MATH 6261. Functions of Real Variables I

Course Code MATE 6261
Course Title Functions of Real Variables I
Credits 3
Hours 3 per week
Prerequisites MATH 5201
Description Overview of the following topics: set theory, real numbers, completeness of the real numbers, sequences and series, limits and continuity. Metric and topological spaces. Compactness, connectedness, and completeness. Sequences of functions. Uniform continuity and uniform convergence. Differentiation. Riemann-Stieltjes integration. Lebesgue measure and integration on the real line.
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