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Algebraic Structures

  • Number of credits 7.5 Credits
  • Level Bachelor's level
  • Starting Spring Term 2018

Admitted to the course

Here you will find everything you need to know before the course starts.

About the course

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.

Application and eligibility

Algebraic Structures, 7.5 hp

Det finns inga tidigare terminer för kursen Spring Term 2018 Det finns inga senare terminer för kursen

The information below is only for exchange students

Starts

Lectures begin on week starting 19 March 2018

Ends

Lectures end during the week of 28 May 2018

Study location

Umeå

Language

English

Type of studies

Daytime, 50%

Required Knowledge

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.
 

Selection

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.

Application code

UMU-A5809

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.

Contact us

Contactperson for the course is: Study counselor Lars-Daniel Öhman

Please be aware that the university is a state body and that what you write here can be included in a public document. Therefore, be careful if you are writing about sensitive or personal matters in this contact form. If you have a such an enquiry, please call us instead. All data will be treated in accordance with The Personal Data Act.

Course is given by
Dept of Mathematics and Mathematical Statistics