This course is a technical but elementary introduction to the modern understanding of cosmology, intended for non-science students. Proficiency with algebra is required. We will cover advances in cosmology over the last 100 years, with special emphasis on more recent developments in the field. We will cover topics ranging from the early universe to galaxy formation in the present day universe, through the lens of the theory of relativity and the expanding universe. We will cover the Big Bang, the Cosmic Microwave Background, dark matter, dark energy and the associated evidence for these phenomena. This class is mathematically-based; most topics will be explored both qualitatively and quantitatively. Homework and exams will require calculations.