This document provides an overview of project management methodologies, including Waterfall, SDLC, RAD, and Agile. It discusses the key aspects of each methodology such as phases, pros and cons. The Waterfall methodology is explained in more detail covering its linear phases from requirements to maintenance. Agile project management is also summarized, outlining its key principles of focusing on customer value, working in small batches with integrated teams, and making continuous improvements. Complexity theory and how Agile projects can be viewed as complex adaptive systems is briefly introduced.