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Academic Year 2005/2006


Analysis I
MATH 513 FA

This course may be repeated for credit.

Math 513 and Math 514 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' lemma, and the Riemann mapping theorem.

MAJOR READINGS

To be announced.

EXAMINATIONS AND ASSIGNMENTS

To be announced.

ADDITIONAL REQUIREMENTS and/or COMMENTS

Graduate course, open to qualified undergraduates.

COURSE FORMAT: Lecture

REGISTRATION INFORMATION

Level: GRAD    Credit: 1    Gen Ed Area Dept: NONE    Grading Mode: Graded   

Prerequisites: NONE

SECTION 01

Instructor(s): Keane,Michael S.   
Times: ..T.R.. 10:30AM-11:50AM;     Location: SCIE638;
Reserved Seats:    (Total Limit: 15)
SR. major: 1   Jr. major: 1
SR. non-major: X   Jr. non-major: X   SO: X   FR: X

Special Attributes:
Curricular Renewal:    Quantitative Reasoning
Links to Web Resources For This Course.

Last Updated on MAR-30-2006


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