Course materials for two-quarter (20 week) graduate course on dynamical systems. (Advanced undergraduates have successfully taken the course.) The courses integrate nonlinear dynamics (low- and high-dimensional systems), symbolic dynamics, information theory, and computation theory. The theme, though, is to show how dynamical systems has (radically) modified how we do science.

Content:
Two quarters (20 weeks) broken down into
i. Nonlinear dynamics: 5 weeks
ii. Symbolic dynamics: 2 weeks
iii. Information theory: 4 weeks
iv. Computation theory: 3 weeks
v. Computational mechanics: 7 weeks

Details of materials:
i. 40 1.5 hour lectures. Video/audio recorded and posted to course website/Youtube.
ii. All lecture slides (~1600) in PDF and with voiceover (on Youtube).
iii. All interactive labs, homeworks, and exams offered online (in browser) via customized version of SAGE (sagemath.org).
iv. AY 2013-2014: Online course to be offered to graduate programs at all 10 UC campuses.
v. AY 2014-2015: Offer as MOOC.