Paul L. Bailey, Ph.D.
Complex Analysis 2017-2018
Course Syllabus
Logic and Set Summary
Trigonometry Summary
Greek Letters
Integration Summary
Topic I: Sets and Functions
Topic II: Vectors in R^2
Topic III: Complex Numbers
Topic IV: Polynomial Theorems
Topic V: Historical Remarks
Topic VI: Topology of C
Topic VIII: The Real Exponential Function
Topic IX: The Complex Exponential Function
Topic X: Riemann Integration
Topic XI: Complex Integration
Topic XII: Cauchy's Integral Formula (UPDATED 01/29/2018)
Topic XIV: The Riemann Sphere
Topic XV: Mobius Transformations
Topic XVI: Sequences
Topic XVII: Series
Topic XVIII: Compact Riemann Surfaces (UPDATED 05/01/2018)
Resources:
Churchill's Complex Variables 7th edition
Conway Complex Functions 2nd edition
Ahlfors Complex Analysis 3rd edition
Schaum's Outline Complex Variables 2nd edition
Ross: Elementary Analysis