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This lecture covers the fundamentals of thermal conduction, including the transmission of heat through materials by molecular vibration, the Fourier equation for steady and unsteady regimes, and the concept of thermal conductivity. It also discusses simplifications of the Fourier equation, heat flux, and specific heat. The instructor explains the conditions for steady state and unsteady regime, as well as the factors affecting thermal diffusivity and heat flux. The lecture concludes with examples of thermal conduction in different materials and the application of the Fourier equation in describing heat transfer.