Introduction to Computation Theory is an overview of some basic principles of computation and computational complexity, with an eye towards things that might actually be useful without...

Machine Learning is a fast growing, rapidly advancing field that touches nearly everyone's lives. There has recently been an explosion of successful machine learning applications - in everything...

This tutorial contains excerpts from Elizabeth Bradley's Nonlinear Dynamics course.  Note that Complexity Explorer tutorials are meant to introduce students to various...

This tutorial contains excerpts from David Feldman's Dynamical Systems course.  Note that Complexity Explorer tutorials are meant to introduce students to various important...

This course covers several mathematical techniques that are frequently used in complex systems science.   The techniques are covered in independent units, taught by different...

This tutorial introduces students to essential ideas related to vectors and matrices.  These mathematical structures form the foundations for many key topics in complex systems, such...

We will begin by viewing fractals as self-similar geometric objects such as trees, ferns, clouds, mountain ranges, and river basins.  Fractals are scale-free, in the sense that there is...

In this course you'll gain an introduction to the modern study of dynamical systems, the interdisciplinary field of applied mathematics that studies systems that change over time.  Topics to...