About MATH 6441 A
Complex functions, differentiation and the Cauchy-Riemann equations, power and Laurent series, integration, calculus of residues, contour integration, isolated singularities, conformal mapping, harmonic functions. Prerequisite: Two semesters of real analysis required.
Notes
Prereqs: Two semesters of Real Analysis; Open to Degree and PACE students
Section Description
Emphasis will be placed on preparation for MS and PhD qualifying exams in Complex Analysis. Hopefully we get to a proof of the Prime Number Theorem. Along the way, I will try and use examples like the Weierstrass P-function and modular forms as examples of interesting meromorphic functions that our various expansion theorems will apply to.
Section Expectation
Students need mathematical maturity for this class.
Evaluation
Homework and exams.
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