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Bilkent University

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Undergraduate and Graduate Programs 2023-2024

MATH 215 Mathematical Analysis

The real number system. The complex field. Finite, countable, uncountable sets. Metric spaces. Compact sets, connected sets. Sequences, Cauchy sequences. Series of numbers, summation by parts. Continuity, uniform continuity. Continuity and compactness, continuity and connectedness. Sequences and series of functions. Uniform convergence and continuity/integration/differentiation. Credit units: 3 ECTS Credit units: 5, Prerequisite: MATH 102 or MATH 106 or MATH 114 or MATH 116.

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