MS-E1111 - Galois Theory D, Lecture, 28.2.2023-13.4.2023

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Please note! Course description is confirmed for two academic years, 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: 28.02.2023 - 13.04.2023

Teacher in charge (valid for whole curriculum period):

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

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

CEFR level (valid for whole curriculum period):

Language of instruction and studies (applies in this implementation):

Teaching language: English. Languages of study attainment: English

CONTENT, ASSESSMENT AND WORKLOAD

Content

  • valid for whole curriculum period:

    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 for whole curriculum period:

    Lectures, homework.

     

Workload

  • valid for whole curriculum period:

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

     

DETAILS

Substitutes for Courses
Prerequisites

FURTHER INFORMATION

Further Information

  • valid for whole curriculum period:

    Teaching Language : English

    Teaching Period : 2022-2023 Spring IV
    2023-2024 No teaching

    Enrollment :

    Registration takes place in Sisu (sisu.aalto.fi).

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