MATH 434
Applied Dynamics and Optimal Control Spring 2018 Division III; Quantative/Formal Reasoning;
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We seek to understand how dynamical systems evolve, how that evolution depends on the various parameters of the system, and how we might manipulate those parameters to optimize an outcome. We will explore the language of dynamics by deepening our understanding of differential and difference equations, study parameter dependence and bifurcations, and explore optimal control through Pontryagin’s maximum principle and Hamilton-Jacobi-Bellman equations. These tools have broad application in ecology, economics, finance, and engineering, and we will draw on basic models from these fields to motivate our study.
The Class: Type: lecture
Limit: 40
Expected: 25
Class#: 3687
Requirements/Evaluation: evaluation will be based primarily on exams and homework assignments
Prerequisites: MATH 209 or PHYS 210, and MATH 350 or 351, or permission of the instructor
Distributions: Division III; Quantative/Formal Reasoning;

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