MATM15 Number Theory is an alternatively compulsory course at advance level for a Master of Science degree in mathematics. It covers the classical theory of congruences, quadratic reciprocity, quadratic forms and Diophantine approximation.

Teaching
Each two-hour session is divided into roughly equal parts lecture and seminar. In the seminar, students present their solutions to the exercises. A detailed weekly plan for the teaching is available under Modules.

Assessment
The assessment consists of a written and an oral examination. The oral examination is offered only to those students who pass the written examination.
In addition, it is required to give a presentation during the seminar at least once during the course.

Assignments
Two hand-ins will be given during the course. Each of these is worth 1 point added to the score on the written exam (out of a total 30 points).

Course literature
David M. Burton, Elementary Number Theory, 7th edition, McGraw-Hill, New York, 2010, ISBN: 978-007-128919-1.

Schedule
The schedule is available in the TimeEdit schedule tool. For instructions on how to use TimeEdit click here.

Official Course Description

Course evaluation

An online course evaluation will be carried out at the end of the course. The survey, as well as the results of the evaluation from last year, may be found here. For feedback during the course, contact the teacher or the elected course representative: Christoph Strobl.

MATM15-Number Theory