MATH8701

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MATH 8701 - Complex Analysis (3 Cr.)

School of Mathematics (11133) TIOT - College of Science and Engineering

Course description

Foundations of holomorphic functions of one variable; relation to potential theory, complex manifolds, algebraic geometry, number theory. Cauchy's theorems, Poisson integral. Singularities, series, product representations. Hyperbolic geometry, isometries. Covering surfaces, Riemann-Hurwitz formula. Schwarz-Christoffel polygonal functions. Residues.

Minimum credits

3

Maximum credits

3

Is this course repeatable?

No

Grading basis

AFV - A-F or Audit

Lecture

Fulfills the writing intensive requirement?

No

Typically offered term(s)

Every Fall