CONTENIDO: Preliminaries. Some basic mathematics. Nonlinear programming and microeconomics. Nonlinear programming. Sensitivity analysis and elements of microeconomics. Other topics in microeconomic theory. Economics of uncertainty. Differential equations and economic analysis. Elements of differential equations and economic applications. Linear differential equations on the plane and elements of nonlinear systems. Macroequilibrium and neoclassical growth models. Optimal control theory and applications. Elementts of optimal control theory and applications. Infinite horizon optimization control problem and applications. Extensions of optimal control themes.