MATH 471 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; Riemann(-Stieltjes) integral and Fundamental Theorem of Calculus. Time permitting, instructors may add more material that exemplifies the above topics.
Prerequisite: C- or better in MATH 215 and MATH 267, or permission of the department chairperson.