Algebraic function fields

Course Code :	2000WETANT
Study domain:	Mathematics
Bi-anuall course:	Taught in academic years starting in an even year
Academic year:	2019-2020
Semester:	1st semester
Contact hours:	60
Credits:	6
Study load (hours):	168
Contract restrictions:	No contract restriction
Language of instruction:	English
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

a passive knowledge of

The student masters the basic notions and central theorems from algebraic number theory.
He/she can be apply these to simple number theoretic problems.
He/she has the necessary basis to study more advanced topics in number theory and algebra.

Definition and structure of the ring of algebraic integers of a number field and its class group.
Theorems of Dedekind on the units and on the finiteness of the class group.
Applications to the solution of polyonomial equations.
Quadratic Reciprocity Law and Dirichlet's Theorem on prime numbers in an arithmetic progression.

The course has an international dimension.

The lecturer teaches in a language other than Dutch

The lecturer uses course materials in a foreign language

The lecturer actively uses the presence of international students to create an international classroom

Class contact teaching

Lectures

Practice sessions

Personal work

Exercises

Assignments Individually

Assignments In group

Examination

Written examination without oral presentation

Closed book

Continuous assessment

Exercises

Assignments

(Interim) tests

Course notes will be provided.

The following study material can be studied voluntarily :

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