Prerequisite: Calculus & ordinary differential equations, exposure to linear algebra and complex variables. This course presents fundamental topics for the analysis of linear dynamical systems, i.e., systems that evolve in time and which admit an underlying linear structure. The material in this course serves as the foundation for continued study in more advanced courses in control design and system theory. The course covers the following topics: state space equations, interconnections, linearization, solutions of state space equations, Transfer functions, Stability of linear systems, Lyapunov, input/output stability, Controllability and observability, state feedback, observer and an introduction to linear quadratic regulator (LQR).