Duration
30h Th, 10h Pr, 20h Mon. WS
Number of credits
| Master in mathematics (120 ECTS) (Even years, not organized in 2023-2024) | 8 crédits | |||
| Master in mathematics (60 ECTS) (Even years, not organized in 2023-2024) | 8 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 follows up Integral calculus but focuses on the functional analysis aspects of the measure theory.
Learning outcomes of the learning unit
The topics will vary following the expectations of the students.
Prerequisite knowledge and skills
Integral calculus
Planned learning activities and teaching methods
If there are sufficient human resources in the department, the exercises will be supervised by teaching assistants. The theory presented in the course is supplemented by various examples and exercises.
Mode of delivery (face to face, distance learning, hybrid learning)
The course will be given during the first 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 may be delivered as a distance-learning course.
Recommended or required readings
Course notes, covering the main subjects taught, are available at the beginning of the year.
Other : Depending on the statutory means available.
Additional information:
Oral examination (with eventually a written exam for the execices) and/or written work.
Work placement(s)
Organisational remarks and main changes to the course
In case of restrictions related to a health crisis, the teaching can be adapted in order to respect the imposed constraints. For example the flipped classroom strategy could be adopted.
Contacts
S. Nicolay
Analyse
Institut de Mathématique - Grande Traverse, 12 - Sart Tilman -Bât. B 37 - 4000 LIEGE 1
email: S.Nicolay@ulg.ac.be