Study Programmes 2016-2017
MATH2011-1  
Linear algebra supplements
Duration :
20h Th, 20h Pr
Number of credits :
Bachelor in mathematics4
Lecturer :
Georges Hansoul
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 :
Two 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.
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) :
Second semester ex cathedra teaching, at the Institute of Mathematics.
Recommended or required readings :
Available syllabus.
Assessment methods and criteria :
At both session, oral examination for theory and written examination for exercices.
Work placement(s) :
Organizational remarks :
Contacts :
HANSOUL Georges
Institute of Mathématics - B37
Office 059
Grande Traverse, 12 - 4000 Liège
(Sart Tilman)
Phone : 04/366.94.69
Fax : 04/366.95.47
E-mail : G.Hansoul@ulg.ac.be

Julien RASKIN
Phone : 04/366.94.32
E-mail : J.Raskin@ulg.ac.be
 
Laurent DE RUDDER
Phone : 04/366.94.06
E-mail : L.DeRudder@ulg.ac.be