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This lecture covers the historical introduction to the equations of continuity, the link between global and local systems, the Einstein summation convention, the concept of extensive state variables, the conservation of charge, the Fourier law, the heat equation, and the diffusion of heat in a bar. It also discusses the laws of Fick, Ohm, and Hall, the Seebeck effect, and the Nernst effect, as well as the phenomenological relations in a metal, the Thomson effect, the Joule effect, and the Peltier effect.