This document is a skeleton of the theoretical content of the Fall 2024 course MS-C1300 Complex Analysis at Aalto University. The skeleton includes statements of results and their logical interdependencies, but no proofs, no examples, and no visualizations.

Instead, the hand-written lecture notes on the course home page correspond to the contents of the lectures. They include discussions of examples and informal ideas as well as the main theorems and their proofs. This theory skeleton is meant to complement the lectures as an organizational document: to indicate the flow of the theory development, and to clarify the main goals of the course and the purposes of the intermediate results.

An attempt is made to provide references to corresponding parts of the textbook: An Introduction to Complex Function Theory (Undergraduate Texts in Mathematics) by Bruce Palka.

This skeleton is work in progress. It is guaranteed to contain mistakes, the number and severity of which will be reduced with updates during the course. Please inform the lecturer Kalle Kytölä of errors that you notice!