Duration
30h Th, 10h Pr, 20h Mon. WS
Number of credits
| Master in mathematics, research focus (Even years, organized in 2024-2025) | 8 crédits | |||
| Master in mathematics, teaching focus (Even years, organized in 2024-2025) | 8 crédits |
Lecturer
Language(s) of instruction
French language
Organisation and examination
Teaching in the first semester, review in January
Schedule
Units courses prerequisite and corequisite
Prerequisite or corequisite units are presented within each program
Learning unit contents
The course develops the basic principles of functional analysis as well as several applications.
Learning outcomes of the learning unit
At the end of the course, the student will be able to understand and explain the fundamental concepts of functional analysis. They will be able to present key theorems and apply functional analysis techniques to solve various problems.
Prerequisite knowledge and skills
A good understanding of the previous analysis, linear algebra and general topology courses is essential.
Planned learning activities and teaching methods
The course consists of blackboard lessons and exercises sessions.
During the lessons, the main theoretical results are introduced, established and illustrated with examples.
During the exercises sessions, the students are trained to solve by themselves various problems using the results considered in the lessons
Mode of delivery (face to face, distance learning, hybrid learning)
Blended learning
Course materials and recommended or required readings
Lecture notes and a list of reference works are available on eCampus.
Exam(s) in session
Any session
- In-person
written exam ( open-ended questions ) AND oral exam
Further information:
The exam will consist of two parts. The written part will involve solving exercises related to the theoretical material covered in class. The oral part will involve a presentation at the blackboard on a topic from the course. Two lists of topics will be provided: the student must choose one topic from each list, and at the time of the exam, one of the two topics will be presented.
Work placement(s)
Organisational remarks and main changes to the course
The course is given during the first quadrimester of even academic years.
Contacts
Céline Esser
Email : Celine.Esser@uliege.be
Département de Mathématique,
Allée de la Découverte, 12, B37,
4000 Liège Belgium
Bureau 1/75
Association of one or more MOOCs
Items online
Course web page
Web page giving access to various informations on the course and to the electronic version of the notes.