Maxwell's Equations and Lorentz Transformation

jomel_maroma
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Hi! I'm having problems with this homework my professor gave us this morning: Prove that Maxwell's equations is invariant under Lorentz Transformation.

I'm just currently in third year, and we haven't been taught tensors yet. The extent of what I know mathematically is only until gradient, divergence, curl, and the like.

I've been trying to do the "∇.B=0" one but there always is a term that doesn't cancel out. Can anyone show me how to do it? ^I just need an example. Thank you!
 
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