Use Newtonian mechanics with forces and torques to solve problems in Cartesian and curvilinear coordinates.
Work, Energy, and Momentum
Solve mechanics problems using work-energy, and conservation of energy, momentum and angular momentum.
Solve and analyze rigid-body problems and problems in non-inertial frames.
Lagrangion and Hamiltonian mechanics
Use Lagrangian and Hamiltonian mechanics to obtain the equations of motion for a variety of problems, including the use of generalized coordinates and cyclic coordinates.
Use perturbation and similar techniques to linearize equations of motion to analyze stability and study coupled systems using normal modes.