2023-2024 / MATH0463-1

Functional analysis

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

Céline Esser

Language(s) of instruction

French language

Organisation and examination

Teaching in the first semester, review in January

Schedule

Schedule online

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.