These are lectures given at the 2019 PCMI Undergraduate Faculty Program. The topic of the lectures was Morse theory and handle bodies.
 Cobordisms and Morse Functions.
 Handlebody Decompositions.
 Surfaces (Kirby pictures, classification, and diffeomorphisms).
 Hcobordism theorem.
 Heegaard Splittings of 3manifolds.
 Cerf and Smale Thoery.
 Extra Lectures
 Corners, rounding, glueing, and cutting.
 Jet Spaces.
 Morse Lemma.
