Complex Analysis

Course Number 
UM106
Instructor(s) 
Level 
University
Session 
Fall or Spring Semester, Directed Study
Prerequisites 
Real Analysis (UM115)
Additional Recommendations
Advanced experience reading and writing mathematical proofs

Theory of differentiation and integration of complex functions. Topics: algebra of complex numbers, complex functions, multi-valued functions, exponentials, logarithms, analyticity, integrals, power series, Laurent series, residues, isolated singularities, poles and zeros.