Introduction: What do we see out there? What we know, what we think and what we are clueless about.
 First solved problem: Gravitational few body dynamics and the motion of the planets and the moon. In particular, deriving the 1/r^2 law from observations and resolving the challenges posed by the large precession of the moon (surprisingly large 3-body effect) and mercury (general relativity).
 Second solved problem: Structure of Stars and White Dwarfs: How do they work? How do we know? Calculating the main properties roughly (analytically) and accurately (numerically) and comparing to observations.
 A little about stellar evolution.
 Some things we know about stellar explosions (supernovae). In particular, demonstrating that supernovae contribute significantly to the abundances of elements heavier than helium and therefore are important for our existence.
 Some things we know about extremely compact objects- neutron stars and black holes.
 The distance ladder and a little about galaxies.