MATH 571 - Real Analysis 1Real and complex number systems: ordered sets, least upper bound property, fields, Archimedean property; 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; Differentiation: derivative, Mean Value Theorem, l'Hospital's Rule, Taylor's Theorem. Prerequisite: MATH 215, 267; or permission of the department chairperson. Not open to students who have credit in MATH 471. College: Sciences and Humanities Hours: 4 Permission: Y Prerequisite: MATH 267 Prerequisite: MATH 215 Co-requisite: none |