Modeling with Dynamics and Control 1

Modeling with Dynamics and Control 1
Theory and applicatiions of dynamic systems and partial differential equations. Topics include dynamic systems; bifurcation theory; control theory; hyperbolic, parabolic, and elliptic partial differential equations; commonly-used algorithms.
MATH
436
 Hours3.0 Credit, 3.0 Lecture, 0.0 Lab
 PrerequisitesMATH 322 & MATH 341 & MATH 346; concurrent enrollment in Math 437.
 TaughtFall
 ProgramsContaining MATH 436
Course Outcomes

Introduction to the modeling and qualitative theory of differential equations

Introduction to the modeling and qualitative theory of differential equations, both ordinary and partial. Specific topics include: existence/uniqueness of ordinary differential equations (ODE), stability theory for smooth continuous dynamical systems, modeling with ODEs, bifurcation theory, modeling with partial differential equations (PDE), method of characteristics, parabolic operators and viscous effects, conservation laws, Sturm-Liouville operators, eigenfunction expansions, and Green's functions.

For detailed information about desired learning outcomes visit the Math 436 Wiki page.