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Please note that all class announcements and class materials are published on Canvas. Feel free to contact me if you are not enrolled in my class but would like to have additional class information.
Please note that all class announcements and class materials are published on Canvas. Feel free to contact me if you are not enrolled in my class but would like to have additional class information.
Math 645: Differential Equations and Dynamical Systems
Math 645: Differential Equations and Dynamical Systems
Semester: Fall
Semester: Fall
Offered: 2025
Offered: 2025
Classical theory of ordinary differential equations and some of its modern developments in dynamical systems theory. Linear systems and exponential matrix solutions. Well-posedness for nonlinear systems. Qualitative theory: limit sets, invariant set and manifolds. Stability theory: linearization about an equilibrium, Lyapunov functions. Autonomous two-dimensional systems and other special systems. Prerequisites: advanced calculus, linear algebra and basic ODE.
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