The Cosmology Large Angular Scale Surveyor (CLASS) is an experiment designed toconstrain the amplitude of primordial gravitational waves generated duringinflation. CLASS will do this by measuring the largest angular scales of the skyat 40, 90, 150, and 220 GHz across 70% of the sky to characterize all knownsources of polarized microwave emission at these frequencies, the Galacticsynchrotron and thermal dust emission, and the cosmic microwave background(CMB). This thesis begins by describing the CMB and how it is generated, as wellas enumerating the Galactic foregrounds that must be removed in order to accurately characterize the CMB. I then describe in detail an optimal method forremoving foregrounds while constraining the primordial gravitational waves;;amplitude. I then use a power spectrum method to show that CLASS will be able touse its large angular scale data to constrain the reionization optical depth tonear its cosmic variance limit, and describe how this will enable a measurementof the effects of massive neutrinos on galaxy clustering.
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How to see the forest for the trees: Constraining the large-scale cosmic microwave background in the presence of polarized Galactic foregrounds