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[itex] \oint \vec E d \vec L = 0 [/itex]

[itex] \oint \vec D \vec dS = \int_V P_f (\vec r)dV [/itex]

[itex] \oint_S \vec B d \vec S = 0 [/itex]

[itex] \oint_L \vec H \vec dL = \int_S P_f \vec J_f d\vec S [/itex]

I am new to electromagnetism and Maxwell's equations, I don't understand the form (it's integral form) that my lecturer has written these equations in. As in, what the symbols mean. I can't quite find the individual symbols used and their explanation in textbooks, because they differ sometimes quite significantly. I understand the equations in differential form/integral form in a general case, in a vacuum, but not quite how they are written here in matter.

Could somebody help explain the symbols to me and the relationships between the integration limits (if appropriate?)

Is this on a macroscopic scale or? It's not explained at all in my lecture notes, its just merely written just as I have in the thread, no explanation, no derivation (i'm not asking for a derivation...yet...) just an explanation of the symbols used.

Cheers