Analysis I
MATH 514
Fall 2011 not offered
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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. |
Essential Capabilities:
None |
Credit: 1 |
Gen Ed Area Dept:
None |
Course Format: Lecture | Grading Mode: Graded |
Level: GRAD |
Prerequisites: None |
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Fulfills a Requirement for: (MATH) |
Additional Requirements and/or Comments: Graduate course, open to qualified undergraduates. Undergraduates may take this course up to two times for a letter grade and up to four times for credit towards graduation. |
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