This is a great lecture, and Prof Jerison seems a very good teacher.However, although I followed and understood this without any problems, this is only because *I am familiar with the notion of integral anyway*, having already covered it in my mathematical education up to this point.If this lecture was my first exposure to this stuff, I think I'd have been pretty confused about what was going on, with the speed that Jerison went and the way in which he introduced the concepts and notations: the integral sign and the dx on the end just suddenly appearing out of nowhere.On the MIT website, it says that no prior knowledge of calculus is required to take this course: although this is technically true, I think I'd struggle if I'd never seen any of this before.####[]