MATH 2310

This course is a rigorous study of the metric topology of the real line, sequences of real numbers, continuity of functions on the real line, and sequences of functions on real line. Compactness in higher-dimensional Euclidean spaces and the concept of a metric will also be discussed. Additional topics may include elementary asymptotics, power series, uniform convergence and uniform continuity, and Riemann sums and integration. Classes 3 hrs. plus recitation 1 1/2 hrs. a week.