Lorentz Transformations and Covariant Tensors

This lecture covers Lorentz transformations of currents and potentials, contravariant and covariant tensors, Lorentz boosts, addition of velocities, Lorentz invariance, and the covariant formulation of electrodynamics. It also discusses rotational invariance, linear transformations, and examples illustrating rotational invariance and vector spaces. The lecture delves into the concepts of contravariant and covariant tensors, emphasizing the transformation of components under linear transformations. It concludes with examples demonstrating the application of covariant tensors in rotational invariance and linear functions.