The course objectives are to learn some advanced topics in the theory of ordinary differential equations. In particular, the students are expected to master the following topics:

- Linear dynamical systems and conjugacy of linear flows;
- Autonomous systems on the plane;
- Traveling wave solutions to the reaction-diffusion systems;
- Elemenets of bifurcation theory;
- Delay differential equations.

__Classes:__MWF 12:00pm-12:50pm, NDSU AGHILL CTR Building, Rm 110__Office hours:__MWF 1:00pm-1:50pm (Minard 408E22)- Syllabus
__Textbook:__No textbook is required

- Ordinary differential equations by Arnold, V.I.
- Differential Equations, Dynamical Systems, and Linear Algebra by Morris W. Hirsch and Stephen Smale, first(!) edition
- Theory of Ordinary Differential Equations by Earl A. Coddington and Norman Levinson
- Ordinary Differential Equations by Philip Hartman
- Ordinary Differential Equations by Jack K. Hale
- Differential Equations and Dynamical Systems by Lawrence Perko
- Theory of Ordinary Differential Equations by Christopher P. Grant, lecture notes

- Linear systems with constant coefficients
- Linear dynamical systems. Topological conjugacies
- Perron-Frobenius theorem
- Systems on the plane
- Bifurcations I
- Bifurcations II

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