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Analysis I
MATH 513
Fall 2019
Section: 01  
This course may be repeated for credit.

MATH513 and MATH514 constitute the first-year graduate course in real and complex analysis. One semester will be devoted to real analysis, covering such topics as Lebesgue measure and integration on the line, abstract measure spaces and integrals, product measures, decomposition and differentiation of measures, and elementary functional analysis. One semester will be devoted to complex analysis, covering such topics as analytic functions, power series, Mobius transformations, Cauchy's integral theorem and formula in its general form, classification of singularities, residues, argument principle, maximum modulus principle, Schwarz's lemma, and the Riemann mapping theorem.
Credit: 1 Gen Ed Area Dept: None
Course Format: LectureGrading Mode: Graded
Level: GRAD Prerequisites: None
Fulfills a Major Requirement for: (MATH)
Past Enrollment Probability: 90% or above

Last Updated on JUN-16-2019
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