MATH5583

MATH 5583 - Complex Analysis (4 Cr.)

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

MATH 5583 - Complex Analysis (4 Cr.)

Course description

Algebra, geometry of complex numbers. Linear fractional transformations. Conformal mappings. Holomorphic functions. Theorems of Abel/Cauchy, power series. Schwarz' lemma. Complex exponential, trig functions. Entire functions, theorems of Liouville/Morera. Reflection principle. Singularities, Laurent series. Residues.

prereq: 2 sems soph math [including [2263 or 2374 or 2573], [2283 or 3283]] recommended

Minimum credits

4

Maximum credits

4

Is this course repeatable?

No

Grading basis

OPT - Student Option

Lecture

Requirements

001186

Credit will not be granted if credit has been received for:

00070

Typically offered term(s)

Every Fall, Spring & Summer