Physical Sciences

• Variational Principles
• Two-Body Central Force Problem
• Lagrangian Dynamics
• Covariant Formulation of EM
• Lorentz Transformations
• Relativistic Mechanics
• Minkowski Space
• Canonical Transformation
• Hamilton-Jacobi Theory
• Brackets and Liouville's Theorem
• Dynamics of a Rigid Body
• Nonlinear Dynamics and Chaos
• Hamiltonian Dynamics
• Small Oscillators & Normal Modes
• Newtonian Mechanics