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About the content
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.
Syllabus
- how to apply the theory of linear systems to nonlinear systems near equilibrium points
- how to use nullclines to simplify phase plane analysis, and discuss systems with conserved quantities, dissipative systems, and gradient systems
- basic understanding of chaotic systems using the Lorenz system as the primary example.
Instructors
- Paul Blanchard
- Kyle Vigil
Content Designer
Boston University (BU) is an American university located in Boston. With approximately 4,000 faculty and over 33,000 students, Boston University is the fourth largest private university in the United States, as well as the fourth largest employer in the city of Boston.
The university is one of the most famous and prestigious in the country, attracting students from all over the world. BU's faculty and alumni include 8 Nobel laureates, including Martin Luther King.
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