Boston University is offering free online course on Nonlinear 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.
In this five-week course, applicants will learn the mathematical theory of nonlinear differential equations and their application to systems such as the pendulum, the glider, and the weather. This course will start on October 3, 2017.
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Course At A Glance
Length: 5 weeks
Effort: 8-10 hours pw
Institution: Boston University and edx
Certificate Available: Yes, Add a Verified Certificate for $49
Session: Course Starts on October 3, 2017
Boston University’s impact extends far beyond our campus in the heart of Boston. Our students, faculty, and alumni travel around the globe to study, teach, and become immersed in the communities in which they live.
About This Course
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.
Why Take This Course?
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.
- How to apply the theory of linear systems to nonlinear systems near equilibrium points
- How to use null clines 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.
Paul Blanchard is professor of mathematics at Boston University. He grew up in Sutton, Massachusetts, USA, spent his undergraduate years at Brown University, and received his Ph.D. from Yale University.
Kyle Vigil is a Ph.D. candidate in the Department of Physics at Boston University. His research involves high numerical aperture optical systems and sub-wavelength resolution microscopy.
Topics covered in MATH226.1x and MATH226.2x. In particular, initial-value problems, general solutions, computer simulation of solutions to first-order systems, geometric objects such as the vector field and the phase portrait of a first-order system, the classification of two-dimensional linear systems.
How To Join This Course
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