MATH 571 Real Analysis 1
Real number systems: least upper bound property, Archimedean property and their consequences; Basic topology: cardinality, metric spaces, completeness, compactness, connectedness; Numerical sequences and series: convergence tests, upper-lower limits; Continuity: continuous functions, uniform continuity, Intermediate and Extreme Value Theorems; Differentiability; L’Hospital’s Rule, Taylor’s Theorem. Time permitting, instructors may add more material that exemplifies the above topics. Prerequisite recommended: MATH 215 and MATH 267. Not open to students who have credit in MATH 471.