Newton's laws

    Mechanics of a system of particles

    Conservation Laws

    Lagrange's equations

    Constraints

    D'Alembert's principle

    Constants of motion

    Examples

Variational Principles

    Hamilton's principle

    Calculus of variations

Two body central force

    Lagrangian approach

    Periodic and quasiperiodic orbits

    Inverse square law potential

    Scattering - collisions

Exam #1

Kinematics of rigid body motion

    Coordinates

    Orthogonal transformations

    Euler's theorems

    Rate of change of a vector - Coriolis force

Rigid body equations of motion

    Energy and Angular momentum

    Inertia tensor

    Torque free motion

Small oscillations

    Free motion- normal modes

    Driven motion

Special Relativity

    Lorenz transformations

    Four vectors

    Relativistic motion of charged particles

Exam #2

Hamilton's equations

    Construction

    Relativistic motion

    Cyclic coordinates and conservation laws

    Variational principles

    Geometric optics

    Phase space

    Synplectic notation

Canonical transformations

    Action angle variables - quantization

    Liouville theorem

    Adiabatic invariants

    Perturbation theory

    Chaos

Continuous systems

    Vibrations in mechanical systems

    Electromagnetic fields

Final Exam