Study Programmes 2015-2016
MATH0473-1  
Analysis III, 2nd part
Duration :
30h Th, 30h Pr
Number of credits :
Bachelor in mathematics6
Bachelor in mathematics6
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 introduce the basic notions of measures in order to define the Lebesgue measure.
Learning outcomes of the course :
The aims of this course are to:
  • prove and develop the results concerning the integral calculus stated in the course Analysis I,
  • show the connections between the Riemann integral, the Darboux integral and the Lebesgue integral,
Prerequisite knowledge and skills :
Analysis I, General Topology
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.
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. An exercise can be the subject of a question.
Work placement(s) :
Organizational remarks :
Contacts :
S. Nicolay
Analyse
Institut de Mathématique - 12 allée de la découverte Bât. B37 - Sart Tilman -Bât. B 37 - 4000 LIEGE 1
email: S.Nicolay@ulg.ac.be
Items online :
Measure Theory
Course notes