Most of the top universities that offer a doctorate program in physics would most likely have a course or group of courses in cosmology. Many of the applicants to this program would either be striving for a physics or astronomy degree. Plus, very few jobs require anything less than a doctorate degree. According to the website, American Astronomical Society, there are a number of colleges that have astronomy departments and in turn would offer a cosmology class.
Some of these universities would include Agnes Scott College, University of Alabama at Huntsville, Arizona State University, Ball State University, Barnard College, Benedictine College, Boston University, Bowling Green State University, Brigham Young University, University of California at Berkeley, Los Angeles, and Calvin College in Michigan, to name a few.