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
Units courses prerequisite and corequisite
Prerequisite or corequisite units are presented within each program
Learning unit contents
Three separate items.
1) Jordan's canonical form :
a) matrices reducible to a triangular one,
b) nilpotent endomorphism,
c) the general case.
2) Bilinear algebra :
a) orthogonal spaces of finite dimension,
b) orthogonal bases,
c) hyperbolic spaces,
d) de With's theorem.
3) The axiom of choice and Zorn's Lemma
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 exercises will be organized. There will also be an oral examination.
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)