MM510: Rings and Number Theory (5 ECTS)

STADS: 13001001

Level
Bachelor course

Teaching period
The course is offered in the autumn semester.
2nd quarter.

Teacher responsible
Email: svensson@imada.sdu.dk

Timetable
Show entire timetable
Show personal time table for this course.

Comment:
Ubegrænset deltagerantal, dog højst 30 studerende pr. hold for eksaminatorierne.

Prerequisites:
None

Academic preconditions:
Basic notions from linear algebra must be known.

Course introduction
To introduce basic notions and arguments from elementary Number Theory and Ring Theory.

Qualifications
Having completed the course successfully, the students can be expected to
- be conversant with basics of abstract, axiomatic reasoning.
- understand the fundamentals concerning (whole, rational, real and complex) numbers and their properties.
- command basic algebraic methods in mathematics.

Expected learning outcome


Subject overview
The integers, congruence and modular arithmetic, rings, polynomial rings, congruence in polynomial rings, ideals and quotient rings, integral domains and factorization, fields and field extensions.

Literature

Meddeles ved kursets start.

Website
This course uses e-learn (blackboard).

Prerequisites for participating in the exam
None

Assessment and marking:
Written exam, eksternal examiner, marks according to the 7-scale.

Examination only when the course has been taught. Examination is opposition terms only after acceptance from the study board.

Expected working hours
The teaching method is based on three phase model.

Forelæsninger (28 timer) og øvelser (18 timer).
Educational activities

Language
No recorded information about the language used in the course.

Course enrollment
See deadline of enrolment.

Tuition fees for single courses
See fees for single courses.