Understanding Cosmic Acceleration: Connecting Theory and Observation ================================================================== The mysteries of cosmic acceleration at early and late times are two of the biggest questions confronting cosmologists today. The initial conditions of the Big-Bang are thought to have been set during ``inflation'', an era of almost exponential expansion in the primordial universe, which also provides a mechanism to generate the primordial fluctuations which are seen today in the cosmic microwave background (CMB) radiation. Current cosmological data are, for the first time, precise enough to allow detailed observational tests of inflationary models. I will describe current and future efforts to understand the microphysics of inflation, focusing in particular on CMB data. Intriguingly, the cosmological expansion may be accelerating once again, as confirmed by several independent data-sets. These observations can be explained if the universe is dominated by a negative-pressure component, ``dark energy'', which makes up roughly three-quarters of the cosmological energy density. Theoretical models for the dark energy include the cosmological constant and a dynamical component. I will show how tools previously used to extract information about inflationary models can be brought to bear on the problem of constraining the physics of dark energy, and discuss the prospects for future observations.