Duration
30h Th, 30h Pr
Number of credits
| Bachelor in mathematics | 6 crédits |
Lecturer
Language(s) of instruction
French language
Organisation and examination
Teaching in the second semester
Schedule
Units courses prerequisite and corequisite
Prerequisite or corequisite units are presented within each program
Learning unit 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 learning unit
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