CDS 202 -- Winter 2010
Second Term

Geometry of Nonlinear Systems

Instructor: François Gay-Balmaz Steele 130 (Office hours by appointment) Jerrold E. Marsden Steele 113 (Office hours by appointment)

Tuesdays and Thursdays 13.00-14:25 Steele 214

Teaching Assistants: Henry Jacobs Office hours: Tuesdays 9:30-10:30, STL 3 TA session: Wednesdays 9:30-10:30am, STL 110

Course Description

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.

Topics

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.

Course Catalog

9 units (3-0-6); second term. Prerequisite: CDS 201 or AM 125a
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’s theorem. Matrix Lie groups and Lie algebras. Exterior differential forms, Stokes' theorem.

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