autumn 2022
MAT-3300 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.
Information to incoming exchange students
This course is open for inbound exchange student who meets the admission requirements. Please see the Admission requirements" section.
Do you have questions about this module? Please check the following website to contact the course coordinator for exchange students at the faculty: https://en.uit.no/education/art?p_document_id=510412
Examination
| Examination: | Grade scale: |
|---|---|
| Oral exam | A–E, fail F |
Coursework requirements:To take an examination, the student must have passed the following coursework requirements: |
|
| Mandatory homework | Approved – not approved |
- About the course
- Campus: Tromsø |
- ECTS: 10
- Course code: MAT-3300
- Responsible unit
- Institutt for matematikk og statistikk
- Tidligere år og semester for dette emnet