Galois Theory, U Glasgow course

An Introduction to Galois Theory

In this course the focus is on the following topics:
• The
solution of polynomial equations over a field, including relationships
between roots, methods of solutions and location of roots.
• The structure of finite and algebraic extensions of fields and their automorphisms.
We
will study these in detail, building up a theory of algebraic
extensions of fields and their automorphism groups and applying it to
solve problems about roots of polynomial equations.

A newer version of these course notes can be found at:
    https://www.ams.org/open-math-notes/omn-view-listing?listingId=110819
Solutions to exercises for the newer version can be found at:
     http://www.maths.gla.ac.uk/~ajb/dvi-ps/Galois-solutions.pdf