In the course, classical abstract algebra is studied, where concepts such as groups, rings, integral domains and fields, as well as residue classes, ideals, and isomorphisms are central. Applications of the fundamental theory of these structures is given in combinatorics, cryptology and coding theory.
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 the 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
Starts
20 March 2024
Ends
2 June 2024
Study location
Umeå
Language
English
Type of studies
Daytime,
50%
Required Knowledge
The course requires 60 ECTS in mathematics and mathematical statistics at least two years university studies and in both cases courses in Discrete Mathematics and Linear Algebra or equivalent. Proficiency in English equivalent to the level required for basic eligibility for higher studies. Where the language of instruction is Swedish, applicants must prove proficiency in Swedish to the level required for basic eligibility for higher studies.
Selection
Students applying for courses within a double degree exchange agreement, within the departments own agreements will be given first priority. Then will - in turn - candidates within the departments own agreements, faculty agreements, central exchange agreements and other departmental agreements be selected.
Application code
UMU-A5815
Application
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.
