| MATHEMATICS
(obiettivi)
To be able to describe the quantitative and qualitative behavior of a real function with a single variable. In particular, to be able to deduce its behavior to infinity, to dedict if local and absolute values occur and to sketch its graph in the Cartesian plane.
To be able to calculate the area subtended by a the graph of a function, the x axis and the lines x=a and x=b.
To know how to find out eigenvalues of a matrix.
To be able to solve linear equations systems.
To be capable to study the nature of the critical points of a real function with several variables, i. e. to be able to solve a static optimization problem with and without constraints.
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Codice
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8011793 |
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Lingua
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ENG |
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Tipo di attestato
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Attestato di profitto |
| Modulo: MATHEMATICS II
(obiettivi)
To be able to describe the quantitative and qualitative behavior of a real function with a single variable. In particular, to be able to deduce its behavior to infinity, to dedict if local and absolute values occur and to sketch its graph in the Cartesian plane.
To be able to calculate the area subtended by a the graph of a function, the x axis and the lines x=a and x=b.
To know how to find out eigenvalues of a matrix.
To be able to solve linear equations systems.
To be capable to study the nature of the critical points of a real function with several variables, i. e. to be able to solve a static optimization problem with and without constraints.
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Codice
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M-5285 |
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Lingua
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ENG |
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Tipo di attestato
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Attestato di profitto |
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Crediti
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6
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Settore scientifico disciplinare
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SECS-S/06
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Ore Aula
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36
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Ore Studio
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-
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Attività formativa
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Attività formative caratterizzanti
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| Modulo: MATHEMATICS I
(obiettivi)
To be able to describe the quantitative and qualitative behavior of a real function with a single variable. In particular, to be able to deduce its behavior to infinity, to dedict if local and absolute values occur and to sketch its graph in the Cartesian plane.
To be able to calculate the area subtended by a the graph of a function, the x axis and the lines x=a and x=b.
To know how to find out eigenvalues of a matrix.
To be able to solve linear equations systems.
To be capable to study the nature of the critical points of a real function with several variables, i. e. to be able to solve a static optimization problem with and without constraints.
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Codice
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M-5286 |
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Lingua
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ENG |
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Tipo di attestato
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Attestato di profitto |
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Crediti
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6
|
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Settore scientifico disciplinare
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SECS-S/06
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|
Ore Aula
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36
|
|
Ore Studio
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-
|
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Attività formativa
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Attività formative di base
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Canale Unico
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Docente
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PIRINO DAVIDE ERMINIO
(programma)
Part A
Set theory. Set Operations: union intersection, difference, complement, Cartesian product. Number sets. Intervals. Powers with rational and real exponents. Interior, exterior and accumulation points. Maximum, minimum, inferior and supremum. Funcions: domain, range, image. Injective and surjective functions. Inverse function.
Part B
Real valued functions: linear, quadratic and polynomial functions. Exponential, Logarithmic and Trigonometric functions. Monotonic functions. Convex and concave functions. Economic applications.
Part C
Sequences, limits, power series. Economic applications
Part D
Limit of a function: definition and main theorems. Asymptotes. Continuity: definition and main theorems.
Part E
Derivative. Main theorems on differential functions: Rolle, Lagrange, De Hopital. Complete study of a function: sktech graph. Taylor's polynomial. Economic applications
 Text: C.P Simon and L. Blume. Mathematics for Economists. Norton & Company
On the web site of the course there will be available:
Weekly exercises
The classworks proposed weekly by the tutors
A sample of self evaluation test
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Date di inizio e termine delle attività didattiche
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- |
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Modalità di erogazione
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Tradizionale
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Modalità di frequenza
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Non obbligatoria
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Metodi di valutazione
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Prova scritta
Prova orale
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