Introduction to Mathematical Modeling

A project-based introduction to the essential components of mathematical modeling. Using fully developed case studies and exploratory student projects, the aim is to provide a broad perspective on modeling physical, biological, and societal phenomena using modern mathematical methods. In particular, emphasis will be placed on three prototypical modeling paradigms: dynamical systems, statistical/probabilistic modeling, and optimization. Prerequisite: Deferential equations and linear algebra (MTH 330 or equivalent) or mathematical probability (MTH 311 or equivalent) or permission of the instructor.