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This lecture covers the concept of the transient regime in heat transfer, focusing on sudden changes in thermal equilibrium, solidification, and thermal treatments. It discusses solutions to the Fourier equation, boundary conditions, and the importance of heat flux density. The analytical and graphic solutions for infinite plates, spheres, and finished plates are explored, along with the mathematical aspects of solving heat transfer problems. The lecture also delves into the internal resistance of solids, Biot number, and the role of conduction in cooling processes.