Introduction to control systems -- Mathematical background -- Laplace transformation -- Mathematical background -- matrices -- Mathematical models of physical systems -- Basic control actions and industrial automatic controls -- Transient-response analysis -- Error analysis and introduction to system optimization -- The root-locus method -- Frequency-response methods -- Design and compensation techniques -- Describing-function analysis of nonlinear control systems -- Phase-plane analysis -- Discrete-time systems and the z-transform method -- State-space analysis of control systems -- Liapunov stability analysis -- Optimal and adaptive control systems