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.
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.
Application deadline was
16 April 2018.
The application period is closed.
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.