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A cutting-edge introduction to modern astrophysics for those potentially interested in further study, building your expertise in how to apply the tools of physics and mathematics to astronomical situations. We start by explaining how stars shine, and follow their evolution from birth to violent death. We explore the physics of our planetary system and strange new worlds around other stars. We then move out into the cosmos, viewing our own Galaxy across the electromagnetic spectrum: revealing the evidence for dark matter and supermassive black holes. Finally, we use our telescopes as time machines to look out and back in the Universe, studying other galaxy systems, and the origin and fate of the whole Universe. This course requires some mathematical skills; please contact the course organiser for details.