In fact, it isn't so hard that they would like you to believe - it just seems that way when they remove the best parts due to national security :D You would have to go back to James Clerk Maxwell's original 20 equations to see what it's all about. Okey, quaternions are kind of hard, I'll admit to that, but all in all it makes much more sense.
Not ... really. The problem is that we teach electromagnetics using a 19th century pedagogy that assumes the existence of the Ether.
This works well for some things and makes them nicely closed form and simple. Of course, it breaks down for other things (motors are one of the big ones) where you really want a field description.
Of course, a field description makes nothing simple and closed form. So, it isn't good for making exams out of.
If you can deal with 4-vectors, "Collective Electrodynamics" is a really good book.