Phys/Astro 228: Extragalactic Astronomy and CosmologySeptember 8 2006C.–P. MaProblem Set 1Due: Friday September 15 in classHomework Policy:No late homework. You should make all efforts to solve the problems entirelyon your own. You may consult a classmate for inspiration if you are really stuck, but once you havereceived the hints, you should re-solve and write up the solutions by yourself.Readings: Chapter 1 of Dodelson and Sec 19.1 of “Big Bang Cosmology” from Reviewof Particle Physics (see link at course website).The latter is a brief summary of a subset ofthe equations we have derived in class. Note two differences in conventions: (1) We use dimensionlessaand they use dimensionalRfor the scale factor; (2) Our cosmological constant Λ is included in theenergy densityρin the Friedmann equation while they write it out as a separate term in their (19.8).1.Time Evolution ofΩAs we discussed in class, the density parameter Ω generally is not a constant in time.
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