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I believe many of us endeavor to teach in a constructivist manner.
That is, we build on the material taught in junior courses and teach
in a manner that leaves the door open for future course to build on
what we taught.
does the 'correct'
answer for the energy of all waves simplify to "energy proportional to
the wave amplitude" for the conditions in FLP?
Is "energy proportional to the wave amplitude" stated
in FLP a reasonable simplification for the level of the student FLP is
endeavoring to educate?
so that our formula will be completely general
so once again, the definition of f has been generalized.for a wide class of functions, in fact for all
that are of interest to physicists
Usually theorems are completely general, unless theenergy theorem
[...]the same equations have the same solutions
/The equations for many different physical situations/
/have exactly the same appearance./
Of course, the symbols may be different—one letter
is substituted for another—but the mathematical
form of the equations is the same. This means that
having studied one subject, we immediately have a
great deal of direct and precise knowledge about
the solutions of the equations of another.