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 second semester
Schedule
Units courses prerequisite and corequisite
Prerequisite or corequisite units are presented within each program
Learning unit contents
This course constitutes an introduction to algebraic topology and homological algebra.
One consider mainly the singular homology and some of its significant applications.
Learning outcomes of the learning unit
At the end of the course, the students should have a good idea of what algebraic topology is and of how its study leads naturally to homological algebra.
Prerequisite knowledge and skills
A good knowledge of basic algebra and topology 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, hybrid learning)
Face-to-face course
Recommended or required readings
Lecture notes are in preparation and a list of reference works is available.
Exam(s) in session
Any session
- In-person
oral exam
Written work / report
Work placement(s)
Organisational remarks and main changes to the course
The course is given during the second quadrimester of even academic years. It is therefore not given in 2021-2022.
Contacts
Jean-Pierre Schneiders Département de Mathématique (Bât. B37, Bureau 1/60) Allée de la Découverte, 12 - 4000 Liège (Sart-Tilman) Phone: (04) 366.94.01 - E-Mail: jpschneiders@uliege.be Web page: http://www.analg.ulg.ac.be/jps/