Physics 5321

Classical Mechanics II
Physics 5321 Syllabus

[Note: This course is currently under consideration/construction. Only a partial syllabus appears below.]
Nonlinear Dynamics (continued)

Continuum Dynamics

Relativistic Mechanics

Postulates of Special Relativity
Derivation of Lorentz Transformation from Postulates
Four-Vector Formalism
Group Structure of Lorentz Transformations
The Light Cone and Restricted Lorentz Transformations

Mechanics on Manifolds

Galilean and Lorentzian Space Manifold
Maps, Charts and Atlases
SU(2) and SO(3)
Calculus on Manifolds
Vector Fields on Manifolds
Operations on Manifolds
Exterior Products and k-Forms
Dictionary of Terms