Lectures by date

  • Friday, December 10       Logistic map, bifurcations and all that.

  • Wednesday, December 8       Chaotic systems, Poincare section and Hausdorf dimension

  • Monday, December 6       Dimensions of attractors for integrable systems


  • Monday, November 29       Question and answer period before exam, notes on Hamilton-Jacobi

  • Wednesday, November 24       Energy Momentum Tensor and Review for Exam.

  • Monday, November 22       Complex Scalar Field and Hamiltonian


  • Friday, November 19       Relativistic Lagrangian Density

  • Wednesday, November 17       Variational principle and Hamiltonian density

  • Monday, November 15       Infinite number of degrees of freedom, Lagrangian density


  • Friday, November 12       Fundamental Poisson brackets & Lie Operators

  • Wednesday, November 10       Invariance of Poisson brackets in restricted C. T.

  • Monday, November 08       Canonical Transformations


  • Friday, November 05       Variational Principle for Hamiltonian Systems

  • Wednesday, November 03       Minimal Substitution & EM Interactions

  • Monday, November 01       Hamilton Eqs. of Motion


  • Friday October 29       Relativistic Lagrangian and Hamiltonian: Minimal Substitution

  • Wednesday October 27       Using 4-momenta in collision problems

  • Monday, October 25       Four vectors of particle dynamics.


  • Friday October 22       Special theory of relativity


  • Friday October 15       Normal modes for N identical springs and masses

  • Wednesday October 13       Normal modes and frequencies by inspection

  • Monday October 11       Normal corrdinates


  • Friday October 8       Small oscillations about equilibrium

  • Wednesday October 6       Approximate precession and nutation

  • Monday October 4       Precession and nutation


  • Friday October 1       Stability of rotation about principal axes

  • Wednesday Sept. 29       Moment of Inertia tensor

  • Monday Sept. 27       More on rotations


  • Friday Sept. 24       Euler angles: two interpretations

  • Wednesday Sept. 22       Rotations

  • Monday Sept. 20       Scattering, Coulomb potential


  • Friday Sept. 17       Orbits for Central Forces

  • Wednesday Sept. 15       Constants of motion

  • Monday Sept. 13       Ball on inclined plane example


  • Friday Sept. 10       Constraints and Lagrange Multipliers

  • Wednesday Sept. 8       Hamilton's Principle


  • Friday Sept. 3       Lagrangian Eqs. of Motion

  • Wednesday Sept. 1       Lagrangian