Please note! Course description is confirmed for two academic years (1.8.2018-31.7.2020), which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.

LEARNING OUTCOMES

To understand at an operative level the concepts of Galois extension and Galois correspondence. Ability to solve equations with algebraic methods.

Credits: 5

Schedule: 02.03.2021 - 08.04.2021

Teacher in charge (valid 01.08.2020-31.07.2022): Camilla Hollanti

Teacher in charge (applies in this implementation): Camilla Hollanti

Contact information for the course (applies in this implementation):

CEFR level (applies in this implementation):

Language of instruction and studies (valid 01.08.2020-31.07.2022):

Teaching language: English

Languages of study attainment: English

CONTENT, ASSESSMENT AND WORKLOAD

Content
  • Valid 01.08.2020-31.07.2022:

    Field extensions, simple extensions, extension degree, normality and separability, field automorphisms, Galois groups, Galois correspondence, solubility and simplicity, impossibility of solving a 5th or higher degree polynomial by radicals.

     

Assessment Methods and Criteria
  • Valid 01.08.2020-31.07.2022:

    Lectures, homework.

     

Workload
  • Valid 01.08.2020-31.07.2022:

    24h lectures + 12h exercises (4h+2h / week) + self-study

     

DETAILS

Study Material
  • Valid 01.08.2020-31.07.2022:

     Ian Stewart: Galois Theory, 3rd edition.

     

Substitutes for Courses
  • Valid 01.08.2020-31.07.2022:

    Mat-1.3110

     

Prerequisites
  • Valid 01.08.2020-31.07.2022:

    MS-C1081 Abstract Algebra or similar.

     

FURTHER INFORMATION

Description

Registration and further information