Learning objectives
In an ever increasing number of contexts, it is avdisable that a graduate student in Economics is able to use quantitative measurements and tools. The main objective of this course is to provide the student the basic mathematical instruments to construct simple models for economic problems and take informed and justified decisions.
Prerequisites
First and second order equations and inequalities. Properties of exponentiation.
Course unit content
Linear functions and models. Linar systems and matrices. Economic applications.
Non-linear functions.
Differential Calculus and economic applications.
Integrals. Functions in several variables. Economic applications.
Full programme
Real functions. Graph of a function.
Linear functions and models. Economic applications.
Systems of linear equations.
Linear algebra: vectors and matrices.
Non-linear models: quadratic functions, exponential functions, logarithm.
Limits and continuity of functions. First and second derivatives.
Maxima and minima of functions.
Economic applications.
Integration theory: indefinite and definite integral. Fundamental theorem of calculus.
Integration by parts and by substitution.
Improper integrals.
Introduction to functions of several variables. Partial derivatives of first and second order. Hessian matrix.
Maxima and minima of functions of two variables.
Constrained optimization:Lagrange's multipliers.
Bibliography
S. Waner, S.R. Costenoble, Strumenti quantitativi per la gestione aziendale, Apogeo, Milano, 2006.
Teaching methods
Oral lectures
Assessment methods and criteria
Written exam.
Other information
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