This course introduces the analysis and control of linear dynamic systems using state-space and linear algebraic methods. Topics cover Mathematical descriptions of systems; Properties of linear and linear time-invariant (LTI) systems; State-space representations and solutions; System realizations; and Stability concepts. The course further covers Controllability and observability analysis; Minimal realizations; Coprime fraction representations; and State-space transformations. Design topics cover State feedback, State estimation, Pole placement, and Model matching techniques for regulation, tracking, and disturbance rejection. Emphasis is placed on both theoretical foundations and practical system analysis and control design.