Real analysis is the theory behind calculus. It is based on a precise understanding of the real numbers, elementary topology, and limits. Topologically, nice sets are either closed (contain their limit points) or open (complement closed). You also need limits to define continuity, derivatives, integrals, and to understand sequences of functions. Format: lecture/discussion. Evaluation will be based on homework, classwork, and exams. Prerequisites: Mathematics 105 and 211, or permission of instructor. No enrollment limit (expected: 35).