This lecture presents Laplace Transform (LT) and its region of convergence. Its relation to Laplace transform is presented. Notable LT properties are reviewed: time shift, convolution, signal differentiation/integration. Its use in defining Linear Time-Invariant (LTI) continuous-time systems transfer function is also presented and stability issues are overviewed. Various types of such systems are presented with examples (e.g., RC electric filters, temporal diffusion systems).
