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Geometry of Nonlinear Systems Second Term: Winter 2005 TTh 10:30 AM - 12 noon 125 Steele |
| 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. |
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| Course Description: 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, Discrete exterior calculus. (9 units) |
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Instructor:
Jerrold E. Marsden www.cds.caltech.edu/~marsden For further information, see the webpage for CDS 202 at www.cds.caltech.edu/academics/courses/ |
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