What makes a system a complex system? In the introductory part of this course, we will explore the many properties shared among seemingly completely different complex systems. We will focus particularly on emergence, which occurs when a system exhibits a collective behavior that its individual parts do not have on their own. 

The study of complex systems requires the help of a powerful toolbox containing techniques and concepts borrowed from math, physics, sociology, computer science, data science, and beyond. In this module, we will learn more about the necessary tools to model complex systems. Some examples include agent-based models, cellular automata, and networks.  

In the final part of the course, we will apply all the concepts and methods learned in the previous modules to investigate real-life complex systems.  Our case studies will range from financial markets and political systems to artificial intelligence and global climate.