autumn 2020
MAT3300 Algebra 2  10 ECTS
Course content
The course is devoted to solutions of algebraic equations. It starts with field extensions, Galois theory and roots of polynomials in one variable. Abel¿s theorem on insolvability of the quintic is one of the highlights. Then the course focusses on polynomials in several variables, covering Gröbner basis as an effective computation tool. Finally, the general theory of zeros of polynomial ideals is expressed in the language of algebraic geometry.Objectives of the course
The candidate shall obtain solid knowledge in selected topics beyond Algebra 1: understand the theory of field extensions and algebraic numbers;
 be able to compute Galois groups of polynomials and construct the corresponding extensions
 Manage calculations with Gröbner bases by hand and with symbolic packages;
 Know basics of algebraic geometry, including the correspondence between varieties and prime ideals.
 About the course
 Campus: Tromsø 
 ECTS: 10
 Course code: MAT3300
 Responsible unit
 Institutt for matematikk og statistikk
 Kontaktpersoner
