Welcome to the Galois Theory course!
As prerequisites, it is recommended to have taken the Abstract Algebra course (or otherwise possess similar knowledge). This course is less abstract, as we will (mainly) work with number fields, i.e., subfields of the complex numbers. We construct field extensions by polynomials, and study the related relative structures both from a group theoretic viewpoint and from the viewpoint of field extensions. We show an interesting one-to-one correspondence between the so-called Galois groups and field extensions.
This course serves as an excellent starting point for the Algebraic Number Theory course (MS-E1998), which is lectured on the fifth period. In terms of practical applications, algebraic number theory is used in, e.g., cryptography and wireless communications.