MATH 472: Real Analysis

Prerequisite: MATH 372, passed with grade C -- or better

  • Textbook (required): S. G. Krantz, Real Analysis and Foundations, CRC Press, 1991.
  • Goals and Objectives of the Course: This is a second course in real analysis, which, together with complex analysis, provides solid background in rigorous, axiomatic mathematics. This course develops the already familiar material like sequences, limits, continuity, differentiation, integration, and series, at a greater depth as well as introduces entirely new concepts from point-set topology, infinite sequences and series of functions, functions of several variables, Rieman-Stieltjes integral, metric spaces and others.
  • Class Procedures: The majority of each class period will be lecture oriented. You are expected to attend the lectures, take your own lecture notes, read the textbook and do the homework problems.
  • Course Requirements: There will be weekly homework assignments and two takehome tests. A significant part of the grade will depend on the homework and class participation.
  • Attendance Requirements: Regular attendance is expected. You are responsible for all material covered in this class as well as material from the textbook which is assigned but not covered in class.
  • Changes: The course plan may be modified during the semester. Such modifications will be announced during class periods. You are responsible for keeping abreast of such changes.