Master en sciences mathématiques, à finalité spécialisée en informatique, 1st year |  | Premier quadrimestre |  | 10 |
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| Master in Mathematical Sciences, specialized approach, 1st year |  | Premier quadrimestre |  | 10 |
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| Master in Mathematical Sciences |  | Premier quadrimestre |  | 10 |
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| Holder(s) : | Jochen Wengenroth |
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| Language : | Langue française |
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| Course contents : | Measure theory has many applications in mathematic, in particular in analysis, functional analysis, and probability theory. The course will introduce the basic notions of measurs as well as integration techniques. |
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| Course objective : | The aim of the course is to devellop all the theory which is necessary to prove the Ries representation theorem: a result with many deep applications in mathematics. |
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| Prerequisites : | Analysis I, Linear Algebra |
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| Workshops : | The exercises are directed by the assistants. The theory presented in the cours is complemented by several examples and exercises. |
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| Organization : | The course will be given during the first semester. The timetable will be available at the beginning of the academic year. |
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| Assessment : | Oral examination. |
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| Contacts : | J. Wengenroth Analyse fonctionnelle Institut de Mathématique - Grande Traverse, 12 - Sart Tilman -Bât. B 37 - 4000 LIEGE 1 email: J.Wengenroth@ulg.ac.be |
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