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, seconda edizione, Giappichelli, 2021

Second part: ACCRUAL ACCOUNTING
Paoloni M., Celli, M. (a cura di), Introduzione alla contabilità generale (2^edizione), CEDAM, 2020 (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 contabilità, 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

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

Caratteri generali: oggetto dell’azienda.
Soggetti aziendali: “soggetto giuridico” e “soggetto economico”.
Vari tipi di azienda: l’impresa e le aziende non profit.
L’impresa e l’iniziativa individuale: imprese private e imprese pubbliche.
La logica delle scelte nell’impresa.
La struttura decisionale ed il potere di controllo nell’impresa.
L’economicità aziendale e super aziendale.
L’efficienza e i costi di produzione.
Il finanziamento d’impresa.
Il fabbisogno finanziario e la sua determinazione.
Le fonti di finanziamento.
La relazione tra “capitale proprio” e “capitale di credito”.
Le determinazioni e le rilevazioni quantitative d’azienda come strumento d’informazione.
La natura del reddito e del capitale di impresa.
Teoria e metodo della Partita Doppia.
Il metodo della Partita Doppia applicato al sistema del reddito nelle aziende di produzione.
Le rilevazioni contabili delle operazioni di costituzione, acquisto, vendita, retribuzione dei dipendenti, riscossione e pagamento, finanziamento.
La formazione del bilancio di esercizio e la determinazione del reddito.
Scritture di assestamento, di chiusura e di riapertura dei conti.
Destinazione del reddito d’esercizio.
Capitale nominale e riserve nelle aziende di società.

G. Zanda - Fondamenti di economia aziendale - G. Giappichelli - Torino - 2015.

More textbook will be provided for the accounting entries part.

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

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

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

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

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

The teaching material is made available by the teachers through the Teams platform

GENERAL MATHEMATICS PROGRAM a.a 2021-2022
I CHANNEL

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

Carl P. Simon, Lawrence Blume, Mathematics for economists, W.W. Norton and Company, 2010.
Only: Chapter 2, Chapter 3, Chapter 4, Chapter 5, Chapter 6, Chapter 7, Appendix 4.
http://disa.uniroma3.it/didattica/lauree-triennali/matematica-generale-n-o-ii-canale-d-k/

GENERAL MATHEMATICS PROGRAM a.a 2021-2022
I CHANNEL

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

Carl P. Simon, Lawrence Blume, Mathematics for economists, W.W. Norton and Company, 2010.
Only: Chapter 2, Chapter 3, Chapter 4, Chapter 5, Chapter 6, Chapter 7, Appendix 4.
http://disa.uniroma3.it/didattica/lauree-triennali/matematica-generale-n-o-ii-canale-d-k/

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

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

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

Carl P. Simon, Lawrence Blume, Mathematics for economists, W.W. Norton and Company, 2010.
Only: Chapter 2, Chapter 3, Chapter 4, Chapter 5, Chapter 6, Chapter 7, Appendix 4.

The legal system - The form of government - The system of sources - The constitutional level: the Constitution, the constitutional review laws and other constitutional laws - Constituted power and constituent power - Sources of primary level - The sources of secondary level - The sources of the European Union - The organization of the Parliament - The Government - The President of the Republic - The Constitutional Court - The Judiciary - Territorial autonomies - Public administration and administrative activity - Constitutional rights and freedoms

Exam for 9 CFU
F. Modugno (a cura di), Diritto pubblico, Giappichelli, Torino, V edizione, 2021, except:
CAP. I, §7
CAP. II, §§ 14, 15 e 16
CAP. III, §§ 3, 7 e 10
CAP. IV, § 11
CAP. VII, § 7
CAP. IX, §§ 5, 6, 7, 8 e 9
CAP. X, §§ 7
CAP. XI, §§ 1 e 7
CAP. XII §§ 8, 9, 10 e 11.

Exam for 6 CFU
F. Modugno (a cura di), Diritto pubblico, Giappichelli, Torino, V edizione, 2021, except:
CAP. I, §§ 7, 9 (except just pp. 98-104) e 10
CAP. II, §§ 11 (except just pp. 212-221), 13 (except just pp. 238-242), 14, 15 e 16
CAP. III, §§ 1, 2, 3, 7 e 10
CAP. IV, §§ 1 e 11
CAP. V, §§ 1 e 7
CAP. VII, §§ 1 e 7
CAP. VIII, §§ 3
CAP. IX, §§ 3, 4, 5, 6, 7, 8 e 9
CAP. X, §§ 7
CAP. XI, §§ 1, 4.1, 6 (except just pp. 752-755) e 7
CAP. XII §§ 1, 2, 3, 4, 8, 9, 10, 11 e 12.

The legal system - The form of government - The system of sources - The constitutional level: the Constitution, the constitutional review laws and other constitutional laws - Constituted power and constituent power - Sources of primary level - The sources of secondary level - The sources of the European Union - The organization of the Parliament - The Government - The President of the Republic - The Constitutional Court - The Judiciary - Territorial autonomies - Public administration and administrative activity - Constitutional rights and freedoms

Exam for 9 CFU
F. Modugno (a cura di), Diritto pubblico, Giappichelli, Torino, V edizione, 2021, except:
CAP. I, §7
CAP. II, §§ 14, 15 e 16
CAP. III, §§ 3, 7 e 10
CAP. IV, § 11
CAP. VII, § 7
CAP. IX, §§ 5, 6, 7, 8 e 9
CAP. X, §§ 7
CAP. XI, §§ 1 e 7
CAP. XII §§ 8, 9, 10 e 11.

Exam for 6 CFU
F. Modugno (a cura di), Diritto pubblico, Giappichelli, Torino, V edizione, 2021, except:
CAP. I, §§ 7, 9 (except just pp. 98-104) e 10
CAP. II, §§ 11 (except just pp. 212-221), 13 (except just pp. 238-242), 14, 15 e 16
CAP. III, §§ 1, 2, 3, 7 e 10
CAP. IV, §§ 1 e 11
CAP. V, §§ 1 e 7
CAP. VII, §§ 1 e 7
CAP. VIII, §§ 3
CAP. IX, §§ 3, 4, 5, 6, 7, 8 e 9
CAP. X, §§ 7
CAP. XI, §§ 1, 4.1, 6 (except just pp. 752-755) e 7
CAP. XII §§ 1, 2, 3, 4, 8, 9, 10, 11 e 12.

What is Public Law; The rule of law; Legal entities and subjective positions; The legal system; The forms of State; The forms of Government; The sources of law; The resolution criteria for antinomies; International law and European law; The Italian Constitution; The principle of legality; The legal reserve; The revision of the Constitution; The Constitutional Court; The economic Constitution; State and economy; The regulation of economic sectors; Fundamental rights; The principle of equality; The guarantee of LEPs; The subsidiarity principle; The principle of proportionality; Freedom rights and social rights in the welfare state; Right to work; Right to education; Right to health and Health National System; The balancing of rights; The right to the protection of personal data: analysis of the EU Regulation 679/2016 and national legislation; The Italian Parliament: bicameralism, composition, functions, internal organization, status of parliamentarians; Parliament in joint session; The functions of Parliament and the relationship of trust; The Government: formation process, relationship of trust, composition, functions; The President of the Republic: election, functions, responsibilities; Public administration; Public bodies; The authorities; The jurisdiction; The areas of competence of State and Regions; The general law on administrative procedure and access to the documents; Administrative acts.

F. Modugno (a cura di), Diritto pubblico, V edizione, Giappichelli, 2021.

as an alternative

T. Groppi – A. Simoncini, Introduzione allo studio del diritto pubblico e delle sue fonti, VI edizione, Giappichelli, 2023;
in addition to
C. Colapietro, Il diritto alla protezione dei dati personali in un sistema delle fonti multilivello, Editoriale Scientifica, 2018.

The legal system - The form of government - The system of sources - The constitutional level: the Constitution, the constitutional review laws and other constitutional laws - Constituted power and constituent power - Sources of primary level - The sources of secondary level - The sources of the European Union - The organization of the Parliament - The Government - The President of the Republic - The Constitutional Court - The Judiciary - Territorial autonomies - Public administration and administrative activity - Constitutional rights and freedoms

STUDENTS HAVE TO ACHIEVE 9 CFU:
F. Modugno (a cura di), Diritto pubblico, Giappichelli, Torino, V edizione, 2021, except:
CAP. I, §7
CAP. II, §§ 14, 15 e 16
CAP. III, §§ 3, 7 e 10
CAP. IV, § 11
CAP. VII, § 7
CAP. IX, §§ 5, 6, 7, 8 e 9
CAP. X, §§ 7
CAP. XI, §§ 1 e 7
CAP. XII §§ 8, 9, 10 e 11.

STUDENTS HAVE TO ACHIEVE 6 CFU:
F. Modugno (a cura di), Diritto pubblico, Giappichelli, Torino, V edizione, 2021, except:
CAP. I, §§ 7, 9 (except just pp. 98-104) e 10
CAP. II, §§ 11 (except just pp. 212-221), 13 (except just pp. 238-242), 14, 15 e 16
CAP. III, §§ 1, 2, 3, 7 e 10
CAP. IV, §§ 1 e 11
CAP. V, §§ 1 e 7
CAP. VII, §§ 1 e 7
CAP. VIII, §§ 3
CAP. IX, §§ 3, 4, 5, 6, 7, 8 e 9
CAP. X, §§ 7
CAP. XI, §§ 1, 4.1, 6 (except just pp. 752-755) e 7
CAP. XII §§ 1, 2, 3, 4, 8, 9, 10, 11 e 12.

Part I - Introduction and National accounts
0. Introduction to political economy. Organization of the class
1. National accounts
2. Economic indicators
Part II - Macroeconomics (short run)
3. Income-expenditure model in a closed economy
4. Income-expenditure model in an open economy
5. Money and financial markets
6. IS-LM model in a closed economy
7. IS-LM model in an open economy
Part III - Microeconomics (consumption, production, markets)
8. Consumption
9. Production and costs
10. Perfect competition
11. Monopoly
12. Oligopoly and introduction to game theory
Part IV - Microeconomics (prices, labor market, wages)
13. Prices
14. Labor market
15. Wages
Part V – Macroeconomics (medium run)
16. AD-AS and PS-WS models
17. Inflation and unemployment
18. Exchange rates regimes
Part VI - Intermediate political economy
19. Economic growth
20. Economic general equilibrium, Keynes, classical theory

O. Blanchard, A. Amighini, F. Giavazzi, Macroeconomia, Il Mulino, last edition, cap. 1,2,3,4,5,7,8,10,11,17,18,19,20
R. H. Frank, Microeconomia, McGraw Hill Italia, last edition, cap. 3,4,9,10,11,12,13.4,13.5,15.2,15.7
The basic materials for studying are contained in the slide of the lectures, available on the Moodle site of the course

Part I - Introduction and National accounts
0. Introduction to political economy. Organization of the class
1. National accounts
2. Economic indicators
Part II - Macroeconomics (short run)
3. Income-expenditure model in a closed economy
4. Income-expenditure model in an open economy
5. Money and financial markets
6. IS-LM model in a closed economy
7. IS-LM model in an open economy
Part III - Microeconomics (consumption, production, markets)
8. Consumption
9. Production and costs
10. Perfect competition
11. Monopoly
12. Oligopoly and introduction to game theory
Part IV - Microeconomics (prices, labor market, wages)
13. Prices
14. Labor market
15. Wages
Part V – Macroeconomics (medium run)
16. AD-AS and PS-WS models
17. Inflation and unemployment
18. Exchange rates regimes
Part VI - Intermediate political economy
19. Economic growth
20. Economic general equilibrium, Keynes, classical theory

O. Blanchard, A. Amighini, F. Giavazzi, Macroeconomia, Il Mulino, last edition, cap. 1,2,3,4,5,7,8,10,11,17,18,19,20
R. H. Frank, Microeconomia, McGraw Hill Italia, last edition, cap. 3,4,9,10,11,12,13.4,13.5,15.2,15.7
The basic materials for studying are contained in the slide of the lectures, available on the Moodle site of the course

Introductory lesson
1. Origin and development of political economy: the classical school, the marginalist school and the Keynesian revolution
Macroeconomics
1. National accounts
2. Economic and labor market indicators
3. The income-expenditure model
4. The IS-LM model
5. The WS-PS model and the Phillips curve
6. The IS-LM-PC model
7. Distribution, employment and growth: the post-Keynesian school
Microeconomics
2. Theory of consumption
to. The rational choice
b. Individual and market demand
3. Theory of production
to. Production
b. Costs
4. Market forms
to. The perfect competition
b. Monopoly and oligopoly
5. Supply of production factors
6. General Equilibrium
7. Alternative theories: outline

Blanchard, O., Amighini, A., & Giavazzi, F. (2021). Scoprire la macroeconomia. I. Quello che non si può non sapere. Il mulino. https://www.pandoracampus.it/store/details/10.978.8815/366351
R. H. Frank, Microeconomia, McGraw Hill Italia, ultima edizione https://www.mheducation.it/microeconomia-8-ed-con-connect-9788838697067-italy
Handouts and papers by the teacher

Microeconomics:
Part 1: Basic concepts (chapters 1, 2, 3)
- The Central Concepts of Economic
- Basic Elements of Supply and Demand

Parte 2: Supply, demand and competitive markets (chapters 4, 5, 6, 7)
- Demand and consumer behavior
- Production and technology
- Analysis of costs
- Competitive equilibrium

Part 3: Imperfect competition (chapters 8, 9, 10, 11, 12)
- Imperfect competition and monopoly
- Oligopoly and game theory
- Factor markets




Macroeconomics
Introduction
- What is Macroeconomics
- Some elements of the System of National Accounts

Part 1: The Short Run
- The Goods Market
- Financial Markets
- The IS-LM Model

Part 2: The Medium Run
- The Labor Market
- The Phillips Curve, the Natural Rate of Unemployment, and Inflation
- The IS-LM-PC Model

Part 3: Extensions
- The open economy and the Exchange Rate Regimes

- Paul Samuelson and William Nordhaus "Economics" ed. Mc Graw Hill
- Olivier Blanchard "Macroeconomics". ed. Pearson

Descriptive statistics:
variables and their measurement, univariate distributions, describing data with tables and graphs, measures of position, variability.
Bivariate descriptive statistics: independence, association, correlation, probability distributions for discrete and continuous variables, sampling distributions
Inference: estimation, hypothesis test, regression

A. Agresti, B. Finlay. Statistical methods for the social sciences. Pearson International Edition-4th edition (2009)

Descriptive statistics:
variables and their measurement, univariate distributions, describing data with tables and graphs, measures of position, variability.
Bivariate descriptive statistics: independence, association, correlation, probability distributions for discrete and continuous variables, sampling distributions
Inference: estimation, hypothesis test, regression

A. Agresti, B. Finlay. Statistical methods for the social sciences. Pearson International Edition-4th edition (2009)

Introduction
1. Hardware and software
2. Data storage and processing
3. Operating system
4. Networking and Internet
5. Algorithms

Word processing

Data sheet

No text book is required. Materials and useful links will be provided during the classes.

Module I - The theory of financial statements

Introduction to the study of financial statements.
The basic functions of financial statements.
The nature of operating income and working capital.
The purposes that can be assigned to financial statements.
Relationship between income, valuation criteria and purposes of financial statements.
The purposes of the financial statements in the business doctrine: the "alpha" and "beta" purposes.

Module II - The Financial Statements in the Civil Code

The documents of the balance sheet - Structure and content (art. 2423-ter - 2425 Civil Code)
The general clause and the principles for drawing up the financial statements (articles 2423 - 2423-bis Civil Code)
Special valuation criteria (art. 2426 Civil Code)
Tangible fixed assets
Intangible fixed assets
Securities and Equity Investments
Receivables
Assets and liabilities in foreign currency
Inventories (Lifo, Fifo, Cmp)
Contract work in progress
The contents of the Explanatory Notes and the Management Report on Operations

Module III - Accounting

Closing entries, general closing and reopening of accounts
Fixed assets - Accounting based on amortization, depreciation, write-downs and reinstatement of value
Equity investments - Accounting with the historical cost method and equity method
Foreign currency transactions - Accounting treatment
Inventories and contract work in progress - Accounting treatment

Module IV - Fundamentals of financial statement analysis

Modules I e II: Tutino M. (2017), Bilancio e nuovi OIC, Cedam
Module III: Paoloni M., Celli M. (2012), Introduzione alla contabilità generale, Cedam.
Module IV: Paolucci G. (2016), Analisi di bilancio, Hoepli.

Teaching materials available to students on the course web pages

Modul I - Financial reporting

Introduction to the financial reporting study
The basic functions of financial reporting
The nature of income and working capital
The attributable purposes of financial reporting
Relationship between income, evaluation criteria and purposes of financial reporting
The purposes of the financial reporting in the business administration literature: the "alpha" and "beta" purposes

Module II - The Financial Reporting in the Civil Code
From accounting to financial reporting (Closing entries, general closing and reopening of accounts)
The documents of the financial reporting: balance sheet, financial statement and cash flow statement: structure and content (artt. 2423-ter – 2425 c.c. – 2425 ter c.c.)
The general clause and the principles for drawing up the financial reporting (articles 2423 - 2423-bis Civil Code)
Special valuation criteria (art. 2426 Civil Code)
Tangible and intangible fixed assets
Securities and Equity Investments
Receivables
Assets and liabilities in foreign currency
Inventories (Lifo, Fifo, Cmp)
Contract work in progress
The contents of the Notes and the Management Report

Module III - harmonisation accounting process (IAS/IFRS)

Zanda G. (Il bilancio delle società, Giappichelli, Torino, 2007 (integrato con il vigente Codice civile, artt. dal 2423 al 2429 compresi)
Tutino M. (2017), Bilancio e nuovi OIC, Cedam
Paoloni M., Celli M. (2012), Introduzione alla contabilità generale, Cedam.

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 Italian Civil Code, articles from 2423 to 2429 included.

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, 4ª ed., Giappichelli, 2021
- L. ROSSI CARLEO, E. BELLISARIO, V. CUFFARO, Famiglia e successioni. Le forme di circolazione della ricchezza familiare, 5ª ed., Giappichelli, 2022 (excluded parr. from 7 to 12 of the Third Chapter; the Eighth Chapter and the Tenth Chapter)

To access the teaching material, it is necessary to enroll in Course AA22/23, on the Moodle platform.

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, 4ª ed., Giappichelli, 2021
- L. ROSSI CARLEO, E. BELLISARIO, V. CUFFARO, Famiglia e successioni. Le forme di circolazione della ricchezza familiare, 5ª ed., Giappichelli, 2022 (excluded parr. from 7 to 12 of the Third Chapter; The Eighth Chapter and the Tenth Chapter)
To access the teaching material, it is necessary to enroll in Course AA 22/23, on the Moodle platform.

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, 4ª ed., Giappichelli, 2021
- L. ROSSI CARLEO, E. BELLISARIO, V. CUFFARO, Famiglia e successioni. Le forme di circolazione della ricchezza familiare, 5ª ed., Giappichelli, 2022 (excluded parr. from 7 to 12 of the Third Chapter; the Eighth Chapter and the Tenth Chapter)

To access the teaching material, it is necessary to enroll in Course AA22/23, on the Moodle platform.

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.

1) Civil Code, latest edition;
2) Handbook of private law, latest edition.

The student can choose any Manual of private law, as long as it is in the latest edition.
By way of example, the following are reported:
- Torrente-Schlesinger, Manuale di diritto privato, Giuffrè, latest edition
- Bianca, Istituzioni di diritto privato, Giuffrè, latest edition
- Stanzione, Manuale di diritto privato, latest edition
- Roppo, Diritto Privato, latest edition
- Gabrielli, Diritto Privato, latest edition
- Iorio, Corso di diritto privato, Giappichelli, latest edition
- Mazzamuto, Manuale del diritto privato, Giappichelli, latest edition
- Perlingieri, Istituzioni di diritto civile, Esi, latest edition
- Trabucchi, Istituzioni di diritto civile, Wolters Kluwer - Cedam, latest edition
- Alpa, Manuale di diritto privato, Wolters Kluwer - Cedam, latest edition
- Zatti-Colussi, Lineamenti di diritto privato, Wolters Kluwer - Cedam, latest edition
- Galgano, Istituzioni di diritto privato, Wolters Kluwer - Cedam, latest edition

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. (2018), Financial Markets and Institutions, ninth edition, Pearson.

The course offers an overview of the roles and main functions of the financial system in a modern economy. The course covers the analysis of financial instruments and markets as well as the objectives, the organization and the management of financial intermediaries. The role of regulation and supervision is covered in the final set of lectures.
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. (2018), Financial Markets and Institutions (global edition), first edition, Pearson.

Introduction.
Banking intermediation theories
The real system and the financial system
Functions and structure of the financial system
The typical risks of financial intermediaries (1)
The typical risks of financial intermediaries (2)
Financial instruments and their classification
Payment instruments
Debt instruments elements of yield and risk assessment
Debt instruments: review
Participation instruments
Insurance instruments and derivative instruments
Insurance instruments and derivative instruments: review
Financial markets.
The architecture of financial supervision
Securities intermediation and its regulation
Securities intermediation and its regulation

Nadotti, L., Porzio, C., Previati, D. (2022). Economia degli intermediari finanziari. McGraw-Hill, Quarta Edizione

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.

Textbook : Sciarelli S., La gestione dell'impresa tra teoria e pratica aziendale, Wolter Kluwer, 2020.
Additional compulsory didactic material will be published on the course web page of the “Dipartimento di Economia Aziendale” website.

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., (XII ed. 2022) La gestione dell’impresa. Tra teoria e pratica aziendale, CEDAM;

The course analyzes the main characteristics of business management, and it is divided into didactic modules. In the first module students will deep dive into themes related to enterprises and entrepreneurial aims: The enterprise and its role; The enterprise and its environment.. 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 to management techniques and assessment techniques of business efficiency (Production; Finance; Marketing; Management techniques and applications).

For both attending and not-attending students:
 Sciarelli S., (XII ed. 2022) La gestione dell’impresa. Tra teoria e pratica aziendale, CEDAM; ALL except chapter 18.

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

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

Three modules are scheduled.
Module I –Accounting, Basic
Review of basic corporate financial reports and disclosures that serve as inputs to valuation analysis.
Module II – Financial Statement Analysis
Analysis of financial ratios to measure financial risks and returns; analysis of financial disclosures to identify red flags of potential distress or earnings manipulation;
Module III – Financial Statement Analysis and Debt Sustainability
The module is divided into three interconnected sub-modules.
Sub-module A addresses the issue of capital structure, with reference to debt monitoring tools in the context of financial restructuring as well as post-restructuring alternatives.
Sub-module B analyzes the criteria and the new guidelines for assessing the creditworthiness of a company, focusing on the tools and techniques for analyzing company data as well as on alert indicators for monitoring company financial dynamics.
Sub-module C proposes an in-depth analysis on derivative instruments for hedging purposes in the financial statements of companies, taking into account the assessments necessary to verify their effectiveness. The valuation elements in the absence of listing on the markets as regards unlisted bonds are the subject of in-depth analysis.
Classroom exercises are planned.

Course material
E-Book to download from course website (Moodle)

Key reading list
Sutton T (last edition), Corporate Financial Accounting & Reporting, Prentice Hall
Damodaran A. (last edition), Damodaran on Valuation: Security Analysis for Investment and Corporate Finance, Wiley Finance
Tutino M., Ranciaro V. (2020), Innovation in Financial Restructuring. Focus on Signals, Processes and Tools, Sumy, Ukraine, Virtus Interpress

Introduction
Part One. The business analysis: indexes and flows
First Section. The financial statement ratio analysis
The logical and accounting process of the financial statements.
The financial statements: the purpose of ratio analysis
The reinterpretation of the balance sheet for the purpose of financial analysis / balance sheet
The reinterpretation of the income statement to profitability analysis purposes
The asset analysis of the aspect: the organic framework of the quotients of capital structure
The financial analysis of the aspect: the organic framework of financial ratios
The profitability analysis: the organic framework of the income ratios
The weighted ratios
Section Two. The analysis of financial flows
The funds flow
The statement of changes in total financial resources
The cash flow statement of changes in net working capital
The financial statements of the liquidity fluctuations

Part Two - The economic capital
Purposes and subject positions in the company's assessments
Direct methods of evaluation of the economic capital
Theoretical indirect methods of estimating
The simplified income methods
The balance sheet methods
The mixed evaluation 'methods'
Application

Recommended reading

Part One:
G. Paolucci, Analisi di bilancio e finanziaria. Logica, finalità e modalità applicative, Franco Angeli, quinta edizione, 2021 ( o in alternativa G. Ferrero – F. Dezzani – P. Pisoni – L. Puddu, Le analisi di bilancio – indici e flussi, Giuffrè).
F. Manni – A. Faccia, Financial Accounting, ARACNE, 2019.
Part Two:
G. Zanda. - M. Lacchini - T. Onesti, La valutazione delle aziende, Giappichelli.

The course, articulated in a single module, will cover the following topics:
1. The entrepreneur (of any kind).
2. The rules set forth for the commercial enterprises.
2. Companies and other business organizations.
4. The joint-stock company and the limited partnership by shares.
5. Transformation, merger and spin-off.
6. The co-operative companies, the consortia and the joint-ventures.
7. Entrepreneur’s auxiliaries; the establishment.
8. Debt securities and promissory notes.
9. Bankruptcy (general principles).

L. De Angelis (edited by), Diritto commerciale, Wolters Kluwers/Cedam, last edition.
pages 1-93
pages 125-134
pages 137-709
pages 777-828
pages 887-922


V. Buonocore (conceived by), Manuale di diritto commerciale, Torino, Giappichelli, last edition, 2020:
pages 7-63
pages 103-126
pages 163-180
pages 181-700
pages 985-1044
pages 1045-1074
pages 1150-1164

It’s recommended studying the subject with an updated Civil Code, comprehensive of connected laws.

Scope of the external auditing.
Preparing the work of auditing, the general auditing standards. Non Auditing services.
Internal control system: its nature, objectives and features. COSO (Committee of Sponsoring Organizations) report model. The ERM (Enterprise Risk Management) framework: an integrated approach towards risk management.
ERM and ESG-related risks reports. The auditor among the other governance bodies in italian companies.
The legislative environment. Italian and international auditing standards. Annual report content according to Italian discipline. CONSOB statements.
Auditing methodology: process oriented approach. Internal control over financial reporting. The audit activity on the main company processes.
Significance and materiality.
Work charts.
Auditor responsibility. Audit procedures and evidences.
Audit quality.
Audit activity: it concerns.
Examples on the activity over main financial reporting accounts.
The audit report.
Fraud auditing .
Independence anc ethics.
Auditing in groups.
Audit in M&A.
Integrated reporting: the role of the auditors.

Supplementary and possible issue:
Non financial disclosure and the role of auditors

BOSONI E, FELLEGARA A., Manuale di revisione legale. Logiche e strumenti, Torino Giappichelli, 2020

More
Italian standard of Auditing: statements n. 200 – 210 – 220 – 240 – 250 – 250B – 260 – 265 – 300 – 315 – 320 – 330 – 402 – 450 – 500 – 501 – 510 – 520 – 530 – 540 – 550 – 560 – 570 – 580 – 600 – 610 – 620 – 700 – 701 – 702 – 705 – 706 – 710 – 720 – 720B – International Standard of Quality Control (Italy) ISQC1

Supplementary documents provided by the professor.

GENERAL

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


SPECIAL

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

AA.VV., Fondamenti di diritto tributario, Wolters Kluwer, 2020 studiare da pag 3 a pag. 192; da pag. 217 a 230; da pag. 243 a 249; da pag. 265 a 336 (in particolare capitoli 1, 2, 3, 4 sezione I, capitolo 4 sezione II da Sintesi introduttiva fino al paragrafo 4 incluso, paragrafo 7, paragrafo 10, capitolo 5).

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, seconda edizione, Giappichelli, 2021

Second part: ACCRUAL ACCOUNTING
Paoloni M., Celli, M. (a cura di), Introduzione alla contabilità generale (2^edizione), CEDAM, 2020 (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 contabilità, 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

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

Caratteri generali: oggetto dell’azienda.
Soggetti aziendali: “soggetto giuridico” e “soggetto economico”.
Vari tipi di azienda: l’impresa e le aziende non profit.
L’impresa e l’iniziativa individuale: imprese private e imprese pubbliche.
La logica delle scelte nell’impresa.
La struttura decisionale ed il potere di controllo nell’impresa.
L’economicità aziendale e super aziendale.
L’efficienza e i costi di produzione.
Il finanziamento d’impresa.
Il fabbisogno finanziario e la sua determinazione.
Le fonti di finanziamento.
La relazione tra “capitale proprio” e “capitale di credito”.
Le determinazioni e le rilevazioni quantitative d’azienda come strumento d’informazione.
La natura del reddito e del capitale di impresa.
Teoria e metodo della Partita Doppia.
Il metodo della Partita Doppia applicato al sistema del reddito nelle aziende di produzione.
Le rilevazioni contabili delle operazioni di costituzione, acquisto, vendita, retribuzione dei dipendenti, riscossione e pagamento, finanziamento.
La formazione del bilancio di esercizio e la determinazione del reddito.
Scritture di assestamento, di chiusura e di riapertura dei conti.
Destinazione del reddito d’esercizio.
Capitale nominale e riserve nelle aziende di società.

G. Zanda - Fondamenti di economia aziendale - G. Giappichelli - Torino - 2015.

More textbook will be provided for the accounting entries part.

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

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

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

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

GENERAL MATHEMATICS PROGRAM a.a 2021-2022
I CHANNEL

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

Carl P. Simon, Lawrence Blume, Mathematics for economists, W.W. Norton and Company, 2010.
Only: Chapter 2, Chapter 3, Chapter 4, Chapter 5, Chapter 6, Chapter 7, Appendix 4.
http://disa.uniroma3.it/didattica/lauree-triennali/matematica-generale-n-o-ii-canale-d-k/

GENERAL MATHEMATICS PROGRAM a.a 2021-2022
I CHANNEL

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

Carl P. Simon, Lawrence Blume, Mathematics for economists, W.W. Norton and Company, 2010.
Only: Chapter 2, Chapter 3, Chapter 4, Chapter 5, Chapter 6, Chapter 7, Appendix 4.
http://disa.uniroma3.it/didattica/lauree-triennali/matematica-generale-n-o-ii-canale-d-k/

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

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

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

Carl P. Simon, Lawrence Blume, Mathematics for economists, W.W. Norton and Company, 2010.
Only: Chapter 2, Chapter 3, Chapter 4, Chapter 5, Chapter 6, Chapter 7, Appendix 4.

The legal system - The form of government - The system of sources - The constitutional level: the Constitution, the constitutional review laws and other constitutional laws - Constituted power and constituent power - Sources of primary level - The sources of secondary level - The sources of the European Union - The organization of the Parliament - The Government - The President of the Republic - The Constitutional Court - The Judiciary - Territorial autonomies - Public administration and administrative activity - Constitutional rights and freedoms

Exam for 9 CFU
F. Modugno (a cura di), Diritto pubblico, Giappichelli, Torino, V edizione, 2021, except:
CAP. I, §7
CAP. II, §§ 14, 15 e 16
CAP. III, §§ 3, 7 e 10
CAP. IV, § 11
CAP. VII, § 7
CAP. IX, §§ 5, 6, 7, 8 e 9
CAP. X, §§ 7
CAP. XI, §§ 1 e 7
CAP. XII §§ 8, 9, 10 e 11.

Exam for 6 CFU
F. Modugno (a cura di), Diritto pubblico, Giappichelli, Torino, V edizione, 2021, except:
CAP. I, §§ 7, 9 (except just pp. 98-104) e 10
CAP. II, §§ 11 (except just pp. 212-221), 13 (except just pp. 238-242), 14, 15 e 16
CAP. III, §§ 1, 2, 3, 7 e 10
CAP. IV, §§ 1 e 11
CAP. V, §§ 1 e 7
CAP. VII, §§ 1 e 7
CAP. VIII, §§ 3
CAP. IX, §§ 3, 4, 5, 6, 7, 8 e 9
CAP. X, §§ 7
CAP. XI, §§ 1, 4.1, 6 (except just pp. 752-755) e 7
CAP. XII §§ 1, 2, 3, 4, 8, 9, 10, 11 e 12.

The legal system - The form of government - The system of sources - The constitutional level: the Constitution, the constitutional review laws and other constitutional laws - Constituted power and constituent power - Sources of primary level - The sources of secondary level - The sources of the European Union - The organization of the Parliament - The Government - The President of the Republic - The Constitutional Court - The Judiciary - Territorial autonomies - Public administration and administrative activity - Constitutional rights and freedoms

Exam for 9 CFU
F. Modugno (a cura di), Diritto pubblico, Giappichelli, Torino, V edizione, 2021, except:
CAP. I, §7
CAP. II, §§ 14, 15 e 16
CAP. III, §§ 3, 7 e 10
CAP. IV, § 11
CAP. VII, § 7
CAP. IX, §§ 5, 6, 7, 8 e 9
CAP. X, §§ 7
CAP. XI, §§ 1 e 7
CAP. XII §§ 8, 9, 10 e 11.

Exam for 6 CFU
F. Modugno (a cura di), Diritto pubblico, Giappichelli, Torino, V edizione, 2021, except:
CAP. I, §§ 7, 9 (except just pp. 98-104) e 10
CAP. II, §§ 11 (except just pp. 212-221), 13 (except just pp. 238-242), 14, 15 e 16
CAP. III, §§ 1, 2, 3, 7 e 10
CAP. IV, §§ 1 e 11
CAP. V, §§ 1 e 7
CAP. VII, §§ 1 e 7
CAP. VIII, §§ 3
CAP. IX, §§ 3, 4, 5, 6, 7, 8 e 9
CAP. X, §§ 7
CAP. XI, §§ 1, 4.1, 6 (except just pp. 752-755) e 7
CAP. XII §§ 1, 2, 3, 4, 8, 9, 10, 11 e 12.

What is Public Law; The rule of law; Legal entities and subjective positions; The legal system; The forms of State; The forms of Government; The sources of law; The resolution criteria for antinomies; International law and European law; The Italian Constitution; The principle of legality; The legal reserve; The revision of the Constitution; The Constitutional Court; The economic Constitution; State and economy; The regulation of economic sectors; Fundamental rights; The principle of equality; The guarantee of LEPs; The subsidiarity principle; The principle of proportionality; Freedom rights and social rights in the welfare state; Right to work; Right to education; Right to health and Health National System; The balancing of rights; The right to the protection of personal data: analysis of the EU Regulation 679/2016 and national legislation; The Italian Parliament: bicameralism, composition, functions, internal organization, status of parliamentarians; Parliament in joint session; The functions of Parliament and the relationship of trust; The Government: formation process, relationship of trust, composition, functions; The President of the Republic: election, functions, responsibilities; Public administration; Public bodies; The authorities; The jurisdiction; The areas of competence of State and Regions; The general law on administrative procedure and access to the documents; Administrative acts.

F. Modugno (a cura di), Diritto pubblico, V edizione, Giappichelli, 2021.

as an alternative

T. Groppi – A. Simoncini, Introduzione allo studio del diritto pubblico e delle sue fonti, VI edizione, Giappichelli, 2023;
in addition to
C. Colapietro, Il diritto alla protezione dei dati personali in un sistema delle fonti multilivello, Editoriale Scientifica, 2018.

The legal system - The form of government - The system of sources - The constitutional level: the Constitution, the constitutional review laws and other constitutional laws - Constituted power and constituent power - Sources of primary level - The sources of secondary level - The sources of the European Union - The organization of the Parliament - The Government - The President of the Republic - The Constitutional Court - The Judiciary - Territorial autonomies - Public administration and administrative activity - Constitutional rights and freedoms

STUDENTS HAVE TO ACHIEVE 9 CFU:
F. Modugno (a cura di), Diritto pubblico, Giappichelli, Torino, V edizione, 2021, except:
CAP. I, §7
CAP. II, §§ 14, 15 e 16
CAP. III, §§ 3, 7 e 10
CAP. IV, § 11
CAP. VII, § 7
CAP. IX, §§ 5, 6, 7, 8 e 9
CAP. X, §§ 7
CAP. XI, §§ 1 e 7
CAP. XII §§ 8, 9, 10 e 11.

STUDENTS HAVE TO ACHIEVE 6 CFU:
F. Modugno (a cura di), Diritto pubblico, Giappichelli, Torino, V edizione, 2021, except:
CAP. I, §§ 7, 9 (except just pp. 98-104) e 10
CAP. II, §§ 11 (except just pp. 212-221), 13 (except just pp. 238-242), 14, 15 e 16
CAP. III, §§ 1, 2, 3, 7 e 10
CAP. IV, §§ 1 e 11
CAP. V, §§ 1 e 7
CAP. VII, §§ 1 e 7
CAP. VIII, §§ 3
CAP. IX, §§ 3, 4, 5, 6, 7, 8 e 9
CAP. X, §§ 7
CAP. XI, §§ 1, 4.1, 6 (except just pp. 752-755) e 7
CAP. XII §§ 1, 2, 3, 4, 8, 9, 10, 11 e 12.

Part I - Introduction and National accounts
0. Introduction to political economy. Organization of the class
1. National accounts
2. Economic indicators
Part II - Macroeconomics (short run)
3. Income-expenditure model in a closed economy
4. Income-expenditure model in an open economy
5. Money and financial markets
6. IS-LM model in a closed economy
7. IS-LM model in an open economy
Part III - Microeconomics (consumption, production, markets)
8. Consumption
9. Production and costs
10. Perfect competition
11. Monopoly
12. Oligopoly and introduction to game theory
Part IV - Microeconomics (prices, labor market, wages)
13. Prices
14. Labor market
15. Wages
Part V – Macroeconomics (medium run)
16. AD-AS and PS-WS models
17. Inflation and unemployment
18. Exchange rates regimes
Part VI - Intermediate political economy
19. Economic growth
20. Economic general equilibrium, Keynes, classical theory

O. Blanchard, A. Amighini, F. Giavazzi, Macroeconomia, Il Mulino, last edition, cap. 1,2,3,4,5,7,8,10,11,17,18,19,20
R. H. Frank, Microeconomia, McGraw Hill Italia, last edition, cap. 3,4,9,10,11,12,13.4,13.5,15.2,15.7
The basic materials for studying are contained in the slide of the lectures, available on the Moodle site of the course

Part I - Introduction and National accounts
0. Introduction to political economy. Organization of the class
1. National accounts
2. Economic indicators
Part II - Macroeconomics (short run)
3. Income-expenditure model in a closed economy
4. Income-expenditure model in an open economy
5. Money and financial markets
6. IS-LM model in a closed economy
7. IS-LM model in an open economy
Part III - Microeconomics (consumption, production, markets)
8. Consumption
9. Production and costs
10. Perfect competition
11. Monopoly
12. Oligopoly and introduction to game theory
Part IV - Microeconomics (prices, labor market, wages)
13. Prices
14. Labor market
15. Wages
Part V – Macroeconomics (medium run)
16. AD-AS and PS-WS models
17. Inflation and unemployment
18. Exchange rates regimes
Part VI - Intermediate political economy
19. Economic growth
20. Economic general equilibrium, Keynes, classical theory

O. Blanchard, A. Amighini, F. Giavazzi, Macroeconomia, Il Mulino, last edition, cap. 1,2,3,4,5,7,8,10,11,17,18,19,20
R. H. Frank, Microeconomia, McGraw Hill Italia, last edition, cap. 3,4,9,10,11,12,13.4,13.5,15.2,15.7
The basic materials for studying are contained in the slide of the lectures, available on the Moodle site of the course

Introductory lesson
1. Origin and development of political economy: the classical school, the marginalist school and the Keynesian revolution
Macroeconomics
1. National accounts
2. Economic and labor market indicators
3. The income-expenditure model
4. The IS-LM model
5. The WS-PS model and the Phillips curve
6. The IS-LM-PC model
7. Distribution, employment and growth: the post-Keynesian school
Microeconomics
2. Theory of consumption
to. The rational choice
b. Individual and market demand
3. Theory of production
to. Production
b. Costs
4. Market forms
to. The perfect competition
b. Monopoly and oligopoly
5. Supply of production factors
6. General Equilibrium
7. Alternative theories: outline

Blanchard, O., Amighini, A., & Giavazzi, F. (2021). Scoprire la macroeconomia. I. Quello che non si può non sapere. Il mulino. https://www.pandoracampus.it/store/details/10.978.8815/366351
R. H. Frank, Microeconomia, McGraw Hill Italia, ultima edizione https://www.mheducation.it/microeconomia-8-ed-con-connect-9788838697067-italy
Handouts and papers by the teacher

Microeconomics:
Part 1: Basic concepts (chapters 1, 2, 3)
- The Central Concepts of Economic
- Basic Elements of Supply and Demand

Parte 2: Supply, demand and competitive markets (chapters 4, 5, 6, 7)
- Demand and consumer behavior
- Production and technology
- Analysis of costs
- Competitive equilibrium

Part 3: Imperfect competition (chapters 8, 9, 10, 11, 12)
- Imperfect competition and monopoly
- Oligopoly and game theory
- Factor markets




Macroeconomics
Introduction
- What is Macroeconomics
- Some elements of the System of National Accounts

Part 1: The Short Run
- The Goods Market
- Financial Markets
- The IS-LM Model

Part 2: The Medium Run
- The Labor Market
- The Phillips Curve, the Natural Rate of Unemployment, and Inflation
- The IS-LM-PC Model

Part 3: Extensions
- The open economy and the Exchange Rate Regimes

- Paul Samuelson and William Nordhaus "Economics" ed. Mc Graw Hill
- Olivier Blanchard "Macroeconomics". ed. Pearson

Descriptive statistics:
variables and their measurement, univariate distributions, describing data with tables and graphs, measures of position, variability.
Bivariate descriptive statistics: independence, association, correlation, probability distributions for discrete and continuous variables, sampling distributions
Inference: estimation, hypothesis test, regression

A. Agresti, B. Finlay. Statistical methods for the social sciences. Pearson International Edition-4th edition (2009)

Descriptive statistics:
variables and their measurement, univariate distributions, describing data with tables and graphs, measures of position, variability.
Bivariate descriptive statistics: independence, association, correlation, probability distributions for discrete and continuous variables, sampling distributions
Inference: estimation, hypothesis test, regression

A. Agresti, B. Finlay. Statistical methods for the social sciences. Pearson International Edition-4th edition (2009)

Introduction
1. Hardware and software
2. Data storage and processing
3. Operating system
4. Networking and Internet
5. Algorithms

Word processing

Data sheet

No text book is required. Materials and useful links will be provided during the classes.

Module I - The theory of financial statements

Introduction to the study of financial statements.
The basic functions of financial statements.
The nature of operating income and working capital.
The purposes that can be assigned to financial statements.
Relationship between income, valuation criteria and purposes of financial statements.
The purposes of the financial statements in the business doctrine: the "alpha" and "beta" purposes.

Module II - The Financial Statements in the Civil Code

The documents of the balance sheet - Structure and content (art. 2423-ter - 2425 Civil Code)
The general clause and the principles for drawing up the financial statements (articles 2423 - 2423-bis Civil Code)
Special valuation criteria (art. 2426 Civil Code)
Tangible fixed assets
Intangible fixed assets
Securities and Equity Investments
Receivables
Assets and liabilities in foreign currency
Inventories (Lifo, Fifo, Cmp)
Contract work in progress
The contents of the Explanatory Notes and the Management Report on Operations

Module III - Accounting

Closing entries, general closing and reopening of accounts
Fixed assets - Accounting based on amortization, depreciation, write-downs and reinstatement of value
Equity investments - Accounting with the historical cost method and equity method
Foreign currency transactions - Accounting treatment
Inventories and contract work in progress - Accounting treatment

Module IV - Fundamentals of financial statement analysis

Modules I e II: Tutino M. (2017), Bilancio e nuovi OIC, Cedam
Module III: Paoloni M., Celli M. (2012), Introduzione alla contabilità generale, Cedam.
Module IV: Paolucci G. (2016), Analisi di bilancio, Hoepli.

Teaching materials available to students on the course web pages

Modul I - Financial reporting

Introduction to the financial reporting study
The basic functions of financial reporting
The nature of income and working capital
The attributable purposes of financial reporting
Relationship between income, evaluation criteria and purposes of financial reporting
The purposes of the financial reporting in the business administration literature: the "alpha" and "beta" purposes

Module II - The Financial Reporting in the Civil Code
From accounting to financial reporting (Closing entries, general closing and reopening of accounts)
The documents of the financial reporting: balance sheet, financial statement and cash flow statement: structure and content (artt. 2423-ter – 2425 c.c. – 2425 ter c.c.)
The general clause and the principles for drawing up the financial reporting (articles 2423 - 2423-bis Civil Code)
Special valuation criteria (art. 2426 Civil Code)
Tangible and intangible fixed assets
Securities and Equity Investments
Receivables
Assets and liabilities in foreign currency
Inventories (Lifo, Fifo, Cmp)
Contract work in progress
The contents of the Notes and the Management Report

Module III - harmonisation accounting process (IAS/IFRS)

Zanda G. (Il bilancio delle società, Giappichelli, Torino, 2007 (integrato con il vigente Codice civile, artt. dal 2423 al 2429 compresi)
Tutino M. (2017), Bilancio e nuovi OIC, Cedam
Paoloni M., Celli M. (2012), Introduzione alla contabilità generale, Cedam.

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 Italian Civil Code, articles from 2423 to 2429 included.

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, 4ª ed., Giappichelli, 2021
- L. ROSSI CARLEO, E. BELLISARIO, V. CUFFARO, Famiglia e successioni. Le forme di circolazione della ricchezza familiare, 5ª ed., Giappichelli, 2022 (excluded parr. from 6 to 12 of the Third Chapter; the Eighth Chapter and the Tenth Chapter)

To access the teaching material, it is necessary to enroll in Course AA22/23, on the Moodle platform.

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, 4ª ed., Giappichelli, 2021
- L. ROSSI CARLEO, E. BELLISARIO, V. CUFFARO, Famiglia e successioni. Le forme di circolazione della ricchezza familiare, 5ª ed., Giappichelli, 2022 (excluded parr. from 6 to 12 of the Third Chapter; the Eighth Chapter and the Tenth Chapter)

To access the teaching material, it is necessary to enroll in Course AA22/23, on the Moodle platform.

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.

1) Civil Code, latest edition;
2) Handbook of private law, latest edition.

The student can choose any Manual of private law, as long as it is in the latest edition.
By way of example, the following are reported:
- Torrente-Schlesinger, Manuale di diritto privato, Giuffrè, latest edition
- Bianca, Istituzioni di diritto privato, Giuffrè, latest edition
- Stanzione, Manuale di diritto privato, latest edition
- Roppo, Diritto Privato, latest edition
- Gabrielli, Diritto Privato, latest edition
- Iorio, Corso di diritto privato, Giappichelli, latest edition
- Mazzamuto, Manuale del diritto privato, Giappichelli, latest edition
- Perlingieri, Istituzioni di diritto civile, Esi, latest edition
- Trabucchi, Istituzioni di diritto civile, Wolters Kluwer - Cedam, latest edition
- Alpa, Manuale di diritto privato, Wolters Kluwer - Cedam, latest edition
- Zatti-Colussi, Lineamenti di diritto privato, Wolters Kluwer - Cedam, latest edition
- Galgano, Istituzioni di diritto privato, Wolters Kluwer - Cedam, latest edition

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. (2018), Financial Markets and Institutions, ninth edition, Pearson.

The course offers an overview of the roles and main functions of the financial system in a modern economy. The course covers the analysis of financial instruments and markets as well as the objectives, the organization and the management of financial intermediaries. The role of regulation and supervision is covered in the final set of lectures.
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. (2018), Financial Markets and Institutions (global edition), first edition, Pearson.

Introduction.
Banking intermediation theories
The real system and the financial system
Functions and structure of the financial system
The typical risks of financial intermediaries (1)
The typical risks of financial intermediaries (2)
Financial instruments and their classification
Payment instruments
Debt instruments elements of yield and risk assessment
Debt instruments: review
Participation instruments
Insurance instruments and derivative instruments
Insurance instruments and derivative instruments: review
Financial markets.
The architecture of financial supervision
Securities intermediation and its regulation
Securities intermediation and its regulation

Nadotti, L., Porzio, C., Previati, D. (2022). Economia degli intermediari finanziari. McGraw-Hill, Quarta Edizione

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.

Textbook : Sciarelli S., La gestione dell'impresa tra teoria e pratica aziendale, Wolter Kluwer, 2020.
Additional compulsory didactic material will be published on the course web page of the “Dipartimento di Economia Aziendale” website.

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., (XII ed. 2022) La gestione dell’impresa. Tra teoria e pratica aziendale, CEDAM;

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

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 program can be divided in four modules.

Part I
· Government bonds and corporate bonds
· Yiled curve
· Evaluation, return and risk of bonds

Part II
· Evaluation, return and risk of equity shares
· Markowitz Portfolio Selection and Capital Asset Pricing Model

Part III
· Investment services and asset allocation
· Asset allocation strategies
· Performance evaluation in asset allocation

Part IV
· Financial derivatives: forward, future, swap, option
· Investment certificates

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

Additional materials will be available in the course web page.

The course, articulated in a single module, will cover the following topics:
1. The entrepreneur (of any kind).
2. The rules set forth for the commercial enterprises.
2. Companies and other business organizations.
4. The joint-stock company and the limited partnership by shares.
5. Transformation, merger and spin-off.
6. The co-operative companies, the consortia and the joint-ventures.
7. Entrepreneur’s auxiliaries; the establishment.
8. Debt securities and promissory notes.
9. Bankruptcy (general principles).

L. De Angelis (edited by), Diritto commerciale, Wolters Kluwers/Cedam, last edition.
pages 1-93
pages 125-134
pages 137-709
pages 777-828
pages 887-922


V. Buonocore (conceived by), Manuale di diritto commerciale, Torino, Giappichelli, last edition, 2020:
pages 7-63
pages 103-126
pages 163-180
pages 181-700
pages 985-1044
pages 1045-1074
pages 1150-1164

It’s recommended studying the subject with an updated Civil Code, comprehensive of connected laws.

PART I:
BOND PORTFOLIO
Theory of bond portfolios. Bond market structure. Semi-deterministic theories of immunization.
STOCK PORTFOLIO
Financial decision theory in conditions of uncertainty. The logic of choosing between risky alternatives. The theory of expected utility. Insurance contracts and utility theory.
The mean-variance analysis. The market and portfolio choices. The second-order characteristics of the portfolio. Average-variance optimization. The determination of averages and covariance. Diversification and risk measures.
The Capital Asset Pricing Model. General considerations on expectations and risk in efficient markets. CAPM as a model of balance. Measurement and estimation issues. Extensions and applications.
REAL ESTATE INVESTMENT
Real estate investments. Characteristics of the real estate market. Selection and management of real estate portfolios.

PART II:
DERIVATIVES
Forward contracts. Forward contracts and markets. The arbitrage relationship between spot and forward prices. Spot exchange and forward exchange.
Futures contracts. Features. Daily readjustment mechanism. Futures and spot prices. Hedging and speculation with futures contracts. Futures on stock indices and on bonds.
Financial options. The logic of the options. Call and put options. European and American options. Arbitrage restrictions for the option price. The binomial model. The risk-neutral evaluation. The evaluation of American options. More general options.

Luenberger, D., Investment Science, OUP, 2013

PART I:
BOND PORTFOLIO
Theory of bond portfolios. Bond market structure. Semi-deterministic theories of immunization.
STOCK PORTFOLIO
Financial decision theory in conditions of uncertainty. The logic of choosing between risky alternatives. The theory of expected utility. Insurance contracts and utility theory.
The mean-variance analysis. The market and portfolio choices. The second-order characteristics of the portfolio. Average-variance optimization. The determination of averages and covariance. Diversification and risk measures.
The Capital Asset Pricing Model. General considerations on expectations and risk in efficient markets. CAPM as a model of balance. Measurement and estimation issues. Extensions and applications.
REAL ESTATE INVESTMENT
Real estate investments. Characteristics of the real estate market. Selection and management of real estate portfolios.

PART II:
DERIVATIVES
Forward contracts. Forward contracts and markets. The arbitrage relationship between spot and forward prices. Spot exchange and forward exchange.
Futures contracts. Features. Daily readjustment mechanism. Futures and spot prices. Hedging and speculation with futures contracts. Futures on stock indices and on bonds.
Financial options. The logic of the options. Call and put options. European and American options. Arbitrage restrictions for the option price. The binomial model. The risk-neutral evaluation. The evaluation of American options. More general options.

Luenberger, D., Investment Science, OUP, 2013

The most important topics of the course are as follows:

1. Business forms, separation between ownership and control, stock markets
2. Annual reports, balance sheet analysis and financial decision making
3. Net present value, the separation between consumption and investment, the law of one price, arbitrage
4. Time value of money, interest rates, cost of capital
5. Capital budgeting: cash flow estimation, DCF method, IRR, and alternative methods for valuing investments
6. Methods for estimating the price of stocks
7. Risk measures
8. Mean-variance models, portfolio diversification and the risk-return relationship
9. Capital asset pricing model (CAPM), beta and cost of capital
10. Capital structure and firm value in perfect markets (Modigliani and Miller theorems)
11. Debt and taxes
12. Bankruptcy costs, agency costs of debt and information asymmetries
13. Capital structure of Italian firms and international comparison
14. Weighted average cost of capital and adjusted present value (APV)
15. Capital budgeting with differrent capital structure policies

− Berk, J., DeMarzo, P., 2018. Finanza aziendale 1 - Fondamenti, Pearson, 4th edition, Chapters 1, 2, 3 (with Appendix), 4 (with Appendix), 5 (excluding Appendix), 7 (with Appendix), 8 (excluding section 8.5), 9 (with Appendix), 10, 11 (excluding Appendix), 12 (excluding section 12.4, with Appendix), 14, 15, 16, 18 (excluding section 18.4, with Appendix).

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, seconda edizione, Giappichelli, 2021

Second part: ACCRUAL ACCOUNTING
Paoloni M., Celli, M. (a cura di), Introduzione alla contabilità generale (2^edizione), CEDAM, 2020 (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 contabilità, 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

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

Caratteri generali: oggetto dell’azienda.
Soggetti aziendali: “soggetto giuridico” e “soggetto economico”.
Vari tipi di azienda: l’impresa e le aziende non profit.
L’impresa e l’iniziativa individuale: imprese private e imprese pubbliche.
La logica delle scelte nell’impresa.
La struttura decisionale ed il potere di controllo nell’impresa.
L’economicità aziendale e super aziendale.
L’efficienza e i costi di produzione.
Il finanziamento d’impresa.
Il fabbisogno finanziario e la sua determinazione.
Le fonti di finanziamento.
La relazione tra “capitale proprio” e “capitale di credito”.
Le determinazioni e le rilevazioni quantitative d’azienda come strumento d’informazione.
La natura del reddito e del capitale di impresa.
Teoria e metodo della Partita Doppia.
Il metodo della Partita Doppia applicato al sistema del reddito nelle aziende di produzione.
Le rilevazioni contabili delle operazioni di costituzione, acquisto, vendita, retribuzione dei dipendenti, riscossione e pagamento, finanziamento.
La formazione del bilancio di esercizio e la determinazione del reddito.
Scritture di assestamento, di chiusura e di riapertura dei conti.
Destinazione del reddito d’esercizio.
Capitale nominale e riserve nelle aziende di società.

G. Zanda - Fondamenti di economia aziendale - G. Giappichelli - Torino - 2015.

More textbook will be provided for the accounting entries part.

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

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

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

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

GENERAL MATHEMATICS PROGRAM a.a 2021-2022
I CHANNEL

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

Carl P. Simon, Lawrence Blume, Mathematics for economists, W.W. Norton and Company, 2010.
Only: Chapter 2, Chapter 3, Chapter 4, Chapter 5, Chapter 6, Chapter 7, Appendix 4.
http://disa.uniroma3.it/didattica/lauree-triennali/matematica-generale-n-o-ii-canale-d-k/

GENERAL MATHEMATICS PROGRAM a.a 2021-2022
I CHANNEL

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

Carl P. Simon, Lawrence Blume, Mathematics for economists, W.W. Norton and Company, 2010.
Only: Chapter 2, Chapter 3, Chapter 4, Chapter 5, Chapter 6, Chapter 7, Appendix 4.
http://disa.uniroma3.it/didattica/lauree-triennali/matematica-generale-n-o-ii-canale-d-k/

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

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

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

Carl P. Simon, Lawrence Blume, Mathematics for economists, W.W. Norton and Company, 2010.
Only: Chapter 2, Chapter 3, Chapter 4, Chapter 5, Chapter 6, Chapter 7, Appendix 4.

The legal system - The form of government - The system of sources - The constitutional level: the Constitution, the constitutional review laws and other constitutional laws - Constituted power and constituent power - Sources of primary level - The sources of secondary level - The sources of the European Union - The organization of the Parliament - The Government - The President of the Republic - The Constitutional Court - The Judiciary - Territorial autonomies - Public administration and administrative activity - Constitutional rights and freedoms

Exam for 9 CFU
F. Modugno (a cura di), Diritto pubblico, Giappichelli, Torino, V edizione, 2021, except:
CAP. I, §7
CAP. II, §§ 14, 15 e 16
CAP. III, §§ 3, 7 e 10
CAP. IV, § 11
CAP. VII, § 7
CAP. IX, §§ 5, 6, 7, 8 e 9
CAP. X, §§ 7
CAP. XI, §§ 1 e 7
CAP. XII §§ 8, 9, 10 e 11.

Exam for 6 CFU
F. Modugno (a cura di), Diritto pubblico, Giappichelli, Torino, V edizione, 2021, except:
CAP. I, §§ 7, 9 (except just pp. 98-104) e 10
CAP. II, §§ 11 (except just pp. 212-221), 13 (except just pp. 238-242), 14, 15 e 16
CAP. III, §§ 1, 2, 3, 7 e 10
CAP. IV, §§ 1 e 11
CAP. V, §§ 1 e 7
CAP. VII, §§ 1 e 7
CAP. VIII, §§ 3
CAP. IX, §§ 3, 4, 5, 6, 7, 8 e 9
CAP. X, §§ 7
CAP. XI, §§ 1, 4.1, 6 (except just pp. 752-755) e 7
CAP. XII §§ 1, 2, 3, 4, 8, 9, 10, 11 e 12.

The legal system - The form of government - The system of sources - The constitutional level: the Constitution, the constitutional review laws and other constitutional laws - Constituted power and constituent power - Sources of primary level - The sources of secondary level - The sources of the European Union - The organization of the Parliament - The Government - The President of the Republic - The Constitutional Court - The Judiciary - Territorial autonomies - Public administration and administrative activity - Constitutional rights and freedoms

Exam for 9 CFU
F. Modugno (a cura di), Diritto pubblico, Giappichelli, Torino, V edizione, 2021, except:
CAP. I, §7
CAP. II, §§ 14, 15 e 16
CAP. III, §§ 3, 7 e 10
CAP. IV, § 11
CAP. VII, § 7
CAP. IX, §§ 5, 6, 7, 8 e 9
CAP. X, §§ 7
CAP. XI, §§ 1 e 7
CAP. XII §§ 8, 9, 10 e 11.

Exam for 6 CFU
F. Modugno (a cura di), Diritto pubblico, Giappichelli, Torino, V edizione, 2021, except:
CAP. I, §§ 7, 9 (except just pp. 98-104) e 10
CAP. II, §§ 11 (except just pp. 212-221), 13 (except just pp. 238-242), 14, 15 e 16
CAP. III, §§ 1, 2, 3, 7 e 10
CAP. IV, §§ 1 e 11
CAP. V, §§ 1 e 7
CAP. VII, §§ 1 e 7
CAP. VIII, §§ 3
CAP. IX, §§ 3, 4, 5, 6, 7, 8 e 9
CAP. X, §§ 7
CAP. XI, §§ 1, 4.1, 6 (except just pp. 752-755) e 7
CAP. XII §§ 1, 2, 3, 4, 8, 9, 10, 11 e 12.

What is Public Law; The rule of law; Legal entities and subjective positions; The legal system; The forms of State; The forms of Government; The sources of law; The resolution criteria for antinomies; International law and European law; The Italian Constitution; The principle of legality; The legal reserve; The revision of the Constitution; The Constitutional Court; The economic Constitution; State and economy; The regulation of economic sectors; Fundamental rights; The principle of equality; The guarantee of LEPs; The subsidiarity principle; The principle of proportionality; Freedom rights and social rights in the welfare state; Right to work; Right to education; Right to health and Health National System; The balancing of rights; The right to the protection of personal data: analysis of the EU Regulation 679/2016 and national legislation; The Italian Parliament: bicameralism, composition, functions, internal organization, status of parliamentarians; Parliament in joint session; The functions of Parliament and the relationship of trust; The Government: formation process, relationship of trust, composition, functions; The President of the Republic: election, functions, responsibilities; Public administration; Public bodies; The authorities; The jurisdiction; The areas of competence of State and Regions; The general law on administrative procedure and access to the documents; Administrative acts.

F. Modugno (a cura di), Diritto pubblico, V edizione, Giappichelli, 2021.

as an alternative

T. Groppi – A. Simoncini, Introduzione allo studio del diritto pubblico e delle sue fonti, VI edizione, Giappichelli, 2023;
in addition to
C. Colapietro, Il diritto alla protezione dei dati personali in un sistema delle fonti multilivello, Editoriale Scientifica, 2018.

The legal system - The form of government - The system of sources - The constitutional level: the Constitution, the constitutional review laws and other constitutional laws - Constituted power and constituent power - Sources of primary level - The sources of secondary level - The sources of the European Union - The organization of the Parliament - The Government - The President of the Republic - The Constitutional Court - The Judiciary - Territorial autonomies - Public administration and administrative activity - Constitutional rights and freedoms

STUDENTS HAVE TO ACHIEVE 9 CFU:
F. Modugno (a cura di), Diritto pubblico, Giappichelli, Torino, V edizione, 2021, except:
CAP. I, §7
CAP. II, §§ 14, 15 e 16
CAP. III, §§ 3, 7 e 10
CAP. IV, § 11
CAP. VII, § 7
CAP. IX, §§ 5, 6, 7, 8 e 9
CAP. X, §§ 7
CAP. XI, §§ 1 e 7
CAP. XII §§ 8, 9, 10 e 11.

STUDENTS HAVE TO ACHIEVE 6 CFU:
F. Modugno (a cura di), Diritto pubblico, Giappichelli, Torino, V edizione, 2021, except:
CAP. I, §§ 7, 9 (except just pp. 98-104) e 10
CAP. II, §§ 11 (except just pp. 212-221), 13 (except just pp. 238-242), 14, 15 e 16
CAP. III, §§ 1, 2, 3, 7 e 10
CAP. IV, §§ 1 e 11
CAP. V, §§ 1 e 7
CAP. VII, §§ 1 e 7
CAP. VIII, §§ 3
CAP. IX, §§ 3, 4, 5, 6, 7, 8 e 9
CAP. X, §§ 7
CAP. XI, §§ 1, 4.1, 6 (except just pp. 752-755) e 7
CAP. XII §§ 1, 2, 3, 4, 8, 9, 10, 11 e 12.

Part I - Introduction and National accounts
0. Introduction to political economy. Organization of the class
1. National accounts
2. Economic indicators
Part II - Macroeconomics (short run)
3. Income-expenditure model in a closed economy
4. Income-expenditure model in an open economy
5. Money and financial markets
6. IS-LM model in a closed economy
7. IS-LM model in an open economy
Part III - Microeconomics (consumption, production, markets)
8. Consumption
9. Production and costs
10. Perfect competition
11. Monopoly
12. Oligopoly and introduction to game theory
Part IV - Microeconomics (prices, labor market, wages)
13. Prices
14. Labor market
15. Wages
Part V – Macroeconomics (medium run)
16. AD-AS and PS-WS models
17. Inflation and unemployment
18. Exchange rates regimes
Part VI - Intermediate political economy
19. Economic growth
20. Economic general equilibrium, Keynes, classical theory

O. Blanchard, A. Amighini, F. Giavazzi, Macroeconomia, Il Mulino, last edition, cap. 1,2,3,4,5,7,8,10,11,17,18,19,20
R. H. Frank, Microeconomia, McGraw Hill Italia, last edition, cap. 3,4,9,10,11,12,13.4,13.5,15.2,15.7
The basic materials for studying are contained in the slide of the lectures, available on the Moodle site of the course

Part I - Introduction and National accounts
0. Introduction to political economy. Organization of the class
1. National accounts
2. Economic indicators
Part II - Macroeconomics (short run)
3. Income-expenditure model in a closed economy
4. Income-expenditure model in an open economy
5. Money and financial markets
6. IS-LM model in a closed economy
7. IS-LM model in an open economy
Part III - Microeconomics (consumption, production, markets)
8. Consumption
9. Production and costs
10. Perfect competition
11. Monopoly
12. Oligopoly and introduction to game theory
Part IV - Microeconomics (prices, labor market, wages)
13. Prices
14. Labor market
15. Wages
Part V – Macroeconomics (medium run)
16. AD-AS and PS-WS models
17. Inflation and unemployment
18. Exchange rates regimes
Part VI - Intermediate political economy
19. Economic growth
20. Economic general equilibrium, Keynes, classical theory

O. Blanchard, A. Amighini, F. Giavazzi, Macroeconomia, Il Mulino, last edition, cap. 1,2,3,4,5,7,8,10,11,17,18,19,20
R. H. Frank, Microeconomia, McGraw Hill Italia, last edition, cap. 3,4,9,10,11,12,13.4,13.5,15.2,15.7
The basic materials for studying are contained in the slide of the lectures, available on the Moodle site of the course

Introductory lesson
1. Origin and development of political economy: the classical school, the marginalist school and the Keynesian revolution
Macroeconomics
1. National accounts
2. Economic and labor market indicators
3. The income-expenditure model
4. The IS-LM model
5. The WS-PS model and the Phillips curve
6. The IS-LM-PC model
7. Distribution, employment and growth: the post-Keynesian school
Microeconomics
2. Theory of consumption
to. The rational choice
b. Individual and market demand
3. Theory of production
to. Production
b. Costs
4. Market forms
to. The perfect competition
b. Monopoly and oligopoly
5. Supply of production factors
6. General Equilibrium
7. Alternative theories: outline

Blanchard, O., Amighini, A., & Giavazzi, F. (2021). Scoprire la macroeconomia. I. Quello che non si può non sapere. Il mulino. https://www.pandoracampus.it/store/details/10.978.8815/366351
R. H. Frank, Microeconomia, McGraw Hill Italia, ultima edizione https://www.mheducation.it/microeconomia-8-ed-con-connect-9788838697067-italy
Handouts and papers by the teacher

Microeconomics:
Part 1: Basic concepts (chapters 1, 2, 3)
- The Central Concepts of Economic
- Basic Elements of Supply and Demand

Parte 2: Supply, demand and competitive markets (chapters 4, 5, 6, 7)
- Demand and consumer behavior
- Production and technology
- Analysis of costs
- Competitive equilibrium

Part 3: Imperfect competition (chapters 8, 9, 10, 11, 12)
- Imperfect competition and monopoly
- Oligopoly and game theory
- Factor markets




Macroeconomics
Introduction
- What is Macroeconomics
- Some elements of the System of National Accounts

Part 1: The Short Run
- The Goods Market
- Financial Markets
- The IS-LM Model

Part 2: The Medium Run
- The Labor Market
- The Phillips Curve, the Natural Rate of Unemployment, and Inflation
- The IS-LM-PC Model

Part 3: Extensions
- The open economy and the Exchange Rate Regimes

- Paul Samuelson and William Nordhaus "Economics" ed. Mc Graw Hill
- Olivier Blanchard "Macroeconomics". ed. Pearson

Descriptive statistics:
variables and their measurement, univariate distributions, describing data with tables and graphs, measures of position, variability.
Bivariate descriptive statistics: independence, association, correlation, probability distributions for discrete and continuous variables, sampling distributions
Inference: estimation, hypothesis test, regression

A. Agresti, B. Finlay. Statistical methods for the social sciences. Pearson International Edition-4th edition (2009)

Descriptive statistics:
variables and their measurement, univariate distributions, describing data with tables and graphs, measures of position, variability.
Bivariate descriptive statistics: independence, association, correlation, probability distributions for discrete and continuous variables, sampling distributions
Inference: estimation, hypothesis test, regression

A. Agresti, B. Finlay. Statistical methods for the social sciences. Pearson International Edition-4th edition (2009)

Introduction
1. Hardware and software
2. Data storage and processing
3. Operating system
4. Networking and Internet
5. Algorithms

Word processing

Data sheet

No text book is required. Materials and useful links will be provided during the classes.

Module I - The theory of financial statements

Introduction to the study of financial statements.
The basic functions of financial statements.
The nature of operating income and working capital.
The purposes that can be assigned to financial statements.
Relationship between income, valuation criteria and purposes of financial statements.
The purposes of the financial statements in the business doctrine: the "alpha" and "beta" purposes.

Module II - The Financial Statements in the Civil Code

The documents of the balance sheet - Structure and content (art. 2423-ter - 2425 Civil Code)
The general clause and the principles for drawing up the financial statements (articles 2423 - 2423-bis Civil Code)
Special valuation criteria (art. 2426 Civil Code)
Tangible fixed assets
Intangible fixed assets
Securities and Equity Investments
Receivables
Assets and liabilities in foreign currency
Inventories (Lifo, Fifo, Cmp)
Contract work in progress
The contents of the Explanatory Notes and the Management Report on Operations

Module III - Accounting

Closing entries, general closing and reopening of accounts
Fixed assets - Accounting based on amortization, depreciation, write-downs and reinstatement of value
Equity investments - Accounting with the historical cost method and equity method
Foreign currency transactions - Accounting treatment
Inventories and contract work in progress - Accounting treatment

Module IV - Fundamentals of financial statement analysis

Modules I e II: Tutino M. (2017), Bilancio e nuovi OIC, Cedam
Module III: Paoloni M., Celli M. (2012), Introduzione alla contabilità generale, Cedam.
Module IV: Paolucci G. (2016), Analisi di bilancio, Hoepli.

Teaching materials available to students on the course web pages

Modul I - Financial reporting

Introduction to the financial reporting study
The basic functions of financial reporting
The nature of income and working capital
The attributable purposes of financial reporting
Relationship between income, evaluation criteria and purposes of financial reporting
The purposes of the financial reporting in the business administration literature: the "alpha" and "beta" purposes

Module II - The Financial Reporting in the Civil Code
From accounting to financial reporting (Closing entries, general closing and reopening of accounts)
The documents of the financial reporting: balance sheet, financial statement and cash flow statement: structure and content (artt. 2423-ter – 2425 c.c. – 2425 ter c.c.)
The general clause and the principles for drawing up the financial reporting (articles 2423 - 2423-bis Civil Code)
Special valuation criteria (art. 2426 Civil Code)
Tangible and intangible fixed assets
Securities and Equity Investments
Receivables
Assets and liabilities in foreign currency
Inventories (Lifo, Fifo, Cmp)
Contract work in progress
The contents of the Notes and the Management Report

Module III - harmonisation accounting process (IAS/IFRS)

Zanda G. (Il bilancio delle società, Giappichelli, Torino, 2007 (integrato con il vigente Codice civile, artt. dal 2423 al 2429 compresi)
Tutino M. (2017), Bilancio e nuovi OIC, Cedam
Paoloni M., Celli M. (2012), Introduzione alla contabilità generale, Cedam.

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 Italian Civil Code, articles from 2423 to 2429 included.

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, 4ª ed., Giappichelli, 2021
- L. ROSSI CARLEO, E. BELLISARIO, V. CUFFARO, Famiglia e successioni. Le forme di circolazione della ricchezza familiare, 5ª ed., Giappichelli, 2022 (excluded parr. from 6 to 12 of the Third Chapter; the Eighth Chapter and the Tenth Chapter)

To access the teaching material, it is necessary to enroll in Course AA22/23, on the Moodle platform.

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, 4ª ed., Giappichelli, 2021
- L. ROSSI CARLEO, E. BELLISARIO, V. CUFFARO, Famiglia e successioni. Le forme di circolazione della ricchezza familiare, 5ª ed., Giappichelli, 2022 (excluded parr. from 6 to 12 of the Third Chapter; the Eighth Chapter and the Tenth Chapter)

To access the teaching material, it is necessary to enroll in Course AA22/23, on the Moodle platform.

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.

1) Civil Code, latest edition;
2) Handbook of private law, latest edition.

The student can choose any Manual of private law, as long as it is in the latest edition.
By way of example, the following are reported:
- Torrente-Schlesinger, Manuale di diritto privato, Giuffrè, latest edition
- Bianca, Istituzioni di diritto privato, Giuffrè, latest edition
- Stanzione, Manuale di diritto privato, latest edition
- Roppo, Diritto Privato, latest edition
- Gabrielli, Diritto Privato, latest edition
- Iorio, Corso di diritto privato, Giappichelli, latest edition
- Mazzamuto, Manuale del diritto privato, Giappichelli, latest edition
- Perlingieri, Istituzioni di diritto civile, Esi, latest edition
- Trabucchi, Istituzioni di diritto civile, Wolters Kluwer - Cedam, latest edition
- Alpa, Manuale di diritto privato, Wolters Kluwer - Cedam, latest edition
- Zatti-Colussi, Lineamenti di diritto privato, Wolters Kluwer - Cedam, latest edition
- Galgano, Istituzioni di diritto privato, Wolters Kluwer - Cedam, latest edition

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. (2018), Financial Markets and Institutions, ninth edition, Pearson.

The course offers an overview of the roles and main functions of the financial system in a modern economy. The course covers the analysis of financial instruments and markets as well as the objectives, the organization and the management of financial intermediaries. The role of regulation and supervision is covered in the final set of lectures.
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. (2018), Financial Markets and Institutions (global edition), first edition, Pearson.

Introduction.
Banking intermediation theories
The real system and the financial system
Functions and structure of the financial system
The typical risks of financial intermediaries (1)
The typical risks of financial intermediaries (2)
Financial instruments and their classification
Payment instruments
Debt instruments elements of yield and risk assessment
Debt instruments: review
Participation instruments
Insurance instruments and derivative instruments
Insurance instruments and derivative instruments: review
Financial markets.
The architecture of financial supervision
Securities intermediation and its regulation
Securities intermediation and its regulation

Nadotti, L., Porzio, C., Previati, D. (2022). Economia degli intermediari finanziari. McGraw-Hill, Quarta Edizione

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.

Textbook : Sciarelli S., La gestione dell'impresa tra teoria e pratica aziendale, Wolter Kluwer, 2020.
Additional compulsory didactic material will be published on the course web page of the “Dipartimento di Economia Aziendale” website.

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., (XII ed. 2022) La gestione dell’impresa. Tra teoria e pratica aziendale, CEDAM;

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

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 course, articulated in a single module, will cover the following topics:
1. The entrepreneur (of any kind).
2. The rules set forth for the commercial enterprises.
2. Companies and other business organizations.
4. The joint-stock company and the limited partnership by shares.
5. Transformation, merger and spin-off.
6. The co-operative companies, the consortia and the joint-ventures.
7. Entrepreneur’s auxiliaries; the establishment.
8. Debt securities and promissory notes.
9. Bankruptcy (general principles).

L. De Angelis (edited by), Diritto commerciale, Wolters Kluwers/Cedam, last edition.
pages 1-93
pages 125-134
pages 137-709
pages 777-828
pages 887-922


V. Buonocore (conceived by), Manuale di diritto commerciale, Torino, Giappichelli, last edition, 2020:
pages 7-63
pages 103-126
pages 163-180
pages 181-700
pages 985-1044
pages 1045-1074
pages 1150-1164

It’s recommended studying the subject with an updated Civil Code, comprehensive of connected laws.

Introduction to marketing management and market orientation, context analysis, consumer behavior, demand segmentation, business to business marketing, competitors analysis, marketing strategy: target, positioning and objectives, corporate strategy, decisions related to the product and service, price, distribution and communication, digital marketing, CRM, brand management and internationalization.

Peter, Donnelly, Pratesi, Marketing, McGraw Hill (most recent edition)

Introduction to marketing management and market orientation, context analysis, consumer behavior, demand segmentation, business to business marketing, competitors analysis, marketing strategy: target, positioning and objectives, corporate strategy, decisions related to the product and service, price, distribution and communication, digital marketing, CRM, brand management and internationalization.

Peter, Donnelly, Pratesi, Marketing, McGraw Hill (most recent edition)

1. Introduction: the characteristics of the field of study and the specificities of "Business Organization"
2. The organizational literature: an outline of the history of organizational thought
3. The organizational design choices (organizational design): the levels of analysis and intervention
4. Decisions about for work design A theoretical study: the analysis and discussion of the theory of the Scientific Management by Frederick Taylor
4.2 The reassembly of the divided work: the job redesign approach and the socio-technical approach
4.3 The post-Fordist approaches: Human Relation; Human Resource; socio-technical approach
4.4 The new forms of work organization: Industry 4.0, Flexible work arrangements,Platform
5. Human Resources Management
5.1 Phases, activities and methodologies
5.2 Actors of the HRM
5.3 The analysis of positions: tools and methods adopted in business practice
6. Work process design choices (inter-organizational relations): post-Fordism solutions and organizational techniques
7. Design choices of the organizational structure (business structure)
7.1 The problem of choosing the "formal configuration" of the organization: the origins of the topic in the literature
7.2 Traditional organizational structures: the functional structure, the divisional structure (the M form), the matrix structure.
7.3 The "post-Fordist" organizational structures: the process structure, the modular structure, the internal network.
7.4 Business groups and Holding companies
8. Design choices of organizational boundaries
8.1 The problem of the "boundaries" of the firm: origins and evolution of the literature on the subject
8.2 Outsourcing choices
8.3. Alliances and collaboration agreements between companies (motivations and contractual forms)
8.4 Business networks (outline)

The textbook is under revision. Additional readings will be posted online at the beginning of the course

1. Introduction: the characteristics of the field of study and the specificities of "Business Organization"

2. The organizational literature: an outline of the history of organizational thought

3. The organizational design choices (organizational design): the levels of analysis and intervention

4. Decisions about for work design A theoretical study: the analysis and discussion of the theory of the Scientific Management by Frederick Taylor
4.2 The reassembly of the divided work: the job redesign approach and the socio-technical approach
4.3 The post-Fordist approaches: Human Relation; Human Resource; socio-technical approach
4.4 The new forms of work organization: Industry 4.0 and Flexible work arrangements

5. Human Resources Management
5.1 Phases, activities and methodologies
5.2 Actors of the HRM
5.3 The analysis of positions: tools and methods adopted in business practice

6. Work process design choices (inter-organizational relations): post-Fordism solutions and organizational techniques

7. Design choices of the organizational structure (business structure)
7.1 The problem of choosing the "formal configuration" of the organization: the origins of the topic in the literature
7.2 Traditional organizational structures: the functional structure, the divisional structure (the M form), the matrix structure.
7.3 The "post-Fordist" organizational structures: the process structure, the modular structure, the internal network.
7.4 Business groups and Holding companies

8. Design choices of organizational boundaries
8.1 The problem of the "boundaries" of the firm: origins and evolution of the literature on the subject
8.2 Outsourcing choices
8.3. Alliances and collaboration agreements between companies (motivations and contractual forms)
8.4 Business networks (outline)

The textbook is under revision. Additional readings will be posted online at the beginning of the course

1. Introduction: the characteristics of the field of study and the specificities of "Business Organization"
2. The organizational literature: an outline of the history of organizational thought
3. The organizational design choices (organizational design): the levels of analysis and intervention
4. Work design choices
4.1 A theoretical study: the analysis and discussion of the theory of the Scientific Management by Frederick Taylor
4.2 The reassembly of the divided work: the job redesign approach and the socio-technical approach
4.3 The post-Fordist approaches: Human Relation; Human Resource; socio-technical approach
4.4 The new forms of work organization: Industry 4.0 and Flexible work arrangements
5. Human Resources Management
5.1 Phases, activities and methodologies
5.2 Actors of the HRM
5.3 The analysis of positions: tools and methods adopted in business practice
6. Work process design choices (inter-organizational relations): post-Fordism solutions and organizational techniques
7. Design choices of the organizational structure (business structure)
7.1 The problem of choosing the "formal configuration" of the organization: the origins of the topic in the literature
7.2 Traditional organizational structures: the functional structure, the divisional structure (the M form), the matrix structure.
7.3 The "post-Fordist" organizational structures: the process structure, the modular structure, the internal network.
7.4 Business groups and Holding companies8. Design choices of organizational boundaries
8.1 The problem of the "boundaries" of the firm: origins and evolution of the literature on the subject
8.2 Outsourcing choices
8.3. Alliances and collaboration agreements between companies (motivations and contractual forms)
8.4 Business networks (outline)

The textbook is under revision. Additional readings will be posted online at the beginning of the course

1. Introduction: the characteristics of the field of study and the specificities of "Business Organization"

2. The organizational literature: an outline of the history of organizational thought

3. The organizational design choices (organizational design): the levels of analysis and intervention

4. Decisions about for work design A theoretical study: the analysis and discussion of the theory of the Scientific Management by Frederick Taylor
4.2 The reassembly of the divided work: the job redesign approach and the socio-technical approach
4.3 The post-Fordist approaches: Human Relation; Human Resource; socio-technical approach
4.4 The new forms of work organization: Industry 4.0 and Flexible work arrangements

5. Human Resources Management
5.1 Phases, activities and methodologies
5.2 Actors of the HRM
5.3 The analysis of positions: tools and methods adopted in business practice

6. Work process design choices (inter-organizational relations): post-Fordism solutions and organizational techniques

7. Design choices of the organizational structure (business structure)
7.1 The problem of choosing the "formal configuration" of the organization: the origins of the topic in the literature
7.2 Traditional organizational structures: the functional structure, the divisional structure (the M form), the matrix structure.
7.3 The "post-Fordist" organizational structures: the process structure, the modular structure, the internal network.
7.4 Business groups and Holding companies

8. Design choices of organizational boundaries
8.1 The problem of the "boundaries" of the firm: origins and evolution of the literature on the subject
8.2 Outsourcing choices
8.3. Alliances and collaboration agreements between companies (motivations and contractual forms)
8.4 Business networks (outline)

The textbook is under revision. Additional readings will be posted online at the beginning of the course

Module I - The theory of financial statements

Introduction to the study of financial statements.
The basic functions of financial statements.
The nature of operating income and working capital.
The purposes that can be assigned to financial statements.
Relationship between income, valuation criteria and purposes of financial statements.
The purposes of the financial statements in the business doctrine: the "alpha" and "beta" purposes.

Module II - The Financial Statements in the Civil Code

The documents of the balance sheet - Structure and content (art. 2423-ter - 2425 Civil Code)
The general clause and the principles for drawing up the financial statements (articles 2423 - 2423-bis Civil Code)
Special valuation criteria (art. 2426 Civil Code)
Tangible fixed assets
Intangible fixed assets
Securities and Equity Investments
Receivables
Assets and liabilities in foreign currency
Inventories (Lifo, Fifo, Cmp)
Contract work in progress
The contents of the Explanatory Notes and the Management Report on Operations

Module III - Accounting

Closing entries, general closing and reopening of accounts
Fixed assets - Accounting based on amortization, depreciation, write-downs and reinstatement of value
Equity investments - Accounting with the historical cost method and equity method
Foreign currency transactions - Accounting treatment
Inventories and contract work in progress - Accounting treatment

Module IV - Fundamentals of financial statement analysis

Modules I e II: Tutino M. (2017), Bilancio e nuovi OIC, Cedam
Module III: Paoloni M., Celli M. (2012), Introduzione alla contabilità generale, Cedam.
Module IV: Paolucci G. (2016), Analisi di bilancio, Hoepli.

Teaching materials available to students on the course web pages

Modul I - Financial reporting

Introduction to the financial reporting study
The basic functions of financial reporting
The nature of income and working capital
The attributable purposes of financial reporting
Relationship between income, evaluation criteria and purposes of financial reporting
The purposes of the financial reporting in the business administration literature: the "alpha" and "beta" purposes

Module II - The Financial Reporting in the Civil Code
From accounting to financial reporting (Closing entries, general closing and reopening of accounts)
The documents of the financial reporting: balance sheet, financial statement and cash flow statement: structure and content (artt. 2423-ter – 2425 c.c. – 2425 ter c.c.)
The general clause and the principles for drawing up the financial reporting (articles 2423 - 2423-bis Civil Code)
Special valuation criteria (art. 2426 Civil Code)
Tangible and intangible fixed assets
Securities and Equity Investments
Receivables
Assets and liabilities in foreign currency
Inventories (Lifo, Fifo, Cmp)
Contract work in progress
The contents of the Notes and the Management Report

Module III - harmonisation accounting process (IAS/IFRS)

Zanda G. (Il bilancio delle società, Giappichelli, Torino, 2007 (integrato con il vigente Codice civile, artt. dal 2423 al 2429 compresi)
Tutino M. (2017), Bilancio e nuovi OIC, Cedam
Paoloni M., Celli M. (2012), Introduzione alla contabilità generale, Cedam.

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 Italian Civil Code, articles from 2423 to 2429 included.

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, 4ª ed., Giappichelli, 2021
- L. ROSSI CARLEO, E. BELLISARIO, V. CUFFARO, Famiglia e successioni. Le forme di circolazione della ricchezza familiare, 5ª ed., Giappichelli, 2022 (excluded parr. from 6 to 12 of the Third Chapter; the Eighth Chapter and the Tenth Chapter)

To access the teaching material, it is necessary to enroll in Course AA22/23, on the Moodle platform.

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, 4ª ed., Giappichelli, 2021
- L. ROSSI CARLEO, E. BELLISARIO, V. CUFFARO, Famiglia e successioni. Le forme di circolazione della ricchezza familiare, 5ª ed., Giappichelli, 2022 (excluded parr. from 6 to 12 of the Third Chapter; the Eighth Chapter and the Tenth Chapter)

To access the teaching material, it is necessary to enroll in Course AA22/23, on the Moodle platform.

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.

1) Civil Code, latest edition;
2) Handbook of private law, latest edition.

The student can choose any Manual of private law, as long as it is in the latest edition.
By way of example, the following are reported:
- Torrente-Schlesinger, Manuale di diritto privato, Giuffrè, latest edition
- Bianca, Istituzioni di diritto privato, Giuffrè, latest edition
- Stanzione, Manuale di diritto privato, latest edition
- Roppo, Diritto Privato, latest edition
- Gabrielli, Diritto Privato, latest edition
- Iorio, Corso di diritto privato, Giappichelli, latest edition
- Mazzamuto, Manuale del diritto privato, Giappichelli, latest edition
- Perlingieri, Istituzioni di diritto civile, Esi, latest edition
- Trabucchi, Istituzioni di diritto civile, Wolters Kluwer - Cedam, latest edition
- Alpa, Manuale di diritto privato, Wolters Kluwer - Cedam, latest edition
- Zatti-Colussi, Lineamenti di diritto privato, Wolters Kluwer - Cedam, latest edition
- Galgano, Istituzioni di diritto privato, Wolters Kluwer - Cedam, latest edition

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

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

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

E. Chiacchierini " Tecnologia e Produzione" Ed. CEDAM 2012
Cap. 1 (in parte pag.1/15 e 82/97 )
Cap. 2 tutto
Cap. 3 (in parte pag 155/186, da 187 cenni)
Cap. 4 tutto
Cap 5 tutto

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

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.

Textbook : Sciarelli S., La gestione dell'impresa tra teoria e pratica aziendale, Wolter Kluwer, 2020.
Additional compulsory didactic material will be published on the course web page of the “Dipartimento di Economia Aziendale” website.

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., (XII ed. 2022) La gestione dell’impresa. Tra teoria e pratica aziendale, CEDAM;

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

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 course, articulated in a single module, will cover the following topics:
1. The entrepreneur (of any kind).
2. The rules set forth for the commercial enterprises.
2. Companies and other business organizations.
4. The joint-stock company and the limited partnership by shares.
5. Transformation, merger and spin-off.
6. The co-operative companies, the consortia and the joint-ventures.
7. Entrepreneur’s auxiliaries; the establishment.
8. Debt securities and promissory notes.
9. Bankruptcy (general principles).

L. De Angelis (edited by), Diritto commerciale, Wolters Kluwers/Cedam, last edition.
pages 1-93
pages 125-134
pages 137-709
pages 777-828
pages 887-922


V. Buonocore (conceived by), Manuale di diritto commerciale, Torino, Giappichelli, last edition, 2020:
pages 7-63
pages 103-126
pages 163-180
pages 181-700
pages 985-1044
pages 1045-1074
pages 1150-1164

It’s recommended studying the subject with an updated Civil Code, comprehensive of connected laws.

Introduction to marketing management and market orientation, context analysis, consumer behavior, demand segmentation, business to business marketing, competitors analysis, marketing strategy: target, positioning and objectives, corporate strategy, decisions related to the product and service, price, distribution and communication, digital marketing, CRM, brand management and internationalization.

Peter, Donnelly, Pratesi, Marketing, McGraw Hill (most recent edition)

Introduction to marketing management and market orientation, context analysis, consumer behavior, demand segmentation, business to business marketing, competitors analysis, marketing strategy: target, positioning and objectives, corporate strategy, decisions related to the product and service, price, distribution and communication, digital marketing, CRM, brand management and internationalization.

Peter, Donnelly, Pratesi, Marketing, McGraw Hill (most recent edition)

The course focuses on the law relating to:-
- consumer contracts
- unfair contract terms
- unfair commercial practices
- consumer protection remedies
- new digital technologies and consumer rights

Diritti e tutele dei consumatori, a cura di G. Recinto, L. Mezzasoma, S. Cherti, Esi, 2014
Diritto dei consumi, a cura di L. Rossi Carleo, Giappichelli, 2015

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, seconda edizione, Giappichelli, 2021

Second part: ACCRUAL ACCOUNTING
Paoloni M., Celli, M. (a cura di), Introduzione alla contabilità generale (2^edizione), CEDAM, 2020 (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 contabilità, 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

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

Caratteri generali: oggetto dell’azienda.
Soggetti aziendali: “soggetto giuridico” e “soggetto economico”.
Vari tipi di azienda: l’impresa e le aziende non profit.
L’impresa e l’iniziativa individuale: imprese private e imprese pubbliche.
La logica delle scelte nell’impresa.
La struttura decisionale ed il potere di controllo nell’impresa.
L’economicità aziendale e super aziendale.
L’efficienza e i costi di produzione.
Il finanziamento d’impresa.
Il fabbisogno finanziario e la sua determinazione.
Le fonti di finanziamento.
La relazione tra “capitale proprio” e “capitale di credito”.
Le determinazioni e le rilevazioni quantitative d’azienda come strumento d’informazione.
La natura del reddito e del capitale di impresa.
Teoria e metodo della Partita Doppia.
Il metodo della Partita Doppia applicato al sistema del reddito nelle aziende di produzione.
Le rilevazioni contabili delle operazioni di costituzione, acquisto, vendita, retribuzione dei dipendenti, riscossione e pagamento, finanziamento.
La formazione del bilancio di esercizio e la determinazione del reddito.
Scritture di assestamento, di chiusura e di riapertura dei conti.
Destinazione del reddito d’esercizio.
Capitale nominale e riserve nelle aziende di società.

G. Zanda - Fondamenti di economia aziendale - G. Giappichelli - Torino - 2015.

More textbook will be provided for the accounting entries part.