Teaching Teaching Courses Real Analysis - AMCS 235 This is a basic introductory graduate level course on Real Analysis. It starts with a review of notions connected with the real analysis of continuous functions including the Ascoli-Arzela Theorem on compactness of sequences of continuous functions, and the Stone-Weierstrass Theorem for the approximation of continuous functions. The main body of the course will be the theory of measure and integration. The last part of the course deals with various topics in Real Analysis, like Differentiation, approximation of $L^p$ functions, and Fourier Series. The