Complex Analysis

These notes follow Yale’s MATH310: Complex Analysis as taught by Prof. Franco Vargas Pallete in Fall 2021. The course follows Complex Analysis by Theodore Gamelin, an undergraduate introduction to the field. The course covered roughly the first 9 chapters of Gamelin’s text touching on functions of comlpex variables, differentiability of complex functions, complex integration, Cauchy’s theorem, series expansions, calculus of residues, and conformal mapping.

1. Review Guide: An overview of important definitions, theorems, and relevant proofs for MATH310

2. Gamelin Complex Analysis: Handwritten notes from the first 9 chapters of Gamelin’s text. Certain sections are occasionally ommited in line with the MATH310 syllabus