In this course we’ll explore complex analysis, complex dynamics, and some applications of these topics. Complex analysis is the study of functions that live in the complex plane, i.e. functions that have complex arguments and complex outputs. In order to study the behavior of such functions we’ll need...

In this course you'll learn about the tools used by scientists to understand complex systems. The topics you'll learn about include dynamics, chaos, fractals, information theory, self-organization, agent-based modeling, and networks. You’ll also get a sense of how these topics fit together to help...

Introduction to Dynamical Systems and Chaos

Agent-Based Modeling in NetLogo

This course covers several mathematical techniques that are frequently used in complex systems science.   The techniques are covered in independent units, taught by different instructors.  Each unit has its own prerequisites.  Note that this course is meant to introduce students to various important...

Nonlinear Dynamics (with calculus)

In this class, you will learn how to think with models and use them to make sense of the complex world around us. We live in a complex world with diverse people, firms, and governments whose behaviors aggregate to produce novel, unexpected phenomena. We see political uprisings, market crashes, and a...

This introduction to engineering course will help you learn modeling and analysis techniques for electrical, mechanical, and chemical systems and discover how engineered systems that seem very different are actually very similar. Students in this class will learn modeling and analysis techniques applicable...

The course is an interdisciplinary course, focused on the emerging science of complex networks and their applications. The material includes the mathematics of networks, their applications to biology, sociology, technology and other fields, and their use in the research of real complex systems in nature...

This course provides a broad introduction to the field of nonlinear dynamics, focusing both on the mathematics and the computational tools that are so important in the study of chaotic systems.  The course is aimed at students who have had at least one semester of college-level calculus and physics...

Learn how to model social and economic networks and their impact on human behavior. How do networks form, why do they exhibit certain patterns, and how does their structure impact diffusion, learning, and other behaviors? We will bring together models and techniques from economics, sociology, math...

Write Python code to find numerical solutions to systems of differential equations. The models you create will fight wildfires, bring spaceships back to earth, and more!

Getting a grip on complex, uncertain multi actor problems. About this Course Solving Complex Problems addresses complex multi actor systems; so called ‘spaghetti situations’ in which everything is connected to everything, and everything influences everything. Situations, for instance, in which innovative...

Information Theory and Network Biology

An advanced introduction to nonlinear dynamics, with emphasis on methods used to analyze chaotic dynamical systems encountered in science and engineering. The theory developed here (that you will not find in any other course :) has much in common with (and complements) statistical mechanics and field...

This course will teach you the first principles of complexity, uncertainty, and how to make decisions in a complex world.