Functional analysis

Duration

30h Th, 10h Pr, 20h Mon. WS

Number of credits

Lecturer

Céline Esser

Language(s) of instruction

French language

Organisation and examination

Teaching in the second semester

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)

Face-to-face course.

Organisational adjustments related to the current health context

Recommended or required readings

Lecture notes are in preparation and a list of reference works is available.

Assessment methods and criteria

Below you will find information on the evaluation methods planned for in-person and remote exams as well as those planned for hybrid sessions. Depending on how the health crisis evolves, the chosen method will be communicated to you no later than one month before the start of the exam session.

Any session :

- In-person

oral exam

- Remote

oral exam

- If evaluation in "hybrid"

preferred in-person


Additional information:

An examination comprising an oral part on the theory and a presentation of the personal work is organized during the first session. A similar examination is organized during the second session.

Work placement(s)

Organizational remarks

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 0/62

Items online