The course covers the basic theory of groups rings and field, including concepts like residue classes, ideals, and isomorphisms. Applications of the underlying theory is given in combinatorics, cryptology, coding theory, and geometric constructions.
Further, polynomials with coefficients in a field are studied, and how zeros of a polynomial can be found in a larger field. The general theory for such field extensions is then connected to three classical geometric problems; trisection of an angle, doubling the cube, and squaring a circle, and why these are unsolvable.
The information below is only for exchange students
Lectures begin on week starting 19 March 2018
Lectures end during the week of 28 May 2018
Type of studies
The course requires 60 ECTS in mathematics or at least two years university studies and in both cases courses in Discrete Mathematics and Linear Algebra or equivalent. Proficiency in English equivalent to Swedish upper secondary course English 5/A. Where the language of instruction is Swedish, applicants must prove proficiency in Swedish to the level required for basic eligibility for higher studies.
Exchange students applying for courses within the departments own agreements will be given first priority. Then will - in turn - candidates within the Faculty agreements, central exchange agreements and other departmental agreements be selected.
This application round is only intended for nominated exchange students. Information about deadlines can be found in the e-mail instruction that nominated students receive.
The application period is closed.