Duration
20h Th, 20h Pr
Number of credits
| Bachelor in mathematics | 4 crédits |
Lecturer
Substitute(s)
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)
First semester ex cathedra teaching, at the Institute of Mathematics.
Recommended or required readings
The syllabus is available on the platform eCampus.
Assessment methods and criteria
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)
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
Only in french