MATH 4325 - Modeling: Concepts and Applications

Credit Hours: 3 Lecture: 3 Lab: 0

We study models with friendly yet careful mathematical treatment, and stress on geometric intuition, concrete examples, and analytical methods. The content starts with differential equations and their bifurcations, followed by behavior analysis, and culminating with iterated maps, period doubling, fractals, and chaos. The materials emphasize models with applications in biological rhythms, insect outbreaks, superconducting circuits, chemical oscillators, and genetic control systems.

Prerequisites: MATH 2318 and MATH 2320 or equivalent.