CDS 202 -- Winter 2005
Geometry of Nonlinear Systems
Prerequisites: CDS 201 or AM 125 a
CDS 202 is the foundation course for work in geometric mechanics and geometric control theory.
In addition, students wanting to work in applied fields like fluid mechanics, elasticity,
computational mechanics, computational geometry, and variational integrators
will find this course useful.
Basic differential geometry, oriented toward applications in control and dynamical systems. Topics include smooth manifolds and mappings, tangent and normal bundles. Vector fields and flows. Distributions and Frobenius' theorem. Matrix Lie groups and Lie algebras. Exterior differential forms, Stokes theorem.
TTh 10:30 AM - 12 noon; 125 Steele