Fall term, odd years
Graduate standing, along with prior exposure to linear algebra and differential equations.
317 Graf Hall
This course serves as an introduction to geometric methods in the analysis of dynamic systems.
- Manifolds and Lie groups
- Representations of velocity
- Holonomic and nonholonomic constraints
- Constraint curvature and response to cyclic inputs
- Distance metrics
The student, upon successful completion of this course, will be able to:
- Use structured mathematical spaces like manifolds and Lie groups to describe the configuration spaces of physical systems,
- Use constraints on these spaces to model the dynamics of such systems, and
- Use the way in which these constraints change over the configuration spaces to identify and characterize nonlinear aspects of the system dynamics.