Duration
30h Th, 20h Pr
Number of credits
| Bachelor in mathematics | 5 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
There are 3 main chapters:
1) Jordan's canonical form : nilpotent endomorphisms, general case, minimal polynomial and applications to linear recurrence equations and matrix exponential.
2) Bilinear algebra : bilinear form, matrix representation, rank and kernels, symmetric bilinear forms and quadratic forms, orthogonality, Gauss algorithm and signature, prehilbertian spaces.
3) Multilinear algebra : multilinear forms, alternating multilinear forms, exterior product and determinant.
Learning outcomes of the learning unit
This teaching is a natural sequel to the first bloc correspondent teaching.
Prerequisite knowledge and skills
Basic linear algebra as taught in the first bloc.
Planned learning activities and teaching methods
Exercices and theory, though taught separetely, illustrate each other.
Mode of delivery (face to face, distance learning, hybrid learning)
Face-to-face course
Additional information:
First semester ex cathedra teaching, at the Institute of Mathematics.
Recommended or required readings
The syllabus is available on the platform eCampus.
Exam(s) in session
Any session
- In-person
written exam AND oral exam
Additional information:
An oral and a written examinations of theory and exercises will be organized.
Work placement(s)
Organisational remarks and main changes to the course
Contacts
Laurent Loosveldt
Email : l.loosveldt@uliege.be
Department of Mathematics,
Allée de la Découverte, 12, B37,
4000 Liège Belgium
Office 0/59
You can also contact France Gheeraert
E-mail : france.gheeraert@uliege.be