Here are some notes for a year-long graduate course on Floer Theory I taught in 2014. They borrowed heavily from the excellent book Morse Theory and Floer Homology by Audin and Damian. The last few chapters were intended to discuss Abbondandolo and Schwarz' proof that the Floer homology of a cotangent bundle agrees with the singular homology of the free loop space, but alas, I never got round to finishing them. Someday, perhaps...

⚠️ Warning! May Contains Errors! ⚠️