Duration
30h Th, 30h Pr
Number of credits
| Bachelor in mathematics | 6 crédits |
Lecturer
Coordinator
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
- Group Theory : groups, subgroups, cyclic group, normal subgroups, quotient groups, Lagrange's theorem, isomorphism theorems. Cauchy theorem, Sylow theorems and p-group. Classification of finite commutative groups. Product of groups.
- Ring and field theory : modular arithmetic and ring of polynomials, field of fractions of a commutative domain, extension field by an algebraic number, degree of an extension
- Application to basic cryptography and to constructions with ruler and compass.
Learning outcomes of the learning unit
Develop the student's abilities and give sufficient basic knowledge of the concepts and methods of abstact algebra.
Prerequisite knowledge and skills
None.
Planned learning activities and teaching methods
Mode of delivery (face-to-face ; distance-learning)
A two semesters course at the Institute of Mathematics (B37).
Recommended or required readings
Two syllabus : theory, and exercices.
Assessment methods and criteria
First session (either January or June) : two exams : a written one with only exercices and an oral one with one or two questions of theory out a previously given list of questions.
Second session (September) : only one oral exam, theory and 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