MATH 565B Math Analysis I

MATH 565. REAL ANALYSIS I, (Credit, 3 hours). Axioms of the real numbers, supremum, infinum, upper limits, lower limits, open and closed sets in Rp, compactness, the Bolzano-Weierstrass and Heine-Borel Theorems, the Cantor Theorem, uniform continuity, uniform convergence, Riemann and Riemann-Stieltjes integration, and metric spaces.