CDS 202

Textbooks
Reading
Policies
Assignments
Midterms
Final Exams

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.