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This lecture covers system analysis in the frequency domain, focusing on sinusoidal transfer functions, resonant frequencies, and phase angles. It delves into the characteristics of first and second-order systems, discussing resonant peaks, damping ratios, and system response. The lecture also explores the design of filters, including low-pass, high-pass, band-pass, and notch filters, emphasizing their impact on system performance and response. Additionally, it examines the concept of non-minimum phase systems and the importance of quality factors in vibration absorbers and band-pass filters.