Course unit partition: Cognomi E-N

Academic year 2012/13
1° year of course - First semester
Academic discipline
Metodi matematici dell'economia e delle scienze attuariali e finanziarie (SECS-S/06)
Ambito aggregato per crediti di sede
Type of training activity
63 hours
of face-to-face activities
9 credits
hub: PARMA
course unit
in - - -

Course unit partition: MATHEMATICS

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.


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.


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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