I PART) Preliminary definitions, the Weierstrass Theorem, Optimization problems in one variable, First and second order conditions, Revision of linear algebra and of functions of two or more variables, Unconstrained and constrained optimization problems: the Lagrange Theorem, Comparative statics. Some examples of economic theory will be discussed: optimal production, cost minimization, best choise. II PART) Economic dynamics: definitions and concepts, Concept of functional equation, Linear difference/differential equations with constant coefficients of the first and second order, Revision of some basic matrix algebra: eigenvalues and eigenvectors of square matrices, Simultaneous first-order systems of difference/differential equations.