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.
To understand at an operative level the concepts of Galois extension and Galois correspondence. Ability to solve equations with algebraic methods.
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
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
24h lectures + 12h exercises (4h+2h / week) + self-study
Ian Stewart: Galois Theory, 3rd edition.
Substitutes for Courses
MS-C1081 Abstract Algebra or similar.
- Teacher: Camilla Hollanti