Economic facts and problems are of dynamical nature, and, for this reason, it is required to use dynamical economic models. The primary purpose of this course is to provide the mathematical foundations of some very important dynamical economic models. Each lecture will introduce and analyze a specific dynamical model.

Why Dynamical Models?; Time in Economics: Logical vs. Historical Time; Time in Economics: Steady-State and Asymptotic Equilibria; Differential Equations; The Market Equilibrium and its Adjustment; Malthusian Population Dynamics; Harrod-Domar and Solow-Swan Dynamics; Difference Equations; The Iterative Solution of an Auto-Regressive Process; Systems of Differential Equations; The Dynamical IS-LM Model