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. MATH226.1 is the first of these three parts.
In MATH226.1, we will discuss biological and physical models that can be expressed as differential equations with one or two dependent variables. We will discuss geometric/qualitative and numerical techniques that apply to all differential equations. When possible, we will study some of the standard symbolic solution techniques such as separation of variables and the use of integrating factors. We will also study the theory of existence and uniqueness of solutions, the phase line and bifurcations for first-order autonomous systems, and the phase plane for two-dimensional autonomous systems. The techniques that we develop will be used to analyze models throughout the course.
For additional information on obtaining credit through the ACE Alternative Credit Project, please visit here.
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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.
Dmitrijs Kass is taking this course right now, spending 4 hours a week on it and found the course difficulty to be easy.
A great course! One of the best I have ever seen.
1. The course progresses systemically from simple to more complex with comprehensive explanations and examples that illustrate the concept being explained. For me the pace is optimal.
2. Perfect combination of theory, conceptual quizzes, examples to be solved by hand and examples to be solved in MATLAB.
3. Professor has a nice sense of humor and adds jokes where suitable. This makes this course not only valuable, but also enjoyable.
My sincere gratitude to prof. Paul Blanchard and his team at Boston University!
P.S. I have market the course difficulty as "easy" because if you have no problem differentiating and integrating then this course just teaches you new ways of applying these concepts to solve differential equations.
Bartcompleted this course, spending 6 hours a week on it and found the course difficulty to be medium.
Excellent introduction to the subject in three parts. Next to techniques, the course also spends a lot of time on conceptual understanding and how/where differential arise in practice/physical applications.
The prof has relaxed and easy to follow lecturing style and the course staff in highly involved and helpful in the forum.
A little calculus (differentiation and some integration) background required, but the course is rather easy going.
Maboroshicompleted this course, spending 2 hours a week on it and found the course difficulty to be medium.
This is a nice introductory course to differential equations. The lectures and slides are elaborate, and even you have no prior background to what differential equations are, you can get there. Strongly recommend!