Propositional logic. Propositions. Decidable propositions. Logical operations between propositions. Logical implication. Necessity, sufficiency and necessity and sufficiency. Truth tables. Theorem. Methods for proving a theorem. Sets. Operations between sets. Numerical sets:
natural numbers, relative numbers and rational numbers. Infimum and supremum of a numerical set. Irrationality of square root of 2 (with proof). Dedekind's axiom. The real numbers set. Real numbers and their representation on the straight line. Limited and non-limited sets. Maximum and minimum of a numerical set. Intervals and boundary of a point. Elements of line topology: isolated, boundary, internal and accumulation points. Open sets. Closed sets. A set is closed if and only if it contains all its accumulation points.
2) Sums
Definition of summation. Sum of the first natural n (with proof). Sum of the first n terms of a geometric progression (with proof). Summation properties.
3) Real functions of real variable
Real functions of real variable. The Cartesian plane and the graph of a function. Injective and surjective functions. Invertible functions. Even and odd functions. Increasing and decreasing functions. Link between monotony and injectivity. Inverse function. Inverse function graph. Elementary functions. Transformations of elementary functions. Compound function. Multi-law defined functions. Domain of a function.
4) Sequences and numerical series
Converging, diverging and indeterminate sequences. Limits of sequences. Definition of numerical series. Necessary condition for convergence
of a series (with proof). The character of the geometric series (with proof). Mengoli series and its value (with proof).
5) Limits of real functions of real variable
Definition of limits. Right-hand limit and left-hand limit. Vertical and horizontal asymptote. Oblique asymptote. Theorem on uniqueness of limit. (with proof). Theorems on sign permanence (with proof). Rational operations on limits. Indeterminate forms. Notable limits.
6) Infinites and infinitesimals
Definition of infinitesimal and infinite. Comparison between infinitesimal and infinite. Order of infinitesimal and infinite. Cancellation theorems (with proof). Order propagation.
7) Continuity
Definition of continuity in a point. Continuity in a set. Classification of discontinuity points. Continuity of elementary functions. Continuity
of the compound function. Continuity of functions defined by several laws. Theorem of zeros for continuous functions. Weierstrass's theorem. Darboux's theorem (with proof).
8) Differential calculus
Difference quotient. Derivative of a function in a point and its geometric meaning. Derivability implies continuity (with proof). Points of non-derivability.
Derivative function and derivatives of subsequent order. Derivative of elementary functions. The rules of derivation. Derivative of compound functions. De L’Hopital's theorem and its application to indeterminate forms. Taylor polynomial of order 1 and order 2 (with proof). The factorial of n. Taylor polynomial
of order n. Mc Laurin polynomial. Differential and its geometric meaning. First-order error theorem (with proof). Local maxima and minima. Fermat's theorem (with proof). Rolle's theorem (with proof). Lagrange's theorem (with proof). Corollaries to Lagrange's theorem (with proof). Relationship between the sign of the first derivative and the increasing / decreasing functions in an interval (with proof). Concavity and convexity in a point. Relationship between the sign of the second derivative and the convexity / concavity of a function in an interval (with proof). Flex points. Global concavity and convexity conditions.
9) Integral calculus
Primitive of a function. Indefinite integral. Properties of primitives (with proof). Property of the indefinite integral. Immediate indefinite integrals. Integration by parts (with proof). Area subtended by a curve. Superior and inferior integral sum. Definition of definited Riemann integral. Property
of the definite integral. Integral function. The integral mean value theorem (with proof). Torricelli-Barrow's theorem (with proof). Corollary to Torricelli-Barrow's theorem (with proof).
10) Linear algebra
Vectors and their geometric representation. Product of a vector for a scalar. Vectors addition. The vector space Rn: Linear combination of
vectors. Linearly dependent and independent vectors. Matrices. Matrix addition. Matrix multiplication. Determinant of a matrix. Matrix
inverse. Uniqueness of the inverse matrix (with proof). Necessary condition for the existence of the inverse matrix (with proof). Sufficient condition for the existence of the inverse matrix. Transposed matrix. Rank of a matrix. Linear equation systems. Cramer's theorem. Rouché-Capelli theorem. Homogeneous systems. Parametric systems

Mathematics for economists Carl P. Simon, Lawrence Blume- W.W. Norton and Company, Inc.
Only:Chapter 2, Chapter 3, Chapter 4, Chapter 5, Chapter 6, Chapter 7, Appendix 4 .

Functions of One Variable. Properties of Functions. Differentiation. Derivatives in Use. Single-Variable Optimization. Integration. Matrix and Vector Algebra. Determinants and Inverse Matrices. Systems of Linear Equations.

Mathematics for economists Carl P. Simon, Lawrence Blume- W.W. Norton and Company, Inc.
Only: Chapter 2, Chapter 3, Chapter 4, Chapter 5, Chapter 6, Chapter 7, Appendix 4.

or

Essential Mathematics for Economic Analysis
Knut Sydsæter, Peter Hammond, Arne Strøm
Only : Chapter1, Chapter 2, Chapter 3, Chapter 4, Chapter 5, Chapter 6, Chapter 7, Chapter 8, Chapter 9, Chapter 15, Chapter 16.

Logica proposizionale ed insiemistica: Proposizioni, operazioni con le proposizioni, insiemi, operazioni con gli insiemi ed applicazioni.
Insiemi numerici: Numeri interi, relativi, razionali, reali; insiemi numerici limitati; intervalli, intorni, punti di accumulazione in R.
Sommatoria e produttoria Somme particolari e proprietà.
Cenni alle successioni e serie numeriche
Funzioni reali di variabile reale: Funzioni iniettive, suriettive, pari e dispari, funzioni elementari, funzioni composte, funzioni invertibili, grafici deducibili da quelli noti; limiti, teoremi di unicità del limite, teoremi della permanenza del segno, teorema del confronto; continuità, Teorema degli zeri, teorema di Weierstrass e di Darboux; infinitesimi, infiniti, ordine, teoremi di cancellazione.
Calcolo differenziale: Rapporto incrementale, derivata, teorema su derivabilità e continuità, regole di derivazione, derivazione funzioni composte e funzioni inverse, differenziale, derivate di ordine superiore, approssimazione con polinomi di Taylor e di Mc Laurin.
Studio di funzioni: Massimi e minimi relativi, teorema di Fermat, teorema di Rolle, teorema di Lagrange e corollari, teorema di De L’Hospital, funzioni concave e convesse.
Calcolo integrale: Funzioni primitive e integrale indefinito, integrazione per parti e per sostituzione, integrale definito: proprietà, teorema della media, teorema di Torricelli Barrow e corollario.
Algebra lineare: Vettori, spazi vettoriali, vettori linearmente dipendenti e non, basi, matrici, operazioni con le matrici, determinante, rango, matrice inversa, sistemi di equazioni lineari, teorema di Cramer e di Rouchè-Capelli, sistemi parametrici.

teaching material on the teacher's website

1. The Economic system. Definitions and measurement of the main macroeconomic aggregates
2. Macroeconomic equilibrium and the Keynesian theory of income and employment
3.The public sector
4. The open economy: balance of payments, exchange rate, external constraint
5. Money and financial activities. The Central Bank and the banking sector, Demand and supply of money, interest rate determination.
6. Aggregate investment and the rate of interest. Controversial aspects.
7. The IS-LM model. Economic policy in the IS-LM model in a closed economy. Effects of changes in nominal wages
8. The IS-LM model for the open economy, exchange rate regimes and the effects of economic policy
9.The AD-AS model and its implications for the theory of output and employment
10. Inflation and unemployment some elements towards an interpretation

C. De Vincenti, MACROECONOMIA - ELEMENTI DI BASE, editore Carocci, 2003 (except parr 9.5 e 9.6 and chapt. 10) + macroeconomics hand-outs by prof. Antonella Stirati available at the library

1. National accounts
2. The neoclassical model
3. Aggregate demand and income multipliers
4. Money and interest
5. The IS-LM model
6. The AD-AS model
7. The Phillips curve
8. The new-Keynesian models

- R. Dornbusch, S. Fischer, R. Startz, G. Canullo, P. Pettenati, Macroeconomia, McGraw Hill, Milano, 2014
- J.R. Hicks, “Il processo produttivo, il lavoro e il capitale”, in M. Pivetti (a cura di), Letture di Economia Politica, LED, Milano
- O. Castellino, Introduzione alla contabilità nazionale, Giappichelli editore, Torino, 1991

GENERAL CHARACTERISTICS OF CORPORATE ORGANISATIONS
1) The firm as an economic entity: General characteristics of the firm. Corporate entities: legal and economic identity. Types of firms.
2) The firm in its broader economic perspective: The enterprise as an individual economic undertaking: private enterprises and state-owned enterprises. The company’s purpose. Financial and economic stability as a prerequisite of a company’s existence. Economic stability and different types of economic operability. Payment for operating and production inputs used by enterprises. Corporate risk and who bears it. Income and company profitability.
3) The organizational structure as part of the decision-making process; management control in modern corporations: Evolution of the corporate organizational models shaping the decision-making structure. Control exercised in corporations by different stakeholders. The planning and control function in modern corporations.
4) Corporate funding: Capital requirements, and how much is needed. Corporate funding: equity and debt capital in their various forms. Funding through cash generation. Capital structure of the company; choice of cost-efficient financing options; the dynamic relationship between equity and debt capital. Short-term capital and long-term financing.
MONITORING AND MEASUREMENT OF COMPANY PERFORMANCE
1) The accounting logic: Rationale. Nature of data to be examined. Methodologies. The corporate record-keeping system in a broad sense.
2) Accounting practice: The theory of double entry bookkeeping. Double entry bookkeeping applied to manufacturing companies. Bookkeeping entries for general business transactions, initiating joint-stock companies, special transactions (wages and salaries, financial transactions etc…), adjusting entries and year-end closing entries. Practical exercises in applying accounting record-keeping systems and measurement principles to business transactions.

Paoloni M., Paoloni P. (a cura di), Introduzione ed orientamento allo studio delle aziende, Giappichelli, 2009
Paoloni M., Celli, M. (a cura di), Introduzione alla contabilità generale, CEDAM, 2012

Alternatively:

David Boddy, Management: an Introduction, Financial Times Prentice Hall, 2011
Leslie K. Breitner and Robert N. Anthony, Essentials of Accounting, Pearson, 2013

Program
1) Organisations and entities.
General characters: Aims of organisations. "Legal entity" and "economic entity." Various types of organisations
2) Broader characters of an Organisation.
Private and public companies. Equilibrium conditions. Possible ways to remunerate resources used by the organisation. The business risk. Income and profit.
3) Funding
The need for capital and its determination. Corporate finance, "equity" and "debt capital"; corporate self-financing; the dynamic relationship between "equity" and "debt capital". A corporate' s financial structure.
4) Accounting as a tool for information
Logical moments. The nature of facts under investigation. Methods.
5) The accounting recognition
Theory of the double-entry accounting. Systematic and comprehensive recording of financial transactions pertaining to a business.

Part I: The Economy of the Company: Business Economics and Accounting. The study of the conditions of existence of the corporate body; the personal component and the operating means of the company. Object of the company. Corporate subjects: "legal entities" and "economic subject". Organization. The organizational structures. Various types of company. The institution of the company, its location, its size.
The supply company: general characteristics and management schemes. Production companies for the exchange of goods and services: companies. The aims of the company. The economic balance as a fundamental condition of the life of the company. Economic balance and economy. The possible ways of remunerating the productive factors used by the company. The business risk and the subjects on which it weighs. Business efficiency. The process of forming the company's income. The capital requirement and its determination. Company financing: equity and credit capital in their various forms; corporate self-financing; the choice of convenient forms of financing; the dynamic relationship between equity and credit capital. The financial structure of the company.
The process of dimensional growth of companies: the main characteristics, nature, structure, internal exchange and production operations in groups of companies.
Part II: Accounting elements: Double-entry theory and method. The double-entry method applied to the income system in production companies. The accounting records of the incorporation operations and of the main operations. The accounts for closing and reopening the accounts.

Zanda, Fondamenti di Economia Aziendale, Giappichelli, ultima edizione
oppure
Zanda, Lineamenti di Economia Aziendale, Kappa, ultima edizione

L. MUSERRA, T.ONESTI, Esercitazioni di economia aziendale, Giappichelli, 2013 (ebook, available on the website giappichelli.it).
Please refer to the onestieconomiaaziendale.wordpress.com course page for course material.

First part: BUSINESS ADMINISTRATION
1) Business Economics and Accounting. General company characters. The firm as an economic entity: General characteristics of the firm. Corporate entities: legal and economic identities. Types of firms.
2) The enterprise as an individual economic undertaking: private enterprises and state-owned enterprises. The company’s purpose. Financial and economic stability as a prerequisite of a company’s existence. Economic stability and different types of economic operability. Payment for operating and production inputs used by enterprises. Corporate risk. Income and profitability. Social responsibility and sustainability. The process of dimensional growth of companies: the main characteristics, nature, structure, internal exchange and production operations in groups of companies.
3) Assessment of financial needs. Corporate funding: equity and debt capital in their various forms. Funding through cash generation. The capital structure of the company; choice of cost-efficient financing options; the dynamic relationship between equity and debt capital. Short-term capital and long-term financing.

Second part: ACCRUAL ACCOUNTING
Double-entry theory and method. The double-entry method applied to the income system in production companies. The accounting records of the incorporation operations and of the main operations. The accounts for closing and reopening the accounts.

Part I
ZANDA, Lineamenti di Economia Aziendale, Edizioni Kappa, Roma, 2006;
Part II
T.ONESTI et al. (a cura di), Esercitazioni di economia aziendale, Giappichelli, Torino, 2013 (ebook).

During the lessons, the teacher will provide additional support material through the website of the chair: https://onestieconomiaaziendale.wordpress.com/

GENERAL CHARACTERISTICS OF CORPORATE ORGANISATIONS
1) The firm as an economic entity: General characteristics of the firm. Corporate entities: legal and economic identity. Types of firms.
2) The firm in its broader economic perspective: The enterprise as an individual economic undertaking: private enterprises and state-owned enterprises. The company’s purpose. Financial and economic stability as a prerequisite of a company’s existence. Economic stability and different types of economic operability. Payment for operating and production inputs used by enterprises. Corporate risk and who bears it. Income and company profitability.
3) The organizational structure as part of the decision-making process; management control in modern corporations: Evolution of the corporate organizational models shaping the decision-making structure. Control exercised in corporations by different stakeholders. The planning and control function in modern corporations.
4) Corporate funding: Capital requirements, and how much is needed. Corporate funding: equity and debt capital in their various forms. Funding through cash generation. Capital structure of the company; choice of cost-efficient financing options; the dynamic relationship between equity and debt capital. Short-term capital and long-term financing.
MONITORING AND MEASUREMENT OF COMPANY PERFORMANCE
1) The accounting logic: Rationale. Nature of data to be examined. Methodologies. The corporate record-keeping system in a broad sense.
2) Accounting practice: The theory of double entry bookkeeping. Double entry bookkeeping applied to manufacturing companies. Bookkeeping entries for general business transactions, initiating joint-stock companies, special transactions (wages and salaries, financial transactions etc…), adjusting entries and year-end closing entries. Practical exercises in applying accounting record-keeping systems and measurement principles to business transactions.

Paoloni M., Paoloni P. (a cura di), Introduzione ed orientamento allo studio delle aziende, Giappichelli, 2009
Paoloni M., Celli, M. (a cura di), Introduzione alla contabilità generale, CEDAM, 2012

Structure of the computer. Hardware and Software. General diagram of a data processing system. Type of computers. The use of the computer memories. The processor. The multiprocessor architectures. Input / Output: Ports for input / output of the computer. The units of input. The units of output. Operating systems. Characteristics of the operating systems. The multitasking operating systems. The Windows operating system. The graphical interface. Computer networks.
The communication between computers. Protocols and interfaces. The local networks. The transmission media. The types of network. The network technologies. The wide area networks. Client-server architecture and peer-to-peer networks. Internetwork. Internet. The services of the Internet.
. Word processing and presentation tools. Spreadsheets Use of data bases

ECDL Syllabus 5.0
Lectures notes provided by the teacher

The program includes:
Introduction to law
Forms of State and forms of Government
Beyond the State: the EU
The sources of law
Parliament and its functions
Institutes of direct democracy
The abrogative referendum.
The Government and its functions
The President of the Republic and his attributions
Principles on the subject of Administration
The other organs
Local ordering
Rights and freedom
The economic Constitution
Judicial power
Constitutional Justice

It is recommended the study of one of the following books:
R. BIN – G. PITRUZZELLA, Diritto pubblico, Torino, Giappichelli, latest edition
P. CARETTI – U. DE SIERVO, Istituzioni di Diritto pubblico, Torino, Giappichelli, latest edition
F. Modugno (a cura di), Diritto Pubblico, Torino, Giappichelli, latest edition
C. ROSSANO, Manuale di Diritto pubblico, Napoli, Jovene, latest edition

1. Production and prices: general elements
The production process. Production methods and their representation. The social production process. Economy of mere subsistence. Economy producung surplus. Basic and non-basic goods.

2. Fundamentals of the classical theory of distribution and relative prices
The real wage and other circumstances taken as given in the 'core' of the theory. The concept of social surplus. Profits and general profit rate. Distinction and relationship between "normal" and "market" prices. Price equations: simultaneous determination of profit rate and relative prices. Importance and limits of the solutions to the problem attempted by Ricardo and Marx. The inverse wage-profit relationship. The theory of rent.

3. Fundamentals of the marginalist theory of distribution and relative prices
The data of the theory. Consumer theory. Functions of consumption good demand. Production theory. Direct and indirect substitutability as analytical bases for factor demand functions. Determination of distribution and relative prices in terms of supply and demand equilibria. Comparison with the classical theory of distribution. Implications of general economic equilibrium: full employment of available resources; Pareto optimality; efficiency in exchange; efficiency in production; efficiency in the combination of outputs. The notion of capital as a single productive factor and the difficulties that derive from it (mention).

4. Analysis of the single industry and market forms
The analysis of "partial" equilibrium. Short and long term cost curves of the individual enterprise. Equilibrium of enterprise and industry under competitive conditions, in the short and long period. Quantity produced and price, in the short and long period, in monopoly and monopolistic competition. The oligopoly: Cournot model.

■ "Elementi di teoria della produzione", Appunti per il corso di Microeconomia - Dispensa n.1
■ "La teoria classica della distribuzione e dei prezzi relativi", Appunti per il corso di Microeconomia - Dispensa n.2
■ "La teoria marginalista della distribuzione e dei prezzi relativi", Appunti per il corso di Microeconomia - Dispensa n.3

With regard to the other text adopted, the chapters and paragraphs included in the programme are set out below, with reference to the latest edition (2014).

Robert H. Frank e Edward Cartwright, Microeconomia
Milano: McGraw-Hill, VI edizione, 2014
Capitoli e paragrafi in programma:

Capitoli e paragrafi in programma:

Capitolo 3, La scelta razionale del consumatore, p. 51
{paragrafi 3.1, 3.2, 3.3, 3.4 e Appendice 3}

Capitolo 4, Domanda individuale e domanda di mercato, p. 91
{paragrafi: 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7}

Capitolo 5, Applicazioni delle teorie della scelta razionale e della domanda, p. 135
{limitatamente al paragrafo 5.7}

Capitolo 9, La produzione, p. 263
{intero capitolo, inclusa l'Appendice 9}

Capitolo 10, I costi, p. 293
{intero capitolo, inclusa l'Appendice 10}

Capitolo 11, La concorrenza perfetta, p. 329
{paragrafi: 11.1, 11.2, 11.3, 11.4, 11.5, 11.6, 11.7, 11.8?, 11.9, 11.12, 11.13}

Capitolo 12, Il monopolio, p. 371
{paragrafi: 12.1, 12.2, 12.3, 12.4, 12.5, 12.6, 12.8}

Capitolo 13, Concorrenza imperfetta: un approccio basato sulla teoria dei giochi, p. 421
{paragrafi: 13.1, 13.2, 13.4 limitatamente al sotto-paragrafo 13.4.1}

Capitolo 15, L'equilibrio generale e l'efficienza dei mercati, p. 515
{paragrafi: 15.1, 15.2, 15.3, 15.4, 15.6, 15.7}

Elements of the theory of production
- inputs, outputs and production methods
- the subsistence economy
- the economy with a surplus
The surplus approach to commodity value and income distribution
- the relevance of social and institutional elements to income distribution
- the explanation of the real wage rate
- the "core" of the classical approach
- the link between profit rate and relative prices
- the price equations
- the classical theory of rent
The theory of consumer choice
- budget set and budget constraint
- preferences
- consumer choice
- consumer-good demand curves
The theory of firm choice
- the function of production
- profit maximisation
- isoquants and isocosts
- the output expansion path and long-term cost curves
Production factors and the marginalist explanation of income distribution
- marginal and average productivity of factors
- the demand curves of factors of production
- equilibrium between supply and demand for factors of production
Market forms
- perfect competition
- monopoly
- Cournot oligopoly
- Stackelberg oligopoly
Introduction to the welfare economics
- allocations and Edgeworth box
- Pareto improvements and Pareto optima
- first theorem of welfare economics

i) "Elementi di teoria della produzione", Appunti per il corso di Microeconomia - Dispensa n. 1 (teaching material written by R. Ciccone, S.M. Fratini e A. Trezzini).
ii) "La teoria classica della distribuzione e dei prezzi relativi", Appunti per il corso di Microeconomia - Dispensa n. 2 (teaching material written by R. Ciccone, S.M. Fratini e A. Trezzini).
iii) "La teoria marginalista della distribuzione e dei prezzi relativi", Appunti per il corso di Microeconomia - Dispensa n. 3 (teaching material written by R. Ciccone, S.M. Fratini e A. Trezzini).
iv) R.H. Frank, Microeconomia. McGraw-Hill Libri Italia, Milano.
v) "Glossario ed Esercizi Svolti di Microeconomia" (teaching material written by S.M. Fratini e D. Pignalosa).

An introduction to the fundamental ideas of statistics. Topics include descriptive statistics, probability, confidence intervals, and testing hypotheses, as well as the basics of Chi-square tests, regression and correlation.

1) L. PIERACCINI, A. NACCARATO. LEZIONI DI STATISTICA DESCRITTIVA, GIAPPICHELLI, 2003.
2) L. PIERACCINI. FONDAMENTI DI INFERENZA STATISTICA. II EDIZ. GIAPPICHELLI, 2007.

OR ONE AMONG:
- S.M. ROSS. INTRODUZIONE ALLA STATISTICA, APOGEO, 2008.
- D. PICCOLO. STATISTICA PER LE DECISIONI, IL MULINO, BOLOGNA, EDIZIONE 2010.
- D.S. MOORE. STATISTICA DI BASE, APOGEO, 2005.

This graduate level course covers the following topics:
An overview of statistics
Data description: scales of measurement, how to describe data graphically for categorical data (pie chart, bar chart) and graphs for quantitative variables (histogram, pie chart)
How to describe data by summary statistics: measures of central tendency, variability and skewness.
How to create a box plot
How probability and probability distributions are involved in statistics
How binomial distributions are involved in statistics
The role that normal distributions play in statistics
Simple random sampling and sampling distribution of sample mean, central limit theorem, normal approximation to the binomial
Differentiation between a population and a sample, how to use a statistic to estimate a population parameter, confidence interval and its interpretation, inferences of population mean and proportion
Confidence interval for population mean, Sample size needed for estimating the population mean with a specified confidence level and specified width of the interval
Hypothesis testing: in terms of how to set up Null and Alternative hypotheses, understanding Type I and Type II errors, performing a statistical test for the population mean
p-value, how to compute it and how to use it
Inferences about μ with σ unknown: the t-distribution and the assumptions required to check in order to use it
How to compare the mean of two populations for independent samples: using pooled variances t-test versus separate variances t-test
How to compare the mean of two populations for paired data
How to compare two population proportions
Using contingency table and the Chi-square test of independence
Understanding concepts related to linear regression models including, least squares method, correlation, inferences about the parameters in the linear regression model

The course the course is taught in Italian so textbooks are in Italian:
- G. Cicchitelli, Statsitica: Principi e Metodi, Pearson Education, 3/Eds
- Sebastiani M. R. (2015) “Esercitazioni di statistica”. Esculapio Editore, 3° edizione.
For English speaking students a textbook is:
Introductory Statistics for Business and Economics by Thomas H. Wonnacott and Ronald J. Wonnacott
John Wiley & Sons Inc; International 2 Revised ed
Notes and handout (in Italian) are available at the web page of the course.

The course is composed by modules. The first two modules include the following legal categories: sources of law; subjective juridical situations; physical and juridical persons; legal assets, real rights in re propria and in re aliena; fact, act and trade; obligations; contracts in general. The third part focuses on the forms of transfer of familial property, with particular emphasis on the discipline of family law and mortis causa succession.

- M. NUZZO, Introduzione alle scienze giuridiche. Norme - Soggetti - Attività, 3ª ed., Giappichelli, 2009
- F. MACIOCE, L’obbligazione e il contratto, 3ª ed., Giappichelli, 2013
- L. ROSSI CARLEO, E. BELLISARIO, V. CUFFARO, Famiglia e successioni. Le forme di circolazione della ricchezza familiare, 4ª ed., Giappichelli, 2016 (excluding sec. from 6 to 12 Chap. III; Chap. VIII and Chap. X)

The course is composed by modules. The first two modules include the following legal categories: sources of law; subjective juridical situations; physical and juridical persons; legal assets, real rights in re propria and in re aliena; fact, act and trade; obligations; contracts in general. The third part focuses on the forms of transfer of familial property, with particular emphasis on the discipline of family law and mortis causa succession.

- M. NUZZO, Introduzione alle scienze giuridiche. Norme - Soggetti - Attività, 3ª ed., Giappichelli, 2009
- F. MACIOCE, L’obbligazione e il contratto, 3ª ed., Giappichelli, 2013
- L. ROSSI CARLEO, E. BELLISARIO, V. CUFFARO, Famiglia e successioni. Le forme di circolazione della ricchezza familiare, 4ª ed., Giappichelli, 2016 (excluding sec. from 6 to 12 Chap. III; Chap. VIII and Chap. X)

The Course aims, first of all, to provide an overview of the role and the main functions of the financial system. The central part of the Course is dedicated to an analysis of the technical characteristics and of the economic and management profiles of financial instruments and markets. Finally, the Course presents the objectives as well as the organization and the behavioral models of financial intermediaries.

Nadotti L., Porzio C., Previati D. (2013), Economia degli Intermediari Finanziari (Financial Markets and Institutions), second edizione, McGraw-Hill Education, Milan.

The course is structured in three parts:
1) The company and the strategy
2) The functions of company management
3) Operational management

Specifically, the course deals with:
Firms and their roles
Firm and their environment
Stakeholders theory
Theory of the firm
Strategic management of the company
The competitive analysis
Evolution of sectors and competitive structures
The Resource Based View
The competitive advantage
The growth of the company
The roles of corporate management: management, programming, control, human resources, information systems, knowledge management
Operational management: marketing, production, finance, logistics, innovation, administration

Teaching material is as follows:
• textbook: Sciarelli (2014) La gestione dell’impresa. Tra teoria e pratica aziendale, CEDAM
• Slides
• Notes
• Any video used and indicated
• Any case and exercise
• Guest Speeches
• Additional material shared by students for supplementary activities

Students interested in better examining the topics are kindly invited to discuss with the instructor.

1. PRELIMINARY CONCEPTS Money, time and risks. Present and future value, principal and interest. Contracts, exchange, prices. The risks.

2. FOUNDATIONS OF FINANCIAL CONTRACTS EVALUATION
2.1 EVALUATION IN CERTAINTY CONDITIONS Financial laws in certainty conditions. The exponential law. Annuities and mortgages. Internal rate of return on a financial transaction. Theory of financial equivalence laws.
2.2 FINANCIAL OPERATIONS IN THE MARKET. Value function and market price. The term structure. Duration indices and variability indices. Arbitrage valuations of floating rate notes. Interest Rate Swap. Term structure measurement. Term structure evolution. Introduction to financial options. Basic elements on equity options. Basic elements on traditional life insurance contracts.

David G. Luenberger
Investment Science
Oxford University Press (any edition)

Annamaria Olivieri, Ermanno Pitacco
Introduction to Insurance Mathematics
Springer, 2011

1. PRELIMINARY CONCEPTS Money, time and risks. Present and future value, principal and interest. Contracts, exchange, prices. The risks.

2. FOUNDATIONS OF FINANCIAL CONTRACTS VALUATION

2.1 VALUATION IN CERTAINTY CONDITIONS Financial laws under certainty conditions. The exponential law. Annuities and mortgages. Internal rate of return of a financial transaction. Theory of financial laws.

2.2 FINANCIAL OPERATIONS IN THE MARKET. Value function and market price. The term structure. Duration indices and variability indices. Arbitrage valuation of floating rate notes. Interest Rate Swap. Term structure measurement. Term structure evolution. Introduction to financial options. Basic elements on equity options. Basic elements on traditional life insurance contracts.

David G. Luenberger
Investment Science
Oxford University Press (any edition)

Annamaria Olivieri, Ermanno Pitacco
Introduction to Insurance Mathematics
Springer, 2011

the class analyzes the following matters: entrepreneur's general rules; individual and collective entrepreneur; the company; partnership and corporation; cooperative societies; company modifications; auxiliary entrepreneur; the farm; debt securities general principles and promissory note; bankruptcy law general principles.

AA.VV., Manuale di diritto commerciale ideato da V. Buonocore, Torino, Giappichelli, last edition

The course will cover the following topics:
1. The entrepreneur (of any kind).
2. The rules set forth for the commercial enterprises.
2. Companies and other business organizations.
4. The joint-stock company and the limited partnership by shares.
5. Transformation, merger and spin-off.
6. The co-operative companies, the consortia and the joint-ventures.
7. Bankrupcy (general principles).

V. Buonocore (a cura di), Manuale di diritto commerciale, Torino, Giappichelli, ultima edizione:
parte I, cap. I e cap. II
parte I, cap. IV e cap. V;
parte I, cap. VIII;
parte II, tutta;
parte V, sez. I e sez. II, parag. 1 e parag. 2
parte VI, sez. I.

Si consiglia lo studio della materia con l’ausilio di un Codice civile aggiornato, completo di leggi collegate.

Three modules are scheduled.
Module I –Accounting, Basic
Review of basic corporate financial reports and disclosures that serve as inputs to valuation analysis.
Module II – Financial Statement Analysis
Analysis of financial ratios to measure financial risks and returns; analysis of financial disclosures to identify red flags of potential distress or earnings manipulation;
Module III – Firm Valuation, Basics
Valuation issues with taxes, intangibles and financial investments; developing cash flow forecasts; and integrating the above tools and techniques to determine the valuation of a firm equity.
Students will learn common valuation methods such as discounted cash flow analysis and earnings based valuation, and also learn to use other approaches used in the valuation industry such the use of valuation multiples and comparable transactions analysis.
Examples from court cases involving valuation disputes will be adopted to illustrate practical valuation problems.

Course material
_ E-Book to download from course website

Key reading list
_ Sutton T (last edition), Corporate Financial Accounting & Reporting, Prentice Hall
_ Damodaran A. (last edition), Damodaran on Valuation: Security Analysis for Investment and Corporate Finance, Wiley Finance
_
Websites
_ on valuation: http://pages.stern.nyu.edu/~adamodar/

GENERAL

The notion of tax and the classification of taxes
The tax law
The sources of tax law
The integrity of the norm in time and space
The interpretation of the tax law
The constitutional principles
Abuse of tax law and tax avoidance
The tax report and its subjects
Instrumental obligations
The investigation
The assessment
Collection
The refund
Sanctions
Jurisdictional protection


SPECIAL

The star system in Italy
The income tax
The IRES
The IRAP
The registration tax
Inheritance and gift tax
The IMU

F. TESAURO, Compendio di diritto tributario, Utet, Torino, latest edition available

Propositional logic. Propositions. Decidable propositions. Logical operations between propositions. Logical implication. Necessity, sufficiency and necessity and sufficiency. Truth tables. Theorem. Methods for proving a theorem. Sets. Operations between sets. Numerical sets:
natural numbers, relative numbers and rational numbers. Infimum and supremum of a numerical set. Irrationality of square root of 2 (with proof). Dedekind's axiom. The real numbers set. Real numbers and their representation on the straight line. Limited and non-limited sets. Maximum and minimum of a numerical set. Intervals and boundary of a point. Elements of line topology: isolated, boundary, internal and accumulation points. Open sets. Closed sets. A set is closed if and only if it contains all its accumulation points.
2) Sums
Definition of summation. Sum of the first natural n (with proof). Sum of the first n terms of a geometric progression (with proof). Summation properties.
3) Real functions of real variable
Real functions of real variable. The Cartesian plane and the graph of a function. Injective and surjective functions. Invertible functions. Even and odd functions. Increasing and decreasing functions. Link between monotony and injectivity. Inverse function. Inverse function graph. Elementary functions. Transformations of elementary functions. Compound function. Multi-law defined functions. Domain of a function.
4) Sequences and numerical series
Converging, diverging and indeterminate sequences. Limits of sequences. Definition of numerical series. Necessary condition for convergence
of a series (with proof). The character of the geometric series (with proof). Mengoli series and its value (with proof).
5) Limits of real functions of real variable
Definition of limits. Right-hand limit and left-hand limit. Vertical and horizontal asymptote. Oblique asymptote. Theorem on uniqueness of limit. (with proof). Theorems on sign permanence (with proof). Rational operations on limits. Indeterminate forms. Notable limits.
6) Infinites and infinitesimals
Definition of infinitesimal and infinite. Comparison between infinitesimal and infinite. Order of infinitesimal and infinite. Cancellation theorems (with proof). Order propagation.
7) Continuity
Definition of continuity in a point. Continuity in a set. Classification of discontinuity points. Continuity of elementary functions. Continuity
of the compound function. Continuity of functions defined by several laws. Theorem of zeros for continuous functions. Weierstrass's theorem. Darboux's theorem (with proof).
8) Differential calculus
Difference quotient. Derivative of a function in a point and its geometric meaning. Derivability implies continuity (with proof). Points of non-derivability.
Derivative function and derivatives of subsequent order. Derivative of elementary functions. The rules of derivation. Derivative of compound functions. De L’Hopital's theorem and its application to indeterminate forms. Taylor polynomial of order 1 and order 2 (with proof). The factorial of n. Taylor polynomial
of order n. Mc Laurin polynomial. Differential and its geometric meaning. First-order error theorem (with proof). Local maxima and minima. Fermat's theorem (with proof). Rolle's theorem (with proof). Lagrange's theorem (with proof). Corollaries to Lagrange's theorem (with proof). Relationship between the sign of the first derivative and the increasing / decreasing functions in an interval (with proof). Concavity and convexity in a point. Relationship between the sign of the second derivative and the convexity / concavity of a function in an interval (with proof). Flex points. Global concavity and convexity conditions.
9) Integral calculus
Primitive of a function. Indefinite integral. Properties of primitives (with proof). Property of the indefinite integral. Immediate indefinite integrals. Integration by parts (with proof). Area subtended by a curve. Superior and inferior integral sum. Definition of definited Riemann integral. Property
of the definite integral. Integral function. The integral mean value theorem (with proof). Torricelli-Barrow's theorem (with proof). Corollary to Torricelli-Barrow's theorem (with proof).
10) Linear algebra
Vectors and their geometric representation. Product of a vector for a scalar. Vectors addition. The vector space Rn: Linear combination of
vectors. Linearly dependent and independent vectors. Matrices. Matrix addition. Matrix multiplication. Determinant of a matrix. Matrix
inverse. Uniqueness of the inverse matrix (with proof). Necessary condition for the existence of the inverse matrix (with proof). Sufficient condition for the existence of the inverse matrix. Transposed matrix. Rank of a matrix. Linear equation systems. Cramer's theorem. Rouché-Capelli theorem. Homogeneous systems. Parametric systems

Mathematics for economists Carl P. Simon, Lawrence Blume- W.W. Norton and Company, Inc.
Only:Chapter 2, Chapter 3, Chapter 4, Chapter 5, Chapter 6, Chapter 7, Appendix 4 .

Functions of One Variable. Properties of Functions. Differentiation. Derivatives in Use. Single-Variable Optimization. Integration. Matrix and Vector Algebra. Determinants and Inverse Matrices. Systems of Linear Equations.

Mathematics for economists Carl P. Simon, Lawrence Blume- W.W. Norton and Company, Inc.
Only: Chapter 2, Chapter 3, Chapter 4, Chapter 5, Chapter 6, Chapter 7, Appendix 4.

or

Essential Mathematics for Economic Analysis
Knut Sydsæter, Peter Hammond, Arne Strøm
Only : Chapter1, Chapter 2, Chapter 3, Chapter 4, Chapter 5, Chapter 6, Chapter 7, Chapter 8, Chapter 9, Chapter 15, Chapter 16.

Logica proposizionale ed insiemistica: Proposizioni, operazioni con le proposizioni, insiemi, operazioni con gli insiemi ed applicazioni.
Insiemi numerici: Numeri interi, relativi, razionali, reali; insiemi numerici limitati; intervalli, intorni, punti di accumulazione in R.
Sommatoria e produttoria Somme particolari e proprietà.
Cenni alle successioni e serie numeriche
Funzioni reali di variabile reale: Funzioni iniettive, suriettive, pari e dispari, funzioni elementari, funzioni composte, funzioni invertibili, grafici deducibili da quelli noti; limiti, teoremi di unicità del limite, teoremi della permanenza del segno, teorema del confronto; continuità, Teorema degli zeri, teorema di Weierstrass e di Darboux; infinitesimi, infiniti, ordine, teoremi di cancellazione.
Calcolo differenziale: Rapporto incrementale, derivata, teorema su derivabilità e continuità, regole di derivazione, derivazione funzioni composte e funzioni inverse, differenziale, derivate di ordine superiore, approssimazione con polinomi di Taylor e di Mc Laurin.
Studio di funzioni: Massimi e minimi relativi, teorema di Fermat, teorema di Rolle, teorema di Lagrange e corollari, teorema di De L’Hospital, funzioni concave e convesse.
Calcolo integrale: Funzioni primitive e integrale indefinito, integrazione per parti e per sostituzione, integrale definito: proprietà, teorema della media, teorema di Torricelli Barrow e corollario.
Algebra lineare: Vettori, spazi vettoriali, vettori linearmente dipendenti e non, basi, matrici, operazioni con le matrici, determinante, rango, matrice inversa, sistemi di equazioni lineari, teorema di Cramer e di Rouchè-Capelli, sistemi parametrici.

teaching material on the teacher's website

1. The Economic system. Definitions and measurement of the main macroeconomic aggregates
2. Macroeconomic equilibrium and the Keynesian theory of income and employment
3.The public sector
4. The open economy: balance of payments, exchange rate, external constraint
5. Money and financial activities. The Central Bank and the banking sector, Demand and supply of money, interest rate determination.
6. Aggregate investment and the rate of interest. Controversial aspects.
7. The IS-LM model. Economic policy in the IS-LM model in a closed economy. Effects of changes in nominal wages
8. The IS-LM model for the open economy, exchange rate regimes and the effects of economic policy
9.The AD-AS model and its implications for the theory of output and employment
10. Inflation and unemployment some elements towards an interpretation

C. De Vincenti, MACROECONOMIA - ELEMENTI DI BASE, editore Carocci, 2003 (except parr 9.5 e 9.6 and chapt. 10) + macroeconomics hand-outs by prof. Antonella Stirati available at the library

1. National accounts
2. The neoclassical model
3. Aggregate demand and income multipliers
4. Money and interest
5. The IS-LM model
6. The AD-AS model
7. The Phillips curve
8. The new-Keynesian models

- R. Dornbusch, S. Fischer, R. Startz, G. Canullo, P. Pettenati, Macroeconomia, McGraw Hill, Milano, 2014
- J.R. Hicks, “Il processo produttivo, il lavoro e il capitale”, in M. Pivetti (a cura di), Letture di Economia Politica, LED, Milano
- O. Castellino, Introduzione alla contabilità nazionale, Giappichelli editore, Torino, 1991

GENERAL CHARACTERISTICS OF CORPORATE ORGANISATIONS
1) The firm as an economic entity: General characteristics of the firm. Corporate entities: legal and economic identity. Types of firms.
2) The firm in its broader economic perspective: The enterprise as an individual economic undertaking: private enterprises and state-owned enterprises. The company’s purpose. Financial and economic stability as a prerequisite of a company’s existence. Economic stability and different types of economic operability. Payment for operating and production inputs used by enterprises. Corporate risk and who bears it. Income and company profitability.
3) The organizational structure as part of the decision-making process; management control in modern corporations: Evolution of the corporate organizational models shaping the decision-making structure. Control exercised in corporations by different stakeholders. The planning and control function in modern corporations.
4) Corporate funding: Capital requirements, and how much is needed. Corporate funding: equity and debt capital in their various forms. Funding through cash generation. Capital structure of the company; choice of cost-efficient financing options; the dynamic relationship between equity and debt capital. Short-term capital and long-term financing.
MONITORING AND MEASUREMENT OF COMPANY PERFORMANCE
1) The accounting logic: Rationale. Nature of data to be examined. Methodologies. The corporate record-keeping system in a broad sense.
2) Accounting practice: The theory of double entry bookkeeping. Double entry bookkeeping applied to manufacturing companies. Bookkeeping entries for general business transactions, initiating joint-stock companies, special transactions (wages and salaries, financial transactions etc…), adjusting entries and year-end closing entries. Practical exercises in applying accounting record-keeping systems and measurement principles to business transactions.

Paoloni M., Paoloni P. (a cura di), Introduzione ed orientamento allo studio delle aziende, Giappichelli, 2009
Paoloni M., Celli, M. (a cura di), Introduzione alla contabilità generale, CEDAM, 2012

Alternatively:

David Boddy, Management: an Introduction, Financial Times Prentice Hall, 2011
Leslie K. Breitner and Robert N. Anthony, Essentials of Accounting, Pearson, 2013

Program
1) Organisations and entities.
General characters: Aims of organisations. "Legal entity" and "economic entity." Various types of organisations
2) Broader characters of an Organisation.
Private and public companies. Equilibrium conditions. Possible ways to remunerate resources used by the organisation. The business risk. Income and profit.
3) Funding
The need for capital and its determination. Corporate finance, "equity" and "debt capital"; corporate self-financing; the dynamic relationship between "equity" and "debt capital". A corporate' s financial structure.
4) Accounting as a tool for information
Logical moments. The nature of facts under investigation. Methods.
5) The accounting recognition
Theory of the double-entry accounting. Systematic and comprehensive recording of financial transactions pertaining to a business.

Part I: The Economy of the Company: Business Economics and Accounting. The study of the conditions of existence of the corporate body; the personal component and the operating means of the company. Object of the company. Corporate subjects: "legal entities" and "economic subject". Organization. The organizational structures. Various types of company. The institution of the company, its location, its size.
The supply company: general characteristics and management schemes. Production companies for the exchange of goods and services: companies. The aims of the company. The economic balance as a fundamental condition of the life of the company. Economic balance and economy. The possible ways of remunerating the productive factors used by the company. The business risk and the subjects on which it weighs. Business efficiency. The process of forming the company's income. The capital requirement and its determination. Company financing: equity and credit capital in their various forms; corporate self-financing; the choice of convenient forms of financing; the dynamic relationship between equity and credit capital. The financial structure of the company.
The process of dimensional growth of companies: the main characteristics, nature, structure, internal exchange and production operations in groups of companies.
Part II: Accounting elements: Double-entry theory and method. The double-entry method applied to the income system in production companies. The accounting records of the incorporation operations and of the main operations. The accounts for closing and reopening the accounts.

Zanda, Fondamenti di Economia Aziendale, Giappichelli, ultima edizione
oppure
Zanda, Lineamenti di Economia Aziendale, Kappa, ultima edizione

L. MUSERRA, T.ONESTI, Esercitazioni di economia aziendale, Giappichelli, 2013 (ebook, available on the website giappichelli.it).
Please refer to the onestieconomiaaziendale.wordpress.com course page for course material.

First part: BUSINESS ADMINISTRATION
1) Business Economics and Accounting. General company characters. The firm as an economic entity: General characteristics of the firm. Corporate entities: legal and economic identities. Types of firms.
2) The enterprise as an individual economic undertaking: private enterprises and state-owned enterprises. The company’s purpose. Financial and economic stability as a prerequisite of a company’s existence. Economic stability and different types of economic operability. Payment for operating and production inputs used by enterprises. Corporate risk. Income and profitability. Social responsibility and sustainability. The process of dimensional growth of companies: the main characteristics, nature, structure, internal exchange and production operations in groups of companies.
3) Assessment of financial needs. Corporate funding: equity and debt capital in their various forms. Funding through cash generation. The capital structure of the company; choice of cost-efficient financing options; the dynamic relationship between equity and debt capital. Short-term capital and long-term financing.

Second part: ACCRUAL ACCOUNTING
Double-entry theory and method. The double-entry method applied to the income system in production companies. The accounting records of the incorporation operations and of the main operations. The accounts for closing and reopening the accounts.

Part I
ZANDA, Lineamenti di Economia Aziendale, Edizioni Kappa, Roma, 2006;
Part II
T.ONESTI et al. (a cura di), Esercitazioni di economia aziendale, Giappichelli, Torino, 2013 (ebook).

During the lessons, the teacher will provide additional support material through the website of the chair: https://onestieconomiaaziendale.wordpress.com/

GENERAL CHARACTERISTICS OF CORPORATE ORGANISATIONS
1) The firm as an economic entity: General characteristics of the firm. Corporate entities: legal and economic identity. Types of firms.
2) The firm in its broader economic perspective: The enterprise as an individual economic undertaking: private enterprises and state-owned enterprises. The company’s purpose. Financial and economic stability as a prerequisite of a company’s existence. Economic stability and different types of economic operability. Payment for operating and production inputs used by enterprises. Corporate risk and who bears it. Income and company profitability.
3) The organizational structure as part of the decision-making process; management control in modern corporations: Evolution of the corporate organizational models shaping the decision-making structure. Control exercised in corporations by different stakeholders. The planning and control function in modern corporations.
4) Corporate funding: Capital requirements, and how much is needed. Corporate funding: equity and debt capital in their various forms. Funding through cash generation. Capital structure of the company; choice of cost-efficient financing options; the dynamic relationship between equity and debt capital. Short-term capital and long-term financing.
MONITORING AND MEASUREMENT OF COMPANY PERFORMANCE
1) The accounting logic: Rationale. Nature of data to be examined. Methodologies. The corporate record-keeping system in a broad sense.
2) Accounting practice: The theory of double entry bookkeeping. Double entry bookkeeping applied to manufacturing companies. Bookkeeping entries for general business transactions, initiating joint-stock companies, special transactions (wages and salaries, financial transactions etc…), adjusting entries and year-end closing entries. Practical exercises in applying accounting record-keeping systems and measurement principles to business transactions.

Paoloni M., Paoloni P. (a cura di), Introduzione ed orientamento allo studio delle aziende, Giappichelli, 2009
Paoloni M., Celli, M. (a cura di), Introduzione alla contabilità generale, CEDAM, 2012

Structure of the computer. Hardware and Software. General diagram of a data processing system. Type of computers. The use of the computer memories. The processor. The multiprocessor architectures. Input / Output: Ports for input / output of the computer. The units of input. The units of output. Operating systems. Characteristics of the operating systems. The multitasking operating systems. The Windows operating system. The graphical interface. Computer networks.
The communication between computers. Protocols and interfaces. The local networks. The transmission media. The types of network. The network technologies. The wide area networks. Client-server architecture and peer-to-peer networks. Internetwork. Internet. The services of the Internet.
. Word processing and presentation tools. Spreadsheets Use of data bases

ECDL Syllabus 5.0
Lectures notes provided by the teacher

The program includes:
Introduction to law
Forms of State and forms of Government
Beyond the State: the EU
The sources of law
Parliament and its functions
Institutes of direct democracy
The abrogative referendum.
The Government and its functions
The President of the Republic and his attributions
Principles on the subject of Administration
The other organs
Local ordering
Rights and freedom
The economic Constitution
Judicial power
Constitutional Justice

It is recommended the study of one of the following books:
R. BIN – G. PITRUZZELLA, Diritto pubblico, Torino, Giappichelli, latest edition
P. CARETTI – U. DE SIERVO, Istituzioni di Diritto pubblico, Torino, Giappichelli, latest edition
F. Modugno (a cura di), Diritto Pubblico, Torino, Giappichelli, latest edition
C. ROSSANO, Manuale di Diritto pubblico, Napoli, Jovene, latest edition

1. Production and prices: general elements
The production process. Production methods and their representation. The social production process. Economy of mere subsistence. Economy producung surplus. Basic and non-basic goods.

2. Fundamentals of the classical theory of distribution and relative prices
The real wage and other circumstances taken as given in the 'core' of the theory. The concept of social surplus. Profits and general profit rate. Distinction and relationship between "normal" and "market" prices. Price equations: simultaneous determination of profit rate and relative prices. Importance and limits of the solutions to the problem attempted by Ricardo and Marx. The inverse wage-profit relationship. The theory of rent.

3. Fundamentals of the marginalist theory of distribution and relative prices
The data of the theory. Consumer theory. Functions of consumption good demand. Production theory. Direct and indirect substitutability as analytical bases for factor demand functions. Determination of distribution and relative prices in terms of supply and demand equilibria. Comparison with the classical theory of distribution. Implications of general economic equilibrium: full employment of available resources; Pareto optimality; efficiency in exchange; efficiency in production; efficiency in the combination of outputs. The notion of capital as a single productive factor and the difficulties that derive from it (mention).

4. Analysis of the single industry and market forms
The analysis of "partial" equilibrium. Short and long term cost curves of the individual enterprise. Equilibrium of enterprise and industry under competitive conditions, in the short and long period. Quantity produced and price, in the short and long period, in monopoly and monopolistic competition. The oligopoly: Cournot model.

■ "Elementi di teoria della produzione", Appunti per il corso di Microeconomia - Dispensa n.1
■ "La teoria classica della distribuzione e dei prezzi relativi", Appunti per il corso di Microeconomia - Dispensa n.2
■ "La teoria marginalista della distribuzione e dei prezzi relativi", Appunti per il corso di Microeconomia - Dispensa n.3

With regard to the other text adopted, the chapters and paragraphs included in the programme are set out below, with reference to the latest edition (2014).

Robert H. Frank e Edward Cartwright, Microeconomia
Milano: McGraw-Hill, VI edizione, 2014
Capitoli e paragrafi in programma:

Capitoli e paragrafi in programma:

Capitolo 3, La scelta razionale del consumatore, p. 51
{paragrafi 3.1, 3.2, 3.3, 3.4 e Appendice 3}

Capitolo 4, Domanda individuale e domanda di mercato, p. 91
{paragrafi: 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7}

Capitolo 5, Applicazioni delle teorie della scelta razionale e della domanda, p. 135
{limitatamente al paragrafo 5.7}

Capitolo 9, La produzione, p. 263
{intero capitolo, inclusa l'Appendice 9}

Capitolo 10, I costi, p. 293
{intero capitolo, inclusa l'Appendice 10}

Capitolo 11, La concorrenza perfetta, p. 329
{paragrafi: 11.1, 11.2, 11.3, 11.4, 11.5, 11.6, 11.7, 11.8?, 11.9, 11.12, 11.13}

Capitolo 12, Il monopolio, p. 371
{paragrafi: 12.1, 12.2, 12.3, 12.4, 12.5, 12.6, 12.8}

Capitolo 13, Concorrenza imperfetta: un approccio basato sulla teoria dei giochi, p. 421
{paragrafi: 13.1, 13.2, 13.4 limitatamente al sotto-paragrafo 13.4.1}

Capitolo 15, L'equilibrio generale e l'efficienza dei mercati, p. 515
{paragrafi: 15.1, 15.2, 15.3, 15.4, 15.6, 15.7}

Elements of the theory of production
- inputs, outputs and production methods
- the subsistence economy
- the economy with a surplus
The surplus approach to commodity value and income distribution
- the relevance of social and institutional elements to income distribution
- the explanation of the real wage rate
- the "core" of the classical approach
- the link between profit rate and relative prices
- the price equations
- the classical theory of rent
The theory of consumer choice
- budget set and budget constraint
- preferences
- consumer choice
- consumer-good demand curves
The theory of firm choice
- the function of production
- profit maximisation
- isoquants and isocosts
- the output expansion path and long-term cost curves
Production factors and the marginalist explanation of income distribution
- marginal and average productivity of factors
- the demand curves of factors of production
- equilibrium between supply and demand for factors of production
Market forms
- perfect competition
- monopoly
- Cournot oligopoly
- Stackelberg oligopoly
Introduction to the welfare economics
- allocations and Edgeworth box
- Pareto improvements and Pareto optima
- first theorem of welfare economics

i) "Elementi di teoria della produzione", Appunti per il corso di Microeconomia - Dispensa n. 1 (teaching material written by R. Ciccone, S.M. Fratini e A. Trezzini).
ii) "La teoria classica della distribuzione e dei prezzi relativi", Appunti per il corso di Microeconomia - Dispensa n. 2 (teaching material written by R. Ciccone, S.M. Fratini e A. Trezzini).
iii) "La teoria marginalista della distribuzione e dei prezzi relativi", Appunti per il corso di Microeconomia - Dispensa n. 3 (teaching material written by R. Ciccone, S.M. Fratini e A. Trezzini).
iv) R.H. Frank, Microeconomia. McGraw-Hill Libri Italia, Milano.
v) "Glossario ed Esercizi Svolti di Microeconomia" (teaching material written by S.M. Fratini e D. Pignalosa).

An introduction to the fundamental ideas of statistics. Topics include descriptive statistics, probability, confidence intervals, and testing hypotheses, as well as the basics of Chi-square tests, regression and correlation.

1) L. PIERACCINI, A. NACCARATO. LEZIONI DI STATISTICA DESCRITTIVA, GIAPPICHELLI, 2003.
2) L. PIERACCINI. FONDAMENTI DI INFERENZA STATISTICA. II EDIZ. GIAPPICHELLI, 2007.

OR ONE AMONG:
- S.M. ROSS. INTRODUZIONE ALLA STATISTICA, APOGEO, 2008.
- D. PICCOLO. STATISTICA PER LE DECISIONI, IL MULINO, BOLOGNA, EDIZIONE 2010.
- D.S. MOORE. STATISTICA DI BASE, APOGEO, 2005.

This graduate level course covers the following topics:
An overview of statistics
Data description: scales of measurement, how to describe data graphically for categorical data (pie chart, bar chart) and graphs for quantitative variables (histogram, pie chart)
How to describe data by summary statistics: measures of central tendency, variability and skewness.
How to create a box plot
How probability and probability distributions are involved in statistics
How binomial distributions are involved in statistics
The role that normal distributions play in statistics
Simple random sampling and sampling distribution of sample mean, central limit theorem, normal approximation to the binomial
Differentiation between a population and a sample, how to use a statistic to estimate a population parameter, confidence interval and its interpretation, inferences of population mean and proportion
Confidence interval for population mean, Sample size needed for estimating the population mean with a specified confidence level and specified width of the interval
Hypothesis testing: in terms of how to set up Null and Alternative hypotheses, understanding Type I and Type II errors, performing a statistical test for the population mean
p-value, how to compute it and how to use it
Inferences about μ with σ unknown: the t-distribution and the assumptions required to check in order to use it
How to compare the mean of two populations for independent samples: using pooled variances t-test versus separate variances t-test
How to compare the mean of two populations for paired data
How to compare two population proportions
Using contingency table and the Chi-square test of independence
Understanding concepts related to linear regression models including, least squares method, correlation, inferences about the parameters in the linear regression model

The course the course is taught in Italian so textbooks are in Italian:
- G. Cicchitelli, Statsitica: Principi e Metodi, Pearson Education, 3/Eds
- Sebastiani M. R. (2015) “Esercitazioni di statistica”. Esculapio Editore, 3° edizione.
For English speaking students a textbook is:
Introductory Statistics for Business and Economics by Thomas H. Wonnacott and Ronald J. Wonnacott
John Wiley & Sons Inc; International 2 Revised ed
Notes and handout (in Italian) are available at the web page of the course.

The course is composed by modules. The first two modules include the following legal categories: sources of law; subjective juridical situations; physical and juridical persons; legal assets, real rights in re propria and in re aliena; fact, act and trade; obligations; contracts in general. The third part focuses on the forms of transfer of familial property, with particular emphasis on the discipline of family law and mortis causa succession.

- M. NUZZO, Introduzione alle scienze giuridiche. Norme - Soggetti - Attività, 3ª ed., Giappichelli, 2009
- F. MACIOCE, L’obbligazione e il contratto, 3ª ed., Giappichelli, 2013
- L. ROSSI CARLEO, E. BELLISARIO, V. CUFFARO, Famiglia e successioni. Le forme di circolazione della ricchezza familiare, 4ª ed., Giappichelli, 2016 (excluding sec. from 6 to 12 Chap. III; Chap. VIII and Chap. X)

The course is composed by modules. The first two modules include the following legal categories: sources of law; subjective juridical situations; physical and juridical persons; legal assets, real rights in re propria and in re aliena; fact, act and trade; obligations; contracts in general. The third part focuses on the forms of transfer of familial property, with particular emphasis on the discipline of family law and mortis causa succession.

- M. NUZZO, Introduzione alle scienze giuridiche. Norme - Soggetti - Attività, 3ª ed., Giappichelli, 2009
- F. MACIOCE, L’obbligazione e il contratto, 3ª ed., Giappichelli, 2013
- L. ROSSI CARLEO, E. BELLISARIO, V. CUFFARO, Famiglia e successioni. Le forme di circolazione della ricchezza familiare, 4ª ed., Giappichelli, 2016 (excluding sec. from 6 to 12 Chap. III; Chap. VIII and Chap. X)

The Course aims, first of all, to provide an overview of the role and the main functions of the financial system. The central part of the Course is dedicated to an analysis of the technical characteristics and of the economic and management profiles of financial instruments and markets. Finally, the Course presents the objectives as well as the organization and the behavioral models of financial intermediaries.

Nadotti L., Porzio C., Previati D. (2013), Economia degli Intermediari Finanziari (Financial Markets and Institutions), second edizione, McGraw-Hill Education, Milan.

The course is structured in three parts:
1) The company and the strategy
2) The functions of company management
3) Operational management

Specifically, the course deals with:
Firms and their roles
Firm and their environment
Stakeholders theory
Theory of the firm
Strategic management of the company
The competitive analysis
Evolution of sectors and competitive structures
The Resource Based View
The competitive advantage
The growth of the company
The roles of corporate management: management, programming, control, human resources, information systems, knowledge management
Operational management: marketing, production, finance, logistics, innovation, administration

Teaching material is as follows:
• textbook: Sciarelli (2014) La gestione dell’impresa. Tra teoria e pratica aziendale, CEDAM
• Slides
• Notes
• Any video used and indicated
• Any case and exercise
• Guest Speeches
• Additional material shared by students for supplementary activities

Students interested in better examining the topics are kindly invited to discuss with the instructor.

1. PRELIMINARY CONCEPTS Money, time and risks. Present and future value, principal and interest. Contracts, exchange, prices. The risks.

2. FOUNDATIONS OF FINANCIAL CONTRACTS EVALUATION
2.1 EVALUATION IN CERTAINTY CONDITIONS Financial laws in certainty conditions. The exponential law. Annuities and mortgages. Internal rate of return on a financial transaction. Theory of financial equivalence laws.
2.2 FINANCIAL OPERATIONS IN THE MARKET. Value function and market price. The term structure. Duration indices and variability indices. Arbitrage valuations of floating rate notes. Interest Rate Swap. Term structure measurement. Term structure evolution. Introduction to financial options. Basic elements on equity options. Basic elements on traditional life insurance contracts.

David G. Luenberger
Investment Science
Oxford University Press (any edition)

Annamaria Olivieri, Ermanno Pitacco
Introduction to Insurance Mathematics
Springer, 2011

1. PRELIMINARY CONCEPTS Money, time and risks. Present and future value, principal and interest. Contracts, exchange, prices. The risks.

2. FOUNDATIONS OF FINANCIAL CONTRACTS VALUATION

2.1 VALUATION IN CERTAINTY CONDITIONS Financial laws under certainty conditions. The exponential law. Annuities and mortgages. Internal rate of return of a financial transaction. Theory of financial laws.

2.2 FINANCIAL OPERATIONS IN THE MARKET. Value function and market price. The term structure. Duration indices and variability indices. Arbitrage valuation of floating rate notes. Interest Rate Swap. Term structure measurement. Term structure evolution. Introduction to financial options. Basic elements on equity options. Basic elements on traditional life insurance contracts.

David G. Luenberger
Investment Science
Oxford University Press (any edition)

Annamaria Olivieri, Ermanno Pitacco
Introduction to Insurance Mathematics
Springer, 2011

Debt securities
Equity securities
Derivatives
Portfolio theory
Investment management and performance evaluation

Bodie Z., Kane A., Marcus A. J. Essentials of investments, 10th Edition, Mc-Graw Hill (chapters 1,2,3,4,5,6,7,8,10,11,13,15,17,18)

Bond Portfolios. Stock Portfolios. Real Estate Investment. Derivatives.

CASTELLANI, G., DE FELICE, M., MORICONI, F., MANUALE DI FINANZA. TEORIA DEL PORTAFOGLIO E DEL MERCATO AZIONARIO, IL MULINO, 2005
CASTELLANI, G., DE FELICE, M., MORICONI, F., MANUALE DI FINANZA. MODELLI STOCASTICI E CONTRATTI DERIVATI, IL MULINO, 2005

the class analyzes the following matters: entrepreneur's general rules; individual and collective entrepreneur; the company; partnership and corporation; cooperative societies; company modifications; auxiliary entrepreneur; the farm; debt securities general principles and promissory note; bankruptcy law general principles.

AA.VV., Manuale di diritto commerciale ideato da V. Buonocore, Torino, Giappichelli, last edition

The course will cover the following topics:
1. The entrepreneur (of any kind).
2. The rules set forth for the commercial enterprises.
2. Companies and other business organizations.
4. The joint-stock company and the limited partnership by shares.
5. Transformation, merger and spin-off.
6. The co-operative companies, the consortia and the joint-ventures.
7. Bankrupcy (general principles).

V. Buonocore (a cura di), Manuale di diritto commerciale, Torino, Giappichelli, ultima edizione:
parte I, cap. I e cap. II
parte I, cap. IV e cap. V;
parte I, cap. VIII;
parte II, tutta;
parte V, sez. I e sez. II, parag. 1 e parag. 2
parte VI, sez. I.

Si consiglia lo studio della materia con l’ausilio di un Codice civile aggiornato, completo di leggi collegate.

The purpose of the course is to provide exhaustive knowledge of financial intermediaries, markets and the supervisory agency and, particularly, the following matters: financial markets laws; solicitation to the public; services and investment firms; institutional investors; company listed shares rules; controls on the securities market.

- R. Costi, Il mercato mobiliare, Torino, Giappichelli, last edition

Propositional logic. Propositions. Decidable propositions. Logical operations between propositions. Logical implication. Necessity, sufficiency and necessity and sufficiency. Truth tables. Theorem. Methods for proving a theorem. Sets. Operations between sets. Numerical sets:
natural numbers, relative numbers and rational numbers. Infimum and supremum of a numerical set. Irrationality of square root of 2 (with proof). Dedekind's axiom. The real numbers set. Real numbers and their representation on the straight line. Limited and non-limited sets. Maximum and minimum of a numerical set. Intervals and boundary of a point. Elements of line topology: isolated, boundary, internal and accumulation points. Open sets. Closed sets. A set is closed if and only if it contains all its accumulation points.
2) Sums
Definition of summation. Sum of the first natural n (with proof). Sum of the first n terms of a geometric progression (with proof). Summation properties.
3) Real functions of real variable
Real functions of real variable. The Cartesian plane and the graph of a function. Injective and surjective functions. Invertible functions. Even and odd functions. Increasing and decreasing functions. Link between monotony and injectivity. Inverse function. Inverse function graph. Elementary functions. Transformations of elementary functions. Compound function. Multi-law defined functions. Domain of a function.
4) Sequences and numerical series
Converging, diverging and indeterminate sequences. Limits of sequences. Definition of numerical series. Necessary condition for convergence
of a series (with proof). The character of the geometric series (with proof). Mengoli series and its value (with proof).
5) Limits of real functions of real variable
Definition of limits. Right-hand limit and left-hand limit. Vertical and horizontal asymptote. Oblique asymptote. Theorem on uniqueness of limit. (with proof). Theorems on sign permanence (with proof). Rational operations on limits. Indeterminate forms. Notable limits.
6) Infinites and infinitesimals
Definition of infinitesimal and infinite. Comparison between infinitesimal and infinite. Order of infinitesimal and infinite. Cancellation theorems (with proof). Order propagation.
7) Continuity
Definition of continuity in a point. Continuity in a set. Classification of discontinuity points. Continuity of elementary functions. Continuity
of the compound function. Continuity of functions defined by several laws. Theorem of zeros for continuous functions. Weierstrass's theorem. Darboux's theorem (with proof).
8) Differential calculus
Difference quotient. Derivative of a function in a point and its geometric meaning. Derivability implies continuity (with proof). Points of non-derivability.
Derivative function and derivatives of subsequent order. Derivative of elementary functions. The rules of derivation. Derivative of compound functions. De L’Hopital's theorem and its application to indeterminate forms. Taylor polynomial of order 1 and order 2 (with proof). The factorial of n. Taylor polynomial
of order n. Mc Laurin polynomial. Differential and its geometric meaning. First-order error theorem (with proof). Local maxima and minima. Fermat's theorem (with proof). Rolle's theorem (with proof). Lagrange's theorem (with proof). Corollaries to Lagrange's theorem (with proof). Relationship between the sign of the first derivative and the increasing / decreasing functions in an interval (with proof). Concavity and convexity in a point. Relationship between the sign of the second derivative and the convexity / concavity of a function in an interval (with proof). Flex points. Global concavity and convexity conditions.
9) Integral calculus
Primitive of a function. Indefinite integral. Properties of primitives (with proof). Property of the indefinite integral. Immediate indefinite integrals. Integration by parts (with proof). Area subtended by a curve. Superior and inferior integral sum. Definition of definited Riemann integral. Property
of the definite integral. Integral function. The integral mean value theorem (with proof). Torricelli-Barrow's theorem (with proof). Corollary to Torricelli-Barrow's theorem (with proof).
10) Linear algebra
Vectors and their geometric representation. Product of a vector for a scalar. Vectors addition. The vector space Rn: Linear combination of
vectors. Linearly dependent and independent vectors. Matrices. Matrix addition. Matrix multiplication. Determinant of a matrix. Matrix
inverse. Uniqueness of the inverse matrix (with proof). Necessary condition for the existence of the inverse matrix (with proof). Sufficient condition for the existence of the inverse matrix. Transposed matrix. Rank of a matrix. Linear equation systems. Cramer's theorem. Rouché-Capelli theorem. Homogeneous systems. Parametric systems

Mathematics for economists Carl P. Simon, Lawrence Blume- W.W. Norton and Company, Inc.
Only:Chapter 2, Chapter 3, Chapter 4, Chapter 5, Chapter 6, Chapter 7, Appendix 4 .

Functions of One Variable. Properties of Functions. Differentiation. Derivatives in Use. Single-Variable Optimization. Integration. Matrix and Vector Algebra. Determinants and Inverse Matrices. Systems of Linear Equations.

Mathematics for economists Carl P. Simon, Lawrence Blume- W.W. Norton and Company, Inc.
Only: Chapter 2, Chapter 3, Chapter 4, Chapter 5, Chapter 6, Chapter 7, Appendix 4.

or

Essential Mathematics for Economic Analysis
Knut Sydsæter, Peter Hammond, Arne Strøm
Only : Chapter1, Chapter 2, Chapter 3, Chapter 4, Chapter 5, Chapter 6, Chapter 7, Chapter 8, Chapter 9, Chapter 15, Chapter 16.

Logica proposizionale ed insiemistica: Proposizioni, operazioni con le proposizioni, insiemi, operazioni con gli insiemi ed applicazioni.
Insiemi numerici: Numeri interi, relativi, razionali, reali; insiemi numerici limitati; intervalli, intorni, punti di accumulazione in R.
Sommatoria e produttoria Somme particolari e proprietà.
Cenni alle successioni e serie numeriche
Funzioni reali di variabile reale: Funzioni iniettive, suriettive, pari e dispari, funzioni elementari, funzioni composte, funzioni invertibili, grafici deducibili da quelli noti; limiti, teoremi di unicità del limite, teoremi della permanenza del segno, teorema del confronto; continuità, Teorema degli zeri, teorema di Weierstrass e di Darboux; infinitesimi, infiniti, ordine, teoremi di cancellazione.
Calcolo differenziale: Rapporto incrementale, derivata, teorema su derivabilità e continuità, regole di derivazione, derivazione funzioni composte e funzioni inverse, differenziale, derivate di ordine superiore, approssimazione con polinomi di Taylor e di Mc Laurin.
Studio di funzioni: Massimi e minimi relativi, teorema di Fermat, teorema di Rolle, teorema di Lagrange e corollari, teorema di De L’Hospital, funzioni concave e convesse.
Calcolo integrale: Funzioni primitive e integrale indefinito, integrazione per parti e per sostituzione, integrale definito: proprietà, teorema della media, teorema di Torricelli Barrow e corollario.
Algebra lineare: Vettori, spazi vettoriali, vettori linearmente dipendenti e non, basi, matrici, operazioni con le matrici, determinante, rango, matrice inversa, sistemi di equazioni lineari, teorema di Cramer e di Rouchè-Capelli, sistemi parametrici.

teaching material on the teacher's website

1. The Economic system. Definitions and measurement of the main macroeconomic aggregates
2. Macroeconomic equilibrium and the Keynesian theory of income and employment
3.The public sector
4. The open economy: balance of payments, exchange rate, external constraint
5. Money and financial activities. The Central Bank and the banking sector, Demand and supply of money, interest rate determination.
6. Aggregate investment and the rate of interest. Controversial aspects.
7. The IS-LM model. Economic policy in the IS-LM model in a closed economy. Effects of changes in nominal wages
8. The IS-LM model for the open economy, exchange rate regimes and the effects of economic policy
9.The AD-AS model and its implications for the theory of output and employment
10. Inflation and unemployment some elements towards an interpretation

C. De Vincenti, MACROECONOMIA - ELEMENTI DI BASE, editore Carocci, 2003 (except parr 9.5 e 9.6 and chapt. 10) + macroeconomics hand-outs by prof. Antonella Stirati available at the library

1. National accounts
2. The neoclassical model
3. Aggregate demand and income multipliers
4. Money and interest
5. The IS-LM model
6. The AD-AS model
7. The Phillips curve
8. The new-Keynesian models

- R. Dornbusch, S. Fischer, R. Startz, G. Canullo, P. Pettenati, Macroeconomia, McGraw Hill, Milano, 2014
- J.R. Hicks, “Il processo produttivo, il lavoro e il capitale”, in M. Pivetti (a cura di), Letture di Economia Politica, LED, Milano
- O. Castellino, Introduzione alla contabilità nazionale, Giappichelli editore, Torino, 1991

GENERAL CHARACTERISTICS OF CORPORATE ORGANISATIONS
1) The firm as an economic entity: General characteristics of the firm. Corporate entities: legal and economic identity. Types of firms.
2) The firm in its broader economic perspective: The enterprise as an individual economic undertaking: private enterprises and state-owned enterprises. The company’s purpose. Financial and economic stability as a prerequisite of a company’s existence. Economic stability and different types of economic operability. Payment for operating and production inputs used by enterprises. Corporate risk and who bears it. Income and company profitability.
3) The organizational structure as part of the decision-making process; management control in modern corporations: Evolution of the corporate organizational models shaping the decision-making structure. Control exercised in corporations by different stakeholders. The planning and control function in modern corporations.
4) Corporate funding: Capital requirements, and how much is needed. Corporate funding: equity and debt capital in their various forms. Funding through cash generation. Capital structure of the company; choice of cost-efficient financing options; the dynamic relationship between equity and debt capital. Short-term capital and long-term financing.
MONITORING AND MEASUREMENT OF COMPANY PERFORMANCE
1) The accounting logic: Rationale. Nature of data to be examined. Methodologies. The corporate record-keeping system in a broad sense.
2) Accounting practice: The theory of double entry bookkeeping. Double entry bookkeeping applied to manufacturing companies. Bookkeeping entries for general business transactions, initiating joint-stock companies, special transactions (wages and salaries, financial transactions etc…), adjusting entries and year-end closing entries. Practical exercises in applying accounting record-keeping systems and measurement principles to business transactions.

Paoloni M., Paoloni P. (a cura di), Introduzione ed orientamento allo studio delle aziende, Giappichelli, 2009
Paoloni M., Celli, M. (a cura di), Introduzione alla contabilità generale, CEDAM, 2012

Alternatively:

David Boddy, Management: an Introduction, Financial Times Prentice Hall, 2011
Leslie K. Breitner and Robert N. Anthony, Essentials of Accounting, Pearson, 2013

Program
1) Organisations and entities.
General characters: Aims of organisations. "Legal entity" and "economic entity." Various types of organisations
2) Broader characters of an Organisation.
Private and public companies. Equilibrium conditions. Possible ways to remunerate resources used by the organisation. The business risk. Income and profit.
3) Funding
The need for capital and its determination. Corporate finance, "equity" and "debt capital"; corporate self-financing; the dynamic relationship between "equity" and "debt capital". A corporate' s financial structure.
4) Accounting as a tool for information
Logical moments. The nature of facts under investigation. Methods.
5) The accounting recognition
Theory of the double-entry accounting. Systematic and comprehensive recording of financial transactions pertaining to a business.

Part I: The Economy of the Company: Business Economics and Accounting. The study of the conditions of existence of the corporate body; the personal component and the operating means of the company. Object of the company. Corporate subjects: "legal entities" and "economic subject". Organization. The organizational structures. Various types of company. The institution of the company, its location, its size.
The supply company: general characteristics and management schemes. Production companies for the exchange of goods and services: companies. The aims of the company. The economic balance as a fundamental condition of the life of the company. Economic balance and economy. The possible ways of remunerating the productive factors used by the company. The business risk and the subjects on which it weighs. Business efficiency. The process of forming the company's income. The capital requirement and its determination. Company financing: equity and credit capital in their various forms; corporate self-financing; the choice of convenient forms of financing; the dynamic relationship between equity and credit capital. The financial structure of the company.
The process of dimensional growth of companies: the main characteristics, nature, structure, internal exchange and production operations in groups of companies.
Part II: Accounting elements: Double-entry theory and method. The double-entry method applied to the income system in production companies. The accounting records of the incorporation operations and of the main operations. The accounts for closing and reopening the accounts.

Zanda, Fondamenti di Economia Aziendale, Giappichelli, ultima edizione
oppure
Zanda, Lineamenti di Economia Aziendale, Kappa, ultima edizione

L. MUSERRA, T.ONESTI, Esercitazioni di economia aziendale, Giappichelli, 2013 (ebook, available on the website giappichelli.it).
Please refer to the onestieconomiaaziendale.wordpress.com course page for course material.

First part: BUSINESS ADMINISTRATION
1) Business Economics and Accounting. General company characters. The firm as an economic entity: General characteristics of the firm. Corporate entities: legal and economic identities. Types of firms.
2) The enterprise as an individual economic undertaking: private enterprises and state-owned enterprises. The company’s purpose. Financial and economic stability as a prerequisite of a company’s existence. Economic stability and different types of economic operability. Payment for operating and production inputs used by enterprises. Corporate risk. Income and profitability. Social responsibility and sustainability. The process of dimensional growth of companies: the main characteristics, nature, structure, internal exchange and production operations in groups of companies.
3) Assessment of financial needs. Corporate funding: equity and debt capital in their various forms. Funding through cash generation. The capital structure of the company; choice of cost-efficient financing options; the dynamic relationship between equity and debt capital. Short-term capital and long-term financing.

Second part: ACCRUAL ACCOUNTING
Double-entry theory and method. The double-entry method applied to the income system in production companies. The accounting records of the incorporation operations and of the main operations. The accounts for closing and reopening the accounts.

Part I
ZANDA, Lineamenti di Economia Aziendale, Edizioni Kappa, Roma, 2006;
Part II
T.ONESTI et al. (a cura di), Esercitazioni di economia aziendale, Giappichelli, Torino, 2013 (ebook).

During the lessons, the teacher will provide additional support material through the website of the chair: https://onestieconomiaaziendale.wordpress.com/

GENERAL CHARACTERISTICS OF CORPORATE ORGANISATIONS
1) The firm as an economic entity: General characteristics of the firm. Corporate entities: legal and economic identity. Types of firms.
2) The firm in its broader economic perspective: The enterprise as an individual economic undertaking: private enterprises and state-owned enterprises. The company’s purpose. Financial and economic stability as a prerequisite of a company’s existence. Economic stability and different types of economic operability. Payment for operating and production inputs used by enterprises. Corporate risk and who bears it. Income and company profitability.
3) The organizational structure as part of the decision-making process; management control in modern corporations: Evolution of the corporate organizational models shaping the decision-making structure. Control exercised in corporations by different stakeholders. The planning and control function in modern corporations.
4) Corporate funding: Capital requirements, and how much is needed. Corporate funding: equity and debt capital in their various forms. Funding through cash generation. Capital structure of the company; choice of cost-efficient financing options; the dynamic relationship between equity and debt capital. Short-term capital and long-term financing.
MONITORING AND MEASUREMENT OF COMPANY PERFORMANCE
1) The accounting logic: Rationale. Nature of data to be examined. Methodologies. The corporate record-keeping system in a broad sense.
2) Accounting practice: The theory of double entry bookkeeping. Double entry bookkeeping applied to manufacturing companies. Bookkeeping entries for general business transactions, initiating joint-stock companies, special transactions (wages and salaries, financial transactions etc…), adjusting entries and year-end closing entries. Practical exercises in applying accounting record-keeping systems and measurement principles to business transactions.

Paoloni M., Paoloni P. (a cura di), Introduzione ed orientamento allo studio delle aziende, Giappichelli, 2009
Paoloni M., Celli, M. (a cura di), Introduzione alla contabilità generale, CEDAM, 2012

Structure of the computer. Hardware and Software. General diagram of a data processing system. Type of computers. The use of the computer memories. The processor. The multiprocessor architectures. Input / Output: Ports for input / output of the computer. The units of input. The units of output. Operating systems. Characteristics of the operating systems. The multitasking operating systems. The Windows operating system. The graphical interface. Computer networks.
The communication between computers. Protocols and interfaces. The local networks. The transmission media. The types of network. The network technologies. The wide area networks. Client-server architecture and peer-to-peer networks. Internetwork. Internet. The services of the Internet.
. Word processing and presentation tools. Spreadsheets Use of data bases

ECDL Syllabus 5.0
Lectures notes provided by the teacher

The program includes:
Introduction to law
Forms of State and forms of Government
Beyond the State: the EU
The sources of law
Parliament and its functions
Institutes of direct democracy
The abrogative referendum.
The Government and its functions
The President of the Republic and his attributions
Principles on the subject of Administration
The other organs
Local ordering
Rights and freedom
The economic Constitution
Judicial power
Constitutional Justice

It is recommended the study of one of the following books:
R. BIN – G. PITRUZZELLA, Diritto pubblico, Torino, Giappichelli, latest edition
P. CARETTI – U. DE SIERVO, Istituzioni di Diritto pubblico, Torino, Giappichelli, latest edition
F. Modugno (a cura di), Diritto Pubblico, Torino, Giappichelli, latest edition
C. ROSSANO, Manuale di Diritto pubblico, Napoli, Jovene, latest edition

1. Production and prices: general elements
The production process. Production methods and their representation. The social production process. Economy of mere subsistence. Economy producung surplus. Basic and non-basic goods.

2. Fundamentals of the classical theory of distribution and relative prices
The real wage and other circumstances taken as given in the 'core' of the theory. The concept of social surplus. Profits and general profit rate. Distinction and relationship between "normal" and "market" prices. Price equations: simultaneous determination of profit rate and relative prices. Importance and limits of the solutions to the problem attempted by Ricardo and Marx. The inverse wage-profit relationship. The theory of rent.

3. Fundamentals of the marginalist theory of distribution and relative prices
The data of the theory. Consumer theory. Functions of consumption good demand. Production theory. Direct and indirect substitutability as analytical bases for factor demand functions. Determination of distribution and relative prices in terms of supply and demand equilibria. Comparison with the classical theory of distribution. Implications of general economic equilibrium: full employment of available resources; Pareto optimality; efficiency in exchange; efficiency in production; efficiency in the combination of outputs. The notion of capital as a single productive factor and the difficulties that derive from it (mention).

4. Analysis of the single industry and market forms
The analysis of "partial" equilibrium. Short and long term cost curves of the individual enterprise. Equilibrium of enterprise and industry under competitive conditions, in the short and long period. Quantity produced and price, in the short and long period, in monopoly and monopolistic competition. The oligopoly: Cournot model.

■ "Elementi di teoria della produzione", Appunti per il corso di Microeconomia - Dispensa n.1
■ "La teoria classica della distribuzione e dei prezzi relativi", Appunti per il corso di Microeconomia - Dispensa n.2
■ "La teoria marginalista della distribuzione e dei prezzi relativi", Appunti per il corso di Microeconomia - Dispensa n.3

With regard to the other text adopted, the chapters and paragraphs included in the programme are set out below, with reference to the latest edition (2014).

Robert H. Frank e Edward Cartwright, Microeconomia
Milano: McGraw-Hill, VI edizione, 2014
Capitoli e paragrafi in programma:

Capitoli e paragrafi in programma:

Capitolo 3, La scelta razionale del consumatore, p. 51
{paragrafi 3.1, 3.2, 3.3, 3.4 e Appendice 3}

Capitolo 4, Domanda individuale e domanda di mercato, p. 91
{paragrafi: 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7}

Capitolo 5, Applicazioni delle teorie della scelta razionale e della domanda, p. 135
{limitatamente al paragrafo 5.7}

Capitolo 9, La produzione, p. 263
{intero capitolo, inclusa l'Appendice 9}

Capitolo 10, I costi, p. 293
{intero capitolo, inclusa l'Appendice 10}

Capitolo 11, La concorrenza perfetta, p. 329
{paragrafi: 11.1, 11.2, 11.3, 11.4, 11.5, 11.6, 11.7, 11.8?, 11.9, 11.12, 11.13}

Capitolo 12, Il monopolio, p. 371
{paragrafi: 12.1, 12.2, 12.3, 12.4, 12.5, 12.6, 12.8}

Capitolo 13, Concorrenza imperfetta: un approccio basato sulla teoria dei giochi, p. 421
{paragrafi: 13.1, 13.2, 13.4 limitatamente al sotto-paragrafo 13.4.1}

Capitolo 15, L'equilibrio generale e l'efficienza dei mercati, p. 515
{paragrafi: 15.1, 15.2, 15.3, 15.4, 15.6, 15.7}

Elements of the theory of production
- inputs, outputs and production methods
- the subsistence economy
- the economy with a surplus
The surplus approach to commodity value and income distribution
- the relevance of social and institutional elements to income distribution
- the explanation of the real wage rate
- the "core" of the classical approach
- the link between profit rate and relative prices
- the price equations
- the classical theory of rent
The theory of consumer choice
- budget set and budget constraint
- preferences
- consumer choice
- consumer-good demand curves
The theory of firm choice
- the function of production
- profit maximisation
- isoquants and isocosts
- the output expansion path and long-term cost curves
Production factors and the marginalist explanation of income distribution
- marginal and average productivity of factors
- the demand curves of factors of production
- equilibrium between supply and demand for factors of production
Market forms
- perfect competition
- monopoly
- Cournot oligopoly
- Stackelberg oligopoly
Introduction to the welfare economics
- allocations and Edgeworth box
- Pareto improvements and Pareto optima
- first theorem of welfare economics

i) "Elementi di teoria della produzione", Appunti per il corso di Microeconomia - Dispensa n. 1 (teaching material written by R. Ciccone, S.M. Fratini e A. Trezzini).
ii) "La teoria classica della distribuzione e dei prezzi relativi", Appunti per il corso di Microeconomia - Dispensa n. 2 (teaching material written by R. Ciccone, S.M. Fratini e A. Trezzini).
iii) "La teoria marginalista della distribuzione e dei prezzi relativi", Appunti per il corso di Microeconomia - Dispensa n. 3 (teaching material written by R. Ciccone, S.M. Fratini e A. Trezzini).
iv) R.H. Frank, Microeconomia. McGraw-Hill Libri Italia, Milano.
v) "Glossario ed Esercizi Svolti di Microeconomia" (teaching material written by S.M. Fratini e D. Pignalosa).

An introduction to the fundamental ideas of statistics. Topics include descriptive statistics, probability, confidence intervals, and testing hypotheses, as well as the basics of Chi-square tests, regression and correlation.

1) L. PIERACCINI, A. NACCARATO. LEZIONI DI STATISTICA DESCRITTIVA, GIAPPICHELLI, 2003.
2) L. PIERACCINI. FONDAMENTI DI INFERENZA STATISTICA. II EDIZ. GIAPPICHELLI, 2007.

OR ONE AMONG:
- S.M. ROSS. INTRODUZIONE ALLA STATISTICA, APOGEO, 2008.
- D. PICCOLO. STATISTICA PER LE DECISIONI, IL MULINO, BOLOGNA, EDIZIONE 2010.
- D.S. MOORE. STATISTICA DI BASE, APOGEO, 2005.

This graduate level course covers the following topics:
An overview of statistics
Data description: scales of measurement, how to describe data graphically for categorical data (pie chart, bar chart) and graphs for quantitative variables (histogram, pie chart)
How to describe data by summary statistics: measures of central tendency, variability and skewness.
How to create a box plot
How probability and probability distributions are involved in statistics
How binomial distributions are involved in statistics
The role that normal distributions play in statistics
Simple random sampling and sampling distribution of sample mean, central limit theorem, normal approximation to the binomial
Differentiation between a population and a sample, how to use a statistic to estimate a population parameter, confidence interval and its interpretation, inferences of population mean and proportion
Confidence interval for population mean, Sample size needed for estimating the population mean with a specified confidence level and specified width of the interval
Hypothesis testing: in terms of how to set up Null and Alternative hypotheses, understanding Type I and Type II errors, performing a statistical test for the population mean
p-value, how to compute it and how to use it
Inferences about μ with σ unknown: the t-distribution and the assumptions required to check in order to use it
How to compare the mean of two populations for independent samples: using pooled variances t-test versus separate variances t-test
How to compare the mean of two populations for paired data
How to compare two population proportions
Using contingency table and the Chi-square test of independence
Understanding concepts related to linear regression models including, least squares method, correlation, inferences about the parameters in the linear regression model

The course the course is taught in Italian so textbooks are in Italian:
- G. Cicchitelli, Statsitica: Principi e Metodi, Pearson Education, 3/Eds
- Sebastiani M. R. (2015) “Esercitazioni di statistica”. Esculapio Editore, 3° edizione.
For English speaking students a textbook is:
Introductory Statistics for Business and Economics by Thomas H. Wonnacott and Ronald J. Wonnacott
John Wiley & Sons Inc; International 2 Revised ed
Notes and handout (in Italian) are available at the web page of the course.

The course is composed by modules. The first two modules include the following legal categories: sources of law; subjective juridical situations; physical and juridical persons; legal assets, real rights in re propria and in re aliena; fact, act and trade; obligations; contracts in general. The third part focuses on the forms of transfer of familial property, with particular emphasis on the discipline of family law and mortis causa succession.

- M. NUZZO, Introduzione alle scienze giuridiche. Norme - Soggetti - Attività, 3ª ed., Giappichelli, 2009
- F. MACIOCE, L’obbligazione e il contratto, 3ª ed., Giappichelli, 2013
- L. ROSSI CARLEO, E. BELLISARIO, V. CUFFARO, Famiglia e successioni. Le forme di circolazione della ricchezza familiare, 4ª ed., Giappichelli, 2016 (excluding sec. from 6 to 12 Chap. III; Chap. VIII and Chap. X)

The course is composed by modules. The first two modules include the following legal categories: sources of law; subjective juridical situations; physical and juridical persons; legal assets, real rights in re propria and in re aliena; fact, act and trade; obligations; contracts in general. The third part focuses on the forms of transfer of familial property, with particular emphasis on the discipline of family law and mortis causa succession.

- M. NUZZO, Introduzione alle scienze giuridiche. Norme - Soggetti - Attività, 3ª ed., Giappichelli, 2009
- F. MACIOCE, L’obbligazione e il contratto, 3ª ed., Giappichelli, 2013
- L. ROSSI CARLEO, E. BELLISARIO, V. CUFFARO, Famiglia e successioni. Le forme di circolazione della ricchezza familiare, 4ª ed., Giappichelli, 2016 (excluding sec. from 6 to 12 Chap. III; Chap. VIII and Chap. X)

The course is structured in three parts:
1) The company and the strategy
2) The functions of company management
3) Operational management

Specifically, the course deals with:
Firms and their roles
Firm and their environment
Stakeholders theory
Theory of the firm
Strategic management of the company
The competitive analysis
Evolution of sectors and competitive structures
The Resource Based View
The competitive advantage
The growth of the company
The roles of corporate management: management, programming, control, human resources, information systems, knowledge management
Operational management: marketing, production, finance, logistics, innovation, administration

Teaching material is as follows:
• textbook: Sciarelli (2014) La gestione dell’impresa. Tra teoria e pratica aziendale, CEDAM
• Slides
• Notes
• Any video used and indicated
• Any case and exercise
• Guest Speeches
• Additional material shared by students for supplementary activities

Students interested in better examining the topics are kindly invited to discuss with the instructor.

1. PRELIMINARY CONCEPTS Money, time and risks. Present and future value, principal and interest. Contracts, exchange, prices. The risks.

2. FOUNDATIONS OF FINANCIAL CONTRACTS EVALUATION
2.1 EVALUATION IN CERTAINTY CONDITIONS Financial laws in certainty conditions. The exponential law. Annuities and mortgages. Internal rate of return on a financial transaction. Theory of financial equivalence laws.
2.2 FINANCIAL OPERATIONS IN THE MARKET. Value function and market price. The term structure. Duration indices and variability indices. Arbitrage valuations of floating rate notes. Interest Rate Swap. Term structure measurement. Term structure evolution. Introduction to financial options. Basic elements on equity options. Basic elements on traditional life insurance contracts.

David G. Luenberger
Investment Science
Oxford University Press (any edition)

Annamaria Olivieri, Ermanno Pitacco
Introduction to Insurance Mathematics
Springer, 2011

1. PRELIMINARY CONCEPTS Money, time and risks. Present and future value, principal and interest. Contracts, exchange, prices. The risks.

2. FOUNDATIONS OF FINANCIAL CONTRACTS VALUATION

2.1 VALUATION IN CERTAINTY CONDITIONS Financial laws under certainty conditions. The exponential law. Annuities and mortgages. Internal rate of return of a financial transaction. Theory of financial laws.

2.2 FINANCIAL OPERATIONS IN THE MARKET. Value function and market price. The term structure. Duration indices and variability indices. Arbitrage valuation of floating rate notes. Interest Rate Swap. Term structure measurement. Term structure evolution. Introduction to financial options. Basic elements on equity options. Basic elements on traditional life insurance contracts.

David G. Luenberger
Investment Science
Oxford University Press (any edition)

Annamaria Olivieri, Ermanno Pitacco
Introduction to Insurance Mathematics
Springer, 2011

Module I – Introduction
1. the nature of public sector accounting;
2. public sector accounting;
3. economy, efficiency and effectiveness.
Module II – Management accounting
1. planning and control;
2. the role of management accounting;
3. management accounting and planning;
4. management accounting and control;
5. the annual revenue budget;
6. line-item budgeting and programme budgeting;
7. budget preparation.
Module III – Financial accounting
1.accounting theory;
2. accounting theory and public sector organisations;
3. stewardship and accountability;
4. objectives in public sector accounting theory;
5. the reporting unit;
6. accounting policy-making;
7. different accrual accounting policies;
8. the major techniques of financial accounting;
9. budgetary accounting;
10. cash accounting;
11. accruals accounting;
12. annual reports and accounts;
13. accounting uniformity;
14. performance measurement.

R. Jones, N. Pendlebury – Public sector accounting. Pearson Education, 2000. It could be excluded: from pag. 48 to 57; from pag. 69 to 124; from pag. 185 to 207; from pag. 233 to 245.

the class analyzes the following matters: entrepreneur's general rules; individual and collective entrepreneur; the company; partnership and corporation; cooperative societies; company modifications; auxiliary entrepreneur; the farm; debt securities general principles and promissory note; bankruptcy law general principles.

AA.VV., Manuale di diritto commerciale ideato da V. Buonocore, Torino, Giappichelli, last edition

The course will cover the following topics:
1. The entrepreneur (of any kind).
2. The rules set forth for the commercial enterprises.
2. Companies and other business organizations.
4. The joint-stock company and the limited partnership by shares.
5. Transformation, merger and spin-off.
6. The co-operative companies, the consortia and the joint-ventures.
7. Bankrupcy (general principles).

V. Buonocore (a cura di), Manuale di diritto commerciale, Torino, Giappichelli, ultima edizione:
parte I, cap. I e cap. II
parte I, cap. IV e cap. V;
parte I, cap. VIII;
parte II, tutta;
parte V, sez. I e sez. II, parag. 1 e parag. 2
parte VI, sez. I.

Si consiglia lo studio della materia con l’ausilio di un Codice civile aggiornato, completo di leggi collegate.

Propositional logic. Propositions. Decidable propositions. Logical operations between propositions. Logical implication. Necessity, sufficiency and necessity and sufficiency. Truth tables. Theorem. Methods for proving a theorem. Sets. Operations between sets. Numerical sets:
natural numbers, relative numbers and rational numbers. Infimum and supremum of a numerical set. Irrationality of square root of 2 (with proof). Dedekind's axiom. The real numbers set. Real numbers and their representation on the straight line. Limited and non-limited sets. Maximum and minimum of a numerical set. Intervals and boundary of a point. Elements of line topology: isolated, boundary, internal and accumulation points. Open sets. Closed sets. A set is closed if and only if it contains all its accumulation points.
2) Sums
Definition of summation. Sum of the first natural n (with proof). Sum of the first n terms of a geometric progression (with proof). Summation properties.
3) Real functions of real variable
Real functions of real variable. The Cartesian plane and the graph of a function. Injective and surjective functions. Invertible functions. Even and odd functions. Increasing and decreasing functions. Link between monotony and injectivity. Inverse function. Inverse function graph. Elementary functions. Transformations of elementary functions. Compound function. Multi-law defined functions. Domain of a function.
4) Sequences and numerical series
Converging, diverging and indeterminate sequences. Limits of sequences. Definition of numerical series. Necessary condition for convergence
of a series (with proof). The character of the geometric series (with proof). Mengoli series and its value (with proof).
5) Limits of real functions of real variable
Definition of limits. Right-hand limit and left-hand limit. Vertical and horizontal asymptote. Oblique asymptote. Theorem on uniqueness of limit. (with proof). Theorems on sign permanence (with proof). Rational operations on limits. Indeterminate forms. Notable limits.
6) Infinites and infinitesimals
Definition of infinitesimal and infinite. Comparison between infinitesimal and infinite. Order of infinitesimal and infinite. Cancellation theorems (with proof). Order propagation.
7) Continuity
Definition of continuity in a point. Continuity in a set. Classification of discontinuity points. Continuity of elementary functions. Continuity
of the compound function. Continuity of functions defined by several laws. Theorem of zeros for continuous functions. Weierstrass's theorem. Darboux's theorem (with proof).
8) Differential calculus
Difference quotient. Derivative of a function in a point and its geometric meaning. Derivability implies continuity (with proof). Points of non-derivability.
Derivative function and derivatives of subsequent order. Derivative of elementary functions. The rules of derivation. Derivative of compound functions. De L’Hopital's theorem and its application to indeterminate forms. Taylor polynomial of order 1 and order 2 (with proof). The factorial of n. Taylor polynomial
of order n. Mc Laurin polynomial. Differential and its geometric meaning. First-order error theorem (with proof). Local maxima and minima. Fermat's theorem (with proof). Rolle's theorem (with proof). Lagrange's theorem (with proof). Corollaries to Lagrange's theorem (with proof). Relationship between the sign of the first derivative and the increasing / decreasing functions in an interval (with proof). Concavity and convexity in a point. Relationship between the sign of the second derivative and the convexity / concavity of a function in an interval (with proof). Flex points. Global concavity and convexity conditions.
9) Integral calculus
Primitive of a function. Indefinite integral. Properties of primitives (with proof). Property of the indefinite integral. Immediate indefinite integrals. Integration by parts (with proof). Area subtended by a curve. Superior and inferior integral sum. Definition of definited Riemann integral. Property
of the definite integral. Integral function. The integral mean value theorem (with proof). Torricelli-Barrow's theorem (with proof). Corollary to Torricelli-Barrow's theorem (with proof).
10) Linear algebra
Vectors and their geometric representation. Product of a vector for a scalar. Vectors addition. The vector space Rn: Linear combination of
vectors. Linearly dependent and independent vectors. Matrices. Matrix addition. Matrix multiplication. Determinant of a matrix. Matrix
inverse. Uniqueness of the inverse matrix (with proof). Necessary condition for the existence of the inverse matrix (with proof). Sufficient condition for the existence of the inverse matrix. Transposed matrix. Rank of a matrix. Linear equation systems. Cramer's theorem. Rouché-Capelli theorem. Homogeneous systems. Parametric systems

Mathematics for economists Carl P. Simon, Lawrence Blume- W.W. Norton and Company, Inc.
Only:Chapter 2, Chapter 3, Chapter 4, Chapter 5, Chapter 6, Chapter 7, Appendix 4 .

Functions of One Variable. Properties of Functions. Differentiation. Derivatives in Use. Single-Variable Optimization. Integration. Matrix and Vector Algebra. Determinants and Inverse Matrices. Systems of Linear Equations.

Mathematics for economists Carl P. Simon, Lawrence Blume- W.W. Norton and Company, Inc.
Only: Chapter 2, Chapter 3, Chapter 4, Chapter 5, Chapter 6, Chapter 7, Appendix 4.

or

Essential Mathematics for Economic Analysis
Knut Sydsæter, Peter Hammond, Arne Strøm
Only : Chapter1, Chapter 2, Chapter 3, Chapter 4, Chapter 5, Chapter 6, Chapter 7, Chapter 8, Chapter 9, Chapter 15, Chapter 16.

Logica proposizionale ed insiemistica: Proposizioni, operazioni con le proposizioni, insiemi, operazioni con gli insiemi ed applicazioni.
Insiemi numerici: Numeri interi, relativi, razionali, reali; insiemi numerici limitati; intervalli, intorni, punti di accumulazione in R.
Sommatoria e produttoria Somme particolari e proprietà.
Cenni alle successioni e serie numeriche
Funzioni reali di variabile reale: Funzioni iniettive, suriettive, pari e dispari, funzioni elementari, funzioni composte, funzioni invertibili, grafici deducibili da quelli noti; limiti, teoremi di unicità del limite, teoremi della permanenza del segno, teorema del confronto; continuità, Teorema degli zeri, teorema di Weierstrass e di Darboux; infinitesimi, infiniti, ordine, teoremi di cancellazione.
Calcolo differenziale: Rapporto incrementale, derivata, teorema su derivabilità e continuità, regole di derivazione, derivazione funzioni composte e funzioni inverse, differenziale, derivate di ordine superiore, approssimazione con polinomi di Taylor e di Mc Laurin.
Studio di funzioni: Massimi e minimi relativi, teorema di Fermat, teorema di Rolle, teorema di Lagrange e corollari, teorema di De L’Hospital, funzioni concave e convesse.
Calcolo integrale: Funzioni primitive e integrale indefinito, integrazione per parti e per sostituzione, integrale definito: proprietà, teorema della media, teorema di Torricelli Barrow e corollario.
Algebra lineare: Vettori, spazi vettoriali, vettori linearmente dipendenti e non, basi, matrici, operazioni con le matrici, determinante, rango, matrice inversa, sistemi di equazioni lineari, teorema di Cramer e di Rouchè-Capelli, sistemi parametrici.

teaching material on the teacher's website

1. The Economic system. Definitions and measurement of the main macroeconomic aggregates
2. Macroeconomic equilibrium and the Keynesian theory of income and employment
3.The public sector
4. The open economy: balance of payments, exchange rate, external constraint
5. Money and financial activities. The Central Bank and the banking sector, Demand and supply of money, interest rate determination.
6. Aggregate investment and the rate of interest. Controversial aspects.
7. The IS-LM model. Economic policy in the IS-LM model in a closed economy. Effects of changes in nominal wages
8. The IS-LM model for the open economy, exchange rate regimes and the effects of economic policy
9.The AD-AS model and its implications for the theory of output and employment
10. Inflation and unemployment some elements towards an interpretation

C. De Vincenti, MACROECONOMIA - ELEMENTI DI BASE, editore Carocci, 2003 (except parr 9.5 e 9.6 and chapt. 10) + macroeconomics hand-outs by prof. Antonella Stirati available at the library

1. National accounts
2. The neoclassical model
3. Aggregate demand and income multipliers
4. Money and interest
5. The IS-LM model
6. The AD-AS model
7. The Phillips curve
8. The new-Keynesian models

- R. Dornbusch, S. Fischer, R. Startz, G. Canullo, P. Pettenati, Macroeconomia, McGraw Hill, Milano, 2014
- J.R. Hicks, “Il processo produttivo, il lavoro e il capitale”, in M. Pivetti (a cura di), Letture di Economia Politica, LED, Milano
- O. Castellino, Introduzione alla contabilità nazionale, Giappichelli editore, Torino, 1991

GENERAL CHARACTERISTICS OF CORPORATE ORGANISATIONS
1) The firm as an economic entity: General characteristics of the firm. Corporate entities: legal and economic identity. Types of firms.
2) The firm in its broader economic perspective: The enterprise as an individual economic undertaking: private enterprises and state-owned enterprises. The company’s purpose. Financial and economic stability as a prerequisite of a company’s existence. Economic stability and different types of economic operability. Payment for operating and production inputs used by enterprises. Corporate risk and who bears it. Income and company profitability.
3) The organizational structure as part of the decision-making process; management control in modern corporations: Evolution of the corporate organizational models shaping the decision-making structure. Control exercised in corporations by different stakeholders. The planning and control function in modern corporations.
4) Corporate funding: Capital requirements, and how much is needed. Corporate funding: equity and debt capital in their various forms. Funding through cash generation. Capital structure of the company; choice of cost-efficient financing options; the dynamic relationship between equity and debt capital. Short-term capital and long-term financing.
MONITORING AND MEASUREMENT OF COMPANY PERFORMANCE
1) The accounting logic: Rationale. Nature of data to be examined. Methodologies. The corporate record-keeping system in a broad sense.
2) Accounting practice: The theory of double entry bookkeeping. Double entry bookkeeping applied to manufacturing companies. Bookkeeping entries for general business transactions, initiating joint-stock companies, special transactions (wages and salaries, financial transactions etc…), adjusting entries and year-end closing entries. Practical exercises in applying accounting record-keeping systems and measurement principles to business transactions.

Paoloni M., Paoloni P. (a cura di), Introduzione ed orientamento allo studio delle aziende, Giappichelli, 2009
Paoloni M., Celli, M. (a cura di), Introduzione alla contabilità generale, CEDAM, 2012

Alternatively:

David Boddy, Management: an Introduction, Financial Times Prentice Hall, 2011
Leslie K. Breitner and Robert N. Anthony, Essentials of Accounting, Pearson, 2013

Program
1) Organisations and entities.
General characters: Aims of organisations. "Legal entity" and "economic entity." Various types of organisations
2) Broader characters of an Organisation.
Private and public companies. Equilibrium conditions. Possible ways to remunerate resources used by the organisation. The business risk. Income and profit.
3) Funding
The need for capital and its determination. Corporate finance, "equity" and "debt capital"; corporate self-financing; the dynamic relationship between "equity" and "debt capital". A corporate' s financial structure.
4) Accounting as a tool for information
Logical moments. The nature of facts under investigation. Methods.
5) The accounting recognition
Theory of the double-entry accounting. Systematic and comprehensive recording of financial transactions pertaining to a business.

Part I: The Economy of the Company: Business Economics and Accounting. The study of the conditions of existence of the corporate body; the personal component and the operating means of the company. Object of the company. Corporate subjects: "legal entities" and "economic subject". Organization. The organizational structures. Various types of company. The institution of the company, its location, its size.
The supply company: general characteristics and management schemes. Production companies for the exchange of goods and services: companies. The aims of the company. The economic balance as a fundamental condition of the life of the company. Economic balance and economy. The possible ways of remunerating the productive factors used by the company. The business risk and the subjects on which it weighs. Business efficiency. The process of forming the company's income. The capital requirement and its determination. Company financing: equity and credit capital in their various forms; corporate self-financing; the choice of convenient forms of financing; the dynamic relationship between equity and credit capital. The financial structure of the company.
The process of dimensional growth of companies: the main characteristics, nature, structure, internal exchange and production operations in groups of companies.
Part II: Accounting elements: Double-entry theory and method. The double-entry method applied to the income system in production companies. The accounting records of the incorporation operations and of the main operations. The accounts for closing and reopening the accounts.

Zanda, Fondamenti di Economia Aziendale, Giappichelli, ultima edizione
oppure
Zanda, Lineamenti di Economia Aziendale, Kappa, ultima edizione

L. MUSERRA, T.ONESTI, Esercitazioni di economia aziendale, Giappichelli, 2013 (ebook, available on the website giappichelli.it).
Please refer to the onestieconomiaaziendale.wordpress.com course page for course material.

First part: BUSINESS ADMINISTRATION
1) Business Economics and Accounting. General company characters. The firm as an economic entity: General characteristics of the firm. Corporate entities: legal and economic identities. Types of firms.
2) The enterprise as an individual economic undertaking: private enterprises and state-owned enterprises. The company’s purpose. Financial and economic stability as a prerequisite of a company’s existence. Economic stability and different types of economic operability. Payment for operating and production inputs used by enterprises. Corporate risk. Income and profitability. Social responsibility and sustainability. The process of dimensional growth of companies: the main characteristics, nature, structure, internal exchange and production operations in groups of companies.
3) Assessment of financial needs. Corporate funding: equity and debt capital in their various forms. Funding through cash generation. The capital structure of the company; choice of cost-efficient financing options; the dynamic relationship between equity and debt capital. Short-term capital and long-term financing.

Second part: ACCRUAL ACCOUNTING
Double-entry theory and method. The double-entry method applied to the income system in production companies. The accounting records of the incorporation operations and of the main operations. The accounts for closing and reopening the accounts.

Part I
ZANDA, Lineamenti di Economia Aziendale, Edizioni Kappa, Roma, 2006;
Part II
T.ONESTI et al. (a cura di), Esercitazioni di economia aziendale, Giappichelli, Torino, 2013 (ebook).

During the lessons, the teacher will provide additional support material through the website of the chair: https://onestieconomiaaziendale.wordpress.com/

GENERAL CHARACTERISTICS OF CORPORATE ORGANISATIONS
1) The firm as an economic entity: General characteristics of the firm. Corporate entities: legal and economic identity. Types of firms.
2) The firm in its broader economic perspective: The enterprise as an individual economic undertaking: private enterprises and state-owned enterprises. The company’s purpose. Financial and economic stability as a prerequisite of a company’s existence. Economic stability and different types of economic operability. Payment for operating and production inputs used by enterprises. Corporate risk and who bears it. Income and company profitability.
3) The organizational structure as part of the decision-making process; management control in modern corporations: Evolution of the corporate organizational models shaping the decision-making structure. Control exercised in corporations by different stakeholders. The planning and control function in modern corporations.
4) Corporate funding: Capital requirements, and how much is needed. Corporate funding: equity and debt capital in their various forms. Funding through cash generation. Capital structure of the company; choice of cost-efficient financing options; the dynamic relationship between equity and debt capital. Short-term capital and long-term financing.
MONITORING AND MEASUREMENT OF COMPANY PERFORMANCE
1) The accounting logic: Rationale. Nature of data to be examined. Methodologies. The corporate record-keeping system in a broad sense.
2) Accounting practice: The theory of double entry bookkeeping. Double entry bookkeeping applied to manufacturing companies. Bookkeeping entries for general business transactions, initiating joint-stock companies, special transactions (wages and salaries, financial transactions etc…), adjusting entries and year-end closing entries. Practical exercises in applying accounting record-keeping systems and measurement principles to business transactions.

Paoloni M., Paoloni P. (a cura di), Introduzione ed orientamento allo studio delle aziende, Giappichelli, 2009
Paoloni M., Celli, M. (a cura di), Introduzione alla contabilità generale, CEDAM, 2012

Structure of the computer. Hardware and Software. General diagram of a data processing system. Type of computers. The use of the computer memories. The processor. The multiprocessor architectures. Input / Output: Ports for input / output of the computer. The units of input. The units of output. Operating systems. Characteristics of the operating systems. The multitasking operating systems. The Windows operating system. The graphical interface. Computer networks.
The communication between computers. Protocols and interfaces. The local networks. The transmission media. The types of network. The network technologies. The wide area networks. Client-server architecture and peer-to-peer networks. Internetwork. Internet. The services of the Internet.
. Word processing and presentation tools. Spreadsheets Use of data bases

ECDL Syllabus 5.0
Lectures notes provided by the teacher

The program includes:
Introduction to law
Forms of State and forms of Government
Beyond the State: the EU
The sources of law
Parliament and its functions
Institutes of direct democracy
The abrogative referendum.
The Government and its functions
The President of the Republic and his attributions
Principles on the subject of Administration
The other organs
Local ordering
Rights and freedom
The economic Constitution
Judicial power
Constitutional Justice

It is recommended the study of one of the following books:
R. BIN – G. PITRUZZELLA, Diritto pubblico, Torino, Giappichelli, latest edition
P. CARETTI – U. DE SIERVO, Istituzioni di Diritto pubblico, Torino, Giappichelli, latest edition
F. Modugno (a cura di), Diritto Pubblico, Torino, Giappichelli, latest edition
C. ROSSANO, Manuale di Diritto pubblico, Napoli, Jovene, latest edition

1. Production and prices: general elements
The production process. Production methods and their representation. The social production process. Economy of mere subsistence. Economy producung surplus. Basic and non-basic goods.

2. Fundamentals of the classical theory of distribution and relative prices
The real wage and other circumstances taken as given in the 'core' of the theory. The concept of social surplus. Profits and general profit rate. Distinction and relationship between "normal" and "market" prices. Price equations: simultaneous determination of profit rate and relative prices. Importance and limits of the solutions to the problem attempted by Ricardo and Marx. The inverse wage-profit relationship. The theory of rent.

3. Fundamentals of the marginalist theory of distribution and relative prices
The data of the theory. Consumer theory. Functions of consumption good demand. Production theory. Direct and indirect substitutability as analytical bases for factor demand functions. Determination of distribution and relative prices in terms of supply and demand equilibria. Comparison with the classical theory of distribution. Implications of general economic equilibrium: full employment of available resources; Pareto optimality; efficiency in exchange; efficiency in production; efficiency in the combination of outputs. The notion of capital as a single productive factor and the difficulties that derive from it (mention).

4. Analysis of the single industry and market forms
The analysis of "partial" equilibrium. Short and long term cost curves of the individual enterprise. Equilibrium of enterprise and industry under competitive conditions, in the short and long period. Quantity produced and price, in the short and long period, in monopoly and monopolistic competition. The oligopoly: Cournot model.

■ "Elementi di teoria della produzione", Appunti per il corso di Microeconomia - Dispensa n.1
■ "La teoria classica della distribuzione e dei prezzi relativi", Appunti per il corso di Microeconomia - Dispensa n.2
■ "La teoria marginalista della distribuzione e dei prezzi relativi", Appunti per il corso di Microeconomia - Dispensa n.3

With regard to the other text adopted, the chapters and paragraphs included in the programme are set out below, with reference to the latest edition (2014).

Robert H. Frank e Edward Cartwright, Microeconomia
Milano: McGraw-Hill, VI edizione, 2014
Capitoli e paragrafi in programma:

Capitoli e paragrafi in programma:

Capitolo 3, La scelta razionale del consumatore, p. 51
{paragrafi 3.1, 3.2, 3.3, 3.4 e Appendice 3}

Capitolo 4, Domanda individuale e domanda di mercato, p. 91
{paragrafi: 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7}

Capitolo 5, Applicazioni delle teorie della scelta razionale e della domanda, p. 135
{limitatamente al paragrafo 5.7}

Capitolo 9, La produzione, p. 263
{intero capitolo, inclusa l'Appendice 9}

Capitolo 10, I costi, p. 293
{intero capitolo, inclusa l'Appendice 10}

Capitolo 11, La concorrenza perfetta, p. 329
{paragrafi: 11.1, 11.2, 11.3, 11.4, 11.5, 11.6, 11.7, 11.8?, 11.9, 11.12, 11.13}

Capitolo 12, Il monopolio, p. 371
{paragrafi: 12.1, 12.2, 12.3, 12.4, 12.5, 12.6, 12.8}

Capitolo 13, Concorrenza imperfetta: un approccio basato sulla teoria dei giochi, p. 421
{paragrafi: 13.1, 13.2, 13.4 limitatamente al sotto-paragrafo 13.4.1}

Capitolo 15, L'equilibrio generale e l'efficienza dei mercati, p. 515
{paragrafi: 15.1, 15.2, 15.3, 15.4, 15.6, 15.7}

Elements of the theory of production
- inputs, outputs and production methods
- the subsistence economy
- the economy with a surplus
The surplus approach to commodity value and income distribution
- the relevance of social and institutional elements to income distribution
- the explanation of the real wage rate
- the "core" of the classical approach
- the link between profit rate and relative prices
- the price equations
- the classical theory of rent
The theory of consumer choice
- budget set and budget constraint
- preferences
- consumer choice
- consumer-good demand curves
The theory of firm choice
- the function of production
- profit maximisation
- isoquants and isocosts
- the output expansion path and long-term cost curves
Production factors and the marginalist explanation of income distribution
- marginal and average productivity of factors
- the demand curves of factors of production
- equilibrium between supply and demand for factors of production
Market forms
- perfect competition
- monopoly
- Cournot oligopoly
- Stackelberg oligopoly
Introduction to the welfare economics
- allocations and Edgeworth box
- Pareto improvements and Pareto optima
- first theorem of welfare economics

i) "Elementi di teoria della produzione", Appunti per il corso di Microeconomia - Dispensa n. 1 (teaching material written by R. Ciccone, S.M. Fratini e A. Trezzini).
ii) "La teoria classica della distribuzione e dei prezzi relativi", Appunti per il corso di Microeconomia - Dispensa n. 2 (teaching material written by R. Ciccone, S.M. Fratini e A. Trezzini).
iii) "La teoria marginalista della distribuzione e dei prezzi relativi", Appunti per il corso di Microeconomia - Dispensa n. 3 (teaching material written by R. Ciccone, S.M. Fratini e A. Trezzini).
iv) R.H. Frank, Microeconomia. McGraw-Hill Libri Italia, Milano.
v) "Glossario ed Esercizi Svolti di Microeconomia" (teaching material written by S.M. Fratini e D. Pignalosa).

An introduction to the fundamental ideas of statistics. Topics include descriptive statistics, probability, confidence intervals, and testing hypotheses, as well as the basics of Chi-square tests, regression and correlation.

1) L. PIERACCINI, A. NACCARATO. LEZIONI DI STATISTICA DESCRITTIVA, GIAPPICHELLI, 2003.
2) L. PIERACCINI. FONDAMENTI DI INFERENZA STATISTICA. II EDIZ. GIAPPICHELLI, 2007.

OR ONE AMONG:
- S.M. ROSS. INTRODUZIONE ALLA STATISTICA, APOGEO, 2008.
- D. PICCOLO. STATISTICA PER LE DECISIONI, IL MULINO, BOLOGNA, EDIZIONE 2010.
- D.S. MOORE. STATISTICA DI BASE, APOGEO, 2005.

This graduate level course covers the following topics:
An overview of statistics
Data description: scales of measurement, how to describe data graphically for categorical data (pie chart, bar chart) and graphs for quantitative variables (histogram, pie chart)
How to describe data by summary statistics: measures of central tendency, variability and skewness.
How to create a box plot
How probability and probability distributions are involved in statistics
How binomial distributions are involved in statistics
The role that normal distributions play in statistics
Simple random sampling and sampling distribution of sample mean, central limit theorem, normal approximation to the binomial
Differentiation between a population and a sample, how to use a statistic to estimate a population parameter, confidence interval and its interpretation, inferences of population mean and proportion
Confidence interval for population mean, Sample size needed for estimating the population mean with a specified confidence level and specified width of the interval
Hypothesis testing: in terms of how to set up Null and Alternative hypotheses, understanding Type I and Type II errors, performing a statistical test for the population mean
p-value, how to compute it and how to use it
Inferences about μ with σ unknown: the t-distribution and the assumptions required to check in order to use it
How to compare the mean of two populations for independent samples: using pooled variances t-test versus separate variances t-test
How to compare the mean of two populations for paired data
How to compare two population proportions
Using contingency table and the Chi-square test of independence
Understanding concepts related to linear regression models including, least squares method, correlation, inferences about the parameters in the linear regression model

The course the course is taught in Italian so textbooks are in Italian:
- G. Cicchitelli, Statsitica: Principi e Metodi, Pearson Education, 3/Eds
- Sebastiani M. R. (2015) “Esercitazioni di statistica”. Esculapio Editore, 3° edizione.
For English speaking students a textbook is:
Introductory Statistics for Business and Economics by Thomas H. Wonnacott and Ronald J. Wonnacott
John Wiley & Sons Inc; International 2 Revised ed
Notes and handout (in Italian) are available at the web page of the course.

The course is composed by modules. The first two modules include the following legal categories: sources of law; subjective juridical situations; physical and juridical persons; legal assets, real rights in re propria and in re aliena; fact, act and trade; obligations; contracts in general. The third part focuses on the forms of transfer of familial property, with particular emphasis on the discipline of family law and mortis causa succession.

- M. NUZZO, Introduzione alle scienze giuridiche. Norme - Soggetti - Attività, 3ª ed., Giappichelli, 2009
- F. MACIOCE, L’obbligazione e il contratto, 3ª ed., Giappichelli, 2013
- L. ROSSI CARLEO, E. BELLISARIO, V. CUFFARO, Famiglia e successioni. Le forme di circolazione della ricchezza familiare, 4ª ed., Giappichelli, 2016 (excluding sec. from 6 to 12 Chap. III; Chap. VIII and Chap. X)

The course is composed by modules. The first two modules include the following legal categories: sources of law; subjective juridical situations; physical and juridical persons; legal assets, real rights in re propria and in re aliena; fact, act and trade; obligations; contracts in general. The third part focuses on the forms of transfer of familial property, with particular emphasis on the discipline of family law and mortis causa succession.

- M. NUZZO, Introduzione alle scienze giuridiche. Norme - Soggetti - Attività, 3ª ed., Giappichelli, 2009
- F. MACIOCE, L’obbligazione e il contratto, 3ª ed., Giappichelli, 2013
- L. ROSSI CARLEO, E. BELLISARIO, V. CUFFARO, Famiglia e successioni. Le forme di circolazione della ricchezza familiare, 4ª ed., Giappichelli, 2016 (excluding sec. from 6 to 12 Chap. III; Chap. VIII and Chap. X)

The Course aims, first of all, to provide an overview of the role and the main functions of the financial system. The central part of the Course is dedicated to an analysis of the technical characteristics and of the economic and management profiles of financial instruments and markets. Finally, the Course presents the objectives as well as the organization and the behavioral models of financial intermediaries.

Nadotti L., Porzio C., Previati D. (2013), Economia degli Intermediari Finanziari (Financial Markets and Institutions), second edizione, McGraw-Hill Education, Milan.

The course is structured in three parts:
1) The company and the strategy
2) The functions of company management
3) Operational management

Specifically, the course deals with:
Firms and their roles
Firm and their environment
Stakeholders theory
Theory of the firm
Strategic management of the company
The competitive analysis
Evolution of sectors and competitive structures
The Resource Based View
The competitive advantage
The growth of the company
The roles of corporate management: management, programming, control, human resources, information systems, knowledge management
Operational management: marketing, production, finance, logistics, innovation, administration

Teaching material is as follows:
• textbook: Sciarelli (2014) La gestione dell’impresa. Tra teoria e pratica aziendale, CEDAM
• Slides
• Notes
• Any video used and indicated
• Any case and exercise
• Guest Speeches
• Additional material shared by students for supplementary activities

Students interested in better examining the topics are kindly invited to discuss with the instructor.

1. PRELIMINARY CONCEPTS Money, time and risks. Present and future value, principal and interest. Contracts, exchange, prices. The risks.

2. FOUNDATIONS OF FINANCIAL CONTRACTS EVALUATION
2.1 EVALUATION IN CERTAINTY CONDITIONS Financial laws in certainty conditions. The exponential law. Annuities and mortgages. Internal rate of return on a financial transaction. Theory of financial equivalence laws.
2.2 FINANCIAL OPERATIONS IN THE MARKET. Value function and market price. The term structure. Duration indices and variability indices. Arbitrage valuations of floating rate notes. Interest Rate Swap. Term structure measurement. Term structure evolution. Introduction to financial options. Basic elements on equity options. Basic elements on traditional life insurance contracts.

David G. Luenberger
Investment Science
Oxford University Press (any edition)

Annamaria Olivieri, Ermanno Pitacco
Introduction to Insurance Mathematics
Springer, 2011

1. PRELIMINARY CONCEPTS Money, time and risks. Present and future value, principal and interest. Contracts, exchange, prices. The risks.

2. FOUNDATIONS OF FINANCIAL CONTRACTS VALUATION

2.1 VALUATION IN CERTAINTY CONDITIONS Financial laws under certainty conditions. The exponential law. Annuities and mortgages. Internal rate of return of a financial transaction. Theory of financial laws.

2.2 FINANCIAL OPERATIONS IN THE MARKET. Value function and market price. The term structure. Duration indices and variability indices. Arbitrage valuation of floating rate notes. Interest Rate Swap. Term structure measurement. Term structure evolution. Introduction to financial options. Basic elements on equity options. Basic elements on traditional life insurance contracts.

David G. Luenberger
Investment Science
Oxford University Press (any edition)

Annamaria Olivieri, Ermanno Pitacco
Introduction to Insurance Mathematics
Springer, 2011

the class analyzes the following matters: entrepreneur's general rules; individual and collective entrepreneur; the company; partnership and corporation; cooperative societies; company modifications; auxiliary entrepreneur; the farm; debt securities general principles and promissory note; bankruptcy law general principles.

AA.VV., Manuale di diritto commerciale ideato da V. Buonocore, Torino, Giappichelli, last edition

The course will cover the following topics:
1. The entrepreneur (of any kind).
2. The rules set forth for the commercial enterprises.
2. Companies and other business organizations.
4. The joint-stock company and the limited partnership by shares.
5. Transformation, merger and spin-off.
6. The co-operative companies, the consortia and the joint-ventures.
7. Bankrupcy (general principles).

V. Buonocore (a cura di), Manuale di diritto commerciale, Torino, Giappichelli, ultima edizione:
parte I, cap. I e cap. II
parte I, cap. IV e cap. V;
parte I, cap. VIII;
parte II, tutta;
parte V, sez. I e sez. II, parag. 1 e parag. 2
parte VI, sez. I.

Si consiglia lo studio della materia con l’ausilio di un Codice civile aggiornato, completo di leggi collegate.

Propositional logic. Propositions. Decidable propositions. Logical operations between propositions. Logical implication. Necessity, sufficiency and necessity and sufficiency. Truth tables. Theorem. Methods for proving a theorem. Sets. Operations between sets. Numerical sets:
natural numbers, relative numbers and rational numbers. Infimum and supremum of a numerical set. Irrationality of square root of 2 (with proof). Dedekind's axiom. The real numbers set. Real numbers and their representation on the straight line. Limited and non-limited sets. Maximum and minimum of a numerical set. Intervals and boundary of a point. Elements of line topology: isolated, boundary, internal and accumulation points. Open sets. Closed sets. A set is closed if and only if it contains all its accumulation points.
2) Sums
Definition of summation. Sum of the first natural n (with proof). Sum of the first n terms of a geometric progression (with proof). Summation properties.
3) Real functions of real variable
Real functions of real variable. The Cartesian plane and the graph of a function. Injective and surjective functions. Invertible functions. Even and odd functions. Increasing and decreasing functions. Link between monotony and injectivity. Inverse function. Inverse function graph. Elementary functions. Transformations of elementary functions. Compound function. Multi-law defined functions. Domain of a function.
4) Sequences and numerical series
Converging, diverging and indeterminate sequences. Limits of sequences. Definition of numerical series. Necessary condition for convergence
of a series (with proof). The character of the geometric series (with proof). Mengoli series and its value (with proof).
5) Limits of real functions of real variable
Definition of limits. Right-hand limit and left-hand limit. Vertical and horizontal asymptote. Oblique asymptote. Theorem on uniqueness of limit. (with proof). Theorems on sign permanence (with proof). Rational operations on limits. Indeterminate forms. Notable limits.
6) Infinites and infinitesimals
Definition of infinitesimal and infinite. Comparison between infinitesimal and infinite. Order of infinitesimal and infinite. Cancellation theorems (with proof). Order propagation.
7) Continuity
Definition of continuity in a point. Continuity in a set. Classification of discontinuity points. Continuity of elementary functions. Continuity
of the compound function. Continuity of functions defined by several laws. Theorem of zeros for continuous functions. Weierstrass's theorem. Darboux's theorem (with proof).
8) Differential calculus
Difference quotient. Derivative of a function in a point and its geometric meaning. Derivability implies continuity (with proof). Points of non-derivability.
Derivative function and derivatives of subsequent order. Derivative of elementary functions. The rules of derivation. Derivative of compound functions. De L’Hopital's theorem and its application to indeterminate forms. Taylor polynomial of order 1 and order 2 (with proof). The factorial of n. Taylor polynomial
of order n. Mc Laurin polynomial. Differential and its geometric meaning. First-order error theorem (with proof). Local maxima and minima. Fermat's theorem (with proof). Rolle's theorem (with proof). Lagrange's theorem (with proof). Corollaries to Lagrange's theorem (with proof). Relationship between the sign of the first derivative and the increasing / decreasing functions in an interval (with proof). Concavity and convexity in a point. Relationship between the sign of the second derivative and the convexity / concavity of a function in an interval (with proof). Flex points. Global concavity and convexity conditions.
9) Integral calculus
Primitive of a function. Indefinite integral. Properties of primitives (with proof). Property of the indefinite integral. Immediate indefinite integrals. Integration by parts (with proof). Area subtended by a curve. Superior and inferior integral sum. Definition of definited Riemann integral. Property
of the definite integral. Integral function. The integral mean value theorem (with proof). Torricelli-Barrow's theorem (with proof). Corollary to Torricelli-Barrow's theorem (with proof).
10) Linear algebra
Vectors and their geometric representation. Product of a vector for a scalar. Vectors addition. The vector space Rn: Linear combination of
vectors. Linearly dependent and independent vectors. Matrices. Matrix addition. Matrix multiplication. Determinant of a matrix. Matrix
inverse. Uniqueness of the inverse matrix (with proof). Necessary condition for the existence of the inverse matrix (with proof). Sufficient condition for the existence of the inverse matrix. Transposed matrix. Rank of a matrix. Linear equation systems. Cramer's theorem. Rouché-Capelli theorem. Homogeneous systems. Parametric systems

Mathematics for economists Carl P. Simon, Lawrence Blume- W.W. Norton and Company, Inc.
Only:Chapter 2, Chapter 3, Chapter 4, Chapter 5, Chapter 6, Chapter 7, Appendix 4 .

Functions of One Variable. Properties of Functions. Differentiation. Derivatives in Use. Single-Variable Optimization. Integration. Matrix and Vector Algebra. Determinants and Inverse Matrices. Systems of Linear Equations.

Mathematics for economists Carl P. Simon, Lawrence Blume- W.W. Norton and Company, Inc.
Only: Chapter 2, Chapter 3, Chapter 4, Chapter 5, Chapter 6, Chapter 7, Appendix 4.

or

Essential Mathematics for Economic Analysis
Knut Sydsæter, Peter Hammond, Arne Strøm
Only : Chapter1, Chapter 2, Chapter 3, Chapter 4, Chapter 5, Chapter 6, Chapter 7, Chapter 8, Chapter 9, Chapter 15, Chapter 16.

Logica proposizionale ed insiemistica: Proposizioni, operazioni con le proposizioni, insiemi, operazioni con gli insiemi ed applicazioni.
Insiemi numerici: Numeri interi, relativi, razionali, reali; insiemi numerici limitati; intervalli, intorni, punti di accumulazione in R.
Sommatoria e produttoria Somme particolari e proprietà.
Cenni alle successioni e serie numeriche
Funzioni reali di variabile reale: Funzioni iniettive, suriettive, pari e dispari, funzioni elementari, funzioni composte, funzioni invertibili, grafici deducibili da quelli noti; limiti, teoremi di unicità del limite, teoremi della permanenza del segno, teorema del confronto; continuità, Teorema degli zeri, teorema di Weierstrass e di Darboux; infinitesimi, infiniti, ordine, teoremi di cancellazione.
Calcolo differenziale: Rapporto incrementale, derivata, teorema su derivabilità e continuità, regole di derivazione, derivazione funzioni composte e funzioni inverse, differenziale, derivate di ordine superiore, approssimazione con polinomi di Taylor e di Mc Laurin.
Studio di funzioni: Massimi e minimi relativi, teorema di Fermat, teorema di Rolle, teorema di Lagrange e corollari, teorema di De L’Hospital, funzioni concave e convesse.
Calcolo integrale: Funzioni primitive e integrale indefinito, integrazione per parti e per sostituzione, integrale definito: proprietà, teorema della media, teorema di Torricelli Barrow e corollario.
Algebra lineare: Vettori, spazi vettoriali, vettori linearmente dipendenti e non, basi, matrici, operazioni con le matrici, determinante, rango, matrice inversa, sistemi di equazioni lineari, teorema di Cramer e di Rouchè-Capelli, sistemi parametrici.

teaching material on the teacher's website

1. The Economic system. Definitions and measurement of the main macroeconomic aggregates
2. Macroeconomic equilibrium and the Keynesian theory of income and employment
3.The public sector
4. The open economy: balance of payments, exchange rate, external constraint
5. Money and financial activities. The Central Bank and the banking sector, Demand and supply of money, interest rate determination.
6. Aggregate investment and the rate of interest. Controversial aspects.
7. The IS-LM model. Economic policy in the IS-LM model in a closed economy. Effects of changes in nominal wages
8. The IS-LM model for the open economy, exchange rate regimes and the effects of economic policy
9.The AD-AS model and its implications for the theory of output and employment
10. Inflation and unemployment some elements towards an interpretation

C. De Vincenti, MACROECONOMIA - ELEMENTI DI BASE, editore Carocci, 2003 (except parr 9.5 e 9.6 and chapt. 10) + macroeconomics hand-outs by prof. Antonella Stirati available at the library

1. National accounts
2. The neoclassical model
3. Aggregate demand and income multipliers
4. Money and interest
5. The IS-LM model
6. The AD-AS model
7. The Phillips curve
8. The new-Keynesian models

- R. Dornbusch, S. Fischer, R. Startz, G. Canullo, P. Pettenati, Macroeconomia, McGraw Hill, Milano, 2014
- J.R. Hicks, “Il processo produttivo, il lavoro e il capitale”, in M. Pivetti (a cura di), Letture di Economia Politica, LED, Milano
- O. Castellino, Introduzione alla contabilità nazionale, Giappichelli editore, Torino, 1991

GENERAL CHARACTERISTICS OF CORPORATE ORGANISATIONS
1) The firm as an economic entity: General characteristics of the firm. Corporate entities: legal and economic identity. Types of firms.
2) The firm in its broader economic perspective: The enterprise as an individual economic undertaking: private enterprises and state-owned enterprises. The company’s purpose. Financial and economic stability as a prerequisite of a company’s existence. Economic stability and different types of economic operability. Payment for operating and production inputs used by enterprises. Corporate risk and who bears it. Income and company profitability.
3) The organizational structure as part of the decision-making process; management control in modern corporations: Evolution of the corporate organizational models shaping the decision-making structure. Control exercised in corporations by different stakeholders. The planning and control function in modern corporations.
4) Corporate funding: Capital requirements, and how much is needed. Corporate funding: equity and debt capital in their various forms. Funding through cash generation. Capital structure of the company; choice of cost-efficient financing options; the dynamic relationship between equity and debt capital. Short-term capital and long-term financing.
MONITORING AND MEASUREMENT OF COMPANY PERFORMANCE
1) The accounting logic: Rationale. Nature of data to be examined. Methodologies. The corporate record-keeping system in a broad sense.
2) Accounting practice: The theory of double entry bookkeeping. Double entry bookkeeping applied to manufacturing companies. Bookkeeping entries for general business transactions, initiating joint-stock companies, special transactions (wages and salaries, financial transactions etc…), adjusting entries and year-end closing entries. Practical exercises in applying accounting record-keeping systems and measurement principles to business transactions.

Paoloni M., Paoloni P. (a cura di), Introduzione ed orientamento allo studio delle aziende, Giappichelli, 2009
Paoloni M., Celli, M. (a cura di), Introduzione alla contabilità generale, CEDAM, 2012

Alternatively:

David Boddy, Management: an Introduction, Financial Times Prentice Hall, 2011
Leslie K. Breitner and Robert N. Anthony, Essentials of Accounting, Pearson, 2013

Program
1) Organisations and entities.
General characters: Aims of organisations. "Legal entity" and "economic entity." Various types of organisations
2) Broader characters of an Organisation.
Private and public companies. Equilibrium conditions. Possible ways to remunerate resources used by the organisation. The business risk. Income and profit.
3) Funding
The need for capital and its determination. Corporate finance, "equity" and "debt capital"; corporate self-financing; the dynamic relationship between "equity" and "debt capital". A corporate' s financial structure.
4) Accounting as a tool for information
Logical moments. The nature of facts under investigation. Methods.
5) The accounting recognition
Theory of the double-entry accounting. Systematic and comprehensive recording of financial transactions pertaining to a business.

Part I: The Economy of the Company: Business Economics and Accounting. The study of the conditions of existence of the corporate body; the personal component and the operating means of the company. Object of the company. Corporate subjects: "legal entities" and "economic subject". Organization. The organizational structures. Various types of company. The institution of the company, its location, its size.
The supply company: general characteristics and management schemes. Production companies for the exchange of goods and services: companies. The aims of the company. The economic balance as a fundamental condition of the life of the company. Economic balance and economy. The possible ways of remunerating the productive factors used by the company. The business risk and the subjects on which it weighs. Business efficiency. The process of forming the company's income. The capital requirement and its determination. Company financing: equity and credit capital in their various forms; corporate self-financing; the choice of convenient forms of financing; the dynamic relationship between equity and credit capital. The financial structure of the company.
The process of dimensional growth of companies: the main characteristics, nature, structure, internal exchange and production operations in groups of companies.
Part II: Accounting elements: Double-entry theory and method. The double-entry method applied to the income system in production companies. The accounting records of the incorporation operations and of the main operations. The accounts for closing and reopening the accounts.

Zanda, Fondamenti di Economia Aziendale, Giappichelli, ultima edizione
oppure
Zanda, Lineamenti di Economia Aziendale, Kappa, ultima edizione

L. MUSERRA, T.ONESTI, Esercitazioni di economia aziendale, Giappichelli, 2013 (ebook, available on the website giappichelli.it).
Please refer to the onestieconomiaaziendale.wordpress.com course page for course material.

First part: BUSINESS ADMINISTRATION
1) Business Economics and Accounting. General company characters. The firm as an economic entity: General characteristics of the firm. Corporate entities: legal and economic identities. Types of firms.
2) The enterprise as an individual economic undertaking: private enterprises and state-owned enterprises. The company’s purpose. Financial and economic stability as a prerequisite of a company’s existence. Economic stability and different types of economic operability. Payment for operating and production inputs used by enterprises. Corporate risk. Income and profitability. Social responsibility and sustainability. The process of dimensional growth of companies: the main characteristics, nature, structure, internal exchange and production operations in groups of companies.
3) Assessment of financial needs. Corporate funding: equity and debt capital in their various forms. Funding through cash generation. The capital structure of the company; choice of cost-efficient financing options; the dynamic relationship between equity and debt capital. Short-term capital and long-term financing.

Second part: ACCRUAL ACCOUNTING
Double-entry theory and method. The double-entry method applied to the income system in production companies. The accounting records of the incorporation operations and of the main operations. The accounts for closing and reopening the accounts.

Part I
ZANDA, Lineamenti di Economia Aziendale, Edizioni Kappa, Roma, 2006;
Part II
T.ONESTI et al. (a cura di), Esercitazioni di economia aziendale, Giappichelli, Torino, 2013 (ebook).

During the lessons, the teacher will provide additional support material through the website of the chair: https://onestieconomiaaziendale.wordpress.com/

GENERAL CHARACTERISTICS OF CORPORATE ORGANISATIONS
1) The firm as an economic entity: General characteristics of the firm. Corporate entities: legal and economic identity. Types of firms.
2) The firm in its broader economic perspective: The enterprise as an individual economic undertaking: private enterprises and state-owned enterprises. The company’s purpose. Financial and economic stability as a prerequisite of a company’s existence. Economic stability and different types of economic operability. Payment for operating and production inputs used by enterprises. Corporate risk and who bears it. Income and company profitability.
3) The organizational structure as part of the decision-making process; management control in modern corporations: Evolution of the corporate organizational models shaping the decision-making structure. Control exercised in corporations by different stakeholders. The planning and control function in modern corporations.
4) Corporate funding: Capital requirements, and how much is needed. Corporate funding: equity and debt capital in their various forms. Funding through cash generation. Capital structure of the company; choice of cost-efficient financing options; the dynamic relationship between equity and debt capital. Short-term capital and long-term financing.
MONITORING AND MEASUREMENT OF COMPANY PERFORMANCE
1) The accounting logic: Rationale. Nature of data to be examined. Methodologies. The corporate record-keeping system in a broad sense.
2) Accounting practice: The theory of double entry bookkeeping. Double entry bookkeeping applied to manufacturing companies. Bookkeeping entries for general business transactions, initiating joint-stock companies, special transactions (wages and salaries, financial transactions etc…), adjusting entries and year-end closing entries. Practical exercises in applying accounting record-keeping systems and measurement principles to business transactions.

Paoloni M., Paoloni P. (a cura di), Introduzione ed orientamento allo studio delle aziende, Giappichelli, 2009
Paoloni M., Celli, M. (a cura di), Introduzione alla contabilità generale, CEDAM, 2012

Structure of the computer. Hardware and Software. General diagram of a data processing system. Type of computers. The use of the computer memories. The processor. The multiprocessor architectures. Input / Output: Ports for input / output of the computer. The units of input. The units of output. Operating systems. Characteristics of the operating systems. The multitasking operating systems. The Windows operating system. The graphical interface. Computer networks.
The communication between computers. Protocols and interfaces. The local networks. The transmission media. The types of network. The network technologies. The wide area networks. Client-server architecture and peer-to-peer networks. Internetwork. Internet. The services of the Internet.
. Word processing and presentation tools. Spreadsheets Use of data bases

ECDL Syllabus 5.0
Lectures notes provided by the teacher

The program includes:
Introduction to law
Forms of State and forms of Government
Beyond the State: the EU
The sources of law
Parliament and its functions
Institutes of direct democracy
The abrogative referendum.
The Government and its functions
The President of the Republic and his attributions
Principles on the subject of Administration
The other organs
Local ordering
Rights and freedom
The economic Constitution
Judicial power
Constitutional Justice

It is recommended the study of one of the following books:
R. BIN – G. PITRUZZELLA, Diritto pubblico, Torino, Giappichelli, latest edition
P. CARETTI – U. DE SIERVO, Istituzioni di Diritto pubblico, Torino, Giappichelli, latest edition
F. Modugno (a cura di), Diritto Pubblico, Torino, Giappichelli, latest edition
C. ROSSANO, Manuale di Diritto pubblico, Napoli, Jovene, latest edition

1. Production and prices: general elements
The production process. Production methods and their representation. The social production process. Economy of mere subsistence. Economy producung surplus. Basic and non-basic goods.

2. Fundamentals of the classical theory of distribution and relative prices
The real wage and other circumstances taken as given in the 'core' of the theory. The concept of social surplus. Profits and general profit rate. Distinction and relationship between "normal" and "market" prices. Price equations: simultaneous determination of profit rate and relative prices. Importance and limits of the solutions to the problem attempted by Ricardo and Marx. The inverse wage-profit relationship. The theory of rent.

3. Fundamentals of the marginalist theory of distribution and relative prices
The data of the theory. Consumer theory. Functions of consumption good demand. Production theory. Direct and indirect substitutability as analytical bases for factor demand functions. Determination of distribution and relative prices in terms of supply and demand equilibria. Comparison with the classical theory of distribution. Implications of general economic equilibrium: full employment of available resources; Pareto optimality; efficiency in exchange; efficiency in production; efficiency in the combination of outputs. The notion of capital as a single productive factor and the difficulties that derive from it (mention).

4. Analysis of the single industry and market forms
The analysis of "partial" equilibrium. Short and long term cost curves of the individual enterprise. Equilibrium of enterprise and industry under competitive conditions, in the short and long period. Quantity produced and price, in the short and long period, in monopoly and monopolistic competition. The oligopoly: Cournot model.

■ "Elementi di teoria della produzione", Appunti per il corso di Microeconomia - Dispensa n.1
■ "La teoria classica della distribuzione e dei prezzi relativi", Appunti per il corso di Microeconomia - Dispensa n.2
■ "La teoria marginalista della distribuzione e dei prezzi relativi", Appunti per il corso di Microeconomia - Dispensa n.3

With regard to the other text adopted, the chapters and paragraphs included in the programme are set out below, with reference to the latest edition (2014).

Robert H. Frank e Edward Cartwright, Microeconomia
Milano: McGraw-Hill, VI edizione, 2014
Capitoli e paragrafi in programma:

Capitoli e paragrafi in programma:

Capitolo 3, La scelta razionale del consumatore, p. 51
{paragrafi 3.1, 3.2, 3.3, 3.4 e Appendice 3}

Capitolo 4, Domanda individuale e domanda di mercato, p. 91
{paragrafi: 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7}

Capitolo 5, Applicazioni delle teorie della scelta razionale e della domanda, p. 135
{limitatamente al paragrafo 5.7}

Capitolo 9, La produzione, p. 263
{intero capitolo, inclusa l'Appendice 9}

Capitolo 10, I costi, p. 293
{intero capitolo, inclusa l'Appendice 10}

Capitolo 11, La concorrenza perfetta, p. 329
{paragrafi: 11.1, 11.2, 11.3, 11.4, 11.5, 11.6, 11.7, 11.8?, 11.9, 11.12, 11.13}

Capitolo 12, Il monopolio, p. 371
{paragrafi: 12.1, 12.2, 12.3, 12.4, 12.5, 12.6, 12.8}

Capitolo 13, Concorrenza imperfetta: un approccio basato sulla teoria dei giochi, p. 421
{paragrafi: 13.1, 13.2, 13.4 limitatamente al sotto-paragrafo 13.4.1}

Capitolo 15, L'equilibrio generale e l'efficienza dei mercati, p. 515
{paragrafi: 15.1, 15.2, 15.3, 15.4, 15.6, 15.7}

Elements of the theory of production
- inputs, outputs and production methods
- the subsistence economy
- the economy with a surplus
The surplus approach to commodity value and income distribution
- the relevance of social and institutional elements to income distribution
- the explanation of the real wage rate
- the "core" of the classical approach
- the link between profit rate and relative prices
- the price equations
- the classical theory of rent
The theory of consumer choice
- budget set and budget constraint
- preferences
- consumer choice
- consumer-good demand curves
The theory of firm choice
- the function of production
- profit maximisation
- isoquants and isocosts
- the output expansion path and long-term cost curves
Production factors and the marginalist explanation of income distribution
- marginal and average productivity of factors
- the demand curves of factors of production
- equilibrium between supply and demand for factors of production
Market forms
- perfect competition
- monopoly
- Cournot oligopoly
- Stackelberg oligopoly
Introduction to the welfare economics
- allocations and Edgeworth box
- Pareto improvements and Pareto optima
- first theorem of welfare economics

i) "Elementi di teoria della produzione", Appunti per il corso di Microeconomia - Dispensa n. 1 (teaching material written by R. Ciccone, S.M. Fratini e A. Trezzini).
ii) "La teoria classica della distribuzione e dei prezzi relativi", Appunti per il corso di Microeconomia - Dispensa n. 2 (teaching material written by R. Ciccone, S.M. Fratini e A. Trezzini).
iii) "La teoria marginalista della distribuzione e dei prezzi relativi", Appunti per il corso di Microeconomia - Dispensa n. 3 (teaching material written by R. Ciccone, S.M. Fratini e A. Trezzini).
iv) R.H. Frank, Microeconomia. McGraw-Hill Libri Italia, Milano.
v) "Glossario ed Esercizi Svolti di Microeconomia" (teaching material written by S.M. Fratini e D. Pignalosa).

An introduction to the fundamental ideas of statistics. Topics include descriptive statistics, probability, confidence intervals, and testing hypotheses, as well as the basics of Chi-square tests, regression and correlation.

1) L. PIERACCINI, A. NACCARATO. LEZIONI DI STATISTICA DESCRITTIVA, GIAPPICHELLI, 2003.
2) L. PIERACCINI. FONDAMENTI DI INFERENZA STATISTICA. II EDIZ. GIAPPICHELLI, 2007.

OR ONE AMONG:
- S.M. ROSS. INTRODUZIONE ALLA STATISTICA, APOGEO, 2008.
- D. PICCOLO. STATISTICA PER LE DECISIONI, IL MULINO, BOLOGNA, EDIZIONE 2010.
- D.S. MOORE. STATISTICA DI BASE, APOGEO, 2005.

This graduate level course covers the following topics:
An overview of statistics
Data description: scales of measurement, how to describe data graphically for categorical data (pie chart, bar chart) and graphs for quantitative variables (histogram, pie chart)
How to describe data by summary statistics: measures of central tendency, variability and skewness.
How to create a box plot
How probability and probability distributions are involved in statistics
How binomial distributions are involved in statistics
The role that normal distributions play in statistics
Simple random sampling and sampling distribution of sample mean, central limit theorem, normal approximation to the binomial
Differentiation between a population and a sample, how to use a statistic to estimate a population parameter, confidence interval and its interpretation, inferences of population mean and proportion
Confidence interval for population mean, Sample size needed for estimating the population mean with a specified confidence level and specified width of the interval
Hypothesis testing: in terms of how to set up Null and Alternative hypotheses, understanding Type I and Type II errors, performing a statistical test for the population mean
p-value, how to compute it and how to use it
Inferences about μ with σ unknown: the t-distribution and the assumptions required to check in order to use it
How to compare the mean of two populations for independent samples: using pooled variances t-test versus separate variances t-test
How to compare the mean of two populations for paired data
How to compare two population proportions
Using contingency table and the Chi-square test of independence
Understanding concepts related to linear regression models including, least squares method, correlation, inferences about the parameters in the linear regression model

The course the course is taught in Italian so textbooks are in Italian:
- G. Cicchitelli, Statsitica: Principi e Metodi, Pearson Education, 3/Eds
- Sebastiani M. R. (2015) “Esercitazioni di statistica”. Esculapio Editore, 3° edizione.
For English speaking students a textbook is:
Introductory Statistics for Business and Economics by Thomas H. Wonnacott and Ronald J. Wonnacott
John Wiley & Sons Inc; International 2 Revised ed
Notes and handout (in Italian) are available at the web page of the course.

The course is composed by modules. The first two modules include the following legal categories: sources of law; subjective juridical situations; physical and juridical persons; legal assets, real rights in re propria and in re aliena; fact, act and trade; obligations; contracts in general. The third part focuses on the forms of transfer of familial property, with particular emphasis on the discipline of family law and mortis causa succession.

- M. NUZZO, Introduzione alle scienze giuridiche. Norme - Soggetti - Attività, 3ª ed., Giappichelli, 2009
- F. MACIOCE, L’obbligazione e il contratto, 3ª ed., Giappichelli, 2013
- L. ROSSI CARLEO, E. BELLISARIO, V. CUFFARO, Famiglia e successioni. Le forme di circolazione della ricchezza familiare, 4ª ed., Giappichelli, 2016 (excluding sec. from 6 to 12 Chap. III; Chap. VIII and Chap. X)

The course is composed by modules. The first two modules include the following legal categories: sources of law; subjective juridical situations; physical and juridical persons; legal assets, real rights in re propria and in re aliena; fact, act and trade; obligations; contracts in general. The third part focuses on the forms of transfer of familial property, with particular emphasis on the discipline of family law and mortis causa succession.

- M. NUZZO, Introduzione alle scienze giuridiche. Norme - Soggetti - Attività, 3ª ed., Giappichelli, 2009
- F. MACIOCE, L’obbligazione e il contratto, 3ª ed., Giappichelli, 2013
- L. ROSSI CARLEO, E. BELLISARIO, V. CUFFARO, Famiglia e successioni. Le forme di circolazione della ricchezza familiare, 4ª ed., Giappichelli, 2016 (excluding sec. from 6 to 12 Chap. III; Chap. VIII and Chap. X)

The course is structured in three parts:
1) The company and the strategy
2) The functions of company management
3) Operational management

Specifically, the course deals with:
Firms and their roles
Firm and their environment
Stakeholders theory
Theory of the firm
Strategic management of the company
The competitive analysis
Evolution of sectors and competitive structures
The Resource Based View
The competitive advantage
The growth of the company
The roles of corporate management: management, programming, control, human resources, information systems, knowledge management
Operational management: marketing, production, finance, logistics, innovation, administration

Teaching material is as follows:
• textbook: Sciarelli (2014) La gestione dell’impresa. Tra teoria e pratica aziendale, CEDAM
• Slides
• Notes
• Any video used and indicated
• Any case and exercise
• Guest Speeches
• Additional material shared by students for supplementary activities

Students interested in better examining the topics are kindly invited to discuss with the instructor.

1. PRELIMINARY CONCEPTS Money, time and risks. Present and future value, principal and interest. Contracts, exchange, prices. The risks.

2. FOUNDATIONS OF FINANCIAL CONTRACTS EVALUATION
2.1 EVALUATION IN CERTAINTY CONDITIONS Financial laws in certainty conditions. The exponential law. Annuities and mortgages. Internal rate of return on a financial transaction. Theory of financial equivalence laws.
2.2 FINANCIAL OPERATIONS IN THE MARKET. Value function and market price. The term structure. Duration indices and variability indices. Arbitrage valuations of floating rate notes. Interest Rate Swap. Term structure measurement. Term structure evolution. Introduction to financial options. Basic elements on equity options. Basic elements on traditional life insurance contracts.

David G. Luenberger
Investment Science
Oxford University Press (any edition)

Annamaria Olivieri, Ermanno Pitacco
Introduction to Insurance Mathematics
Springer, 2011

1. PRELIMINARY CONCEPTS Money, time and risks. Present and future value, principal and interest. Contracts, exchange, prices. The risks.

2. FOUNDATIONS OF FINANCIAL CONTRACTS VALUATION

2.1 VALUATION IN CERTAINTY CONDITIONS Financial laws under certainty conditions. The exponential law. Annuities and mortgages. Internal rate of return of a financial transaction. Theory of financial laws.

2.2 FINANCIAL OPERATIONS IN THE MARKET. Value function and market price. The term structure. Duration indices and variability indices. Arbitrage valuation of floating rate notes. Interest Rate Swap. Term structure measurement. Term structure evolution. Introduction to financial options. Basic elements on equity options. Basic elements on traditional life insurance contracts.

David G. Luenberger
Investment Science
Oxford University Press (any edition)

Annamaria Olivieri, Ermanno Pitacco
Introduction to Insurance Mathematics
Springer, 2011

Technique and technology; Technical progress and economy; evolution of technology. Technological innovation: definition, classification; main theories on technological innovation; Technological innovation and effects in the short, medium and long term. Research and innovation.
Industrial automation: meaning and historical evolution. The map of industrial automation: classification criteria. Market and development of industrial automation
technology and production organization: from the steam engine to the assembly line; from mechanization to lean production through rigid and flexible automation. The integrated system and the automated system.
Relationship between organization of production processes and organization of work and company: traditional organization; enlarged; systemic; integrated.
Systems of coordination and control of company organization and current trends: from the hierarchical model to the holonic-virtual company.
Production processes: The new needs and the strategic parameters of production. Main kind of production processes: job shop process, batch, line and continuous.
Production cycles: technological, economic and environmental aspects.
Production management: Production plans. Demand forecasts. Project Management. Material management. Production control.
Production management techniques: The push and pull logic. The Just in Time logic and Lean Production. The MRP II system. The new production management models.
Quality: historical evolution; quality management and tools.

Greasley A., (2013), Operations Management, Third edition, Wiley

the class analyzes the following matters: entrepreneur's general rules; individual and collective entrepreneur; the company; partnership and corporation; cooperative societies; company modifications; auxiliary entrepreneur; the farm; debt securities general principles and promissory note; bankruptcy law general principles.

AA.VV., Manuale di diritto commerciale ideato da V. Buonocore, Torino, Giappichelli, last edition

The course will cover the following topics:
1. The entrepreneur (of any kind).
2. The rules set forth for the commercial enterprises.
2. Companies and other business organizations.
4. The joint-stock company and the limited partnership by shares.
5. Transformation, merger and spin-off.
6. The co-operative companies, the consortia and the joint-ventures.
7. Bankrupcy (general principles).

V. Buonocore (a cura di), Manuale di diritto commerciale, Torino, Giappichelli, ultima edizione:
parte I, cap. I e cap. II
parte I, cap. IV e cap. V;
parte I, cap. VIII;
parte II, tutta;
parte V, sez. I e sez. II, parag. 1 e parag. 2
parte VI, sez. I.

Si consiglia lo studio della materia con l’ausilio di un Codice civile aggiornato, completo di leggi collegate.

module 1: raw materials, dematerialization resources
international exchange of goods
product classification
european union and customs legislation
destinations and customs regimes
introduction to the quality of goods and accreditation systems

module 2: food sector
eu food policies
food industry: production and consumption in italy
the agri-food chain: traceability and traceability of the product
labeling: birth and evolution of the legislation
quality of safety in the food sector: haccp
name and public brands: typical local products
pac and fischer reform

module 3: textile sector
the fashion system and the italian textile sector
high fashion and made in italy
labeling of textile papers
certifications diquality and made in italy

module 4: energy sector
economy and sustainability
objectives of environmental dicompatibility
energetic products labeling
environmental digestion system (iso 14001)

A copy of the slides used during lecturers and useful papers will be provided for free by the teacher.

Material for additional and deeper informations will be provided for free during the course, if required