M382 Real Analysis

..MATH 382 : Real Analysis I (E) 4 (3+1+0) credit hours Basic properties of the field of real numbers, completeness axiom, countable sets, Sequences and their convergence, monotone sequence, BolzanoWeierstrass theorem, Cauchy criterion, Basic topological properties of the real numbers, Limit of a function, continuous functions and properties of continuity, uniform continuity, compact sets, The derivative of a function, mean value theorem, LHospital rule, Taylor theorem. Prerequisite: MATH 201
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