New York University 4 credits Mathematics
This class will develop rigorously the basic theory of Ordinary Differential Equations (ODEs). Existence and uniqueness of solutions to ODEs are first investigated, for linear and nonlinear problems, set on the real line or the complex plane. More qualitative questions are then considered, about the behavior of the solutions, with possible prolongations to various topics in Dynamical Systems theory. Applications to Physics and Biology will appear naturally when discussing examples. | Prerequisites: A grade of A- or higher in MA-UY 4614 or a grade of B+ or higher in MA-UY 4644. Anti-requisite: MA-UY 4204 or MA-UY 2034
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