Complexity Theory: An Introduction 2015

What you'll learn
The aim of this course is to give you a solid grasp of the core concepts within the domain of complex systems theory
Requirements
There are no prerequisites to this course aside for a firm grasp of the english language and a basic level of general scientific knowledge
Description
"I think the next[21st] century will be the century of complexity" Stephen W. Hawking This course is an introduction to the core concepts of complex systems theory, an exciting new area that is offering us a fresh perspective on issues such as understanding our financial system, the environment and large social organizations. The aim of this course is to bring the often abstract and sophisticated concepts of this subject down to earth and understandable in an intuitive form. After having started with an overview to complex systems this course will focus upon five of the core concepts. Systems: We will start with two sections on systems theory and systems thinking, this should introduce students to the bigger picture of why complex systems is seen as a new paradigm in science; what exactly this new paradigm is; why we need it and lastly how it differs from our traditional methods of scientific inquiry. Nonlinear systems: The term nonlinear science and complex systems are often used interchangeably showing how essential the concept of nonlinearity is to this subject. In this section we draw the distinction between linear and nonlinear systems and see why it matters. The second part of this section covers the subject of chaos theory and the dynamics of nonlinear systems. Network theory: network theory and networks in general have arisen in almost all fields of inquiry in the past few decades making it one of the most active and exciting areas of scientific study. We will explore many different types of networks, their properties and examples in the real world from social networks to logistics networks. This section will conclude by looking at graph theory, the mathematical foundations that lie behind networks. Complex adaptive systems(CAS): CAS is increasingly being used to model a wide variety of systems from, electrical power grids to economies and cultures it represents a powerful new way of seeing the world. This section will also cover CAS's close relative cybernetics and the basic concept of adaptation and evolution. Self-organization: Self-organization is another of the foundational concepts within complex systems that is proving particularly relevant to the world of the 21st century as we see collaborative self-organizing groups such as Wikipedia and the Linux foundation emerge. But self-organization is more than just a social phenomenon, we explore how it is in fact ubiquitous in our world from the formation of fish schools to magnetization and traffic jams. In conclusion a short film on complex systems Is presented to give you an idea of where the subject is today and what are the main challenges going forward. Each subject is broken down into three lessons the first being an introduction to the topic delivered through video. This will be followed by a slide presentation that digs deeper into the main themes introduced in the first lesson, followed up with a quick(optional) quiz to get you thinking.
Overview
Section 1: Complex Systems
Lecture 1 Complex systems: introduction
Lecture 2 Complex systems: Core concepts
Section 2: Systems thinking
Lecture 3 Systems thinking: an introduction
Lecture 4 Systems thinking: Core concepts
Section 3: Systems Theory
Lecture 5 Systems theory: Introduction
Lecture 6 Systems theory: Core concepts
Section 4: Nonlinear Systems
Lecture 7 Nonlinear Systems Theory: an introduction
Lecture 8 Digging deeper: Chaos theory
Section 5: Network Theory
Lecture 9 Network Theory: overview
Lecture 10 Network Theory: digging deeper
Section 6: Complex Adaptive Systems
Lecture 11 Complex adaptive systems
Lecture 12 Complex adaptive systems: digging deeper
Section 7: Self-organization theory
Lecture 13 Self-organization theory
Lecture 14 Self-Organization Digging Deepers
Section 8: Compelxity science
Lecture 15 Complexity science: an introduction
Lecture 16 Complexity science digging deeper
Section 9: Conclusion
Lecture 17 Conclusion: complex systems theory a short film
This course is intended for a broad group of people but will be particularly relevant for those with a background in a technical domain such a some area of math, science, engineering or business