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I am tempted to show simple transversal, longitudinal and torsional =
waves, to discuss the meaning of y(x,t) as displacement of the disturbed =
medium as a function of position and instants, and mention only =
theta(x,t) for torsion, or E(x,t) and B(x,t) and even mention the =
Psi(x,t) as the density probability.
Also, I am tempted to get into the aspect of relating the velocity of =
the "news" to the velocity of the material particles and the =
instantaneous slope, and in a smooth way to introduce the all the first =
and second order derivatives with respect with time and postions =
culminating with the wave equation...