Exercises for the cosmology block course

Though on exercises for the Cosmology Block course:

Day 1: Newtonian cosmology:
   Exercise: things to do with the collapsing top hat:
   -- explain that (in three days) we'll see that overdose parts of the Universe
can be treated as Newtonian Universes
  -- the collapsing sphere:
     -- toy-problem
     -- "virializing"
     -- properties
     -- application to the Milky Way:
        we take v_circ --> v_virial --> mass, size, etc..


Day 2: Friedman-Robertson Walker Universe
    -- code up, and plot, the angular diameter distances; luminosity distances
       as a function of cosmological parameters;
   -- what are the uncertainties implied by current cosmol. parameter uncertainties
       (which we prod ad hoc at this point)
    -- application: what's size of a galaxy at z=0.5,2,7
    [TOO Early; move all of this to day 3?]

Day 3: Linear growth of structure etc...
    -- code up the solution of contrast growth for non-trivial (i.e. realistic) cosmological parameters
    -- compare the (linear) growth of structure between toy-cases of cosmological parameters
    -- do top-hat now in a cosmological context  
    -- or code up and plot Press-Schechter