These were some notes I wrote for a friend almost a year ago. They’re meant to be an introduction to Galois theory so someone with no prior knowledge of group theory could get an idea of what it meant “for a field to have a Galois group” without learning any extra details.
That being said they’re kind of rapid-fire. Not meant for digesting but meant for doing, and doing fairly quickly. Not to be taken too rigorously, as I’ve ignored several problems having to do with set theory or proving axioms like associativity.