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MATH 438

Modeling with Dynamics and Control 2

Mathematics College of Physical and Mathematical Sciences

Course Description

Introduction to integral equations, calculus of variations, stochastic differential equatons, optimal stochastic control; common algorithms used for these systems.

When Taught

Winter

Grade Rule

Grade Rule 8: A, B, C, D, E, I (Standard grade rule)

Min

3

Fixed

3

Fixed

3

Fixed

0

Other Prerequisites

concurrent enrollment in Math 439.

Title

Introduction to modeling with the Calculus of Variations, Optimal Control, and Uncertainty Quantification

Learning Outcome

Introduction to modeling with the Calculus of Variations, Optimal Control, and Uncertainty Quantification.  Specific topics include: specific problems in the calculus of variations, Euler-Lagrange equations, natural boundary conditions, higher order derivatives, secondary conditions for maxima/minima, derivation of Pontraygin's maximum principle, modeling with optimal control applied to biological, physical and the health sciences, Bayesian approach to uncertainty quantification for simple models.   . For detailed information about the desired learning outcomes visit the Math 438 Wiki page.