Nonlinear Differential Equations: Order and Chaos

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edX online courses
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Harvard University, the Massachusetts Institute of Technology, and the University of California, Berkeley, are just some of the schools that you have at your fingertips with edX. Through massive open online courses (MOOCs) from the world's best universities, you can develop your knowledge in literature, math, history, food and nutrition, and more. These online classes are taught by highly-regarded experts in the field. If you take a class on computer science through Harvard, you may be taught by David J. Malan, a senior lecturer on computer science at Harvard University for the School of Engineering and Applied Sciences. But there's not just one professor - you have access to the entire teaching staff, allowing you to receive feedback on assignments straight from the experts. Pursue a Verified Certificate to document your achievements and use your coursework for job and school applications, promotions, and more. EdX also works with top universities to conduct research, allowing them to learn more about learning. Using their findings, edX is able to provide students with the best and most effective courses, constantly enhancing the student experience.

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Course Description

Phenomena as diverse as the motion of the planets, the spread of a disease, and the oscillations of a suspension bridge are governed by differential equations. MATH226x is an introduction to the mathematical theory of ordinary differential equations. This course follows a modern dynamical systems approach to the subject. In particular, equations are analyzed using qualitative, numerical, and if possible, symbolic techniques.

MATH226 is essentially the edX equivalent of MA226, a one-semester course in ordinary differential equations taken by more than 500 students per year at Boston University. It is divided into three parts. MATH226.3x is the last part.

For additional information on obtaining credit through the ACE Alternative Credit Project, please visit here.

Reviews 9/10 stars
3 Reviews for Nonlinear Differential Equations: Order and Chaos

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10/10 starsCompleted
3 years ago
Another MOOC classic! Thanks again Prof. Blanchard and to Kyle Vigil for a top notch Math course. Let's see more from BUx!!
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10/10 starsCompleted
  • 26 reviews
  • 24 completed
3 years ago
This is the 3rd of a series of 3 courses which together comprise a first University Differential Equations course . Thus this course only gives a first insight into differential equations . But like the other 2 courses of this series which i highly recommend to take first , it is extremely well made . Topics inlude the Jacobian Matrix , the Hamiltonian and Gradient systems , Lyapunov functions (the course teaches the understanding of all of these topics extremely well) and a look at the Lorenz Attractor .
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John Fu

7/10 starsCompleted
3 years, 8 months ago
A good but basic overview of non-linear differential equations from an applications perspective. The focus was on graphing phase planes and translating various data points on them into real-life conditions. I found the course to be too heavy on the visualization and would have liked more mathematical theory and delving into techniques for solving nonlinear differential equations on paper. However, the instructor did a good job given the time constraints and scope - to delve any deeper and not sacrifice the quality of the course would require more time. I would have liked to see more "real world" applications - the glider equation is nice, but how do engineers who design gliders use them? Why is the double pendulum important and how does it apply to real life? How do mathematicians, physicists, and engineers use phase planes for their jobs?
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