MATH 481 - Mathematical Modeling

(3.00)

Derivation and analysis of mathematical models of phenomena from physics, engineering and other exact sciences. Topics include stability of equilibria of dynamical systems with emphasis on the qualitative aspects of solutions, phase plane analysis and linearization of non-linear systems. Additional topics from catastrophe theory, bifurcation, optimization and chaos will be covered as time permits. Examples will be drawn from population dynamics, flywheel governor, a model for heartbeat, bang-bang controls, self-sustained oscillations and morphogenesis.

Components: Lecture
Attributes: Writing Intensive
Requirement Group: You must complete MATH 221 and MATH 225 and MATH 251 with a grade of C or higher.