 | | |
| MATH0246-2 | Algebra II
|
|
| Duration : | 35h Th, 35h Pr |
|
| Number of credits : |
|
|
| Lecturer : | Georges Hansoul |
|
Language(s) of instruction :
|
| French language |
|
Organisation and examination :
|
| Teaching in the first semester, review in January |
|
Course 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 course :
|
| Develop the student's abilities and give sufficient basic knowledge of the concepts and methods of abstact algebra. |
|
Prerequisites and co-requisites/ Recommended optional programme components :
|
| 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 Mathematics - B37
Office 059
Grande Traverse, 12 - 4000 Liege
(Sart Tilman)
Phone : 04/366.94.69
Fax : 04/366.96.47
E-mail : G.Hansoul@ulg.ac.be
CAVUS Rukiye
Phone : 04/366.94.04
E-mail : R.Cavus@ulg.ac.be |
|
