MATH5525: Introduction to Ordinary Differential Equations

Ordinary differential equations, solution of linear systems, qualitative/numerical methods for nonlinear systems. Linear algebra background, fundamental matrix solutions, variation of parameters, existence/uniqueness theorems, phase space. Rest points, their stability. Periodic orbits, Poincare-Bendixson theory, strange attractors.prereq: [2243 or 2373 or 2573], [2283 or 2574 or 3283]

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