Credits -- 3 (3-0-0)
Term Offered -- Spring, odd numbered years
Prerequisite -- M317
- Topics --
-
The Complex Number System
Power Series
Analytic Functions
Exponential Function
Trigonometric Functions
Branches of the Logarithm
Cauchy-Riemann Equations
Cauchy's Integral Formula
Power Series Representation of Analytic Functions
Zeroes of an Analytic Function
Liouville's Theorem
Fundamental Theorem of Algebra
Index of a Closed Curve
Open Mapping Principle
Singularities
Laurent Series
Residue Theorem
Argument Principle
Maximum Modulus Theorem