Comparative statics and the paradigm of economics -- Review of calculus (one variable) -- Functions of several variables -- Profit maximization -- Matrices and determinants -- Comparative statics: the traditional methodology -- The envelope theorem and duality -- The derivation of cost functions -- Cost and production functions: special topics -- The derivation of consumer demand functions -- Special topics in consumer theory -- Intertemporal choice -- Behavior under uncertainty -- Maximization with inequality and nonnegativity constrints -- Contracts and incentives -- Markets with imperfect information -- General equilibrium I: linear models -- Genral equilibrium II: nonlinear models -- Welfare economics -- Resource allocation over time:optimal control theory.