If the colour codes change during the academic year to orange or red, modifications are possible, for example to the teaching and evaluation methods.

Course Code : | 1000WETGTT |

Study domain: | Mathematics |

Academic year: | 2020-2021 |

Semester: | 1st semester |

Sequentiality: | |

Contact hours: | 60 |

Credits: | 6 |

Study load (hours): | 168 |

Contract restrictions: | Exam contract not possible |

Language of instruction: | Dutch |

Exam period: | exam in the 1st 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

- The student masters concepts, methods and theorems from classical elementary and algebraic number theory.

- Reminder modular calculus, Chinese Remainder Theorem
- Functions from elementary number theory, Euler function
- Rings of algebraic integers in a number field, Relation to diophantine equations, Examples
- Dedekind domains, integral extensions, discriminant
- Finiteness of the ideal class group. Minkowski bound
- Quadratic Reciprocity Law
- Distributions of prime numbers, Dirichlet's Theorem on primes in an arithmetic progression

The course has an international dimension.

Class contact teachingPractice sessions

Personal workExercises Assignments Individually Assignments In group

Directed self-study

Personal work

Directed self-study

The tests and the participation in exercises cannot be repeated. In the first exam period the mark is exclusively based on these two components of permanent evaluation, in the second exam period it is exclusively on the exam.

Examination

Continuous assessment

Course notes will be provided.

Opnames of theory sessions from 2019/20 on Blackboard Collaborate.

Karim Johannes Becher (lokaal G.224); karimjohannes.becher@uantwerpen.be