Course Code : | 1001WETGRC |

Study domain: | Mathematics |

Academic year: | 2019-2020 |

Semester: | 2nd semester |

Contact hours: | 60 |

Credits: | 6 |

Study load (hours): | 168 |

Contract restrictions: | No contract restriction |

Language of instruction: | Dutch |

Exam period: | exam in the 2nd semester |

Lecturer(s) | Karim Johannes Becher |

At the start of this course the student should have acquired the following competences:

an active knowledge of

- competences corresponding the final attainment level of secondary school

an active knowledge of

- Dutch

- English

Knowledge of the course 'Lineaire Algebra'

- The student is familiar with basic concepts of algebra such as groups, (commutative) rings and fields and knows general structure theorems as well as motivating examples.

Basic Group Theory:

- Isomorphism theorems, order of a group, normal subgroups, index of a subgroup (Lagrange's Theorem)

- Classification of finite abelian groups

- Permutations

- Group actions, Sylow Theorems

Basic Ring Theory:

- ideals, modules, quotients

- principal ideal domains, factorial domains, polynomial rings

- prime ideals, maximal ideals, Zorn's Lemma and Krull's Theorem

Class contact teachingLectures Practice sessions

Personal workExercises Assignments Individually

Personal work

The intermediate test and the participation cannot be repeated. In the case where the resit exam is taken, the final grade for the second session is computed in the same way (see 5.3), on the basis of the original grades for participation and the test.

Examination

Continuous assessment

Course notes will be provided.

Karim Johannes Becher (office G.224); email: karimjohannes.becher@uantwerpen.be

Nikolaas Verhulst (office G.308); email: nikolaas.verhulst@uantwerpen.be