Logic and set theory:
Propositions. Logical operations with propositions. Logical implication. Sets. Operations with sets. Cartesian product. Applications. Injective and surjective applications. One-to-one correspondence. Inverse application.
Numeric numbers and sets: Natural numbers. Integer or relative numbers. Rational numbers. Real numbers and representation on the line. Bounded sets. Upper and lower extreme of sets of rational and real numbers. Intervals and neighborhoods. Accumulation, internal, isolated points. Open sets and closed sets.
Summations and products: Definition of summation. Properties. Special sums. Sum of the first n natural numbers. Arithmetic and geometric progressions and sum of their first n terms. Factorial.
Real functions of a real variable:
Definition of a real function of a real variable. The Euclidean plane and the graph of a function. Injective and surjective functions and graph. Even and odd functions. Increasing and decreasing functions. Concave and convex functions. Bounded functions. Compositin function. Inverse function, monotonicity and invertibility, inverse function graph. Elementary functions. Functions with two laws. Transforming graphs. Domain of a function.
Sequences and numerical series: Definition of a sequence. Converging and divergent sequences. Monotone sequences and regularity theorem (w.p.). Limits of sequnces. Definition of numerical series. NC for convergence (w.p.). Cauchy criterion. Geometric, Mengoli, harmonic and generalized harmonic series.
Limits: Definition of limit. Convergence and divergence. Right limit and left limit. Vertical and horizontal asymptotes. Limit uniqueness theorem (w.p.). Sign permanence theorem in direct and inverse form (w.p.). Comparison theorem. Limit checks. Operations with limits. Indeterminate forms.
Infinitesimals and infinities: Definition of infinitesimal and infinite. Comparing infinitesimals and infinities. Order of infinitesimals and infinities. Propagation of the order. Computing limits with infinitesimals and infinities (w.p.).
Continuity and discontinuity: Definition of continuity. Limits and continuity. Classification of discontinuity points. Continuity of rational functions. Continuity of the inverse. Continuity of composition functions. Theorem of zeros (w.p.). Weierstrass theorem. Darboux's theorem (w.p.).
Differential calculus: Derivative of a function. Geometric interpretation. Derivability and continuity (w.p.) Points of non-derivability. Higher order derivatives. Derivatives of elementary functions. Rules of derivation. Chain rule. Derivative of the inverse function. Differential. First order approximation (w.p.). Taylor and McLaurin polynomial. Approximations of higher order. Stationary points. Local maxima and minima. First order necessary conditions for the existence of local maxima and minima. Fermat's theorem (w.p.). Rolle's theorem (w.p.). Lagrange theorem (w.p.). Lagrange theorem,s corollaries: zero-derivative functions (w.p.). Relations between monotonicity and derivative sign (w.p.). Local concave and convex functions. Relationship between the second order derivative and the concavity (w.p.). Points of inflection. Sufficient second order conditions for the existence of relative maxima and minima (w.p.). Sufficient conditions of order n for the existence of relative maxima and minima or inflections points (w.p.). De L'Hôpital theorem and application to limit calculus.
Graph of a function: Representation of the graph of a function on the Euclidean plane. Oblique asymptotes.
Integral calculus:
Primitive functions. Indefinite integral. Characterization of the set of primitives (w.p.). Properties of the indefinite integral. Integral of elementary functions. Integration by parts (w.p.). Integration by substitution (w.p.). Definite integral. Properties of the definite integral. Integral function. Integral mean theorem(c.d.). Fundamental theorem of integral calculus (w.p.). Corollary to Torricelli-Barrow's theorem: relationship between the definite integral and the indefinite integral (w.p.). Applications.
Linear algebra:
Vectors and vector spaces. Geometric representation of vectors. Linear combination of vectors. Linearly dependent and independent vectors. Rank of a set of vectors. Matrices. Operations with matrices. Product rows by columns. Particular matrices. Transposed matrix. Determinant of a matrix of order n. Properties of the determinant. Rank of a matrix. Rank and linear independence of vectors. Systems of linear equations. Cramer's theorem. Rouché-Capelli theorem. Homogeneous systems. Parametric systems.
(w.p.) = “with proof”

Notes can be downloaded online from the course website

1. National accounting system: basic defintions and identities. Main macroeconomic indicators
2. Keynes’s theory: aggregate demand and equilibrium output
3. Keynes’s theory: money and interest
4. The IS-LM model
5. The AS-AD model
6. Inflation and unemployment
7. Macroeconomics of the European Union
8. Money: creation an control

Compulsory material:
1) Textbook: Rudiger Dornbusch, Stanley Fischer, Richard Startz, Giuseppe Canullo, Paolo Pettenati, Macroeconomia, 11a ed (2016), McGraw-Hill, ISBN 9788838615290 (check the detailed programme for precise indications)
2) Additional teaching material (lecture notes, etc, available on the website)

GENERAL CHARACTERISTICS OF CORPORATE ORGANISATIONS
First part: BUSINESS ADMINISTRATION
1) The firm as an economic entity: General characteristics of the firm. Corporate entities: legal and economic identities. Types of firms.
2) The firm in its 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 profitability. Information Systems Governance and Internal controls (overview). Planning in business (overview).
3) Corporate funding: 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
1) The accounting rationale. Nature of data to be examined. Methodologies. The corporate record-keeping system in a broad sense.
2) Accounting practice. Double-entry bookkeeping (definition). Double-entry bookkeeping applied to manufacturing companies. Bookkeeping entries for general business transactions, initiating joint-stock companies, particular 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.

First part: BUSINESS ADMINISTRATION
Paoloni M., Paoloni P. (a cura di), Introduzione ed orientamento allo studio delle aziende, Giappichelli, 2009

Second part: ACCRUAL ACCOUNTING
Paoloni M., Celli, M. (a cura di), Introduzione alla contabilità generale, CEDAM, 2012 (pp. 75-123; pp. 137-215; pp. 220-243; pp. 244-253; pp. 255-279; pp. 292-299; pp. 304-309; pp. 321-335; pp. 364-377; pp. 399-470)

For business administration and accounting exercises: Paoloni M. (a cura di), Mattei G., Paoloni N., Eserciziario di economia aziendale e contabilita’, CEDAM, 2018

Alternatively:

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

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 (2017).

Robert H. Frank e Edward Cartwright, Microeconomia
Milano: McGraw-Hill, VII edizione, 2017
Capitoli e paragrafi in programma:

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

Capitolo 4, La domanda individuale e la domanda di mercato, p. 93
{paragrafi: 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7}

Capitolo 5, Le applicazioni delle teorie della scelta razionale e della domanda, p. 137
{limitatamente a: paragrafo 5.7; Appendice 5}

Capitolo 9, La produzione, p. 267
{intero capitolo, inclusa Appendice 9}

Capitolo 10, I costi, p. 297
{intero capitolo, esclusa Appendice 10}

Capitolo 11, La concorrenza perfetta, p. 333
{paragrafi: 11.1, 11.2, 11.3, 11.4, 11.5, 11.6, 11.7, 11.9, 11.12, 11.13}

Capitolo 12, Il monopolio, p. 377
{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. 427
{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. 523
{paragrafi: 15.1, 15.2, 15.3, 15.4, 15.6,15.7

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.

- 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.

First Part
The theory of Financial Reporting
Introduction
The goal of Financial Reporting
Capital and Income
Traditional Italian Theories on Income and Financial Reporting
Second Part
Introduction to Italian Accounting Standards and Laws on Financial Reporting
Balance Sheet, Income Statement, Cash Flows Statements and the Notes
The objective of general purpose financial reporting: the true and fair view
The exceptions to the application of the laws
The qualitative characteristics of useful financial information
The assets and liabilities measurement:
- Plants and equipment;
- The Depreciation process;
- The Impairment process;
- Intangible Assets;
- Goodwill;
- Interests in parent companies;
- Receivables and payables (expressed in Euro and in foreign currencies);
- Stocks;
- Financial Activities and Financial Derivatives.
Third Part
Financial Reporting for listed public companies.
The International Harmonisation of Accounting Standards
The Conceptual Framework for Financial Reporting

G. ZANDA, Il bilancio delle società, Giappichelli, Torino, 2007 and the Italian Law "D.Lgs. 136/2015".

First Part
The theory of Financial Reporting
Introduction
The goal of Financial Reporting
Capital and Income
Traditional Italian Theories on Income and Financial Reporting
Second Part
Introduction to Italian Accounting Standards and Laws on Financial Reporting
Balance Sheet, Income Statement, Cash Flows Statements and the Notes
The objective of general purpose financial reporting: the true and fair view
The exceptions to the application of the laws
The qualitative characteristics of useful financial information
The assets and liabilities measurement:
- Plants and equipment;
- The Depreciation process;
- The Impairment process;
- Intangible Assets;
- Goodwill;
- Interests in parent companies;
- Receivables and payables (expressed in Euro and in foreign currencies);
- Stocks;
- Financial Activities and Financial Derivatives.
Third Part
Financial Reporting for listed public companies.
The International Harmonisation of Accounting Standards
The Conceptual Framework for Financial Reporting

G. ZANDA, Il bilancio delle società, Giappichelli, Torino, 2007 and the Italian Law "D.Lgs. 136/2015".

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 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)

LINEAR ALGEBRA.
MULTIVARIABLE CALCULUS
IMPLICIT FUNCTIONS.
QUADRATIC FORMS.
FREE AND CONSTRAINED OPTIMIZATION THEORY.
ORDINARY DIFFERENTIAL EQUATIONS.
SYSTEMS OF DIFFERENTIAL EQUATIONS.
ECONOMIC AND FINANCIAL APPLICATIONS

C. P. SIMON, L. E. BLUME, MATEMATICA 2 PER L’ECONOMIA E LE SCIENZE SOCIALI, UNIVERSITA’ BOCCONI EDITORE, 2002.

Main official statistical surveys: data production and interpretation. In particular: Consumer prices, Industrial production, Labour force, Household consumptions, Income and living conditions, Household Income and Wealth, National accounts. Main statistical indicators for economic phenomena: (simple and complex) index numbers, measures of concentration.
Calendar adjusted and seasonal adjusted time series. Chain-linked values. The use of moving averages to reconstruct the trend.
Introduction to econometrics. Single and multiple Linear Regression: ordinary least squares, goodness of fit, homoscedasticity and heteroscedasticity, nonlinear regression functions. An introduction to the use of R for statistical analysis.

Class notes. Press releases (Istat - Banca d'Italia).
Stock J.H. and Watson M.W., Introduction to Econometrics, Update, Global edition, 3rd Edition, 2014, Pearson.

The course consists of two teaching modules.
The first module concerns the general part and trade union law (Introduction to the study of labor law). The boundaries and the meaning of labor law. Historical evolution and current trends. Sources. Constitutional principles. European sources and international aspects of Trade union law. Trade union freedom and Trade Union Organization. Union rights and their protection with particular reference to art. 28 of the Workers’ Statute. The collective agreement: the structure of collective bargaining, the negotiability and effectiveness of the collective agreements at different levels, the relationship between law and collective agreement. The strike and other forms of union struggle; the strike in essential public services.
The second module concerns the employment relationship: the employment contracts (subordinate, autonomous, coordinated). The flexible contractual forms. The forms of indirect acquisition of work. The subordinate employment contract: the subjective and objective requirements. The obligations of the employer: collaboration, diligence, obedience, loyalty. The powers of the employer. The protection of the person, of dignity and freedom of workers. The prohibitions of discrimination. Worker’s rights: pay, holidays, rest, leave, right to health and safety. The content of the work performance: the tasks, the working hours. The end of the employment relationship: individual dismissals. The enterprise crisis and excess staff: earning redundancy fund, solidarity contracts, transfer of the undertaking, collective dismissals. The protection of the employer’s rights; waivers and transactions; limitation. The employment services and the worker’s protection on the labor market.

G. Santoro Passarelli, Diritto dei lavori e dell'occupazione - GIAPPICHELLI- Latest Edition

Logic and set theory:
Propositions. Logical operations with propositions. Logical implication. Sets. Operations with sets. Cartesian product. Applications. Injective and surjective applications. One-to-one correspondence. Inverse application.
Numeric numbers and sets: Natural numbers. Integer or relative numbers. Rational numbers. Real numbers and representation on the line. Bounded sets. Upper and lower extreme of sets of rational and real numbers. Intervals and neighborhoods. Accumulation, internal, isolated points. Open sets and closed sets.
Summations and products: Definition of summation. Properties. Special sums. Sum of the first n natural numbers. Arithmetic and geometric progressions and sum of their first n terms. Factorial.
Real functions of a real variable:
Definition of a real function of a real variable. The Euclidean plane and the graph of a function. Injective and surjective functions and graph. Even and odd functions. Increasing and decreasing functions. Concave and convex functions. Bounded functions. Compositin function. Inverse function, monotonicity and invertibility, inverse function graph. Elementary functions. Functions with two laws. Transforming graphs. Domain of a function.
Sequences and numerical series: Definition of a sequence. Converging and divergent sequences. Monotone sequences and regularity theorem (w.p.). Limits of sequnces. Definition of numerical series. NC for convergence (w.p.). Cauchy criterion. Geometric, Mengoli, harmonic and generalized harmonic series.
Limits: Definition of limit. Convergence and divergence. Right limit and left limit. Vertical and horizontal asymptotes. Limit uniqueness theorem (w.p.). Sign permanence theorem in direct and inverse form (w.p.). Comparison theorem. Limit checks. Operations with limits. Indeterminate forms.
Infinitesimals and infinities: Definition of infinitesimal and infinite. Comparing infinitesimals and infinities. Order of infinitesimals and infinities. Propagation of the order. Computing limits with infinitesimals and infinities (w.p.).
Continuity and discontinuity: Definition of continuity. Limits and continuity. Classification of discontinuity points. Continuity of rational functions. Continuity of the inverse. Continuity of composition functions. Theorem of zeros (w.p.). Weierstrass theorem. Darboux's theorem (w.p.).
Differential calculus: Derivative of a function. Geometric interpretation. Derivability and continuity (w.p.) Points of non-derivability. Higher order derivatives. Derivatives of elementary functions. Rules of derivation. Chain rule. Derivative of the inverse function. Differential. First order approximation (w.p.). Taylor and McLaurin polynomial. Approximations of higher order. Stationary points. Local maxima and minima. First order necessary conditions for the existence of local maxima and minima. Fermat's theorem (w.p.). Rolle's theorem (w.p.). Lagrange theorem (w.p.). Lagrange theorem,s corollaries: zero-derivative functions (w.p.). Relations between monotonicity and derivative sign (w.p.). Local concave and convex functions. Relationship between the second order derivative and the concavity (w.p.). Points of inflection. Sufficient second order conditions for the existence of relative maxima and minima (w.p.). Sufficient conditions of order n for the existence of relative maxima and minima or inflections points (w.p.). De L'Hôpital theorem and application to limit calculus.
Graph of a function: Representation of the graph of a function on the Euclidean plane. Oblique asymptotes.
Integral calculus:
Primitive functions. Indefinite integral. Characterization of the set of primitives (w.p.). Properties of the indefinite integral. Integral of elementary functions. Integration by parts (w.p.). Integration by substitution (w.p.). Definite integral. Properties of the definite integral. Integral function. Integral mean theorem(c.d.). Fundamental theorem of integral calculus (w.p.). Corollary to Torricelli-Barrow's theorem: relationship between the definite integral and the indefinite integral (w.p.). Applications.
Linear algebra:
Vectors and vector spaces. Geometric representation of vectors. Linear combination of vectors. Linearly dependent and independent vectors. Rank of a set of vectors. Matrices. Operations with matrices. Product rows by columns. Particular matrices. Transposed matrix. Determinant of a matrix of order n. Properties of the determinant. Rank of a matrix. Rank and linear independence of vectors. Systems of linear equations. Cramer's theorem. Rouché-Capelli theorem. Homogeneous systems. Parametric systems.
(w.p.) = “with proof”

Notes can be downloaded online from the course website

1. National accounting system: basic defintions and identities. Main macroeconomic indicators
2. Keynes’s theory: aggregate demand and equilibrium output
3. Keynes’s theory: money and interest
4. The IS-LM model
5. The AS-AD model
6. Inflation and unemployment
7. Macroeconomics of the European Union
8. Money: creation an control

Compulsory material:
1) Textbook: Rudiger Dornbusch, Stanley Fischer, Richard Startz, Giuseppe Canullo, Paolo Pettenati, Macroeconomia, 11a ed (2016), McGraw-Hill, ISBN 9788838615290 (check the detailed programme for precise indications)
2) Additional teaching material (lecture notes, etc, available on the website)

GENERAL CHARACTERISTICS OF CORPORATE ORGANISATIONS
First part: BUSINESS ADMINISTRATION
1) The firm as an economic entity: General characteristics of the firm. Corporate entities: legal and economic identities. Types of firms.
2) The firm in its 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 profitability. Information Systems Governance and Internal controls (overview). Planning in business (overview).
3) Corporate funding: 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
1) The accounting rationale. Nature of data to be examined. Methodologies. The corporate record-keeping system in a broad sense.
2) Accounting practice. Double-entry bookkeeping (definition). Double-entry bookkeeping applied to manufacturing companies. Bookkeeping entries for general business transactions, initiating joint-stock companies, particular 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.

First part: BUSINESS ADMINISTRATION
Paoloni M., Paoloni P. (a cura di), Introduzione ed orientamento allo studio delle aziende, Giappichelli, 2009

Second part: ACCRUAL ACCOUNTING
Paoloni M., Celli, M. (a cura di), Introduzione alla contabilità generale, CEDAM, 2012 (pp. 75-123; pp. 137-215; pp. 220-243; pp. 244-253; pp. 255-279; pp. 292-299; pp. 304-309; pp. 321-335; pp. 364-377; pp. 399-470)

For business administration and accounting exercises: Paoloni M. (a cura di), Mattei G., Paoloni N., Eserciziario di economia aziendale e contabilita’, CEDAM, 2018

Alternatively:

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

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 (2017).

Robert H. Frank e Edward Cartwright, Microeconomia
Milano: McGraw-Hill, VII edizione, 2017
Capitoli e paragrafi in programma:

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

Capitolo 4, La domanda individuale e la domanda di mercato, p. 93
{paragrafi: 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7}

Capitolo 5, Le applicazioni delle teorie della scelta razionale e della domanda, p. 137
{limitatamente a: paragrafo 5.7; Appendice 5}

Capitolo 9, La produzione, p. 267
{intero capitolo, inclusa Appendice 9}

Capitolo 10, I costi, p. 297
{intero capitolo, esclusa Appendice 10}

Capitolo 11, La concorrenza perfetta, p. 333
{paragrafi: 11.1, 11.2, 11.3, 11.4, 11.5, 11.6, 11.7, 11.9, 11.12, 11.13}

Capitolo 12, Il monopolio, p. 377
{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. 427
{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. 523
{paragrafi: 15.1, 15.2, 15.3, 15.4, 15.6,15.7

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.

- 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.

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 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)

- Public Budget Revenues: taxes, contributions, and other charges
- The economic effects of Taxes both in closed and in open economies
- A Brief History of Western Public Finances as well as changing methodologies in the analysis of public economic decisions
- Social goods
- Tax design and Tax Incidence
- The Italian Tax System

1) Di Majo A., Introduzione alla Scienza delle Finanze, Edizioni Pigreco, Roma, capitoli 1, 2, 5, 6, 7 fino al par. 7.4 incluso;
2) Bosi P., Guerra M.C., I tributi nell'economia italiana, 2017, il Mulino, Bologna, capitoli II, III, IV, V, VI, VII, VIII.WPEI(2014)6/FINAL. OECD Publishing, Paris.

a) L’evoluzione dell’attività e delle analisi di Finanza Pubblica;
b) I beni pubblici;
c) Le entrate pubbliche e relative classificazioni;
d) Gli effetti economici dei tributi in economie chiuse ed aperte;
e) Analisi economica dei tributi: tax design e tax incidence;
f) La crescita della spesa pubblica;
g) Le principali forme di prelievo nel sistema tributario italiano.

- DI MAJO A., LEZIONI DI SCIENZA DELLE FINANZE, ECIG, GENOVA 2003, CAPITOLI I, II, III E V.
- DI MAJO A., QUADERNI DI APPUNTI DI SCIENZA DELLE FINANZE, EDIZIONI PIGRECO, ROMA 2005, CAPITOLO VI
- DI MAJO A., QUADERNI DI APPUNTI DI SCIENZA DELLE FINANZE, EDIZIONI PIGRECO, ROMA 2005, CAPITOLO VII
- BOSI P., GUERRA M.C., I TRIBUTI NELL’ECONOMIA ITALIANA, IL MULINO, BOLOGNA EDIZIONE 2010 (ESCLUSO IL CAPITOLO 10).

Logic and set theory:
Propositions. Logical operations with propositions. Logical implication. Sets. Operations with sets. Cartesian product. Applications. Injective and surjective applications. One-to-one correspondence. Inverse application.
Numeric numbers and sets: Natural numbers. Integer or relative numbers. Rational numbers. Real numbers and representation on the line. Bounded sets. Upper and lower extreme of sets of rational and real numbers. Intervals and neighborhoods. Accumulation, internal, isolated points. Open sets and closed sets.
Summations and products: Definition of summation. Properties. Special sums. Sum of the first n natural numbers. Arithmetic and geometric progressions and sum of their first n terms. Factorial.
Real functions of a real variable:
Definition of a real function of a real variable. The Euclidean plane and the graph of a function. Injective and surjective functions and graph. Even and odd functions. Increasing and decreasing functions. Concave and convex functions. Bounded functions. Compositin function. Inverse function, monotonicity and invertibility, inverse function graph. Elementary functions. Functions with two laws. Transforming graphs. Domain of a function.
Sequences and numerical series: Definition of a sequence. Converging and divergent sequences. Monotone sequences and regularity theorem (w.p.). Limits of sequnces. Definition of numerical series. NC for convergence (w.p.). Cauchy criterion. Geometric, Mengoli, harmonic and generalized harmonic series.
Limits: Definition of limit. Convergence and divergence. Right limit and left limit. Vertical and horizontal asymptotes. Limit uniqueness theorem (w.p.). Sign permanence theorem in direct and inverse form (w.p.). Comparison theorem. Limit checks. Operations with limits. Indeterminate forms.
Infinitesimals and infinities: Definition of infinitesimal and infinite. Comparing infinitesimals and infinities. Order of infinitesimals and infinities. Propagation of the order. Computing limits with infinitesimals and infinities (w.p.).
Continuity and discontinuity: Definition of continuity. Limits and continuity. Classification of discontinuity points. Continuity of rational functions. Continuity of the inverse. Continuity of composition functions. Theorem of zeros (w.p.). Weierstrass theorem. Darboux's theorem (w.p.).
Differential calculus: Derivative of a function. Geometric interpretation. Derivability and continuity (w.p.) Points of non-derivability. Higher order derivatives. Derivatives of elementary functions. Rules of derivation. Chain rule. Derivative of the inverse function. Differential. First order approximation (w.p.). Taylor and McLaurin polynomial. Approximations of higher order. Stationary points. Local maxima and minima. First order necessary conditions for the existence of local maxima and minima. Fermat's theorem (w.p.). Rolle's theorem (w.p.). Lagrange theorem (w.p.). Lagrange theorem,s corollaries: zero-derivative functions (w.p.). Relations between monotonicity and derivative sign (w.p.). Local concave and convex functions. Relationship between the second order derivative and the concavity (w.p.). Points of inflection. Sufficient second order conditions for the existence of relative maxima and minima (w.p.). Sufficient conditions of order n for the existence of relative maxima and minima or inflections points (w.p.). De L'Hôpital theorem and application to limit calculus.
Graph of a function: Representation of the graph of a function on the Euclidean plane. Oblique asymptotes.
Integral calculus:
Primitive functions. Indefinite integral. Characterization of the set of primitives (w.p.). Properties of the indefinite integral. Integral of elementary functions. Integration by parts (w.p.). Integration by substitution (w.p.). Definite integral. Properties of the definite integral. Integral function. Integral mean theorem(c.d.). Fundamental theorem of integral calculus (w.p.). Corollary to Torricelli-Barrow's theorem: relationship between the definite integral and the indefinite integral (w.p.). Applications.
Linear algebra:
Vectors and vector spaces. Geometric representation of vectors. Linear combination of vectors. Linearly dependent and independent vectors. Rank of a set of vectors. Matrices. Operations with matrices. Product rows by columns. Particular matrices. Transposed matrix. Determinant of a matrix of order n. Properties of the determinant. Rank of a matrix. Rank and linear independence of vectors. Systems of linear equations. Cramer's theorem. Rouché-Capelli theorem. Homogeneous systems. Parametric systems.
(w.p.) = “with proof”

Notes can be downloaded online from the course website

1. National accounting system: basic defintions and identities. Main macroeconomic indicators
2. Keynes’s theory: aggregate demand and equilibrium output
3. Keynes’s theory: money and interest
4. The IS-LM model
5. The AS-AD model
6. Inflation and unemployment
7. Macroeconomics of the European Union
8. Money: creation an control

Compulsory material:
1) Textbook: Rudiger Dornbusch, Stanley Fischer, Richard Startz, Giuseppe Canullo, Paolo Pettenati, Macroeconomia, 11a ed (2016), McGraw-Hill, ISBN 9788838615290 (check the detailed programme for precise indications)
2) Additional teaching material (lecture notes, etc, available on the website)

GENERAL CHARACTERISTICS OF CORPORATE ORGANISATIONS
First part: BUSINESS ADMINISTRATION
1) The firm as an economic entity: General characteristics of the firm. Corporate entities: legal and economic identities. Types of firms.
2) The firm in its 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 profitability. Information Systems Governance and Internal controls (overview). Planning in business (overview).
3) Corporate funding: 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
1) The accounting rationale. Nature of data to be examined. Methodologies. The corporate record-keeping system in a broad sense.
2) Accounting practice. Double-entry bookkeeping (definition). Double-entry bookkeeping applied to manufacturing companies. Bookkeeping entries for general business transactions, initiating joint-stock companies, particular 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.

First part: BUSINESS ADMINISTRATION
Paoloni M., Paoloni P. (a cura di), Introduzione ed orientamento allo studio delle aziende, Giappichelli, 2009

Second part: ACCRUAL ACCOUNTING
Paoloni M., Celli, M. (a cura di), Introduzione alla contabilità generale, CEDAM, 2012 (pp. 75-123; pp. 137-215; pp. 220-243; pp. 244-253; pp. 255-279; pp. 292-299; pp. 304-309; pp. 321-335; pp. 364-377; pp. 399-470)

For business administration and accounting exercises: Paoloni M. (a cura di), Mattei G., Paoloni N., Eserciziario di economia aziendale e contabilita’, CEDAM, 2018

Alternatively:

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

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 (2017).

Robert H. Frank e Edward Cartwright, Microeconomia
Milano: McGraw-Hill, VII edizione, 2017
Capitoli e paragrafi in programma:

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

Capitolo 4, La domanda individuale e la domanda di mercato, p. 93
{paragrafi: 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7}

Capitolo 5, Le applicazioni delle teorie della scelta razionale e della domanda, p. 137
{limitatamente a: paragrafo 5.7; Appendice 5}

Capitolo 9, La produzione, p. 267
{intero capitolo, inclusa Appendice 9}

Capitolo 10, I costi, p. 297
{intero capitolo, esclusa Appendice 10}

Capitolo 11, La concorrenza perfetta, p. 333
{paragrafi: 11.1, 11.2, 11.3, 11.4, 11.5, 11.6, 11.7, 11.9, 11.12, 11.13}

Capitolo 12, Il monopolio, p. 377
{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. 427
{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. 523
{paragrafi: 15.1, 15.2, 15.3, 15.4, 15.6,15.7

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.

- 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.

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 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)

- Public Budget Revenues: taxes, contributions, and other charges
- The economic effects of Taxes both in closed and in open economies
- A Brief History of Western Public Finances as well as changing methodologies in the analysis of public economic decisions
- Social goods
- Tax design and Tax Incidence
- The Italian Tax System

1) Di Majo A., Introduzione alla Scienza delle Finanze, Edizioni Pigreco, Roma, capitoli 1, 2, 5, 6, 7 fino al par. 7.4 incluso;
2) Bosi P., Guerra M.C., I tributi nell'economia italiana, 2017, il Mulino, Bologna, capitoli II, III, IV, V, VI, VII, VIII.WPEI(2014)6/FINAL. OECD Publishing, Paris.

a) L’evoluzione dell’attività e delle analisi di Finanza Pubblica;
b) I beni pubblici;
c) Le entrate pubbliche e relative classificazioni;
d) Gli effetti economici dei tributi in economie chiuse ed aperte;
e) Analisi economica dei tributi: tax design e tax incidence;
f) La crescita della spesa pubblica;
g) Le principali forme di prelievo nel sistema tributario italiano.

- DI MAJO A., LEZIONI DI SCIENZA DELLE FINANZE, ECIG, GENOVA 2003, CAPITOLI I, II, III E V.
- DI MAJO A., QUADERNI DI APPUNTI DI SCIENZA DELLE FINANZE, EDIZIONI PIGRECO, ROMA 2005, CAPITOLO VI
- DI MAJO A., QUADERNI DI APPUNTI DI SCIENZA DELLE FINANZE, EDIZIONI PIGRECO, ROMA 2005, CAPITOLO VII
- BOSI P., GUERRA M.C., I TRIBUTI NELL’ECONOMIA ITALIANA, IL MULINO, BOLOGNA EDIZIONE 2010 (ESCLUSO IL CAPITOLO 10).

LINEAR ALGEBRA.
MULTIVARIABLE CALCULUS
IMPLICIT FUNCTIONS.
QUADRATIC FORMS.
FREE AND CONSTRAINED OPTIMIZATION THEORY.
ORDINARY DIFFERENTIAL EQUATIONS.
SYSTEMS OF DIFFERENTIAL EQUATIONS.
ECONOMIC AND FINANCIAL APPLICATIONS

C. P. SIMON, L. E. BLUME, MATEMATICA 2 PER L’ECONOMIA E LE SCIENZE SOCIALI, UNIVERSITA’ BOCCONI EDITORE, 2002.

Introduction
The basic macroeconomic relationships
IS-LM model
Fiscal and monetary policies
Limits of macroeconomic stabilization policies
The Phillips curve and disinflationary policies
The labour market: unemployment and employment policy
Open economy: trade balance, exchange rates, Mundell-Fleming model
Growth policy
Fiscal and monetary policies in the Eurozone

MARELLI, SIGNORELLI, POLITICA ECONOMICA, GIAPPICHELLI, TORINO

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 (2017) 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.

The course analyzes the main characteristics of business management and it is divided into didactic modules.
Themes related to enterprises and entrepreneurial aims (The enterprise and its role; The enterprise and its environment )are studied in depth in the first module. Business strategies and business development paths (Business strategy management; Competitive strategies and market analysis models; business development strategies) are analyzed in the second module. In the third module business functions and business operations management, with reference in particular to management techniques and assessment techniques of business efficiency (Production; Finance; Marketing; Management techniques and applications) are studied in depth.

Sciarelli S., (2017) La gestione dell'impresa. Tra teoria e pratica aziendale, CEDAM;
Additional compulsory didactic material will be published on the course web page of the “Dipartimento di Economia Aziendale” website.

Main official statistical surveys: data production and interpretation. In particular: Consumer prices, Industrial production, Labour force, Household consumptions, Income and living conditions, Household Income and Wealth, National accounts. Main statistical indicators for economic phenomena: (simple and complex) index numbers, measures of concentration.
Calendar adjusted and seasonal adjusted time series. Chain-linked values. The use of moving averages to reconstruct the trend.
Introduction to econometrics. Single and multiple Linear Regression: ordinary least squares, goodness of fit, homoscedasticity and heteroscedasticity, nonlinear regression functions. An introduction to the use of R for statistical analysis.

Class notes. Press releases (Istat - Banca d'Italia).
Stock J.H. and Watson M.W., Introduction to Econometrics, Update, Global edition, 3rd Edition, 2014, Pearson.

Logic and set theory:
Propositions. Logical operations with propositions. Logical implication. Sets. Operations with sets. Cartesian product. Applications. Injective and surjective applications. One-to-one correspondence. Inverse application.
Numeric numbers and sets: Natural numbers. Integer or relative numbers. Rational numbers. Real numbers and representation on the line. Bounded sets. Upper and lower extreme of sets of rational and real numbers. Intervals and neighborhoods. Accumulation, internal, isolated points. Open sets and closed sets.
Summations and products: Definition of summation. Properties. Special sums. Sum of the first n natural numbers. Arithmetic and geometric progressions and sum of their first n terms. Factorial.
Real functions of a real variable:
Definition of a real function of a real variable. The Euclidean plane and the graph of a function. Injective and surjective functions and graph. Even and odd functions. Increasing and decreasing functions. Concave and convex functions. Bounded functions. Compositin function. Inverse function, monotonicity and invertibility, inverse function graph. Elementary functions. Functions with two laws. Transforming graphs. Domain of a function.
Sequences and numerical series: Definition of a sequence. Converging and divergent sequences. Monotone sequences and regularity theorem (w.p.). Limits of sequnces. Definition of numerical series. NC for convergence (w.p.). Cauchy criterion. Geometric, Mengoli, harmonic and generalized harmonic series.
Limits: Definition of limit. Convergence and divergence. Right limit and left limit. Vertical and horizontal asymptotes. Limit uniqueness theorem (w.p.). Sign permanence theorem in direct and inverse form (w.p.). Comparison theorem. Limit checks. Operations with limits. Indeterminate forms.
Infinitesimals and infinities: Definition of infinitesimal and infinite. Comparing infinitesimals and infinities. Order of infinitesimals and infinities. Propagation of the order. Computing limits with infinitesimals and infinities (w.p.).
Continuity and discontinuity: Definition of continuity. Limits and continuity. Classification of discontinuity points. Continuity of rational functions. Continuity of the inverse. Continuity of composition functions. Theorem of zeros (w.p.). Weierstrass theorem. Darboux's theorem (w.p.).
Differential calculus: Derivative of a function. Geometric interpretation. Derivability and continuity (w.p.) Points of non-derivability. Higher order derivatives. Derivatives of elementary functions. Rules of derivation. Chain rule. Derivative of the inverse function. Differential. First order approximation (w.p.). Taylor and McLaurin polynomial. Approximations of higher order. Stationary points. Local maxima and minima. First order necessary conditions for the existence of local maxima and minima. Fermat's theorem (w.p.). Rolle's theorem (w.p.). Lagrange theorem (w.p.). Lagrange theorem,s corollaries: zero-derivative functions (w.p.). Relations between monotonicity and derivative sign (w.p.). Local concave and convex functions. Relationship between the second order derivative and the concavity (w.p.). Points of inflection. Sufficient second order conditions for the existence of relative maxima and minima (w.p.). Sufficient conditions of order n for the existence of relative maxima and minima or inflections points (w.p.). De L'Hôpital theorem and application to limit calculus.
Graph of a function: Representation of the graph of a function on the Euclidean plane. Oblique asymptotes.
Integral calculus:
Primitive functions. Indefinite integral. Characterization of the set of primitives (w.p.). Properties of the indefinite integral. Integral of elementary functions. Integration by parts (w.p.). Integration by substitution (w.p.). Definite integral. Properties of the definite integral. Integral function. Integral mean theorem(c.d.). Fundamental theorem of integral calculus (w.p.). Corollary to Torricelli-Barrow's theorem: relationship between the definite integral and the indefinite integral (w.p.). Applications.
Linear algebra:
Vectors and vector spaces. Geometric representation of vectors. Linear combination of vectors. Linearly dependent and independent vectors. Rank of a set of vectors. Matrices. Operations with matrices. Product rows by columns. Particular matrices. Transposed matrix. Determinant of a matrix of order n. Properties of the determinant. Rank of a matrix. Rank and linear independence of vectors. Systems of linear equations. Cramer's theorem. Rouché-Capelli theorem. Homogeneous systems. Parametric systems.
(w.p.) = “with proof”

Notes can be downloaded online from the course website

1. National accounting system: basic defintions and identities. Main macroeconomic indicators
2. Keynes’s theory: aggregate demand and equilibrium output
3. Keynes’s theory: money and interest
4. The IS-LM model
5. The AS-AD model
6. Inflation and unemployment
7. Macroeconomics of the European Union
8. Money: creation an control

Compulsory material:
1) Textbook: Rudiger Dornbusch, Stanley Fischer, Richard Startz, Giuseppe Canullo, Paolo Pettenati, Macroeconomia, 11a ed (2016), McGraw-Hill, ISBN 9788838615290 (check the detailed programme for precise indications)
2) Additional teaching material (lecture notes, etc, available on the website)

GENERAL CHARACTERISTICS OF CORPORATE ORGANISATIONS
First part: BUSINESS ADMINISTRATION
1) The firm as an economic entity: General characteristics of the firm. Corporate entities: legal and economic identities. Types of firms.
2) The firm in its 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 profitability. Information Systems Governance and Internal controls (overview). Planning in business (overview).
3) Corporate funding: 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
1) The accounting rationale. Nature of data to be examined. Methodologies. The corporate record-keeping system in a broad sense.
2) Accounting practice. Double-entry bookkeeping (definition). Double-entry bookkeeping applied to manufacturing companies. Bookkeeping entries for general business transactions, initiating joint-stock companies, particular 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.

First part: BUSINESS ADMINISTRATION
Paoloni M., Paoloni P. (a cura di), Introduzione ed orientamento allo studio delle aziende, Giappichelli, 2009

Second part: ACCRUAL ACCOUNTING
Paoloni M., Celli, M. (a cura di), Introduzione alla contabilità generale, CEDAM, 2012 (pp. 75-123; pp. 137-215; pp. 220-243; pp. 244-253; pp. 255-279; pp. 292-299; pp. 304-309; pp. 321-335; pp. 364-377; pp. 399-470)

For business administration and accounting exercises: Paoloni M. (a cura di), Mattei G., Paoloni N., Eserciziario di economia aziendale e contabilita’, CEDAM, 2018

Alternatively:

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

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 (2017).

Robert H. Frank e Edward Cartwright, Microeconomia
Milano: McGraw-Hill, VII edizione, 2017
Capitoli e paragrafi in programma:

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

Capitolo 4, La domanda individuale e la domanda di mercato, p. 93
{paragrafi: 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7}

Capitolo 5, Le applicazioni delle teorie della scelta razionale e della domanda, p. 137
{limitatamente a: paragrafo 5.7; Appendice 5}

Capitolo 9, La produzione, p. 267
{intero capitolo, inclusa Appendice 9}

Capitolo 10, I costi, p. 297
{intero capitolo, esclusa Appendice 10}

Capitolo 11, La concorrenza perfetta, p. 333
{paragrafi: 11.1, 11.2, 11.3, 11.4, 11.5, 11.6, 11.7, 11.9, 11.12, 11.13}

Capitolo 12, Il monopolio, p. 377
{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. 427
{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. 523
{paragrafi: 15.1, 15.2, 15.3, 15.4, 15.6,15.7

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.

- 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.

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 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)

- Public Budget Revenues: taxes, contributions, and other charges
- The economic effects of Taxes both in closed and in open economies
- A Brief History of Western Public Finances as well as changing methodologies in the analysis of public economic decisions
- Social goods
- Tax design and Tax Incidence
- The Italian Tax System

1) Di Majo A., Introduzione alla Scienza delle Finanze, Edizioni Pigreco, Roma, capitoli 1, 2, 5, 6, 7 fino al par. 7.4 incluso;
2) Bosi P., Guerra M.C., I tributi nell'economia italiana, 2017, il Mulino, Bologna, capitoli II, III, IV, V, VI, VII, VIII.WPEI(2014)6/FINAL. OECD Publishing, Paris.

a) L’evoluzione dell’attività e delle analisi di Finanza Pubblica;
b) I beni pubblici;
c) Le entrate pubbliche e relative classificazioni;
d) Gli effetti economici dei tributi in economie chiuse ed aperte;
e) Analisi economica dei tributi: tax design e tax incidence;
f) La crescita della spesa pubblica;
g) Le principali forme di prelievo nel sistema tributario italiano.

- DI MAJO A., LEZIONI DI SCIENZA DELLE FINANZE, ECIG, GENOVA 2003, CAPITOLI I, II, III E V.
- DI MAJO A., QUADERNI DI APPUNTI DI SCIENZA DELLE FINANZE, EDIZIONI PIGRECO, ROMA 2005, CAPITOLO VI
- DI MAJO A., QUADERNI DI APPUNTI DI SCIENZA DELLE FINANZE, EDIZIONI PIGRECO, ROMA 2005, CAPITOLO VII
- BOSI P., GUERRA M.C., I TRIBUTI NELL’ECONOMIA ITALIANA, IL MULINO, BOLOGNA EDIZIONE 2010 (ESCLUSO IL CAPITOLO 10).

LINEAR ALGEBRA.
MULTIVARIABLE CALCULUS
IMPLICIT FUNCTIONS.
QUADRATIC FORMS.
FREE AND CONSTRAINED OPTIMIZATION THEORY.
ORDINARY DIFFERENTIAL EQUATIONS.
SYSTEMS OF DIFFERENTIAL EQUATIONS.
ECONOMIC AND FINANCIAL APPLICATIONS

C. P. SIMON, L. E. BLUME, MATEMATICA 2 PER L’ECONOMIA E LE SCIENZE SOCIALI, UNIVERSITA’ BOCCONI EDITORE, 2002.

Introduction
The basic macroeconomic relationships
IS-LM model
Fiscal and monetary policies
Limits of macroeconomic stabilization policies
The Phillips curve and disinflationary policies
The labour market: unemployment and employment policy
Open economy: trade balance, exchange rates, Mundell-Fleming model
Growth policy
Fiscal and monetary policies in the Eurozone

MARELLI, SIGNORELLI, POLITICA ECONOMICA, GIAPPICHELLI, TORINO

Main official statistical surveys: data production and interpretation. In particular: Consumer prices, Industrial production, Labour force, Household consumptions, Income and living conditions, Household Income and Wealth, National accounts. Main statistical indicators for economic phenomena: (simple and complex) index numbers, measures of concentration.
Calendar adjusted and seasonal adjusted time series. Chain-linked values. The use of moving averages to reconstruct the trend.
Introduction to econometrics. Single and multiple Linear Regression: ordinary least squares, goodness of fit, homoscedasticity and heteroscedasticity, nonlinear regression functions. An introduction to the use of R for statistical analysis.

Class notes. Press releases (Istat - Banca d'Italia).
Stock J.H. and Watson M.W., Introduction to Econometrics, Update, Global edition, 3rd Edition, 2014, Pearson.

Birth of Marginalism: Jevons and Menger: utility as the foundation of the value of goods; Walras: the system of general economic equilibrium; difficulties connected with the treatment of capital.
Alfred Marshall: specific aspects of Marshall's value theory; claim to continuity with Ricardo's theory.
Spreading marginalism and alternative lines of thought (mention). Development of the marginalist approach between the end of the 19th century and the first part of the 20th century. Two fundamental break points of the prevalence of marginalism: Keynes and Sraffa.
Walras' social-political conceptions: distributive equity and social justice; Walras' criticism of Marx's value theory.
Ricardo's 'macroeconomics': level of social product and Say's law; quantitative theory of money; public debt and taxation.

1. Appunti sulla teoria della distribuzione e del valore negli economisti classici (limited to chaps. 2-6, pp. 7-62), available at the copyshop "Copyando", via Osiense 457/d, Roma;
2. R. Ciccone, Materiale didattico per il corso di Storia del Pensiero Economico, available at the copyshop "Copyando", via Ostiense 457/d, Roma.

1. Social surplus, value and distribution in the classical approach: Quesnay, Smith, Ricardo, Marx.

2. Political economy after Ricardo: the "Ricardian socialists", the critics of Ricardo, Ricardo's disciples; John Stuart Mill.

Appunti sulla teoria della distribuzione e del valore negli economisti classici (only chapters 2-6, pp. 7-62), available at the copy shop "Copyando", via Osiense 457/d, Roma;

Materiale didattico per il corso di Storia del Pensiero Economico a cura del prof. R. Ciccone, available at the copy shop "Copyando", via Osiense 457/d, Roma.

MODULE 2:
IV. THE DETERMINATION OF OUTPUT IN THE TWO THEORETICAL APPROACHES
V. KEYNES’S GENERAL THEORY.
VI. THE NEOCLASSICAL SYNTHESIS AND THE IMPAIRMENT OF THE KEYNESIAN REVOLUTION

All didactic material will be either given or indicated to students at the beginning of the course. Students may contact the professor at any point of the course

INTRODUCTION
1. Theories of value and distribution: the different theoretical approaches. The connections with the theory of production. Outlines of the surplus approach

I. THE MARGINALIST THEORY: DETERMINATION
OF VALUE IN PURE EXCHANGE EQUILIBRIUM

2. Marginal utility. Individual equilibrium.
3. Individual supply and demand curves (independent and non-independent goods).
4. Collective supply and demand curves. General equilibrium (graphic study): existence; stability; uniqueness/multiplicity.
5. Equations of general equilibrium (2 goods, m individuals; specialization and general case). Walras' law.
6. Possible 'exceptions': superabundance and free goods (or non-existence of equilibrium?); increasing demand curve and instability.

II. THE MARGINALIST THEORY: VALUE AND DISTRIBUTION
IN THE CASE OF PRODUCTION WITHOUT CAPITAL
7. Marginal utility and supply curves of the factors. Indirect substitutability and factor demand curves.
8. Income distribution and price of commodities (supply curves for commodities). Equations of general equilibrium in the case of production with fixed coefficients. Walras' law.
9. The problem of the existence of equilibrium under the hypothesis of fixed coefficients. The hypothesis of variable coefficients: marginal productivity.
10. The problem of product exhaustion.
11. The marginalist theory and the notion of substitutability (plausibility of the notion and its role within the theory). The simultaneous determination of prices and quantities.

III. THE MARGINALIST THEORY: VALUE AND DISTRIBUTION
IN THE CASE OF PRODUCTION WITH CAPITAL

12. Production with capital: the problem of the variability of coefficients; the condition of uniformity of the profit rate.
13. The treatment of capital as a complex of quantities and the absence of a uniform profit rate.
14. The treatment of capital as a single quantity: capital as a sum of value. Problems on the supply side. Problems on the demand side.

Lezioni sulla teoria neoclassica (handouts)

Logic and set theory:
Propositions. Logical operations with propositions. Logical implication. Sets. Operations with sets. Cartesian product. Applications. Injective and surjective applications. One-to-one correspondence. Inverse application.
Numeric numbers and sets: Natural numbers. Integer or relative numbers. Rational numbers. Real numbers and representation on the line. Bounded sets. Upper and lower extreme of sets of rational and real numbers. Intervals and neighborhoods. Accumulation, internal, isolated points. Open sets and closed sets.
Summations and products: Definition of summation. Properties. Special sums. Sum of the first n natural numbers. Arithmetic and geometric progressions and sum of their first n terms. Factorial.
Real functions of a real variable:
Definition of a real function of a real variable. The Euclidean plane and the graph of a function. Injective and surjective functions and graph. Even and odd functions. Increasing and decreasing functions. Concave and convex functions. Bounded functions. Compositin function. Inverse function, monotonicity and invertibility, inverse function graph. Elementary functions. Functions with two laws. Transforming graphs. Domain of a function.
Sequences and numerical series: Definition of a sequence. Converging and divergent sequences. Monotone sequences and regularity theorem (w.p.). Limits of sequnces. Definition of numerical series. NC for convergence (w.p.). Cauchy criterion. Geometric, Mengoli, harmonic and generalized harmonic series.
Limits: Definition of limit. Convergence and divergence. Right limit and left limit. Vertical and horizontal asymptotes. Limit uniqueness theorem (w.p.). Sign permanence theorem in direct and inverse form (w.p.). Comparison theorem. Limit checks. Operations with limits. Indeterminate forms.
Infinitesimals and infinities: Definition of infinitesimal and infinite. Comparing infinitesimals and infinities. Order of infinitesimals and infinities. Propagation of the order. Computing limits with infinitesimals and infinities (w.p.).
Continuity and discontinuity: Definition of continuity. Limits and continuity. Classification of discontinuity points. Continuity of rational functions. Continuity of the inverse. Continuity of composition functions. Theorem of zeros (w.p.). Weierstrass theorem. Darboux's theorem (w.p.).
Differential calculus: Derivative of a function. Geometric interpretation. Derivability and continuity (w.p.) Points of non-derivability. Higher order derivatives. Derivatives of elementary functions. Rules of derivation. Chain rule. Derivative of the inverse function. Differential. First order approximation (w.p.). Taylor and McLaurin polynomial. Approximations of higher order. Stationary points. Local maxima and minima. First order necessary conditions for the existence of local maxima and minima. Fermat's theorem (w.p.). Rolle's theorem (w.p.). Lagrange theorem (w.p.). Lagrange theorem,s corollaries: zero-derivative functions (w.p.). Relations between monotonicity and derivative sign (w.p.). Local concave and convex functions. Relationship between the second order derivative and the concavity (w.p.). Points of inflection. Sufficient second order conditions for the existence of relative maxima and minima (w.p.). Sufficient conditions of order n for the existence of relative maxima and minima or inflections points (w.p.). De L'Hôpital theorem and application to limit calculus.
Graph of a function: Representation of the graph of a function on the Euclidean plane. Oblique asymptotes.
Integral calculus:
Primitive functions. Indefinite integral. Characterization of the set of primitives (w.p.). Properties of the indefinite integral. Integral of elementary functions. Integration by parts (w.p.). Integration by substitution (w.p.). Definite integral. Properties of the definite integral. Integral function. Integral mean theorem(c.d.). Fundamental theorem of integral calculus (w.p.). Corollary to Torricelli-Barrow's theorem: relationship between the definite integral and the indefinite integral (w.p.). Applications.
Linear algebra:
Vectors and vector spaces. Geometric representation of vectors. Linear combination of vectors. Linearly dependent and independent vectors. Rank of a set of vectors. Matrices. Operations with matrices. Product rows by columns. Particular matrices. Transposed matrix. Determinant of a matrix of order n. Properties of the determinant. Rank of a matrix. Rank and linear independence of vectors. Systems of linear equations. Cramer's theorem. Rouché-Capelli theorem. Homogeneous systems. Parametric systems.
(w.p.) = “with proof”

Notes can be downloaded online from the course website

1. National accounting system: basic defintions and identities. Main macroeconomic indicators
2. Keynes’s theory: aggregate demand and equilibrium output
3. Keynes’s theory: money and interest
4. The IS-LM model
5. The AS-AD model
6. Inflation and unemployment
7. Macroeconomics of the European Union
8. Money: creation an control

Compulsory material:
1) Textbook: Rudiger Dornbusch, Stanley Fischer, Richard Startz, Giuseppe Canullo, Paolo Pettenati, Macroeconomia, 11a ed (2016), McGraw-Hill, ISBN 9788838615290 (check the detailed programme for precise indications)
2) Additional teaching material (lecture notes, etc, available on the website)

GENERAL CHARACTERISTICS OF CORPORATE ORGANISATIONS
First part: BUSINESS ADMINISTRATION
1) The firm as an economic entity: General characteristics of the firm. Corporate entities: legal and economic identities. Types of firms.
2) The firm in its 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 profitability. Information Systems Governance and Internal controls (overview). Planning in business (overview).
3) Corporate funding: 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
1) The accounting rationale. Nature of data to be examined. Methodologies. The corporate record-keeping system in a broad sense.
2) Accounting practice. Double-entry bookkeeping (definition). Double-entry bookkeeping applied to manufacturing companies. Bookkeeping entries for general business transactions, initiating joint-stock companies, particular 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.

First part: BUSINESS ADMINISTRATION
Paoloni M., Paoloni P. (a cura di), Introduzione ed orientamento allo studio delle aziende, Giappichelli, 2009

Second part: ACCRUAL ACCOUNTING
Paoloni M., Celli, M. (a cura di), Introduzione alla contabilità generale, CEDAM, 2012 (pp. 75-123; pp. 137-215; pp. 220-243; pp. 244-253; pp. 255-279; pp. 292-299; pp. 304-309; pp. 321-335; pp. 364-377; pp. 399-470)

For business administration and accounting exercises: Paoloni M. (a cura di), Mattei G., Paoloni N., Eserciziario di economia aziendale e contabilita’, CEDAM, 2018

Alternatively:

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

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 (2017).

Robert H. Frank e Edward Cartwright, Microeconomia
Milano: McGraw-Hill, VII edizione, 2017
Capitoli e paragrafi in programma:

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

Capitolo 4, La domanda individuale e la domanda di mercato, p. 93
{paragrafi: 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7}

Capitolo 5, Le applicazioni delle teorie della scelta razionale e della domanda, p. 137
{limitatamente a: paragrafo 5.7; Appendice 5}

Capitolo 9, La produzione, p. 267
{intero capitolo, inclusa Appendice 9}

Capitolo 10, I costi, p. 297
{intero capitolo, esclusa Appendice 10}

Capitolo 11, La concorrenza perfetta, p. 333
{paragrafi: 11.1, 11.2, 11.3, 11.4, 11.5, 11.6, 11.7, 11.9, 11.12, 11.13}

Capitolo 12, Il monopolio, p. 377
{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. 427
{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. 523
{paragrafi: 15.1, 15.2, 15.3, 15.4, 15.6,15.7

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.

- 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.

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 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, also considering the role of regulation and supervision.
1. Real economy, financial system and financial intermediation
2. Theory of financial intermediation
3. Financial instruments
4. Financial markets
5. Banking
6. Investment services and asset management
7. Insurance
8. Payment systems
9. Risks in financial intermediation
10. Regulation and supervision
11. Monetary policy

Mishkin F.S., Eakins S.G. (2014), Financial Markets and Institutions, eighth edition, Pearson.

1. Financial system and financial intermediation
2. Theory of financial intermediation
3. Risks in financial intermediation
4. Financial instruments
5. Financial markets
6. Banking
7. Investment services and asset management
8. Insurance
9. Regulation
10. Re-regulation and supervision
11. Monetary policy
12. Payment systems

Nadotti, Porzio, Previati. Economia degli intermediari finanziari. McGraw-Hill, ultima edizione

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 main 15 topics of the course are:
1. Firm typologies, ownership-control separation, stock markets
2. Financial decisions and financial statements
3. Fisher theorem on separation between investment-consumption. The unique price rule: financial decisions and arbitrage
4. Time value of money, rates of interests and opportunity cost of capital
5. Basics of capital budgeting: the relevant cash flows, DCF methods, other methods to assess the convenience of real investments
6. Methods for stock evaluation
7. How to measure risk and risk pricing in capital markets
8. Mean-variance models, portfolio diversification theory and risk-return relationship
9. Capital Asset Pricing Model (CAPM), beta and costo of capital of investments and firms
10. Capital structure and implications on firm value. The capital structure choice in efficient markets (Modigliani&Miller theory)
11. Debt and taxes
12. Bankruptcy costs, agency costs and benefits and information asimmetrie: theory and empirical findings on their effects on capital structure choice
13. The capital structure of the Italian firms: international comparisons
14. Capital budgeting in levered firms: WACC and APV
15. Interaction between investments and financial decisions: how to assess the investment projects in different financing policies

- Berk J. - DeMarzo P., Finanza aziendale 1 – I fondamenti, Pearson, 2018, fourth edition, Ch.1, 2, 3 (Appendix included), 4 (Appendix included), 5 (Appendix excluded), 7 (Appendix included), 8 (§ 8.5 excluded), 9 (Appendix included), 10, 11 (Appendix excluded), 12 (§ 12.4 excluded, but Appendix included), 14, 15, 16, 18 (§ 18.4 excluded, but Appendix included).
- in addition, slides, notes, exercises, cases, data and other teaching materials provided from the teacher on the course website (the requested passwords are provided). The program includes the exercises/problems and other materials at the end of textbook chapters or downloadable from both course and textbook websites.

First Module (30 hours)
1. Money, monetary institutions and the financial markets
2. The demand for money
3. The supply of money and the debate on its endogeneity
4. The equilibrium of the financial sector
5. The structure of the interest rates

Second Module (30 hours)
6. Money, prices and output
7. The transmission channels of the monetary policies
8. The Gibson Paradox
9. Rules and discretion
10. Money and public finance

M. Arcelli, L’economia monetaria e la politica monetaria dell’Unione Europea, Cedam, 2007
R. Ciccone, “Public Debt and Aggregate Demand: Some Unconventional Analytics”, in E.S. Levrero, A. Palumbo and A. Stirati (eds), Sraffa and the Reconstruction of Economic Theory: volume 2. Aggregate Demand, Policy Analysis and Growth, Palgrave Macmillan, 2013, pp. 15-28 (Module 2)
A. Lavoie, Post-Keynesian Economics: New Foundations, Edward Elgar, 2014, pp. 186-225 and 245-252 (Module 1)
M. Pivetti, “Interest and profits in Smith, Ricardo and Marx”, Political Economy. Studies in the surplus approach, 3, 1, 1987, pp. 63-74 (Module 2)
M. Vernengo, Money and inflation, in P. Arestis and M. Sawyer, A Handbook of Alternative Monetary Economics, Edward Elgar, 2006, pp. 476-489 (Module 1 and 2)
C. E. Walsh, “Teaching Inflation Targeting: An Analysis for Intermediate Macro”, Journal of Economic Education, Fall 2002, pp. 333-346 (Module 2).

Main official statistical surveys: data production and interpretation. In particular: Consumer prices, Industrial production, Labour force, Household consumptions, Income and living conditions, Household Income and Wealth, National accounts. Main statistical indicators for economic phenomena: (simple and complex) index numbers, measures of concentration.
Calendar adjusted and seasonal adjusted time series. Chain-linked values. The use of moving averages to reconstruct the trend.
Introduction to econometrics. Single and multiple Linear Regression: ordinary least squares, goodness of fit, homoscedasticity and heteroscedasticity, nonlinear regression functions. An introduction to the use of R for statistical analysis.

Class notes. Press releases (Istat - Banca d'Italia).
Stock J.H. and Watson M.W., Introduction to Econometrics, Update, Global edition, 3rd Edition, 2014, Pearson.

Main topics of the course

1. Objectives, contents and use of financial analysis
2. Concepts of strategic analysis: analysis of competitive forces as foundation of financial analysis
3. Adjustments and reclassifications of accounting data and financial reports
4. Performance analysis of non-financial firms:
a. Accounting ratios analysis
b. Cash flows analysis and preparation of cash flow statement
5. Forecast analysis: structure and logic of forecast analysis and preparation of forecast documents
6. Financial analysis and firm value: DCF, DDM, abnormal profit, abnormal profit growth, multiples
7. Working capital management
8. Cost of debt and estimation of bankruptcy risk
9. The industry of asset management: mutual funds and investment companies
10. Risk and return of portfolios and mutual funds: TWR, MWR, risk measures and risk-adjusted performance measures

1. Palepu K.G. – Healy P.M. – Peek E., Business analysis and valuation. IFRS edition, fourth edition, Cengage Learning, 2016.
2. Berk J. – De Marzo P., Finanza aziendale 1, 4th edition, Pearson, 2018, chapter 6
3. Berk J. – De Marzo P., Finanza aziendale 2, Pearson, 2018, chapters 8-9 and §5.4
4. Feibel B. J., Investment performance measurement, Frank J. Fabozzi Series, Wiley, 2003, chapters 3-4-5-7-9-10-11-12-13-14

Logic and set theory:
Propositions. Logical operations with propositions. Logical implication. Sets. Operations with sets. Cartesian product. Applications. Injective and surjective applications. One-to-one correspondence. Inverse application.
Numeric numbers and sets: Natural numbers. Integer or relative numbers. Rational numbers. Real numbers and representation on the line. Bounded sets. Upper and lower extreme of sets of rational and real numbers. Intervals and neighborhoods. Accumulation, internal, isolated points. Open sets and closed sets.
Summations and products: Definition of summation. Properties. Special sums. Sum of the first n natural numbers. Arithmetic and geometric progressions and sum of their first n terms. Factorial.
Real functions of a real variable:
Definition of a real function of a real variable. The Euclidean plane and the graph of a function. Injective and surjective functions and graph. Even and odd functions. Increasing and decreasing functions. Concave and convex functions. Bounded functions. Compositin function. Inverse function, monotonicity and invertibility, inverse function graph. Elementary functions. Functions with two laws. Transforming graphs. Domain of a function.
Sequences and numerical series: Definition of a sequence. Converging and divergent sequences. Monotone sequences and regularity theorem (w.p.). Limits of sequnces. Definition of numerical series. NC for convergence (w.p.). Cauchy criterion. Geometric, Mengoli, harmonic and generalized harmonic series.
Limits: Definition of limit. Convergence and divergence. Right limit and left limit. Vertical and horizontal asymptotes. Limit uniqueness theorem (w.p.). Sign permanence theorem in direct and inverse form (w.p.). Comparison theorem. Limit checks. Operations with limits. Indeterminate forms.
Infinitesimals and infinities: Definition of infinitesimal and infinite. Comparing infinitesimals and infinities. Order of infinitesimals and infinities. Propagation of the order. Computing limits with infinitesimals and infinities (w.p.).
Continuity and discontinuity: Definition of continuity. Limits and continuity. Classification of discontinuity points. Continuity of rational functions. Continuity of the inverse. Continuity of composition functions. Theorem of zeros (w.p.). Weierstrass theorem. Darboux's theorem (w.p.).
Differential calculus: Derivative of a function. Geometric interpretation. Derivability and continuity (w.p.) Points of non-derivability. Higher order derivatives. Derivatives of elementary functions. Rules of derivation. Chain rule. Derivative of the inverse function. Differential. First order approximation (w.p.). Taylor and McLaurin polynomial. Approximations of higher order. Stationary points. Local maxima and minima. First order necessary conditions for the existence of local maxima and minima. Fermat's theorem (w.p.). Rolle's theorem (w.p.). Lagrange theorem (w.p.). Lagrange theorem,s corollaries: zero-derivative functions (w.p.). Relations between monotonicity and derivative sign (w.p.). Local concave and convex functions. Relationship between the second order derivative and the concavity (w.p.). Points of inflection. Sufficient second order conditions for the existence of relative maxima and minima (w.p.). Sufficient conditions of order n for the existence of relative maxima and minima or inflections points (w.p.). De L'Hôpital theorem and application to limit calculus.
Graph of a function: Representation of the graph of a function on the Euclidean plane. Oblique asymptotes.
Integral calculus:
Primitive functions. Indefinite integral. Characterization of the set of primitives (w.p.). Properties of the indefinite integral. Integral of elementary functions. Integration by parts (w.p.). Integration by substitution (w.p.). Definite integral. Properties of the definite integral. Integral function. Integral mean theorem(c.d.). Fundamental theorem of integral calculus (w.p.). Corollary to Torricelli-Barrow's theorem: relationship between the definite integral and the indefinite integral (w.p.). Applications.
Linear algebra:
Vectors and vector spaces. Geometric representation of vectors. Linear combination of vectors. Linearly dependent and independent vectors. Rank of a set of vectors. Matrices. Operations with matrices. Product rows by columns. Particular matrices. Transposed matrix. Determinant of a matrix of order n. Properties of the determinant. Rank of a matrix. Rank and linear independence of vectors. Systems of linear equations. Cramer's theorem. Rouché-Capelli theorem. Homogeneous systems. Parametric systems.
(w.p.) = “with proof”

Notes can be downloaded online from the course website

1. National accounting system: basic defintions and identities. Main macroeconomic indicators
2. Keynes’s theory: aggregate demand and equilibrium output
3. Keynes’s theory: money and interest
4. The IS-LM model
5. The AS-AD model
6. Inflation and unemployment
7. Macroeconomics of the European Union
8. Money: creation an control

Compulsory material:
1) Textbook: Rudiger Dornbusch, Stanley Fischer, Richard Startz, Giuseppe Canullo, Paolo Pettenati, Macroeconomia, 11a ed (2016), McGraw-Hill, ISBN 9788838615290 (check the detailed programme for precise indications)
2) Additional teaching material (lecture notes, etc, available on the website)

GENERAL CHARACTERISTICS OF CORPORATE ORGANISATIONS
First part: BUSINESS ADMINISTRATION
1) The firm as an economic entity: General characteristics of the firm. Corporate entities: legal and economic identities. Types of firms.
2) The firm in its 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 profitability. Information Systems Governance and Internal controls (overview). Planning in business (overview).
3) Corporate funding: 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
1) The accounting rationale. Nature of data to be examined. Methodologies. The corporate record-keeping system in a broad sense.
2) Accounting practice. Double-entry bookkeeping (definition). Double-entry bookkeeping applied to manufacturing companies. Bookkeeping entries for general business transactions, initiating joint-stock companies, particular 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.

First part: BUSINESS ADMINISTRATION
Paoloni M., Paoloni P. (a cura di), Introduzione ed orientamento allo studio delle aziende, Giappichelli, 2009

Second part: ACCRUAL ACCOUNTING
Paoloni M., Celli, M. (a cura di), Introduzione alla contabilità generale, CEDAM, 2012 (pp. 75-123; pp. 137-215; pp. 220-243; pp. 244-253; pp. 255-279; pp. 292-299; pp. 304-309; pp. 321-335; pp. 364-377; pp. 399-470)

For business administration and accounting exercises: Paoloni M. (a cura di), Mattei G., Paoloni N., Eserciziario di economia aziendale e contabilita’, CEDAM, 2018

Alternatively:

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

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 (2017).

Robert H. Frank e Edward Cartwright, Microeconomia
Milano: McGraw-Hill, VII edizione, 2017
Capitoli e paragrafi in programma:

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

Capitolo 4, La domanda individuale e la domanda di mercato, p. 93
{paragrafi: 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7}

Capitolo 5, Le applicazioni delle teorie della scelta razionale e della domanda, p. 137
{limitatamente a: paragrafo 5.7; Appendice 5}

Capitolo 9, La produzione, p. 267
{intero capitolo, inclusa Appendice 9}

Capitolo 10, I costi, p. 297
{intero capitolo, esclusa Appendice 10}

Capitolo 11, La concorrenza perfetta, p. 333
{paragrafi: 11.1, 11.2, 11.3, 11.4, 11.5, 11.6, 11.7, 11.9, 11.12, 11.13}

Capitolo 12, Il monopolio, p. 377
{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. 427
{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. 523
{paragrafi: 15.1, 15.2, 15.3, 15.4, 15.6,15.7

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.

- 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.

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 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)

- Public Budget Revenues: taxes, contributions, and other charges
- The economic effects of Taxes both in closed and in open economies
- A Brief History of Western Public Finances as well as changing methodologies in the analysis of public economic decisions
- Social goods
- Tax design and Tax Incidence
- The Italian Tax System

1) Di Majo A., Introduzione alla Scienza delle Finanze, Edizioni Pigreco, Roma, capitoli 1, 2, 5, 6, 7 fino al par. 7.4 incluso;
2) Bosi P., Guerra M.C., I tributi nell'economia italiana, 2017, il Mulino, Bologna, capitoli II, III, IV, V, VI, VII, VIII.WPEI(2014)6/FINAL. OECD Publishing, Paris.

a) L’evoluzione dell’attività e delle analisi di Finanza Pubblica;
b) I beni pubblici;
c) Le entrate pubbliche e relative classificazioni;
d) Gli effetti economici dei tributi in economie chiuse ed aperte;
e) Analisi economica dei tributi: tax design e tax incidence;
f) La crescita della spesa pubblica;
g) Le principali forme di prelievo nel sistema tributario italiano.

- DI MAJO A., LEZIONI DI SCIENZA DELLE FINANZE, ECIG, GENOVA 2003, CAPITOLI I, II, III E V.
- DI MAJO A., QUADERNI DI APPUNTI DI SCIENZA DELLE FINANZE, EDIZIONI PIGRECO, ROMA 2005, CAPITOLO VI
- DI MAJO A., QUADERNI DI APPUNTI DI SCIENZA DELLE FINANZE, EDIZIONI PIGRECO, ROMA 2005, CAPITOLO VII
- BOSI P., GUERRA M.C., I TRIBUTI NELL’ECONOMIA ITALIANA, IL MULINO, BOLOGNA EDIZIONE 2010 (ESCLUSO IL CAPITOLO 10).

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 (2017) 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.

The course analyzes the main characteristics of business management and it is divided into didactic modules.
Themes related to enterprises and entrepreneurial aims (The enterprise and its role; The enterprise and its environment )are studied in depth in the first module. Business strategies and business development paths (Business strategy management; Competitive strategies and market analysis models; business development strategies) are analyzed in the second module. In the third module business functions and business operations management, with reference in particular to management techniques and assessment techniques of business efficiency (Production; Finance; Marketing; Management techniques and applications) are studied in depth.

Sciarelli S., (2017) La gestione dell'impresa. Tra teoria e pratica aziendale, CEDAM;
Additional compulsory didactic material will be published on the course web page of the “Dipartimento di Economia Aziendale” website.

LINEAR ALGEBRA.
MULTIVARIABLE CALCULUS
IMPLICIT FUNCTIONS.
QUADRATIC FORMS.
FREE AND CONSTRAINED OPTIMIZATION THEORY.
ORDINARY DIFFERENTIAL EQUATIONS.
SYSTEMS OF DIFFERENTIAL EQUATIONS.
ECONOMIC AND FINANCIAL APPLICATIONS

C. P. SIMON, L. E. BLUME, MATEMATICA 2 PER L’ECONOMIA E LE SCIENZE SOCIALI, UNIVERSITA’ BOCCONI EDITORE, 2002.

1. L'AMMINISTRAZIONE E IL SUO DIRITTO - ORDINAMENTO GIURIDICO E AMMINISTRAZIONE: LA DISCIPLINA COSTITUZIONALE.
2. L'ORGANIZZAZIONE AMMINISTRATIVA: PROFILI GENERALI - L'ORGANIZZAZIONE DEGLI ENTI PUBBLICI - LE AUTORITÀ AMMINISTRATIVE INDIPENDENTI.
3. L’EVOLUZIONE DELLO STATO A PUBBLICA AMMINISTRAZIONE - STATO LIBERALE E STATO SOCIALE - DIMENSIONAMENTO DELLO STATO SOCIALE E DIRITTO COMUNITARIO - PRIVATIZZAZIONE DEGLI ENTI PUBBLICI ECONOMICI.
4. IL RAPPORTO DI LAVORO CON LA PUBBLICA AMMINISTRAZIONE – LA PRIVATIZZAZIONE – LA DIRIGENZA PUBBLICA.
5. LE SITUAZIONI GIURIDICHE SOGGETTIVE NEI CONFRONTI DELLA PUBBLICA AMMINISTRAZIONE E LE RELATIVE VICENDE - IL PROCEDIMENTO AMMINISTRATIVO - IL PROVVEDIMENTO: VALIDITÀ ED EFFICACIA.
6. OBBLIGAZIONI, CONTRATTI E RESPONSABILITÀ DELLA PUBBLICA AMMINISTRAZIONE.
7. LA TUTELA GIURISDIZIONALE NEI CONFRONTI DELLA PUBBLICA AMMINISTRAZIONE.

PER LA PREPARAZIONE ALL’ESAME SI CONSIGLIA IL SEGUENTE PROGRAMMA:

STUDENTI NON FREQUENTANTI.

- V. CERULLI IRELLI, LINEAMENTI DI DIRITTO AMMINISTRATIVO, TORINO, GIAPPICHELLI, 2011, DA PAG. 1 A PAG. 542.
OPPURE
- G. CORSO, MANUALE DI DIRITTO AMMINISTRATIVO, TORINO, GIAPPICHELLI, 2008 DA PAG. 1 A PAG. 516.
OPPURE
- E. CASETTA, COMPENDIO DI DIRITTO AMMINISTRATIVO, MILANO, GIUFFRÈ, 2010, CAPITOLI DA I A IX, CAP. X, SEZ.I.
OPPURE
- D. SORACE, DIRITTO DELLE PUBBLICHE AMMINISTRAZIONI, BOLOGNA, MULINO, 2010, IN CORSO DI PUBBLICAZIONE.
OPPURE
- MAZZAROLLI, PERICU, ALB. ROMANO, ROVERSI MONACO, SCOCA (A CURA DI), DIRITTO AMMINISTRATIVO, VOL. I, BOLOGNA, MONDUZZI, 2005.

SI CONSIGLIA ALTRESÌ LA LETTURA DI:
P. LAZZARA, GLI ATTI E I PROVVEDIMENTI, IN MANUALE DI DIRITTO PUBBLICO, A CURA DI F. FRACCHIA, NAPOLI, EDITORIALE SCIENTIFICA, 2010, PAGG. 225 – 237.

STUDENTI FREQUENTANTI.

- V. CERULLI IRELLI, LINEAMENTI DI DIRITTO AMMINISTRATIVO, TORINO, GIAPPICHELLI, 2011, DA PAG. 233 A PAG. 542.
OPPURE,
- G. CORSO, MANUALE DI DIRITTO AMMINISTRATIVO, TORINO, GIAPPICHELLI, 2010, DA PAG. 167 A PAG. 444.

GLI STUDENTI FREQUENTANTI POTRANNO SVOLGERE APPROFONDIMENTI SU ARGOMENTI DA CONCORDARE CON IL DOCENTE. I RELATIVI RISULTATI SARANNO DISCUSSI IN FORMA SEMINARIALE.
DURANTE IL CORSO SARANNO ORGANIZZATI INCONTRI DI APPROFONDIMENTO E DI AGGIORNAMENTO SU TEMI DI ATTUALITÀ.

LO STUDIO DEVE ESSERE SVOLTO UTILIZZANDO LE FONTI PIÙ IMPORTANTI DEL DIRITTO AMMINISTRATIVO. SI SEGNALANO IN PARTICOLARE: L. 23 AGOSTO 1988, N. 400 (ART. 17) (IN TEMA DI REGOLAMENTI DEL GOVERNO); L. 7 AGOSTO 1990, N. 241 (IN TEMA DI PROCEDIMENTO AMMINISTRATIVO E ACCESSO AI DOCUMENTI), AGGIORNATA CON LE L. 15/2005, 80/2005 E 69/2009; D.LGS. 30 LUGLIO 1999, N. 300 (IN TEMA DI AMMINISTRAZIONE DELLO STATO E MINISTERI); D.LGS. 30 MARZO 2001, N. 165 (IN TEMA DI ORGANIZZAZIONE DELLE AMMINISTRAZIONI PUBBLICHE), NONCHÉ LE L 20 MARZO 1865, N. 2248 (ALL. E), R.D. 26 GIUGNO 1924, N. 1054, L. 6 DICEMBRE 1971, N. 1034, D.LGS. 31 MARZO 1998, N. 80 E L. 21 LUGLIO 2000, N. 205 E SUCC. MOD. (IN TEMA DI GIUSTIZIA AMMINISTRATIVA). E’ INDISPENSABILE LA CONOSCENZA DELLA COSTITUZIONE DELLA REPUBBLICA ITALIANA COME MODIFICATA CON L. COST. 18 OTTOBRE 2001, N. 3 (DI RIFORMA DEL TITOLO V DELLA PARTE SECONDA).

PER IL REPERIMENTO DELLE FONTI NORMATIVE SI PUÒ CONSULTARE LA GAZZETTA UFFICIALE, NONCHÉ, SOLTANTO PER GLI ATTI LEGISLATIVI ENTRATI IN VIGORE A PARTIRE DALLA XIII LEGISLATURA (1996), IL SITO INTERNET DEL PARLAMENTO O ALTRI SITI PRESENTI NELLA RETE. N.B.: IN QUESTO MODO SI ACCEDE AL TESTO ORIGINARIO DELLE FONTI NON AGGIORNATO CON LE MODIFICHE SUCCESSIVE.

PER DISPORRE DEL TESTO AGGIORNATO PUÒ ESSERE UTILE L'IMPIEGO DI UN "CODICE AMMINISTRATIVO" (ESISTONO IN COMMERCIO VARIE RACCOLTE), CON L'AVVERTENZA DI UTILIZZARE UN'EDIZIONE RECENTE. IN PARTICOLARE SI PUÒ FAR RIFERIMENTO A M. CAMMELLI, G. SCIULLO, CODICE BREVE DELLE AMMINISTRAZIONI PUBBLICHE ,ZANICHELLI, BOLOGNA, ULTIMA EDIZIONE DISPONIBILE OPPURE A F.A. ROVERSI MONACO, L. VANDELLI, CODICE BREVE DI DIRITTO AMMINISTRATIVO , MAGGIOLI, RIMINI, ULTIMA EDIZIONE DISPONIBILE.