COURSE FACTS
Who is the instructor? Liz Bradley, Professor, University of Colorado, and External Professor, Santa Fe Institute
PROGRAM SUPPORT
How much does it cost? Nothing. The course is completely free.
How is the course funded? The course is funded by the Santa Fe Institute (SFI) through a combination of grants, foundation funding, and by donations from users. If you would like to donate more information can be found here.
PREREQUISITES
Who is the intended audience and what are the prerequisites? This course is intended for people interested in a deep understanding of mathematical and computational approaches to nonlinear dynamical systems. The prerequisites are the following: one semester of college-level calculus (knowledge of derivatives); one semester of college-level physics (basic knowledge of introductory classical mechanics), and computer programming skills (you will be able to use the programming language of your choice).
COURSE CONTENT
What topics are covered? This course is an introduction to the theory and application of nonlinear dynamics. There are 10 units: two on the dynamics of maps (including return maps, bifurcation diagrams, and the Feigenbaum sequence), five on the dynamics of flows (including differential equations and how to solve them), two on nonlinear time-series analysis (embedding, filtering, calculating Lyapunov exponents, etc.), and one on applications (prediction, control of chaos, applications to music & dance).
COURSE DESIGN & USE
How does the course work? Each unit consists of a series of short videos, with each video corresponding to subtopics of the unit's main topic. The course website leads you through the videos in order, allowing you to skip or repeat videos as you desire. You can watch these videos at your own pace and in any order you desire. The videos are interspersed with short homework exercises and quizzes, designed to test your understanding of the material covered in the previous video. At the end of most units there is a test (graded automatically).
COURSE LENGTH
How long is the course designed to take to complete? 11 weeks. We expect that participants will complete about one-half to one unit per week; some will move through the material more quickly, and some more slowly.
HOMEWORK, QUIZZES & TESTS
What about homework exercises and quizzes? Many videos are followed by a short homework exercises or a quiz that is graded automatically. These exercises and quizzes won’t count towards your final grade; their purpose is to allow you to try out simulations, to see how well you have understood the material in the video, and to see what you might need to review.
What about the tests? Most units will be followed by a test. The test will be graded automatically. Some of the problems on these tests will depend on your successful completion of the programming tasks in that unit's homework exercises. Your grade for the course will be based on these tests, each of which counts equally. Everyone who submits all the tests and receives an average score of 70% or above (i.e., averaged over all tests) will receive a certificate of completion. You may use any of the course materials while taking the test, but we request that you do not consult other people, the internet, or AI for answers to test questions.
And homework? Many units include homework assignments. Although your homework will not be graded, we strongly encourage that you do it; it will not only help you to better understand the course material, but also be essential to your success on the tests!
GRADES
How is the course graded? As described above, your grade will be based on the end-of-unit tests. Your total course score will be your average score over these tests. As the course is not for credit, your scores are intended to allow you to track your own progress.
CERTIFICATES
How well do I need to do to receive a certificate, and will the certificate list my grade? You need to have submitted all of the end-of-unit tests, with an average score of 70% or greater (i.e., averaged over all tests), by the course end date in order to receive a certificate of successful completion. Note: You don't need to get 70% or greater on each test, only on the average over all tests. Your total course score will be the average of your test scores. The certificate will not list your total score; it will simply say that you have successfully completed this course. You will be able to print out a copy of your progress report, which does have your test scores, at any time during or after the course.
Can I get university credit for this course? No, Complexity Explorer does offer credit for completion of our courses.
Will I get any kind of certificate? Everyone who successfully finishes the course will receive a certificate of completion from the Santa Fe Institute.
COURSE MATERIALS
Is there a required textbook? No textbook is required. The lectures will be complemented by suggested readings that will be provided on the course web site.
RESOURCES
In what ways am I allowed to use these resources? All the materials on this site are available for your use for any non-commercial purpose. All materials (videos, code, write-ups, etc.) are covered by the Creative Commons Attribution-NonCommercial-ShareAlike License ( http://creativecommons.org/licenses/by-nc-sa/4.0/ ). This states that you may copy, distribute, and transmit the work under the condition that you give attribution to ComplexityExplorer.org, and your use is for non-commercial purposes.
SUBTITLES AND TRANSCRIPTS
Are subtitles available? The Complexity Explorer Project has an on-going project in which users volunteer to create subtitles in different languages. If subtitles are available for a given video they can be accessed in the following way. First, start and pause the video. A tool bar will now be visible along the bottom of the video. Second, click on the gear-shaped button located directly to the right of the “CC” button. A list of available languages will be shown in the middle drop-down menu located in the box the opens after hitting the gear-shaped button. Select the language you would like to use for subtitles and click on it.
How do I download and use subtitles offline? You can download videos and available subtitles to watch offline if you wish. Information on downloading videos is located below under technical requirements.
Can I download a plain text transcript of the video? For any video that has subtitles available, there will also be a plain text transcript (in .txt format) available for download, for each subtitle language available. When you click on Subtitles & Transcripts you will be given all of the language options available, and you can choose to download either the subtitle or the transcript, or both.
ENROLLMENT
Do I have to enroll to take the course? Yes, you need to enroll in order to access the course materials. However, enrollment is easy, quick, and free!
How do I enroll? Go to http://complexityexplorer.org, then to Online Courses, and click the “Enroll” button next to this course. You will be guided through the short enrollment process, and then can immediately begin taking the course.
TIME COMMITMENT
How much time does the course require? You should expect to spend 4-8 hours per unit watching videos, doing homework exercises, and taking quizzes and tests.
COLLABORATION
What are the rules on collaboration? You are free, and encouraged, to discuss anything with anyone! The course website hosts an online forum for students to discuss the course material, homework, etc. We ask that the end-of-unit tests be taken on your own, without collaboration or aide from external sources. We are rely on the honor system for our students to abide by these rules.
What is this Forum you've been talking about? The course website hosts a forum in which course participants can post questions, answers, and otherwise discuss the course materials. The forum is your space to get to know and work collaboratively with your fellow students.
TECHNICAL REQUIREMENTS
How do I get the videos to play at a faster rate (e.g., 2x)? Our videos are streamed through YouTube. You can opt in on YouTube for their html5 player, which allows you to speed up or slow down videos. To opt in, go to http://www.youtube.com/html5.
Can I download the videos directly, rather than watching them via YouTube? Yes, just click on the "Download" button that appears above the video screen on the page for each video. We will also make all the videos for each unit available as zip files on the Supplementary Materials page.
ADDITIONAL INFORMATION
What if I have more questions? Please address any other questions you have to admin@complexityexplorer.org.