Duration
20h Th, 20h Pr
Number of credits
| Bachelor in mathematics | 4 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
The aim of this teaching is twofold.
a) A natural sequel to the first bloc correspondant teaching.
b) A path in the direction of abstraction.
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)
First semester ex cathedra teaching, at the Institute of Mathematics.
Organisational adjustments related to the current health context
/
Recommended or required readings
The syllabus is available on the platform eCampus.
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.
A written examination of theory and exercises will be organized.
Work placement(s)
Organizational remarks
Contacts
Céline Esser
Email : Celine.Esser@uliege.be
Department of Mathematics,
Allée de la Découverte, 12, B37,
4000 Liège Belgium
Office 0/62
You can also contact Laurent De Rudder, office 0/67 (building B37).
E-mail : L.DeRudder@uliege.be(L.DeRudder@ulg.ac.be)