Duration
30h Th, 10h Pr, 20h Mon. WS
Number of credits
| Master in mathematics (120 ECTS) | 8 crédits | |||
| Master in mathematics (60 ECTS) | 8 crédits |
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
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
The personal work consists of the preparation of a short paper presenting and establishing a result related to the course but not considered during the lessons.
Mode of delivery (face-to-face ; distance-learning)
Face-to-face course.
Recommended or required readings
Lecture notes are in preparation and a list of reference works is available.
Assessment methods and criteria
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. It is therefore not given in 2019-2020.
Contacts
Jean-Pierre Schneiders Département de Mathématique (Build. B37, Office 1/60) Allée de la Découverte, 12 - 4000 Liège (Sart-Tilman) Phone : (04) 366.94.01 - E-Mail: jpschneiders@ulg.ac.be Web page: http://www.analg.ulg.ac.be/jps/
Adaptation of teaching commitments following the COVID-19 pandemic for the May-June 2020 session
Teaching methods implemented : distance-learning
Assessment subjects
Assessment methods
Contacts
Adaptation of teaching commitments following the COVID-19 pandemic for the Aug-Sept 2020 session
Assessment subjects
Assessment methods
Contacts
Items online
Course web page
Web page giving access to various informations on the course and to the electronic version of the notes.