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Santa Fe Institute

Ordinary Differential Equations

Santa Fe Institute via Complexity Explorer


This tutorial contains excerpts from Elizabeth Bradley's Nonlinear Dynamics course.  Note that Complexity Explorer tutorials are meant to introduce students to various important techniques and to provide illustrations of their application in complex systems.  A given tutorial is not meant to offer complete coverage of its topic or substitute for an entire course on that topic.   

This tutorial is designed for more advanced math students who have taken Calculus.   



  1. Ordinary Differential Equations (Liz Bradley)
  2. Nonlinearity and nonintegrability
  3. ODEs, vector fields, and dynamical landscapes
  4. Introduction to ODE Solvers
  5. Forward and Backward Euler
  6. Solving Simple Harmonic Oscillator ODEs
  7. ODE Solvers: Error and Adaptation
  8. Production ODE Solvers
  9. Numerical Dynamics
  10. Unit 3 Homework


Taught by

Elizabeth Bradley


5.0 rating, based on 3 Class Central reviews

Start your review of Ordinary Differential Equations

  • Davide Vignoni
    For me, this course has been a very useful review of topics, calculation methods and techniques that I have already studied. All this subjects are arranged in a very useful way! Thank you very much!
  • Santa Fe Institute and the Complexity Explorer program are the best in the complexity studies and nonlinear dynamics fields. Learning with them means more that just the knowledge you get.
  • Anonymous
    good course, fast and concrete, in addition, the written material provided by the teacher is easy to understand and a good guide

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