Apply the Einstein equations to derive Freidmann's equation and from there set up and explore basic models.

Derive a universe model based on Newtonian cosmology and modify this to account for relativistic effects.

Correlate theory with observed data including object counts, color evolution, WMAP data, LyAlpha forests, etc.

Use arguments from first principles and a review of the literature to explain the evidence for dark energy.

Conduct an in-depth literature search on one aspect of the course material of their choosing and present the results in a paper.