The real analysis portion of the exam focuses mainly on material covered in the first course and a portion of the second of the two-semester sequence Analysis I and Analysis II (Math 645 and Math 745). Source material for the exam can be found in the standard introductory graduate texts on real and functional analysis (a sample is listed below). A knowledge of advanced calculus is assumed as covered in the introductory analysis and advanced calculus courses Math 480–481 and Math 545–546, material that can be found in such texts as “Mathematical Analysis” by Apostol and “An Introduction to Analysis” by Wade.