I've little time for the Drake 'equation', I'm afraid - the closest thing to mathematical waffle and b***sh** there is. Anyway it's not really very advanced maths, merely multiplying together a collection of wild guesstimates.
Turning to the 'Beautiful Equations', well you've got to understand that this is an
artist's perception of scientific wonders, so the programme was bound to tell you nothing about the underlying science. Does that matter? Certainly anyone who's actually studying the science wouldn't need the scientific stuff on TV. A pity that the "E=Mc[sup]2[/sup]" professor didn't actually get as far as
explaining relativity.
And to include the Dirac equation - a pretty bold move seeing as no-one other than a physicist could have the least understanding of what any part of it was about - as the boffin made clear! I vaguely remember doing it in Physics, its expanded form:
which emphasises its inscrutability, methinks...