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This lecture covers the Laplace Transform, focusing on its application in Control Systems. Topics include the motivation behind Laplace Transform, analysis of dynamic systems, examples of Laplace Transform of various functions, Laplace Transform properties like superposition, differentiation, shift in frequency, integration, and the transfer function. The lecture also discusses the inverse Laplace Transform, partial-fraction expansion, and the final value theorem. Through examples and theoretical explanations, students will gain a deep understanding of how Laplace Transform is utilized in analyzing and designing control systems.