The course covers several fields in algebra, with special emphasis on how to efficiently solve different problems. In the first part of the course, we study how multiplication of numbers and polynomials can be conducted in a faster way than the usual method. Furthermore, more efficient methods for multiplying matrices are treated. After these initial steps, we go on to studying polynomials, where we investigate how to factorize a polynomial effectively and find roots to it. In the last part of the course we investigate how to find short vectors of integers, when there are conditions on those integers, and how this is related to the theory of polynomials.
Application and eligibility
Advanced Algebra, 7.5 hp
Autumn Term 2018
Lectures begin on week starting 5 November 2018
Lectures end during the week of 14 January 2019
English (upon request)
Type of studies
The course requires a total of 90 ECTS of which 60 ECTS is within Mathematics including a course in Algebraic Structures minimum 7,5 ECTS. 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.
Applicants in some programs at Umeå University have guaranteed admission to this course. The number of places for a single course may therefore be limited.
Please note: This application round is intended only for applicants within the EU/EEA and Switzerland.
Online application service in Swedish will open 15 March 2018 at 13:00 CET.
Application deadline is
16 April 2018.
Application and Tuition fees
As a citizen of a country outside the European Union (EU), the European Economic Area (EEA) or Switzerland, you are required to pay application and tuition fees for studies at Umeå University.