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Tutorials for Complex Systems

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 techniques and to provide illustrations of their application in complex systems.  A given unit is not meant to offer complete coverage of its topic or substitute for an entire course on that topic.   

The units included during this offering of the course are:


(1) Introduction to differential equations (David Feldman)

(2) Ordinary differential equations (ODEs) and numerical ODE solvers (Liz Bradley)

(3) Functions and iteration (David Feldman)

(4) Maximum entropy methods  (Simon DeDeo)

(5) Random Walks (Sid Redner)

(6) Vector and matrix algebra (Anthony Rhodes)

(7) Introduction to information theory (Seth Lloyd)

 
Coming soon:
 

(8) Introduction to Computation Theory  (Josh Grochow)

(9) Optimization Methods  (Eric Libby)

(10) Renormalization methods (Simon DeDeo)

 

Other units to be developed over time. 

Syllabus

 

 

5 Student
reviews
Cost Free Online Course
Pace Self Paced
Institution Santa Fe Institute
Language English
Hours 4-8 hours a week
Calendar
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What are MOOCs?
MOOCs stand for Massive Open Online Courses. These are free online courses from universities around the world (eg. Stanford Harvard MIT) offered to anyone with an internet connection.
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To register for a course, click on "Go to Class" button on the course page. This will take you to the providers website where you can register for the course.
How do these MOOCs or free online courses work?
MOOCs are designed for an online audience, teaching primarily through short (5-20 min.) pre recorded video lectures, that you watch on weekly schedule when convenient for you.  They also have student discussion forums, homework/assignments, and online quizzes or exams.

5 reviews

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6 months ago
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Anonymous completed this course.
The course was a great introduction of Random Walks and I particularly liked the way the Central Limit Theorem is proved using the fourier transform.

It would have been nice to have something about the specifics of Brownian motion and stochastic processes.

But great nevertheless
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9 months ago
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Anonymous completed this course.
I'm surprised because it was what I was looking to start my research project. The explanation of topic by professor Dedeo is simply spectacular.
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a year ago
Marat Minshin partially completed this course.
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2 years ago
Gaetano Pagani completed this course.
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6 months ago
Simon Crase completed this course.
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