  These are notes for the lecture on Transport Theory in a one-week intensive
course, "Techniques of Proton Radiotherapy". Topics are:
  Phase space diagrams: model beam line-effect of a scatterer-effect of a
drift-the beam ellipse-phase space diagrams for the model beam line-emittance
change in a drift-emittance change in a scatterer-phase space for a more
realistic beam line-summary
  Miscellaneous topics: review of Gaussians-the Gaussian approximation to
multiple Coulomb scattering (MCS)-relativistic single particle
kinematics-completing the square-scattering power
  Fermi-Eyges theory: history-the basic theory-the beam ellipse-drawing the
ellipse given the moments-ellipse examples-transporting the beam ellipse
through a slab-emittance change in a drift-emittance change in a
scatterer-differential form of the transport equations-equivalent sources-beam
contained in the beam ellipse-summary
  Beam spreading in matter: theory of Preston and Koehler-generalization to
heavy ions-experimental tests (Preston and Koehler, Phillips, Wong et
al.)-summary
  Analytical geometry of the ellipse (appendix): tilted ellipse-transformation
to principal frame-summary and explicit procedures-area enclosed by the ellipse
