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Measure theory [ LMAT1322 ]


3.0 crédits ECTS  22.5 h + 15.0 h   1q 

Teacher(s) Moonens Laurent ;
Language French
Place
of the course
Louvain-la-Neuve
Main themes Borel-Sieltjes measures. Measurable functions Integrability and integrals Convergence theorems Radon-Nikodym theorem Fubini theorem Lp spaces and their dual Representation theorem of Riesz-Markov.
Aims The objective of the course is to introduce the notion of abstract measure space and the corresponding Lebesgue integral, then to rediscover, in this new language, the convergence theorems introduced in the first analysis courses : Fatou's lemma, Lebesgue dominated convergence, etc. After this course, students will be able to use those new tools in the context of the analysis and probability courses.
Other information Prerequisite : MAT 1221: Mathematical analysis 3
Cycle et année
d'étude
> Bachelor in Mathematics
> Bachelor in Economics and Management
> Bachelor in Engineering
> Bachelor in Physics
> Bachelor in Psychology and Education: General
> Bachelor in Information and Communication
> Bachelor in Philosophy
> Bachelor in Engineering : Architecture
> Bachelor in Computer Science
> Bachelor in Motor skills : General
> Bachelor in Human and Social Sciences
> Bachelor in Sociology and Anthropology
> Bachelor in Political Sciences: General
> Bachelor in Biomedicine
> Bachelor in Pharmacy
> Bachelor in Religious Studies
> Master [120] in Statistics: General
Faculty or entity
in charge
> MATH


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