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Høst 2019

MAT-3300 Algebra 2 - 10 stp


The course is administrated by

Faculty of Science and Technology

Type of course

The course is included in the study program Mathematics - master. It may also be taken independent of study program upon approval of the Department of mathematics and statistics.

Course contents

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.

Application deadline

Applicants from Nordic countries: 1 June for the autumn semester and 1 December for the spring semester. Applicants from outside the Nordic countries: 1 October for the spring semester and 15 April for the autumn semester.

Admission requirements

Bachelor of science degree in mathematics or equal. Recommended prerequsites is MAT-2300 Algebra 1. Application code is 9371.

Objective of the course

The candidate shall obtain solid knowledge in selected topics beyond Algebra 1:

Language of instruction

The language of instruction and the syllabus is English. Examination questions will be given in English, but may be answered either in English or a Scandinavian language.

Teaching methods

Lectures: 40 h
Coursework: 30 h

Assessment

One oral exam counting 100%.

Assessment scale: Letter grades A-F.

Coursework requirements
A passing grade is required on the mandatory homework sets for permission to take the exam.


Course overlap

MA-330 Algebra II 10 stp
Lectures Autumn 2019
First attendance: Mon 19th Aug, 10:15, Room A152, Realfagbygget
Lectures prof. Cordian Benedikt Riener
Coursework prof. Cordian Benedikt Riener