Study Programmes 2015-2016
MATH0061-1  
Complement of studies in the theory of measurement
Duration :
30h Th, 10h Pr, 20h Mon. WS
Number of credits :
Master in mathematics (120 ECTS)10
Master in mathematics (120 ECTS)10
Lecturer :
Samuel Nicolay
Language(s) of instruction :
French language
Organisation and examination :
Teaching in the second semester
Units courses prerequisite and corequisite :
Prerequisite or corequisite units are presented within each program
Course contents :
Measure theory has many applications in mathematics, in particular in analysis, functional analysis, and probability theory. The course will begin where the preceding ended, by introducing themes such as the theorems of Radon-Nykodym, Lebesgue, the main result being the representation theorem for linear functionals.
Learning outcomes of the course :
The aims of this course are to:
  • show some important results about the measure theory (the Radon-Nykodym theorem, the Lebesgue decomposition, the Riesz representation theorem).
Prerequisite knowledge and skills :
Analysis I, General Topology, Measure Theory.
Planned learning activities and teaching methods :
The exercises are directed by the assistants.
The theory presented in the cours is complemented by several examples and exercises.
Mode of delivery (face-to-face ; distance-learning) :
The course will be given during the second semester. The timetable will be available at the beginning of the academic year.
If the number of students is lower or equal to three, the course will consist in a personal work.
Recommended or required readings :
Course notes, following the main taught subjects, are aviable at the beginning of the year.
Assessment methods and criteria :
Oral examination.
Work placement(s) :
Organizational remarks :
Contacts :
S. Nicolay
Analyse
Institut de Mathématique - Grande Traverse, 12 - Sart Tilman -Bât. B 37 - 4000 LIEGE 1
email: S.Nicolay@ulg.ac.be(S.Nicolay@ulg.ac.be)(S.Nicolay@ulg.ac.be)
Items online :
Théorie de la mesure
Notes du cours