The study of complex systems concerns the emergence of collective properties in systems with a large number of interacting components. 

These elements may be atoms, particles or bacteria in a physical or biological context, or people, machines or companies in a socio-economic context. Complexity science seeks to uncover the assumptions and emergent behaviour of such systems, elements that are often invisible to traditional approaches, focusing on the structure of interconnections and the overall architecture of systems, rather than on their individual components.

The course aims to provide the theoretical foundations and analytical and conceptual tools to approach the study of complex systems, although the perspective will necessarily be partial. The course is divided into two parts: the first, which constitutes approximately two-thirds of the course, will deal in detail with fundamental topics; the second will take the form of seminars that will delve into specific research topics related to the study of complex systems.