##
Physics 410/510 First Homework Assignment
Due: Jan 24 at the end of Class

1. Find some Cosmological N-body simulations on the World Wide Web
and look at them. Here is a good place to start .
Describe their components and the overall behavior of the simulation
in terms of predictions that you would make about the observable
Universe. What are some of the limitations of these simulations?

2. Integrate equation 20 to
produce equation 23.

3. Using the expression for critical density determine the critical
density in grams per cubic centimeter when H is in units of
100 km/s Mpc^{-1}

4. We will later make use of a quantity known as the * dynamical
timescale *. Give a physical argument that shows why this
timescale goes as:

(G*rho)^{-1/2}
where rho = density.

5. Verify that rho goes as R(t)^{-3} is the solution to
equation 30.