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This lecture covers the Lorentz transformations, contravariant and covariant tensors, and the Lorentz covariant form of Maxwell equations. It explains the need to make Newtonian mechanics Lorentz invariant and delves into the Lorentz covariant formulation of electrodynamics. The lecture also discusses the sources and derivatives of the electric and magnetic fields, emphasizing the importance of charge conservation and the Lorentz invariance of physics.