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MATH 434
Applied Dynamics and Optimal Control Fall 2020
Division III Quantative/Formal Reasoning

Class Details

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: Format: lecture
Limit: 20
Expected: 20
Class#: 2641
Grading: yes pass/fail option, yes fifth course option
Requirements/Evaluation: exams and homework assignments
Prerequisites: MATH 209 or PHYS 210, and MATH 350 or 351, or permission of the instructor
Enrollment Preferences: Preference will be given to senior math majors.
Distributions: Division III Quantative/Formal Reasoning
QFR Notes: This is a 400 level math course.

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