MATH 436
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Modeling with Dynamics and Control 1
MathematicsCollege of Computational, Mathematical, & Physical Sciences
Course Description
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.
When Taught
Fall and Winter
Min
3
Fixed/Max
3
Fixed
3
Fixed
0
Prerequisite
Complete ALL of the following Courses:
- 03661-002
AND 12187-001
AND 12184-001
Other Prerequisites
concurrent enrollment in Math 437.
Title
Introduction to the modeling and qualitative theory of differential equations
Learning Outcome
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.
