Poisson Brackets, Non-Canonical Hamiltonian Systems and Euler's Rigid Body Equations

This course covers the learning outcomes and goals of understanding Poisson brackets, non-canonical Hamiltonian systems, and Euler's rigid body equations. The individual skills or tools taught include analyzing Poisson brackets, exploring non-canonical Hamiltonian systems, and applying Euler's free rigid body equations. The teaching method involves lectures with topics such as abstract algebra, Lie algebra properties, and the relevance of Poisson brackets for Hamiltonian systems. The intended audience for this course is graduate students or professionals interested in advanced dynamics, Hamiltonian systems, and nonlinear dynamics.