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 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 students should have understood completely the results presented during the lectures. They should be able to establish these results and to use them 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, exercises sessions and a personal work.
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
Informations concerning the personal work will be communicated during the lessons.
Mode of delivery (face to face, distance learning, hybrid learning)
Blended learning
Recommended or required readings
Lecture notes and a list of reference works are available on eCampus.
Exam(s) in session
Any session
- In-person
oral exam
Written work / report
Additional information:
An oral examination consisting of theory and exercises will be organized. A personal work, which must be submitted one week before the exam, will also be requested
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.