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This lecture explores the microcanonical and canonical treatment of a paramagnet in an external field, focusing on the relationship between temperature, external field, energy, and magnetization. The instructor discusses the distribution of spins, density of states, inverse temperature, and the behavior of energy with changing temperature. The lecture also delves into the canonical partition function, non-interacting subsystems, and the magnetization of the system in relation to the applied magnetic field, temperature, and material properties.