Duration
30h Th, 30h Pr
Number of credits
| Bachelor in mathematics | 6 crédits |
Lecturer
Language(s) of instruction
French language
Organisation and examination
Teaching in the second semester
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
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, hybrid learning)
Blended learning
Additional information:
A two semesters course at the Institute of Mathematics (B37).
Recommended or required readings
Two syllabus : theory, and exercices.
Any session :
- In-person
written exam ( open-ended questions ) AND oral exam
- Remote
written exam ( open-ended questions )
- If evaluation in "hybrid"
preferred in-person
Additional information:
A written one with only exercices and an oral one with one or two questions of theory out a previously given list of questions.
Work placement(s)
Organisational remarks and main changes to the course
Contacts
Julien Leroy
Institut de mathématique,
Quartier Polytech
Allée de la découverte 12 (B37)
4000 Liège
Tépéphone: 04/366 94 70
Email: J.Leroy@uliege.be