Duration
30h Th, 10h Pr, 20h Mon. WS
Number of credits
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
Upon successful completion of the course, students will be able to:
- independently explore a mathematical topic using appropriate mathematical literature and other relevant sources;
- formulate and develop a mathematical question or problem in a clear and structured manner;
- critically assess and organise the information gathered from different sources;
- present mathematical arguments and results in a rigorous and coherent written form;
- communicate mathematical ideas clearly in an oral presentation;
- discuss and defend their work in response to questions from the instructor.
Prerequisite knowledge and skills
Integral calculus
Planned learning activities and teaching methods
If the Department's human resources allow it, practical sessions will be led by teaching assistants. They complement the material presented in the lectures with examples and exercises. In the absence of an available teaching assistant, no practical sessions will be organised.
Mode of delivery (face to face, distance learning, hybrid learning)
Remote course
Further information:
The course is taught during the first semester. Students are expected to work independently on a topic of their choice, in consultation with the instructor and subject to the instructor's approval. This work must be submitted in written form and presented orally. The instructor provides guidance and support throughout the student's learning process.
Course materials and recommended or required readings
Platform(s) used for course materials:
- eCampus
Further information:
Course notes covering a wide range of topics are made available to students. They provide a reference resource for the course, but students are free to choose their topic from other sources or fields, subject to the instructor's approval.
Written work / report
Further information:
The assessment is based on an individual project carried out by the student. The topic is chosen by the student in consultation with the instructor and must be approved by the instructor. The project consists of a written paper submitted to the instructor and an oral presentation.
Both the written paper and the oral presentation contribute to the final assessment.
Work placement(s)
Organisational remarks and main changes to the course
Contacts
S. Nicolay
Analyse
Institut de Mathématique - Grande Traverse, 12 - Sart Tilman -Bât. B 37 - 4000 LIEGE 1
email: S.Nicolay@ulg.ac.be