subject

Complexity Explorer: 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)

(8) Game Theory I - Static Games (Justin Grana)
 
(9) Game Theory II - Dynamic Games (Justin Grana)
 
(10) Introduction to Renormalization (Simon DeDeo)
 
Coming soon:
 
(11) Introduction to Computation Theory (Joshua Grochow)
 
(12) Optimization Methods (Eric Libby and Brendan Tracey)

 

Other units to be developed over time. 

Syllabus

 

 

15 Student
reviews
Cost Free Online Course
Pace Self Paced
Subject Calculus
Institution Santa Fe Institute
Language English
Hours 4-8 hours a week
Calendar

Disclosure: To support our site, Class Central may be compensated by some course providers.

+ Add to My Courses
FAQ View All
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.
How do I register?
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.

15 reviews for Complexity Explorer's Tutorials for Complex Systems

Write a review
2 months ago
profile picture
Anonymous completed this course.
I like the insightful approach. There is no hand-waving but just a few simple and intuitive derivations. Am motivated to read some of the supplementary material.
Was this review helpful to you? YES | NO
3 months ago
profile picture
Anonymous partially completed this course.
This course begin at a point in the matter which don't know it really are. It's like attending in a class in final stage! Too much math without description. Poor and very summarized definition at the beginning then falling into math without knowing why. I was looking for diffusion and random walks to use in social s Read More
This course begin at a point in the matter which don't know it really are. It's like attending in a class in final stage! Too much math without description. Poor and very summarized definition at the beginning then falling into math without knowing why.

I was looking for diffusion and random walks to use in social science and i have strong mathematics background but nothing learned about the subject.

It's just solving some math work without explanation of what is and why is, so i quit.

I suggest to put in prerequisites, being "Undergraduates of fluid physics" !
Was this review helpful to you? YES | NO
2 weeks ago
Szymon Talaga completed this course.
An excellent tutorial! If you are looking for a quick way to pick up basic working knowledge of information theory you do not have to look any further as this course will get you up and running in a few hours. Moreover, it even does not assume too much of a mathematical knowledge. As long as one is well versed with hig Read More
An excellent tutorial! If you are looking for a quick way to pick up basic working knowledge of information theory you do not have to look any further as this course will get you up and running in a few hours. Moreover, it even does not assume too much of a mathematical knowledge. As long as one is well versed with high school algebra (especially logarithms and basic probability theory) everything discussed in this tutorial should be easy to process and understood.
Was this review helpful to you? YES | NO
a month ago
profile picture
Anonymous partially completed this course.
Outstanding introductory tutorial that is supplementing my Stochastic Processes class extremely well. This also clarified classes I took where we simulated Quantum Montecarlo Methods. It provided me a map to work off of for certain understandings I needed. I am working on the supplementary material too. This is a great starting point for self study!
Was this review helpful to you? YES | NO
3 months ago
profile picture
Subhash audited this course, spending 1 hours a week on it and found the course difficulty to be very easy.
It was a great tutorial! I keep using the Matlab's ode45 solver but didn't know how it works, this ODE tutorial answered it and that too in a light and illustrative fashion. Using the same example throughout has also helped in easy understanding.

This review pertains to the tutorial by Elizabeth Bradley.
Was this review helpful to you? YES | NO
a year ago
profile picture
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
Was this review helpful to you? YES | NO
8 months ago
profile picture
Vishnu Reddy completed this course.
Excellent and surprising connections. Some references to rigorous treatment and more example problems will be appreciated. Often it is mentioned about non-renormalization of gravity but no further info is provided.
Was this review helpful to you? YES | NO
4 months ago
profile picture
Anonymous completed this course.
Fascinating physics methods to be applied on a variety of other disciplines.

Simon is doing an impressive work in making this knowledge accessible for lay audience and non-physicists.
Was this review helpful to you? YES | NO
7 months ago
profile picture
Anonymous completed this course.
Very short, complete and well taught tutorials about the tools and mathematical background required for studying, analysing and understanding chaos and complex systems.
Was this review helpful to you? YES | NO
8 months ago
Federico Renda completed this course.
This tutorial is informative and enjoyable, perfect for people new to the subject. Great job! Thanks to Dr. Justin Grana for his time and effort.
Was this review helpful to you? YES | NO
a year ago
profile picture
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.
Was this review helpful to you? YES | NO
8 months ago
profile picture
Anonymous completed this course.
I enjoyed the course and the succinct presentations by Mr Grana. I learned quite a bit and I’m looking forward to Part II.
Was this review helpful to you? YES | NO
2 years ago
Marat Minshin partially completed this course.
Was this review helpful to you? YES | NO
2 years ago
Gaetano Pagani completed this course.
Was this review helpful to you? YES | NO
a year ago
Simon Crase completed this course.
Was this review helpful to you? YES | NO

Class Central

Get personalized course recommendations, track subjects and courses with reminders, and more.

Sign up for free