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This lecture covers the definition and challenges of harmonic response, the manipulation of poles inside the unit circle, and the asymptotic bode diagrams. It delves into the analog and discrete transfer functions, the harmonic meeting challenge, and the approximation of analog transfer functions. The instructor explains the concept of reciprocal transformation, the bypassing of difficulties, and the rational fraction approximation. The lecture also explores the Fourier analysis, the change of variable, and the step response calculations for different transfer functions.