N and induction principle, Newton binomial; Z, integers modulo n; Q, axiomatic construction of R, Archimedean property, density of Q in R, powers with real exponent; complex numbers, polar representation and n-th roots of the unit; rudiments of topology of R (isolated and accumulation points, open / closed sets); real functions of a real variable, domain, co-domain, and inverse functions; Limits of functions and their properties, limits of monotone functions ; limits of sequences, significant limits, Nepero number, bridge theorem infinite series and convergence, geometric series, convergence tests for series with positive terms (comparison, asymptotic comparison, root, ratio, condensation) and for generic series (absolute convergence, Leibniz); continuous functions and their properties, continuity of elementary functions, types of discontinuities and monotone functions, fundamental theorems on continuous functions (zeros, intermediate values, Weierstrass); derivatives of a functions, derivatives of elementary functions, fundamental theorems of differential calculus (Fermat, Rolle, Cauchy, Lagrange, de l' Hospital, Taylor's formula), monotony and sign of the derivative , local maxima /minima, convex / concave functions; graph of a function; Riemann integral and its properties, integrability of continuous functions, primitive of elementary functions, I and II fundamental theorem of (integral) calculus; integration by substitution and by parts, rational functions, some special substitutions; improper integrals; Taylor series expansions, expansions of some elementary functions.

A. Laforgia, Calcolo differenziale e integrale, Ed. Accademica;
P. Marcellini e C. Sbordone, Esercizi di Matematica, Vol. 1, tomi 1--4, Ed. Liguori;

Numerical sets (N, Z, Q and R), R assiomatic construction of R by upper extremity, Archimede properties, Q in R density, N construction and induction principle, Newton binomial and combinatorial calculus, Inequality of Bernoulli; Topology elements in R (isolated and accumulated points, open / closed sets and characterization, closure of a set) and Bolzano-Weierstrass theorem; Complex numbers, polar representation and n-th roots of the unit; Real functions of real variable, domain, co-domain, and inverse functions; Function and property limits, monotone function limits; Succession limits, significant limits, Nepero number, bridge theorem, limsup / liminf, sequences and topology, compact sets, and characterization; Continuous functions and their properties, continuity of elementary functions, types of discontinuities and monotone functions, fundamental theorems on continuous functions (zeros, intermediate values, Weierstrass); Function and function derivative, elementary function derivatives, fundamental theorems of differential calculus (Fermat, Rolle, Cauchy, Lagrange, de Hopital, Taylor's formula), monotony and derivative sign, local degradation maxima / minima, convex functions / concave; Function graph; Integration according to Riemann and property, integrability of continuous functions, primitive elementary functions, I and II fundamental theorem of integral calculation, integration for substitution and parts, rational functions, some special replacements; Numerical series and convergence, geometric series, convergence criteria for positive terms series (comparison, asymptotic comparison, root, ratio, condensation) and for series at any time (absolute convergence, Leibnitz); Taylor series developments, developments of some elementary functions; Improper integrals.

A. Laforgia, Calcolo differenziale e integrale, Ed. Accademica;
P. Marcellini e C. Sbordone, Esercizi di Matematica, Vol. 1, tomi 1--4, Ed. Liguori;

Number sets (N, Z, Q and R), axiomatic construction of R via supremum, Archimedean property, density of Q in R, construction of N in R and the inductive method, binomial formula and combinatorial calculus, real powers, the Bernoulli inequality; topological concepts in R (accumulation and isolated points, open/closed sets and characterization, closure of a set) and Bolzano-Weierstrass theorem; complex numbers, polar representation and n-roots of unity; real functions with a real variable, domain, image and inverse functions; limits for functions and properties, limits of monotone functions; limits for sequences, special limits, the Napier number, the bridge theorem,
limsup/liminf, sequences and topology, compact sets and characterization; continuous functions and their properties, continuity of elementary functions, types of discontinuities and monotone functions, fundamental theorems on continuous functions (zeroes, intermediate values, Weierstrass); derivative of a function and properties, derivatives of elementary functions, the fundamental theorems of differential calculus (Fermat, Rolle, Cauchy, Lagrange, de l'Hopital, Taylor's formula), monotonicity and sign of the derivative, degenerate local maxima/minima, convex/concave functions; graph of a function; Riemann integration and properties, integrability of continuous functions, primitives for elementary functions, I and II fundamental theorems of integral calculus, change of variables and integration by parts, rational functions, some special change of variables; numerical series and convergence, geometric series, convergence criteria for positive series (comparison, asymptotic comparison, n-th root, ratio, condensation) and for general series (absolute convergence, Leibniz); Taylor series, series of some elementary functions; improper integrals.

"Analisi Matematica 1", M. Bramanti, C.D. Pagani, S. Salsa, editore Zanichelli
"Analisi Matematica 1", C.D. Pagani, S. Salsa, editore Zanichelli
"Analisi Matematica 1", E. Giusti, editore Bollati Boringhieri
"Funzioni Algebriche e Trascendenti", B. Palumbo, M.C. Signorino, editore Accademica
"Analisi Matematica", M. Bertsch, R. Dal Passo, L. Giacomelli, editore MCGraw-Hill
"Esercizi di Analisi Matematica", S. Salsa, A. Squellati, editore Zanichelli
"Esercitazioni di Matematica: vol. 1.1 e 1.2", P. Marcellini, C. Sbordone, editore Liguori
"Esercizi e complementi di Analisi Matematica: vol. 1", E. Giusti, editore Bollati Boringhieri

The numbers refer to the chapters and paragraphs of the textbook:
Calcolo of P. Marcellini and C. Sbordone.

1) Real numbers and functions

Natural, whole and rational numbers; density of rationals (5). Axioms of real numbers (2). Overview of set theory (4).
The intuitive concept of function (6) and Cartesian representation (7).
Injective, surjective, bijective and invertible functions. Monotonic functions (8).
Absolute value (9). The principle of induction (13).

2) Complements to real numbers

Maximum, minimum, supremum, infimum.

7) Succession limits

Definition and first properties (56.57).
Limited successions (58). Operations with limits (59).
Indefinite forms (60).
Comparative theorems (61). Other properties of succession limits (62).
Notable limits (63). Monotone sequences, the number e (64).
Sequence going to infinity of increasing order (67).

8) Function limits. Continuous functions

Definition of limit and property (71,72,73).
Continuous functions (74). discontinuity (75).
Theorems on continuous functions (76).

9) Additions to the limits

The theorem on monotonic sequences (80).
Extracted successions; the Bolzano-Weierstrass theorem (81).
The Weierstrass theorem (82).
Continuity of monotonic functions and inverse functions (83).

10) Derivatives

Definition and physical meaning (88-89). Operations with derivatives (90).
Derivatives of compound functions and inverse functions (91).
Derivative of elementary functions (92).
Geometric meaning of the derivative: tangent line (93).

11) Applications of derivatives. Function study

Maximum and minimum relative. Fermat's theorem (95).
Theorems of Rolle and Lagrange (96).
Increasing, decreasing, convex and concave functions (97-98).
De l'Hopital theorem (99).
Study of the graph of a function (100).
Taylor's formula: first properties (101).

14) Integration according to Riemann

Definition (117). Properties of the defined integrals (118).
Uniform continuity. Cantor's theorem (119).
Integrability of continuous functions (120).
The theorems of the average (121).

15) Undefined integrals

The fundamental theorem of integral calculus (123).
Primitives (124). The indefinite integral (125). Integration by parts and by substitution
(126,127,128,129).
Improper integrals (132).

16) Taylor's formula

Rest of Peano (135).
Use of Taylor's formula in the calculation of limits (136).

17) Series

Numerical series (141).
Series with positive terms (142).
Geometric series and harmonic series (143.144).
Convergence criteria (145).
Alternate series (146).
Absolute convergence (147).
Taylor series (149).

P. Marcellini, C. Sbordone, Calcolo, Ed. Liguori, 1992
S. Lang, A First Course in Calculus, Springer Ed.

N and induction principle, Newton binomial; Z, integers modulo n; Q, axiomatic construction of R, Archimedean property, density of Q in R, powers with real exponent; complex numbers, polar representation and n-th roots of the unit; rudiments of topology of R (isolated and accumulation points, open / closed sets); real functions of a real variable, domain, co-domain, and inverse functions; Limits of functions and their properties, limits of monotone functions ; limits of sequences, significant limits, Nepero number, bridge theorem infinite series and convergence, geometric series, convergence tests for series with positive terms (comparison, asymptotic comparison, root, ratio, condensation) and for generic series (absolute convergence, Leibniz); continuous functions and their properties, continuity of elementary functions, types of discontinuities and monotone functions, fundamental theorems on continuous functions (zeros, intermediate values, Weierstrass); derivatives of a functions, derivatives of elementary functions, fundamental theorems of differential calculus (Fermat, Rolle, Cauchy, Lagrange, de l' Hospital, Taylor's formula), monotony and sign of the derivative , local maxima /minima, convex / concave functions; graph of a function; Riemann integral and its properties, integrability of continuous functions, primitive of elementary functions, I and II fundamental theorem of (integral) calculus; integration by substitution and by parts, rational functions, some special substitutions; improper integrals; Taylor series expansions, expansions of some elementary functions.

A. Laforgia, Calcolo differenziale e integrale, Ed. Accademica;
P. Marcellini e C. Sbordone, Esercizi di Matematica, Vol. 1, tomi 1--4, Ed. Liguori;

Numerical sets (N, Z, Q and R), R assiomatic construction of R by upper extremity, Archimede properties, Q in R density, N construction and induction principle, Newton binomial and combinatorial calculus, Inequality of Bernoulli; Topology elements in R (isolated and accumulated points, open / closed sets and characterization, closure of a set) and Bolzano-Weierstrass theorem; Complex numbers, polar representation and n-th roots of the unit; Real functions of real variable, domain, co-domain, and inverse functions; Function and property limits, monotone function limits; Succession limits, significant limits, Nepero number, bridge theorem, limsup / liminf, sequences and topology, compact sets, and characterization; Continuous functions and their properties, continuity of elementary functions, types of discontinuities and monotone functions, fundamental theorems on continuous functions (zeros, intermediate values, Weierstrass); Function and function derivative, elementary function derivatives, fundamental theorems of differential calculus (Fermat, Rolle, Cauchy, Lagrange, de Hopital, Taylor's formula), monotony and derivative sign, local degradation maxima / minima, convex functions / concave; Function graph; Integration according to Riemann and property, integrability of continuous functions, primitive elementary functions, I and II fundamental theorem of integral calculation, integration for substitution and parts, rational functions, some special replacements; Numerical series and convergence, geometric series, convergence criteria for positive terms series (comparison, asymptotic comparison, root, ratio, condensation) and for series at any time (absolute convergence, Leibnitz); Taylor series developments, developments of some elementary functions; Improper integrals.

A. Laforgia, Calcolo differenziale e integrale, Ed. Accademica;
P. Marcellini e C. Sbordone, Esercizi di Matematica, Vol. 1, tomi 1--4, Ed. Liguori;

Elements of set theory. Maps between sets: invective, surjective, bijective maps.
Elements of propositional logic, truth tables. Equivalence and order relations.
Combinatorics. Binomial coefficients and binomial theorem. Permutations. The Integers: divisibility, GCD and Euclidean algorithm, Bézout identity, linear congruences.
Baiscs of algebraic structures: permutation groups, abstract groups, polynomials and finite fields.
Elements of graph theory.Lattices and Boolean algebras

Giulia Maria Piacentini Cattaneo
Matematica discreta e applicazioni
Zanichelli 2008

1. Elements of Set Theory.
Union, intersection, Cartesian product, set subtraction, complementary set, cardinality.

2. Set functions.
Domain, codomain, Range. Injective, surjective, bijective functions. Inverse function, Identity, Permutations.

3. Elements of logic.
Propositional calculus, Operations between propositions.

4. Relations.
Reflexive, symmetric, antisymmetric, transitive. Order and equivalence relations. Examples.

5. Partially ordered sets.
Equivalence relations and classes. Quotient set.

6. Integer numbers.
Division and its properties. Greatest common divisor.

7. Euclidean algorithm.
Introduction and application.

8. Prime numbers.
Fundamental theorem of arithmetic.

9. Congruence mod n.
Basic modular arithmetic. Sum and multiplication in Zn. Linear congruence. Description of linear congruence solutions. Euler's totient function. Small Fermat Theorem, Euler’s Theorem

10. Combinatory algebra.
Dispositions and combinations with and without repetitions, binomial coefficient. Properties. Tartaglia's triangle.

11. Partially ordered sets
Hasse Diagram. Maximum and minimum, Sup and inf.

12. Reticular formations. Properties of inf e sup.

13. Boolean algebra.
Introduction. The Boolean operators AND, OR and NOT.

Giulia Maria Piacentini Cattaneo
"Matematica discreta"
Edito da Zanichelli.

1. Linear equations and numbers
Linear equations systems. Matrix associated with a linear system. Equivalent systems. Natural, integer, rational numbers, real numbers and their property. Recall of set theory: inclusion of sets, difference between sets.
2. Matrices and sets
Matrices with real coefficients. Square, triangular, diagonal matrices. Transpose of a matrix and symmetric matrices. Recall of set theory: union and intersection of sets.
3. The vector space of the matrices
Addition between matrices and its properties. Multiplying a scalar for a matrix and its properties.
4. Product between matrices
Product between matrices with compatible dimensions. Properties of the product: associative property and distributive property. Examples showing that product between matrices does not satisfy the commutative property and the simplification property. Matrices and linear systems.
5. Determinants
Definition by induction of the determinant when using the first-row development. Determinant property: development according to any row or column, determinant of the transposed matrix, determinant of a triangular matrix. Binet theorem.
6. Reverse matrix
Unit matrix. Reverse matrix. Inverse property. Cramer's theorem.
7. Rank of a matrix
Definition. Property of the rank. Minors of a matrix. Theorem of Kronecker.
8. Linear equation systems
Definitions. Rouché-Capelli theorem. Rouché-Capelli method for solving a linear system.
9. Gauss method
10. Applications of Gauss method
Basic operations. Calculation of the determinant. Calculation of the rank.
11. Geometric vectors
Plan vectors. Addition between vectors. Product of a vector for a scalar. Space vectors. Lines and planes for the origin. Average point.
12. Linear combinations of geometric vectors
Linear combinations. Linearly dependent and independent vectors. Characterization of linearly independent vectors in V2(O) and V3(O).
13. Vector spaces on the real numbers
Definition of vector spaces. Examples of vector spaces. Basic properties of vector spaces.
14. Vector subspaces
Definition of vector spaces. Subspaces of V2(O) and V3(O).
15. Generators of vector spaces
Linear combinations and generators.
16. Linear dependency and independency
17. Basis of vector spaces
Basis. Dimension. Dimension of the set of solutions of a homogeneous system. Dimension of subspaces. Calculation of dimensions and basis.
18. Intersection and sum of subspaces
Intersection of vector subspaces. Sum of vector subspaces. Grassmann's formula.
19. Affine subspaces
The lines of the plane and of the space. Space planes. Affine subspaces. Set of system solutions.
20. Homomorphisms
Homomorphisms between vector spaces. Matrix associated with a homomorphism. Homomorphism associated with a matrix.
21. Image
Property of the image of a homomorphism. Calculation of the image of a homomorphism. Condition of surjectivity of a homomorphism.
22. Kernel
Property of the kernel of a homomorphism. Calculation of the kernel of a homomorphism. Injectivity condition of a homomorphism.
23. Endomorphisms
Matrix associated with an endomorphism. Change of basis.
24. Eigenvalues ​​and eigenvectors
Definitions and basic properties. Eigenspaces. Characteristic polynomial. Diagonalizable matrices.
25. Diagonalization
Diagonalizability conditions. Diagonalization procedure.

G. Accascina and V. Monti, Geometry*
* This book is available for free at the following link: http://www.dmmm.uniroma1.it/accascinamonti/geogest/Geometria.pdf

1. Linear equations and numbers
Systems of linear equations. Represent linear systems with matrix equations. Equivalent systems. Natural, integers, rational, real numbers and their properties. Pills of Graph Theory: subsets and set subtraction.

2. Matrixes and sets
Matrix with real coefficients. Square, triangular, diagonal matrixes. Transposed and symmetric matrix. Pills of Graph Theory: union and intersection.

3. Vector spaces and matrices
Matrix addition and scalar product and their properties.

4. Matrix product
Matrix product and its mathematical properties: associative and distributive. Example of how matrix product does not satisfy the commutative and simplification properties. Matrices and linear systems

5. Determinants
Formal definition of determinant and its properties. Transposed and triangular matrix determinants. Binet’s theorem.

6. Inverse of a matrix
Identity matrix. Inverse of a matrix and its properties. Cramer’s theorem.

7. Matrix rank
Definition and properties. Minor of a matrix.

8. System of linear equations.
Definition. Rouché-Capelli’s theorem. Rouché-Capelli’s method to solve a linear system.

9. Gaussian elimination and how to apply the Gaussian elimination
Elementary operation. Determinant and rank computations.

10. Geometric vectors
Vectors in 2 dimensions. Sum and scalar product of vectors. Vectors in 3 dimensions. Linear combination. Linear dependence and independence of vectors.

11. Vector spaces and Linear subspaces
Definition, examples and properties.

12. How to generate linear subspaces
Linear combination and generators.

13. Linear dependence and independence

14. Basis of a linear subspace
Basis. Dimensions. Solution set of an homogeneous system and its dimensions.

15. Vector subspaces sum and intersection
Grassmann formula.

16. Affine space
Lines in planes and space. Affine subspace.

17. Homomorphisms
Homomorphism between vector spaces. Represent an homomorphism as a matrix.

18. Image of a matrix
Properties of an homomorphism image and how to compute it. Surjective homomorphism.

19. Kernel of a matrix
Properties of an homomorphism kernel and how to compute it. Injectivity homomorphism.

20. Endomorphisms
Matrix representation of the endomorphisms. Change of basis.

21. Eigenvalues and Eigenvectors
Definition and properties. Eigenspaces. Characteristic polynomial. Diagonalizable matrix.

22. Diagonalizing a matrix
Rules and examples.

G. Accascina e V. Monti,
"Geometria"

Dynamics of systems of material points
- systems of material points. Internal and external forces
- First cardinal equation for systems dynamics
- Center of mass and its motion
- Conservation of momentum
- Collisions (brief notes)
- Moment of a force and angular momentum
- Second cardinal equation for systems dynamics
- Conservation of angular momentum
- Koenig theorems

Rigid body dynamics
- Definition of rigid body and its properties
- Continuous bodies. Density and center of mass
- Rigid body kinematics. Angular velocity
- Rigid body dynamics. Rotations around a fixed axis
- Moment of inertia
- Huygens-Steiner theorem
- Compound pendulum
- Rolling motion
- Equilibrium for a rigid body

Introduction to fields
- Gravitational field and electric field
- Gauss's law
- Electric potential
- Lorentz force and magnetic field
- Stationary electric currents
- Ohm's law

Thermodynamics
- Kinetic theory of ideal gases (brief notes)
- Temperature and pressure
- Thermodynamic systems and states
- Thermodynamic equilibrium
- Mechanical work and heat
- First law of thermodynamics
- Thermodynamic processes (adiabatic, reversible, irreversible)
- Heat capacity and specific heat
- Ideal gas law
- Specific heat of ideal gases
- Cyclic processes and the Carnot cycle
- Second law of thermodynamics
- Carnot's theorem
- Clausius theorem
- Entropy (brief notes)

- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. I:
Meccanica - Termodinamica", seconda edizione, Edises, Napoli

- R. Borghi, "Lezioni di Meccanica", amazon.com

For further studies, the following is suggested:
- R. P. Feynman, "La Fisica di Feynman", volumes 1 and 2 (freely available at http://feynmanlectures.info/)

Dynamics of systems of material points
- systems of material points. Internal and external forces
- First cardinal equation for systems dynamics
- Center of mass and its motion
- Conservation of momentum
- Collisions (brief notes)
- Moment of a force and angular momentum
- Second cardinal equation for systems dynamics
- Conservation of angular momentum
- Koenig theorems

Rigid body dynamics
- Definition of rigid body and its properties
- Continuous bodies. Density and center of mass
- Rigid body kinematics. Angular velocity
- Rigid body dynamics. Rotations around a fixed axis
- Moment of inertia
- Huygens-Steiner theorem
- Compound pendulum
- Rolling motion
- Equilibrium for a rigid body

Introduction to fields
- Gravitational field and electric field
- Gauss's law
- Electric potential
- Lorentz force and magnetic field
- Stationary electric currents
- Ohm's law

Thermodynamics
- Kinetic theory of ideal gases (brief notes)
- Temperature and pressure
- Thermodynamic systems and states
- Thermodynamic equilibrium
- Mechanical work and heat
- First law of thermodynamics
- Thermodynamic processes (adiabatic, reversible, irreversible)
- Heat capacity and specific heat
- Ideal gas law
- Specific heat of ideal gases
- Cyclic processes and the Carnot cycle
- Second law of thermodynamics
- Carnot's theorem
- Clausius theorem
- Entropy (brief notes)

- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. I:
Meccanica - Termodinamica", seconda edizione, Edises, Napoli

- R. Borghi, "Lezioni di Meccanica", amazon.com

For further studies, the following is suggested:
- R. P. Feynman, "La Fisica di Feynman", volumes 1 and 2 (freely available at http://feynmanlectures.info/)

Dynamics of systems of material points
- systems of material points. Internal and external forces
- First cardinal equation for systems dynamics
- Center of mass and its motion
- Conservation of momentum
- Collisions (brief notes)
- Moment of a force and angular momentum
- Second cardinal equation for systems dynamics
- Conservation of angular momentum
- Koenig theorems

Rigid body dynamics
- Definition of rigid body and its properties
- Continuous bodies. Density and center of mass
- Rigid body kinematics. Angular velocity
- Rigid body dynamics. Rotations around a fixed axis
- Moment of inertia
- Huygens-Steiner theorem
- Compound pendulum
- Rolling motion
- Equilibrium for a rigid body

Introduction to fields
- Gravitational field and electric field
- Gauss's law
- Electric potential
- Lorentz force and magnetic field
- Stationary electric currents
- Ohm's law

Thermodynamics
- Kinetic theory of ideal gases (brief notes)
- Temperature and pressure
- Thermodynamic systems and states
- Thermodynamic equilibrium
- Mechanical work and heat
- First law of thermodynamics
- Thermodynamic processes (adiabatic, reversible, irreversible)
- Heat capacity and specific heat
- Ideal gas law
- Specific heat of ideal gases
- Cyclic processes and the Carnot cycle
- Second law of thermodynamics
- Carnot's theorem
- Clausius theorem
- Entropy (brief notes)

- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. I:
Meccanica - Termodinamica", seconda edizione, Edises, Napoli

- R. Borghi, "Lezioni di Meccanica", amazon.com

For further studies, the following is suggested:
- R. P. Feynman, "La Fisica di Feynman", volumes 1 and 2 (freely available at http://feynmanlectures.info/)

Dynamics of systems of material points
- systems of material points. Internal and external forces
- First cardinal equation for systems dynamics
- Center of mass and its motion
- Conservation of momentum
- Collisions (brief notes)
- Moment of a force and angular momentum
- Second cardinal equation for systems dynamics
- Conservation of angular momentum
- Koenig theorems

Rigid body dynamics
- Definition of rigid body and its properties
- Continuous bodies. Density and center of mass
- Rigid body kinematics. Angular velocity
- Rigid body dynamics. Rotations around a fixed axis
- Moment of inertia
- Huygens-Steiner theorem
- Compound pendulum
- Rolling motion
- Equilibrium for a rigid body

Introduction to fields
- Gravitational field and electric field
- Gauss's law
- Electric potential
- Lorentz force and magnetic field
- Stationary electric currents
- Ohm's law

Thermodynamics
- Kinetic theory of ideal gases (brief notes)
- Temperature and pressure
- Thermodynamic systems and states
- Thermodynamic equilibrium
- Mechanical work and heat
- First law of thermodynamics
- Thermodynamic processes (adiabatic, reversible, irreversible)
- Heat capacity and specific heat
- Ideal gas law
- Specific heat of ideal gases
- Cyclic processes and the Carnot cycle
- Second law of thermodynamics
- Carnot's theorem
- Clausius theorem
- Entropy (brief notes)

- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. I:
Meccanica - Termodinamica", seconda edizione, Edises, Napoli

- R. Borghi, "Lezioni di Meccanica", amazon.com

For further studies, the following is suggested:
- R. P. Feynman, "La Fisica di Feynman", volumes 1 and 2 (freely available at http://feynmanlectures.info/)

Introduction
- Physical quantities and units
- Fundamentals on vector algebra

Kinematics of a material point
- Kinematics quantities in the rectilinear motion
- Uniformly accelerated rectilinear motion
- Simple harmonic motion
- Kinematics in 2-D and 3-D
- Motion trajectory
- Tangential and normal components of acceleration (*)
- Parabolic motion
- Circular motion (*)
- Relative motion

Dynamics of a material point
- Principles of Dynamics and Newton's laws
- Momentum and Impulse
- Equilibrium and constraint reaction forces
- Gravitational force
- Weight and motion under gravity
- Forces and motion
- Forces of dry friction
- Inclined plane
- Elastic force and mass-spring system
- Tension force in ropes
- Applications to circular motion
- Viscous force (*)
- Electrical charge and Coulomb force
- Simple pendulum
- Inertial and non-inertial reference frames
- Inertial forces

Work and Energy
- Work and power
- Work of weight, elastic and dry friction forces
- Work-energy theorem. Applications
- Conservative forces. Potential energy
- Central forces
- Gravitational and electrostatic potential energies
- Conservation of mechanical energy. Applications
- Stability conditions for static equilibrium (*)

- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. I: Meccanica - Termodinamica", seconda edizione, Edises, Napoli
- R. Borghi, "Lezioni di Meccanica", amazon.com

(*) Notes on selected arguments are also available on the
course website, under the section complementi

For further studies, the following is suggested:
- R. P. Feynman, "La Fisica di Feynman", volumes 1 and 2
(freely available at http://feynmanlectures.info/)

Introduction
- Physical quantities and units
- Fundamentals on vector algebra

Kinematics of a material point
- Kinematics quantities in the rectilinear motion
- Uniformly accelerated rectilinear motion
- Simple harmonic motion
- Kinematics in 2-D and 3-D
- Motion trajectory
- Tangential and normal components of acceleration (*)
- Parabolic motion
- Circular motion (*)
- Relative motion

Dynamics of a material point
- Principles of Dynamics and Newton's laws
- Momentum and Impulse
- Equilibrium and constraint reaction forces
- Gravitational force
- Weight and motion under gravity
- Forces and motion
- Forces of dry friction
- Inclined plane
- Elastic force and mass-spring system
- Tension force in ropes
- Applications to circular motion
- Viscous force (*)
- Electrical charge and Coulomb force
- Simple pendulum
- Inertial and non-inertial reference frames
- Inertial forces

Work and Energy
- Work and power
- Work of weight, elastic and dry friction forces
- Work-energy theorem. Applications
- Conservative forces. Potential energy
- Central forces
- Gravitational and electrostatic potential energies
- Conservation of mechanical energy. Applications
- Stability conditions for static equilibrium (*)

- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. I: Meccanica - Termodinamica", seconda edizione, Edises, Napoli
- R. Borghi, "Lezioni di Meccanica", amazon.com

(*) Notes on selected arguments are also available on the
course website, under the section complementi

For further studies, the following is suggested:
- R. P. Feynman, "La Fisica di Feynman", volumes 1 and 2
(freely available at http://feynmanlectures.info/)

Introduction
- Physical quantities and units
- Fundamentals on vector algebra

Kinematics of a material point
- Kinematics quantities in the rectilinear motion
- Uniformly accelerated rectilinear motion
- Simple harmonic motion
- Kinematics in 2-D and 3-D
- Motion trajectory
- Tangential and normal components of acceleration (*)
- Parabolic motion
- Circular motion (*)
- Relative motion

Dynamics of a material point
- Principles of Dynamics and Newton's laws
- Momentum and Impulse
- Equilibrium and constraint reaction forces
- Gravitational force
- Weight and motion under gravity
- Forces and motion
- Forces of dry friction
- Inclined plane
- Elastic force and mass-spring system
- Tension force in ropes
- Applications to circular motion
- Viscous force (*)
- Electrical charge and Coulomb force
- Simple pendulum
- Inertial and non-inertial reference frames
- Inertial forces

Work and Energy
- Work and power
- Work of weight, elastic and dry friction forces
- Work-energy theorem. Applications
- Conservative forces. Potential energy
- Central forces
- Gravitational and electrostatic potential energies
- Conservation of mechanical energy. Applications
- Stability conditions for static equilibrium (*)

- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. I: Meccanica - Termodinamica", seconda edizione, Edises, Napoli
- R. Borghi, "Lezioni di Meccanica", amazon.com

(*) Notes on selected arguments are also available on the
course website, under the section complementi

For further studies, the following is suggested:
- R. P. Feynman, "La Fisica di Feynman", volumes 1 and 2
(freely available at http://feynmanlectures.info/)

Introduction
- Physical quantities and units
- Fundamentals on vector algebra

Kinematics of a material point
- Kinematics quantities in the rectilinear motion
- Uniformly accelerated rectilinear motion
- Simple harmonic motion
- Kinematics in 2-D and 3-D
- Motion trajectory
- Tangential and normal components of acceleration (*)
- Parabolic motion
- Circular motion (*)
- Relative motion

Dynamics of a material point
- Principles of Dynamics and Newton's laws
- Momentum and Impulse
- Equilibrium and constraint reaction forces
- Gravitational force
- Weight and motion under gravity
- Forces and motion
- Forces of dry friction
- Inclined plane
- Elastic force and mass-spring system
- Tension force in ropes
- Applications to circular motion
- Viscous force (*)
- Electrical charge and Coulomb force
- Simple pendulum
- Inertial and non-inertial reference frames
- Inertial forces

Work and Energy
- Work and power
- Work of weight, elastic and dry friction forces
- Work-energy theorem. Applications
- Conservative forces. Potential energy
- Central forces
- Gravitational and electrostatic potential energies
- Conservation of mechanical energy. Applications
- Stability conditions for static equilibrium (*)

- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. I: Meccanica - Termodinamica", seconda edizione, Edises, Napoli
- R. Borghi, "Lezioni di Meccanica", amazon.com

(*) Notes on selected arguments are also available on the
course website, under the section complementi

For further studies, the following is suggested:
- R. P. Feynman, "La Fisica di Feynman", volumes 1 and 2
(freely available at http://feynmanlectures.info/)

Atom Structure: orbitals, poly-electron atoms, periodic table; covalent bond, delocalized bond.
Mass relationship in chemical reactions; redox and oxidation number.
Solids: metallic crystal, ionic crystal, molecular crystal, covalent crystal.
Gases: the ideal gas law, partial pressures.
Thermodynamics: nature and type of energy, the zero law of T.D., heat capacity, the first law of TD and Enthalphy, the second law of TD, entropy and free energy, equilibrium conditions.
Liquids: phase change, phase diagrams.
Chemical equilibrium: the equilibrium constant and the equilibrium law
Properties of liquid solutions: concentration units, the Raoult law and distillation, colligatives properties and freezing diagram, electrolytes.
Solutions of strong and weak electrolytes. Acids and bases, pH; Salt hydrolysis; buffer solutions.
Elettrochemistry

Appunti delle lezioni
o Depaoli - Chimica Generale ed Inorganica - Ed. Ambrosiana
o Silvestroni, Rallo - Problemi di Chimica Generale - Ed. Masson
o Palmisano, Schiavello – Fondamenti di Chimica - EDISES

Atom Structure: orbitals, poly-electron atoms, periodic table; covalent bond, delocalized bond.
Mass relationship in chemical reactions; redox and oxidation number.
Solids: metallic crystal, ionic crystal, molecular crystal, covalent crystal.
Gases: the ideal gas law, partial pressures.
Thermodynamics: nature and type of energy, the zero law of T.D., heat capacity, the first law of TD and Enthalphy, the second law of TD, entropy and free energy, equilibrium conditions.
Liquids: phase change, phase diagrams.
Chemical equilibrium: the equilibrium constant and the equilibrium law
Properties of liquid solutions: concentration units, the Raoult law and distillation, colligatives properties and freezing diagram, electrolytes.
Solutions of strong and weak electrolytes. Acids and bases, pH; Salt hydrolysis; buffer solutions.
Elettrochemistry

Tro CHEMISTRY A molecular approach EDISED ED. or any text of General Chemistry as long as it is at university level
Course slides and carried out and to be performed on moodle site

Atom Structure: orbitals, poly-electron atoms, periodic table; covalent bond, delocalized bond.
Mass relationship in chemical reactions; redox and oxidation number.
Solids: metallic crystal, ionic crystal, molecular crystal, covalent crystal.
Gases: the ideal gas law, partial pressures.
Thermodynamics: nature and type of energy, the zero law of T.D., heat capacity, the first law of TD and Enthalphy, the second law of TD, entropy and free energy, equilibrium conditions.
Liquids: phase change, phase diagrams.
Chemical equilibrium: the equilibrium constant and the equilibrium law
Properties of liquid solutions: concentration units, the Raoult law and distillation, colligatives properties and freezing diagram, electrolytes.
Solutions of strong and weak electrolytes. Acids and bases, pH; Salt hydrolysis; buffer solutions.
Elettrochemistry

Appunti delle lezioni
o Depaoli - Chimica Generale ed Inorganica - Ed. Ambrosiana
o Silvestroni, Rallo - Problemi di Chimica Generale - Ed. Masson
o Palmisano, Schiavello – Fondamenti di Chimica - EDISES

Atom Structure: orbitals, poly-electron atoms, periodic table; covalent bond, delocalized bond.
Mass relationship in chemical reactions; redox and oxidation number.
Solids: metallic crystal, ionic crystal, molecular crystal, covalent crystal.
Gases: the ideal gas law, partial pressures.
Thermodynamics: nature and type of energy, the zero law of T.D., heat capacity, the first law of TD and Enthalphy, the second law of TD, entropy and free energy, equilibrium conditions.
Liquids: phase change, phase diagrams.
Chemical equilibrium: the equilibrium constant and the equilibrium law
Properties of liquid solutions: concentration units, the Raoult law and distillation, colligatives properties and freezing diagram, electrolytes.
Solutions of strong and weak electrolytes. Acids and bases, pH; Salt hydrolysis; buffer solutions.
Elettrochemistry

Appunti delle lezioni
o Depaoli - Chimica Generale ed Inorganica - Ed. Ambrosiana
o Silvestroni, Rallo - Problemi di Chimica Generale - Ed. Masson
o Palmisano, Schiavello – Fondamenti di Chimica - EDISES

COURSE PROGRAM (First semester)

Computer operations and representation of information
-computer architecture
-operating systems
-binary arithmetic
-compilation and execution of programs

Algorithms
-program specification
-programming quality
-representation and algorithm design

Programming Fundamentals
-programming langauges
-variables
-Instructions
-types data
-Instructions structured
-style programming
-structure of the program
-functions

Software correctness
-testing methods
-debugging

Management of data sets
-arrays
-strings

COURSE PROGRAM (Second semester)

Pointers and dynamic memory allocation
Data structures, struct, files
Recursion
Sorting and searching algorithms
Computational cost of programs
- Big O, Omega and Theta notations
- best, average, and worst case analysis
Abstract data types and related structures
- lists
- queues
- stacks

Alessandro Bellini, Andrea Guidi
Linguaggio C - 5-th edition
ISBN: 9788838668210

COURSE PROGRAM (First semester)

Computer operations and representation of information
-computer architecture
-operating systems
-binary arithmetic
-compilation and execution of programs

Algorithms
-program specification
-programming quality
-representation and algorithm design

Programming Fundamentals
-programming langauges
-variables
-Instructions
-types data
-Instructions structured
-style programming
-structure of the program
-functions

Software correctness
-testing methods
-debugging

Management of data sets
-arrays
-strings

COURSE PROGRAM (Second semester)

Pointers and dynamic memory allocation
Data structures, struct, files
Recursion
Sorting and searching algorithms
Computational cost of programs
- Big O, Omega and Theta notations
- best, average, and worst case analysis
Abstract data types and related structures
- lists
- queues
- stacks

Author: Bellini, Guidi
Title: Linguaggio C - Una guida alla programmazione con elementi di Objective-C
Edition: 5-th edition
Editor: McGraw-hill
Year: 2013

Non linear resistors: diode
small-signal model of a diode
Full-wave rectifier
Zener diode
Voltage stabilizer with zener diode
Transistor
small-signal model of a transistor
Transistor as a short-circuit or open-circuit
Logic gates: NOT,AND, OR
FLIP FLOP SR
Operational amplifier (OP.AMP.)
OP.AMP. Buffer
OP.AMP. Inverting
OP.AMP. Non Inverting
OP.AMP. Comparator
OP.AMP. Clock
OP.AMP. Integrator
OP.AMP. Differentiator
OP.AMP. Summing
Digital to Analog converter

Charles K. Alexander e Matthew N.O. Sadiku "Circuiti elettrici", McGraw-Hill Education

Antonino Laudano, Francesco Riganti Fulginei, "Quaderno di appunti di elettrotecnica. Esercizi sui circuiti elettrici", Pigreco Edizioni

From fields to circuits
Kirchhoff's circuit laws
Voltage and Current
Two-pole circuit
Electric Power
Passive, linear and time-independent circuit elements
Circuit elements with memory
Series and parallel circuit elements
Active circuit elements: voltage and current ideal sources (independent or controlled)
Passive circuit elements: resistor, capacitor and inductor
Series and parallel resistor
Equivalent models
Norton e Thevenin models
Brief notes of graph theory
Tableau method for the general analisys of electric circuits
Nodal analysis
Mesh analysis
Superposition principle
Thevenin's theorem
Steady and transient states
Steady state with sinusoidal signals
Frequency-domain analysis
Active, reactive, and apparent power
Three-phase electric systems
Balanced three-phase sources and loads
Three Phase Power
Measurement of Three Phase Power
Aron's insertion
Power factor correction

Charles K. Alexander e Matthew N.O. Sadiku "Circuiti elettrici", McGraw-Hill Education

Antonino Laudano, Francesco Riganti Fulginei, "Quaderno di appunti di elettrotecnica. Esercizi sui circuiti elettrici", Pigreco Edizioni

From fields to circuits
Kirchhoff's circuit laws
Voltage and Current
Two-pole circuit
Electric Power
Passive, linear and time-independent circuit elements
Circuit elements with memory
Series and parallel circuit elements
Active circuit elements: voltage and current ideal sources (independent or controlled)
Passive circuit elements: resistor, capacitor and inductor
Series and parallel resistor
Equivalent models
Norton e Thevenin models
Brief notes of graph theory
Tableau method for the general analisys of electric circuits
Nodal analysis
Mesh analysis
Superposition principle
Thevenin's theorem
Steady and transient states
Steady state with sinusoidal signals
Frequency-domain analysis
Active, reactive, and apparent power
Three-phase electric systems
Balanced three-phase sources and loads
Three Phase Power
Measurement of Three Phase Power
Aron's insertion
Power factor correction

Charles K. Alexander e Matthew N.O. Sadiku "Circuiti elettrici", McGraw-Hill Education

Antonino Laudano, Francesco Riganti Fulginei, "Quaderno di appunti di elettrotecnica. Esercizi sui circuiti elettrici", Pigreco Edizioni

An introduction to Communication, Messages and Signals, Signals and Spectra. Elements and Limitations of Communications Systems. Information, Messages, and Signals. Elements of a Communication System. Fundamental Limitations. Modulation and Coding. Signals and Spectra. Line Spectra and Fourier Series. Phasors and Line Spectra. Periodic Signals and Average Power. Fourier Series. Parseval’s Power Theorem. Fourier Transforms and Continuous Spectra. Time and Frequency Relations. Convolution. Convolution Theorems. Impulses and Transforms in the Limit. Properties of the Unit Impulse. Impulses in Frequency. Step and Signum Functions. Impulses in Time. Correlation and Spectral Density. Correlation of Power Signals. Correlation of Energy Signals. Spectral Density Functions.

Sampling Theorem and Signal Transformation. Sampling Theory and Practice. Sampling and Reconstruction. Practical Sampling and Aliasing. Response of LTI Systems. Impulse Response and the Superposition Integral. Transfer Functions and Frequency Response. Signal Distortion in Transmission. Distortionless Transmission. Linear Distortion. Equalization. Transmission Loss and Decibels. Power Gain. Transmission Loss and Repeaters. Fiber Optics. Radio Transmission. Filters and Filtering. Ideal Filters. Bandlimiting and Timelimiting. Real Filters. Pulse-Amplitude Modulation. Noise and Errors. Binary Error Probabilities. Regenerative Repeaters. Matched Filtering. Correlation Detector.

Probability and Random Variables. Probability and Sample Space. Probabilities and Events. Sample Space and Probability Theory. Conditional Probability and Statistical Independence. Random Variables and Probability Functions. Discrete Random Variables and CDFs. Continuous Random Variables and PDFs. Transformations of Random Variables. Joint and Conditional PDFs. Statistical Averages. Means, Moments, and Expectation. Standard Deviation. Characteristic Functions. Probability Models. Binomial Distribution. Gaussian Distribution. Central Limit Theorem.

Information and Detection Theory. Information Measure and Source Coding. Information Measure. Entropy and Information Rate. Coding for a Discrete Memoryless Channel. Continuous Channels and System Comparisons. Continuous Information. Continuous Channel Capacity. Ideal Communication Systems. System Comparisons. Optimum Digital Detection. Optimum Detection and MAP Receivers. Error Probabilities

Baseband and Bandpass Digital Transmission. Digital Signals and Systems. Digital PAM Signals. Transmission Limitations. Power Spectra of Digital PAM. Spectral Shaping by Precoding. Digital CW Modulation. Spectral Analysis of Bandpass Digital Signals. Amplitude Modulation Methods. Phase Modulation Methods. Frequency Modulation Methods. Minimum-Shift Keying (MSK). Coherent Binary Systems. Optimum Binary Detection. Coherent OOK, BPSK, and FSK. Timing and Synchronization. Interference. Quadrature-Carrier and M-ary Systems. Quadrature-Carrier Systems. M-ary PSK Systems. M-ary QAM Systems. M-ary FSK Systems. Comparison of Digital Modulation Systems

Wired and Wireless Systems and Applications. Text coding. Fax coding. Code excited linear prediction coding. MPEG 1 layer 3 coding (MP3). Electronic music (MIDI). Image processing (GIF, JPEG). Video Processing (MPEG-2 and MPEG-4). Asymmetric Digital Subscriber Line (ADSL).

A.B. Carlson, P.B. Crilly, J.C. Rutledge, "Communication Systems: an introduction to signals and noise in electrical communication", McGraw-Hill international Edition publ.

Claudio Prati, "Segnali e Sistemi per le Telecomunicazioni", seconda edizione, McGraw-Hill, 2010.

An introduction to Communication, Messages and Signals, Signals and Spectra. Elements and Limitations of Communications Systems. Information, Messages, and Signals. Elements of a Communication System. Fundamental Limitations. Modulation and Coding. Signals and Spectra. Line Spectra and Fourier Series. Phasors and Line Spectra. Periodic Signals and Average Power. Fourier Series. Parseval’s Power Theorem. Fourier Transforms and Continuous Spectra. Time and Frequency Relations. Convolution. Convolution Theorems. Impulses and Transforms in the Limit. Properties of the Unit Impulse. Impulses in Frequency. Step and Signum Functions. Impulses in Time. Correlation and Spectral Density. Correlation of Power Signals. Correlation of Energy Signals. Spectral Density Functions.

Sampling Theorem and Signal Transformation. Sampling Theory and Practice. Sampling and Reconstruction. Practical Sampling and Aliasing. Response of LTI Systems. Impulse Response and the Superposition Integral. Transfer Functions and Frequency Response. Signal Distortion in Transmission. Distortionless Transmission. Linear Distortion. Equalization. Transmission Loss and Decibels. Power Gain. Transmission Loss and Repeaters. Fiber Optics. Radio Transmission. Filters and Filtering. Ideal Filters. Bandlimiting and Timelimiting. Real Filters. Pulse-Amplitude Modulation. Noise and Errors. Binary Error Probabilities. Regenerative Repeaters. Matched Filtering. Correlation Detector.

Probability and Random Variables. Probability and Sample Space. Probabilities and Events. Sample Space and Probability Theory. Conditional Probability and Statistical Independence. Random Variables and Probability Functions. Discrete Random Variables and CDFs. Continuous Random Variables and PDFs. Transformations of Random Variables. Joint and Conditional PDFs. Statistical Averages. Means, Moments, and Expectation. Standard Deviation. Characteristic Functions. Probability Models. Binomial Distribution. Gaussian Distribution. Central Limit Theorem.

Information and Detection Theory. Information Measure and Source Coding. Information Measure. Entropy and Information Rate. Coding for a Discrete Memoryless Channel. Continuous Channels and System Comparisons. Continuous Information. Continuous Channel Capacity. Ideal Communication Systems. System Comparisons. Optimum Digital Detection. Optimum Detection and MAP Receivers. Error Probabilities

Baseband and Bandpass Digital Transmission. Digital Signals and Systems. Digital PAM Signals. Transmission Limitations. Power Spectra of Digital PAM. Spectral Shaping by Precoding. Digital CW Modulation. Spectral Analysis of Bandpass Digital Signals. Amplitude Modulation Methods. Phase Modulation Methods. Frequency Modulation Methods. Minimum-Shift Keying (MSK). Coherent Binary Systems. Optimum Binary Detection. Coherent OOK, BPSK, and FSK. Timing and Synchronization. Interference. Quadrature-Carrier and M-ary Systems. Quadrature-Carrier Systems. M-ary PSK Systems. M-ary QAM Systems. M-ary FSK Systems. Comparison of Digital Modulation Systems

Wired and Wireless Systems and Applications. Text coding. Fax coding. Code excited linear prediction coding. MPEG 1 layer 3 coding (MP3). Electronic music (MIDI). Image processing (GIF, JPEG). Video Processing (MPEG-2 and MPEG-4). Asymmetric Digital Subscriber Line (ADSL).

- A.B. Carlson, P.B. Crilly, J.C. Rutledge, "Communication Systems: an introduction to signals and noise in electrical communication", McGraw-Hill International Edition.
- C. Prati, "Segnali e Sistemi per le Telecomunicazioni", II ed., McGraw-Hill, 2010.
- R. Cusani, "Teoria dei Segnali", 2001, Ingegneria 2000

1. INTRODUZIONE
SISTEMI AD EVENTI DISCRETI (SED)
MODELLI AD EVENTI DISCRETI (MED)
• MED LOGICI
• MED TEMPORIZZATI
2. ANALISI E REGOLAZIONE DEI FLUSSI PRODUTTIVI
TEORIA DELLE FILE D'ATTESA: RELAZIONI FONDAMENTALI
PROCESSI DI NASCITA E MORTE
TEORIA DELLE CODE E ANALISI DELLE PRESTAZIONI NEI SISTEMI A FLUSSO
RETI DI CODE APERTE
RETI DI CODE CHIUSE
3. MED LOGICI
AUTOMI
4. MED TEMPORIZZATI
RAPPRESENTAZIONE CON RETI DI PETRI DI SISTEMI DI CONTROLLO AD EVENTI DISCRETI:
ELEMENTI DELLE RETI DI PETRI: EVENTI , TRANSIZIONI; CONDIZIONI, POSTI, MARCHE; MARCATURA INIZIALE
MATRICI PRE , POST, DI INCIDENZA; RETI MARCATE: GRAFO DI STATO; EQUAZIONE DI STATO, DI TRANSIZIONE
CONFLITTI, MODELLO DI MAGAZZINO, ARCHI INIBITORI; CONCORRENZA, MODELLO DEI GUASTI; TEMPORIZZAZIONE; CONTROLLO SUPERVISORE
PROPRIETÀ DELLE RETI DI PETRI: CONSERVATIVITÀ, LIMITATEZZA, VIVEZZA, CICLICITÀ
INVARIANTI DI POSTO, DI TRANSIZIONE; GRAFI DI SINCRONIZZAZIONE.
RAPPRESENTAZIONE DEL CONTROLLO SUPERVISORE NELLE RETI DI PETRI

DI FEBBRARO A., GIUA A., SISTEMI AD EVENTI DISCRETI , MCGRAW-HILL, 2002
DISPENSE DISPONIBILI SUL SITO HTTP://ADACHER.DIA.UNIROMA3.IT

1. INTRODUZIONE
SISTEMI AD EVENTI DISCRETI (SED)
MODELLI AD EVENTI DISCRETI (MED)
• MED LOGICI
• MED TEMPORIZZATI
2. ANALISI E REGOLAZIONE DEI FLUSSI PRODUTTIVI
TEORIA DELLE FILE D'ATTESA: RELAZIONI FONDAMENTALI
PROCESSI DI NASCITA E MORTE
TEORIA DELLE CODE E ANALISI DELLE PRESTAZIONI NEI SISTEMI A FLUSSO
RETI DI CODE APERTE
RETI DI CODE CHIUSE
3. MED LOGICI
AUTOMI
4. MED TEMPORIZZATI
RAPPRESENTAZIONE CON RETI DI PETRI DI SISTEMI DI CONTROLLO AD EVENTI DISCRETI:
ELEMENTI DELLE RETI DI PETRI: EVENTI , TRANSIZIONI; CONDIZIONI, POSTI, MARCHE; MARCATURA INIZIALE
MATRICI PRE , POST, DI INCIDENZA; RETI MARCATE: GRAFO DI STATO; EQUAZIONE DI STATO, DI TRANSIZIONE
CONFLITTI, MODELLO DI MAGAZZINO, ARCHI INIBITORI; CONCORRENZA, MODELLO DEI GUASTI; TEMPORIZZAZIONE; CONTROLLO SUPERVISORE
PROPRIETÀ DELLE RETI DI PETRI: CONSERVATIVITÀ, LIMITATEZZA, VIVEZZA, CICLICITÀ
INVARIANTI DI POSTO, DI TRANSIZIONE; GRAFI DI SINCRONIZZAZIONE.
RAPPRESENTAZIONE DEL CONTROLLO SUPERVISORE NELLE RETI DI PETRI

DI FEBBRARO A., GIUA A., SISTEMI AD EVENTI DISCRETI , MCGRAW-HILL, 2002
DISPENSE DISPONIBILI SUL SITO HTTP://ADACHER.DIA.UNIROMA3.IT

PART 1: Generalities and tools.
Definitions of computational problem, algorithm, data structure.
Random Access Machine and pseudocode.
Asympthotic study of functions (big-O, Omega, and Theta notations).
Asympthotic complexity of algorithms and problems.
Ammortized complexity.
Worst/average/best case analysis.
Recursion and recursion equalities.
Theorems for the analysis of recursion equalities.

PART 2: Abstract data types.
Abstract data types and their representations.
Already known examples: sets, stacks, queues, lists, etc.
Management of dynamic data structures.
Trees: binary trees; arbitrary degree trees; traversals of trees; binary search trees; red-black trees.
Hash tables.
Graphs: representations with adjacency matrix and adjacency lists. DFS and BFS. Graphs and connectivity. Connected components. Minimum-lengths paths.

PART 3: Algorithmic paradigms.
Greedy algorithms (example: selection sort).
Iterative algorithms (example: insertion sort).
Divide et impera algorithms (examples: merge-sort and quick-sort).

PART 4: The course requires (and sometimes recalls) the following notions of C Language.
Imperative programming.
Elementary data types.
Functions.
Arrays and pointers.
Strings.
Memory management: Heap and Stack.
Management of C projects: prototypes and implementations.
Recursion and memory.
Records and pointes.
Dynamic memory management.

Slides provided by the teacher and downloadable day by day from the course website: http://www.dia.uniroma3.it/~infovis/
In order to download the slides the usual userid-password pair of Roma Tre University is sufficient.

1. Introduction to Operations Research
Formulations, the five phases method
Elements of Linear Algebra
2. Formulation of typical optimization problems
Blending
Resource allocation
Lot sizing
Cutting stock
Assignment
Planning
3. Solution of Linear Programming problems
Geometry of LP
The simplex algorithm
The Fourier-Motzkin method
geometrical interpretation of the simplex algorithm
4. Duality theory
The dual problem
Duality theorems
Complementarity theorem
Economic interpretation of the dual problem
Sensitivity analysis
5. The simplex network algorithm
Minimum cost flow problem
Basis and spanning trees
Change of basis
Phase 1 and Phase 2
6. Network optimization
Maximum flow problem
Shortest path problem
Minimum spanning tree problem

Caramia, Giordani, Guerriero, Musmanno, Pacciarelli, "Ricerca Operativa", Isedi, Italia, 2014

The course is a first level one in automatic control and provides methodological and practical knowledge about:
-Modelling, Simulating and analyze the behavior of physical systems, in particular those that are linear and time invariant;
-Basic concepts on the system dynamics, as stability, transient response and forced one;
-Frequency based design of feedback control systems;
-Digital implementations of linear controllers;
-Use of mainstream software tools to aid in the previous activities.

- Introduction to Computer Architecture
- Binary representation of numbers
- The general organization of a computer
- Digital circuits of a computer
- Bus and communication protocols
- The microarchitecture of a computer
- Programming in Assembler

A.S. Tanenbaum, T. Austin. Structured Computer Organization, 6th edition, Prentice Hall

JAVA
CODE QUALITY
POLYMORPHISM
COLLECTIONS
CODE REUSE
STREAM, EXCEPTIONS
EVENT PROGRAMMING
GUI

Slides, source code, tests, and homeworks available on the course site.

Database systems: general properties. Relational model. Relational algebra. SQL. Conceptual database design. Logical database design. Normalization-

P. Atzeni et al. Basi di dati 4/Ed. McGraw-Hill, 2014 (in alternative, any major database textbook, contact the instructor for advice)
Additional material available on the course site:
http://www.dia.uniroma3.it/~atzeni/didattica/BDN/BDNindex.html

Elements of economic analysis
Demand and supply behavior: Budget constraint, demand elasticity; production decisions, profit maximization, technology and production function, cost functions (short and long term).

Management accounting: Full costs and their applications; Direct and indirect costs. Variable and fixed costs.
Accounting methods: traditional indirect allocation methods; job and process costing; activity based costing

Capital budgeting:
Discounted Cash flows: discount rate and its role as an opportunity cost; NPV, IRR and Payback rule; Compund and linear rate of return; Nominal and real discount rate; Project interaction.

“ECONOMIA APPLICATA ALL’INGEGNERIA”, MC GRAW HILL EDITOR “CREATE” BOOK

THE BOOK HAS BEEN MADE BY MERGING THE FOLLOWING BOOK CHAPTERS
BERNHEIM, WHINSTON, “MICROECONOMIA”, 3/ED, MC GRAW HILL, 2017 – CAPITOLI DA 1 A 8

ANTHONY, HAWKINS, MACRI’, MERCHANT, “SISTEMI DI CONTROLLO” 14/ED, MAC GRAW HILL, 2016 – CAPITOLI DA 1 A 6 E DA 14 A 18

Introduction to computer networks; The Iso-Osi reference model; The IEEE 802 Project: Architecture, MAC Layer, LLC Layer; CSMA/CD; ETHERNET and IEEE 802.3; Functions and technical features of Switches (Bridges); Evolution of Ethernet; Wireless networks and CSMA/CA; Line protocols; The Network layer and IP; ICMP, PING and TRACEROUTE; The Transport Layer, TCP, and UDP; The Domain Name System; HTML; HTTP; The Electronic mail service; The file transfer service.

SLIDES SUPPLIED BY THE PROFESSOR; THE STUDENTS MAY USE JAMES F. KUROSE, KEITH W. ROSS "INTERNET AND COMPUTER NETWORKS" PEARSON EDUCATION

- Computer Architecture, CPU, Registry, execution, interrupt, memory hierarchy, I/O, procedure
- Modern Operating Systems: definition, goals, layer architecture, kernel/user mode
- process: dispatching, state, description and control, common models and memory management for process execution
- memory management: allocation, partitioning, best/first/next fit, buddy algorithm, paging, segmentation
- Virtual memory
- process address space, page fault, trashing, policies: fetch cleaning eviction placement, page buffering, load control, disk caching, memory mapped files.
- Hw support: paging, page tables, inverted page tables, MAS and SAS, TLB, page size, segmentation
- Resident set management: OPT, LRU, FIFO, CLOCK, Aging.
- Working set: definition, LRU, PFF.
- Scheduling: FCFS, RR, VRR, SPN, SRT, FB, comparisons, linux 2.6
- Disk Scheduling, RAID
- UNIX File Management, inode, Linux VFS, ext2

- process management via C Programming Language

- linux introduction
- documentation (man, info, less), filesystem organization, basic commands (ls, pwd, cd, cat).
- shell: bash, prompt, help, environment variable, env, $PATH, export;
- file and directory management: touch, mv, rm, cp, mkdir, rmdir
- editors and graphical framework: vi, emacs, X, window manager, gnome, kde, kwrite, gedit
- process linux: sleeping ready/running and stopped, terminal, standard input, output, error, I/O, redirection, ps, top, pstree, ^C, ^Z, background, bg, fg, &, kill, kill -9, signals
- regular expressions and grep, sed, stdin, stdout, stderr, redirection (,,, 2), background (&), and (&&), or (||), time, alias, du, df, g(un)zip, b(un)zip, (un)lzma, tar
- Scripting and awk (patterns, statements, flow control, variables, array, $0..$n, FS, RS, NR, NF).
- linux filesystem: mount, stat, ln
- Debugger: gdb stepping, breakpoints, watching, backtrace. Comandi gdb: r, quit, b, info br, help, l, n, s, dis, del, bt, frame, c, ignore, cond, p, display.

- service virtualization: Docker
- Docker Run
- Terminology -2.0 Webapps with Docker
- Docker Images
- Dockerfile
- Docker on AWS -3.0 Multi-container Environments
- Docker Network
- Docker Compose

The lessons are partially based on the book:

W. Stallings, "Operating Systems: Internals and Design Principles", 6th edition. Prentice Hall.

Some contents are available on the slides linked in the HomePage of the course.
For practical exercises there is no book and there supposes the student attending the course. However the following information could be useful:

On-line Documentations about Unix/Linux commands.
M. Cooper - Advanced Bash-Scripting Guide
Any Tutorial about AWK
Any Tutorial about C Programming Language

Software processes; Iterative and agile development.
Requirements; Use cases.
Object-oriented software analysis; Domain modeling; System operations; Operation contracts.
Object-oriented software design; Principles of software design; GRASP patterns; Use case realizations; Dynamic and static design; Design patterns; Layered architecture.
Software modeling; UML.

CRAIG LARMAN, APPLICARE UML E I PATTERN – ANALISI E PROGETTAZIONE ORIENTATA AGLI OGGETTI, PEARSON EDUCATION ITALIA, QUARTA EDIZIONE, 2015
or
CRAIG LARMAN, APPLYING UML AND PATTERNS, PRENTICE HALL PTR, THIRD EDITION. 2004

N and induction principle, Newton binomial; Z, integers modulo n; Q, axiomatic construction of R, Archimedean property, density of Q in R, powers with real exponent; complex numbers, polar representation and n-th roots of the unit; rudiments of topology of R (isolated and accumulation points, open / closed sets); real functions of a real variable, domain, co-domain, and inverse functions; Limits of functions and their properties, limits of monotone functions ; limits of sequences, significant limits, Nepero number, bridge theorem infinite series and convergence, geometric series, convergence tests for series with positive terms (comparison, asymptotic comparison, root, ratio, condensation) and for generic series (absolute convergence, Leibniz); continuous functions and their properties, continuity of elementary functions, types of discontinuities and monotone functions, fundamental theorems on continuous functions (zeros, intermediate values, Weierstrass); derivatives of a functions, derivatives of elementary functions, fundamental theorems of differential calculus (Fermat, Rolle, Cauchy, Lagrange, de l' Hospital, Taylor's formula), monotony and sign of the derivative , local maxima /minima, convex / concave functions; graph of a function; Riemann integral and its properties, integrability of continuous functions, primitive of elementary functions, I and II fundamental theorem of (integral) calculus; integration by substitution and by parts, rational functions, some special substitutions; improper integrals; Taylor series expansions, expansions of some elementary functions.

A. Laforgia, Calcolo differenziale e integrale, Ed. Accademica;
P. Marcellini e C. Sbordone, Esercizi di Matematica, Vol. 1, tomi 1--4, Ed. Liguori;

Numerical sets (N, Z, Q and R), R assiomatic construction of R by upper extremity, Archimede properties, Q in R density, N construction and induction principle, Newton binomial and combinatorial calculus, Inequality of Bernoulli; Topology elements in R (isolated and accumulated points, open / closed sets and characterization, closure of a set) and Bolzano-Weierstrass theorem; Complex numbers, polar representation and n-th roots of the unit; Real functions of real variable, domain, co-domain, and inverse functions; Function and property limits, monotone function limits; Succession limits, significant limits, Nepero number, bridge theorem, limsup / liminf, sequences and topology, compact sets, and characterization; Continuous functions and their properties, continuity of elementary functions, types of discontinuities and monotone functions, fundamental theorems on continuous functions (zeros, intermediate values, Weierstrass); Function and function derivative, elementary function derivatives, fundamental theorems of differential calculus (Fermat, Rolle, Cauchy, Lagrange, de Hopital, Taylor's formula), monotony and derivative sign, local degradation maxima / minima, convex functions / concave; Function graph; Integration according to Riemann and property, integrability of continuous functions, primitive elementary functions, I and II fundamental theorem of integral calculation, integration for substitution and parts, rational functions, some special replacements; Numerical series and convergence, geometric series, convergence criteria for positive terms series (comparison, asymptotic comparison, root, ratio, condensation) and for series at any time (absolute convergence, Leibnitz); Taylor series developments, developments of some elementary functions; Improper integrals.

A. Laforgia, Calcolo differenziale e integrale, Ed. Accademica;
P. Marcellini e C. Sbordone, Esercizi di Matematica, Vol. 1, tomi 1--4, Ed. Liguori;

Number sets (N, Z, Q and R), axiomatic construction of R via supremum, Archimedean property, density of Q in R, construction of N in R and the inductive method, binomial formula and combinatorial calculus, real powers, the Bernoulli inequality; topological concepts in R (accumulation and isolated points, open/closed sets and characterization, closure of a set) and Bolzano-Weierstrass theorem; complex numbers, polar representation and n-roots of unity; real functions with a real variable, domain, image and inverse functions; limits for functions and properties, limits of monotone functions; limits for sequences, special limits, the Napier number, the bridge theorem,
limsup/liminf, sequences and topology, compact sets and characterization; continuous functions and their properties, continuity of elementary functions, types of discontinuities and monotone functions, fundamental theorems on continuous functions (zeroes, intermediate values, Weierstrass); derivative of a function and properties, derivatives of elementary functions, the fundamental theorems of differential calculus (Fermat, Rolle, Cauchy, Lagrange, de l'Hopital, Taylor's formula), monotonicity and sign of the derivative, degenerate local maxima/minima, convex/concave functions; graph of a function; Riemann integration and properties, integrability of continuous functions, primitives for elementary functions, I and II fundamental theorems of integral calculus, change of variables and integration by parts, rational functions, some special change of variables; numerical series and convergence, geometric series, convergence criteria for positive series (comparison, asymptotic comparison, n-th root, ratio, condensation) and for general series (absolute convergence, Leibniz); Taylor series, series of some elementary functions; improper integrals.

"Analisi Matematica 1", M. Bramanti, C.D. Pagani, S. Salsa, editore Zanichelli
"Analisi Matematica 1", C.D. Pagani, S. Salsa, editore Zanichelli
"Analisi Matematica 1", E. Giusti, editore Bollati Boringhieri
"Funzioni Algebriche e Trascendenti", B. Palumbo, M.C. Signorino, editore Accademica
"Analisi Matematica", M. Bertsch, R. Dal Passo, L. Giacomelli, editore MCGraw-Hill
"Esercizi di Analisi Matematica", S. Salsa, A. Squellati, editore Zanichelli
"Esercitazioni di Matematica: vol. 1.1 e 1.2", P. Marcellini, C. Sbordone, editore Liguori
"Esercizi e complementi di Analisi Matematica: vol. 1", E. Giusti, editore Bollati Boringhieri

The numbers refer to the chapters and paragraphs of the textbook:
Calcolo of P. Marcellini and C. Sbordone.

1) Real numbers and functions

Natural, whole and rational numbers; density of rationals (5). Axioms of real numbers (2). Overview of set theory (4).
The intuitive concept of function (6) and Cartesian representation (7).
Injective, surjective, bijective and invertible functions. Monotonic functions (8).
Absolute value (9). The principle of induction (13).

2) Complements to real numbers

Maximum, minimum, supremum, infimum.

7) Succession limits

Definition and first properties (56.57).
Limited successions (58). Operations with limits (59).
Indefinite forms (60).
Comparative theorems (61). Other properties of succession limits (62).
Notable limits (63). Monotone sequences, the number e (64).
Sequence going to infinity of increasing order (67).

8) Function limits. Continuous functions

Definition of limit and property (71,72,73).
Continuous functions (74). discontinuity (75).
Theorems on continuous functions (76).

9) Additions to the limits

The theorem on monotonic sequences (80).
Extracted successions; the Bolzano-Weierstrass theorem (81).
The Weierstrass theorem (82).
Continuity of monotonic functions and inverse functions (83).

10) Derivatives

Definition and physical meaning (88-89). Operations with derivatives (90).
Derivatives of compound functions and inverse functions (91).
Derivative of elementary functions (92).
Geometric meaning of the derivative: tangent line (93).

11) Applications of derivatives. Function study

Maximum and minimum relative. Fermat's theorem (95).
Theorems of Rolle and Lagrange (96).
Increasing, decreasing, convex and concave functions (97-98).
De l'Hopital theorem (99).
Study of the graph of a function (100).
Taylor's formula: first properties (101).

14) Integration according to Riemann

Definition (117). Properties of the defined integrals (118).
Uniform continuity. Cantor's theorem (119).
Integrability of continuous functions (120).
The theorems of the average (121).

15) Undefined integrals

The fundamental theorem of integral calculus (123).
Primitives (124). The indefinite integral (125). Integration by parts and by substitution
(126,127,128,129).
Improper integrals (132).

16) Taylor's formula

Rest of Peano (135).
Use of Taylor's formula in the calculation of limits (136).

17) Series

Numerical series (141).
Series with positive terms (142).
Geometric series and harmonic series (143.144).
Convergence criteria (145).
Alternate series (146).
Absolute convergence (147).
Taylor series (149).

P. Marcellini, C. Sbordone, Calcolo, Ed. Liguori, 1992
S. Lang, A First Course in Calculus, Springer Ed.

N and induction principle, Newton binomial; Z, integers modulo n; Q, axiomatic construction of R, Archimedean property, density of Q in R, powers with real exponent; complex numbers, polar representation and n-th roots of the unit; rudiments of topology of R (isolated and accumulation points, open / closed sets); real functions of a real variable, domain, co-domain, and inverse functions; Limits of functions and their properties, limits of monotone functions ; limits of sequences, significant limits, Nepero number, bridge theorem infinite series and convergence, geometric series, convergence tests for series with positive terms (comparison, asymptotic comparison, root, ratio, condensation) and for generic series (absolute convergence, Leibniz); continuous functions and their properties, continuity of elementary functions, types of discontinuities and monotone functions, fundamental theorems on continuous functions (zeros, intermediate values, Weierstrass); derivatives of a functions, derivatives of elementary functions, fundamental theorems of differential calculus (Fermat, Rolle, Cauchy, Lagrange, de l' Hospital, Taylor's formula), monotony and sign of the derivative , local maxima /minima, convex / concave functions; graph of a function; Riemann integral and its properties, integrability of continuous functions, primitive of elementary functions, I and II fundamental theorem of (integral) calculus; integration by substitution and by parts, rational functions, some special substitutions; improper integrals; Taylor series expansions, expansions of some elementary functions.

A. Laforgia, Calcolo differenziale e integrale, Ed. Accademica;
P. Marcellini e C. Sbordone, Esercizi di Matematica, Vol. 1, tomi 1--4, Ed. Liguori;

Numerical sets (N, Z, Q and R), R assiomatic construction of R by upper extremity, Archimede properties, Q in R density, N construction and induction principle, Newton binomial and combinatorial calculus, Inequality of Bernoulli; Topology elements in R (isolated and accumulated points, open / closed sets and characterization, closure of a set) and Bolzano-Weierstrass theorem; Complex numbers, polar representation and n-th roots of the unit; Real functions of real variable, domain, co-domain, and inverse functions; Function and property limits, monotone function limits; Succession limits, significant limits, Nepero number, bridge theorem, limsup / liminf, sequences and topology, compact sets, and characterization; Continuous functions and their properties, continuity of elementary functions, types of discontinuities and monotone functions, fundamental theorems on continuous functions (zeros, intermediate values, Weierstrass); Function and function derivative, elementary function derivatives, fundamental theorems of differential calculus (Fermat, Rolle, Cauchy, Lagrange, de Hopital, Taylor's formula), monotony and derivative sign, local degradation maxima / minima, convex functions / concave; Function graph; Integration according to Riemann and property, integrability of continuous functions, primitive elementary functions, I and II fundamental theorem of integral calculation, integration for substitution and parts, rational functions, some special replacements; Numerical series and convergence, geometric series, convergence criteria for positive terms series (comparison, asymptotic comparison, root, ratio, condensation) and for series at any time (absolute convergence, Leibnitz); Taylor series developments, developments of some elementary functions; Improper integrals.

A. Laforgia, Calcolo differenziale e integrale, Ed. Accademica;
P. Marcellini e C. Sbordone, Esercizi di Matematica, Vol. 1, tomi 1--4, Ed. Liguori;

Dynamics of systems of material points
- systems of material points. Internal and external forces
- First cardinal equation for systems dynamics
- Center of mass and its motion
- Conservation of momentum
- Collisions (brief notes)
- Moment of a force and angular momentum
- Second cardinal equation for systems dynamics
- Conservation of angular momentum
- Koenig theorems

Rigid body dynamics
- Definition of rigid body and its properties
- Continuous bodies. Density and center of mass
- Rigid body kinematics. Angular velocity
- Rigid body dynamics. Rotations around a fixed axis
- Moment of inertia
- Huygens-Steiner theorem
- Compound pendulum
- Rolling motion
- Equilibrium for a rigid body

Introduction to fields
- Gravitational field and electric field
- Gauss's law
- Electric potential
- Lorentz force and magnetic field
- Stationary electric currents
- Ohm's law

Thermodynamics
- Kinetic theory of ideal gases (brief notes)
- Temperature and pressure
- Thermodynamic systems and states
- Thermodynamic equilibrium
- Mechanical work and heat
- First law of thermodynamics
- Thermodynamic processes (adiabatic, reversible, irreversible)
- Heat capacity and specific heat
- Ideal gas law
- Specific heat of ideal gases
- Cyclic processes and the Carnot cycle
- Second law of thermodynamics
- Carnot's theorem
- Clausius theorem
- Entropy (brief notes)

- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. I:
Meccanica - Termodinamica", seconda edizione, Edises, Napoli

- R. Borghi, "Lezioni di Meccanica", amazon.com

For further studies, the following is suggested:
- R. P. Feynman, "La Fisica di Feynman", volumes 1 and 2 (freely available at http://feynmanlectures.info/)

Dynamics of systems of material points
- systems of material points. Internal and external forces
- First cardinal equation for systems dynamics
- Center of mass and its motion
- Conservation of momentum
- Collisions (brief notes)
- Moment of a force and angular momentum
- Second cardinal equation for systems dynamics
- Conservation of angular momentum
- Koenig theorems

Rigid body dynamics
- Definition of rigid body and its properties
- Continuous bodies. Density and center of mass
- Rigid body kinematics. Angular velocity
- Rigid body dynamics. Rotations around a fixed axis
- Moment of inertia
- Huygens-Steiner theorem
- Compound pendulum
- Rolling motion
- Equilibrium for a rigid body

Introduction to fields
- Gravitational field and electric field
- Gauss's law
- Electric potential
- Lorentz force and magnetic field
- Stationary electric currents
- Ohm's law

Thermodynamics
- Kinetic theory of ideal gases (brief notes)
- Temperature and pressure
- Thermodynamic systems and states
- Thermodynamic equilibrium
- Mechanical work and heat
- First law of thermodynamics
- Thermodynamic processes (adiabatic, reversible, irreversible)
- Heat capacity and specific heat
- Ideal gas law
- Specific heat of ideal gases
- Cyclic processes and the Carnot cycle
- Second law of thermodynamics
- Carnot's theorem
- Clausius theorem
- Entropy (brief notes)

- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. I:
Meccanica - Termodinamica", seconda edizione, Edises, Napoli

- R. Borghi, "Lezioni di Meccanica", amazon.com

For further studies, the following is suggested:
- R. P. Feynman, "La Fisica di Feynman", volumes 1 and 2 (freely available at http://feynmanlectures.info/)

Dynamics of systems of material points
- systems of material points. Internal and external forces
- First cardinal equation for systems dynamics
- Center of mass and its motion
- Conservation of momentum
- Collisions (brief notes)
- Moment of a force and angular momentum
- Second cardinal equation for systems dynamics
- Conservation of angular momentum
- Koenig theorems

Rigid body dynamics
- Definition of rigid body and its properties
- Continuous bodies. Density and center of mass
- Rigid body kinematics. Angular velocity
- Rigid body dynamics. Rotations around a fixed axis
- Moment of inertia
- Huygens-Steiner theorem
- Compound pendulum
- Rolling motion
- Equilibrium for a rigid body

Introduction to fields
- Gravitational field and electric field
- Gauss's law
- Electric potential
- Lorentz force and magnetic field
- Stationary electric currents
- Ohm's law

Thermodynamics
- Kinetic theory of ideal gases (brief notes)
- Temperature and pressure
- Thermodynamic systems and states
- Thermodynamic equilibrium
- Mechanical work and heat
- First law of thermodynamics
- Thermodynamic processes (adiabatic, reversible, irreversible)
- Heat capacity and specific heat
- Ideal gas law
- Specific heat of ideal gases
- Cyclic processes and the Carnot cycle
- Second law of thermodynamics
- Carnot's theorem
- Clausius theorem
- Entropy (brief notes)

- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. I:
Meccanica - Termodinamica", seconda edizione, Edises, Napoli

- R. Borghi, "Lezioni di Meccanica", amazon.com

For further studies, the following is suggested:
- R. P. Feynman, "La Fisica di Feynman", volumes 1 and 2 (freely available at http://feynmanlectures.info/)

Dynamics of systems of material points
- systems of material points. Internal and external forces
- First cardinal equation for systems dynamics
- Center of mass and its motion
- Conservation of momentum
- Collisions (brief notes)
- Moment of a force and angular momentum
- Second cardinal equation for systems dynamics
- Conservation of angular momentum
- Koenig theorems

Rigid body dynamics
- Definition of rigid body and its properties
- Continuous bodies. Density and center of mass
- Rigid body kinematics. Angular velocity
- Rigid body dynamics. Rotations around a fixed axis
- Moment of inertia
- Huygens-Steiner theorem
- Compound pendulum
- Rolling motion
- Equilibrium for a rigid body

Introduction to fields
- Gravitational field and electric field
- Gauss's law
- Electric potential
- Lorentz force and magnetic field
- Stationary electric currents
- Ohm's law

Thermodynamics
- Kinetic theory of ideal gases (brief notes)
- Temperature and pressure
- Thermodynamic systems and states
- Thermodynamic equilibrium
- Mechanical work and heat
- First law of thermodynamics
- Thermodynamic processes (adiabatic, reversible, irreversible)
- Heat capacity and specific heat
- Ideal gas law
- Specific heat of ideal gases
- Cyclic processes and the Carnot cycle
- Second law of thermodynamics
- Carnot's theorem
- Clausius theorem
- Entropy (brief notes)

- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. I:
Meccanica - Termodinamica", seconda edizione, Edises, Napoli

- R. Borghi, "Lezioni di Meccanica", amazon.com

For further studies, the following is suggested:
- R. P. Feynman, "La Fisica di Feynman", volumes 1 and 2 (freely available at http://feynmanlectures.info/)

Introduction
- Physical quantities and units
- Fundamentals on vector algebra

Kinematics of a material point
- Kinematics quantities in the rectilinear motion
- Uniformly accelerated rectilinear motion
- Simple harmonic motion
- Kinematics in 2-D and 3-D
- Motion trajectory
- Tangential and normal components of acceleration (*)
- Parabolic motion
- Circular motion (*)
- Relative motion

Dynamics of a material point
- Principles of Dynamics and Newton's laws
- Momentum and Impulse
- Equilibrium and constraint reaction forces
- Gravitational force
- Weight and motion under gravity
- Forces and motion
- Forces of dry friction
- Inclined plane
- Elastic force and mass-spring system
- Tension force in ropes
- Applications to circular motion
- Viscous force (*)
- Electrical charge and Coulomb force
- Simple pendulum
- Inertial and non-inertial reference frames
- Inertial forces

Work and Energy
- Work and power
- Work of weight, elastic and dry friction forces
- Work-energy theorem. Applications
- Conservative forces. Potential energy
- Central forces
- Gravitational and electrostatic potential energies
- Conservation of mechanical energy. Applications
- Stability conditions for static equilibrium (*)

- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. I: Meccanica - Termodinamica", seconda edizione, Edises, Napoli
- R. Borghi, "Lezioni di Meccanica", amazon.com

(*) Notes on selected arguments are also available on the
course website, under the section complementi

For further studies, the following is suggested:
- R. P. Feynman, "La Fisica di Feynman", volumes 1 and 2
(freely available at http://feynmanlectures.info/)

Introduction
- Physical quantities and units
- Fundamentals on vector algebra

Kinematics of a material point
- Kinematics quantities in the rectilinear motion
- Uniformly accelerated rectilinear motion
- Simple harmonic motion
- Kinematics in 2-D and 3-D
- Motion trajectory
- Tangential and normal components of acceleration (*)
- Parabolic motion
- Circular motion (*)
- Relative motion

Dynamics of a material point
- Principles of Dynamics and Newton's laws
- Momentum and Impulse
- Equilibrium and constraint reaction forces
- Gravitational force
- Weight and motion under gravity
- Forces and motion
- Forces of dry friction
- Inclined plane
- Elastic force and mass-spring system
- Tension force in ropes
- Applications to circular motion
- Viscous force (*)
- Electrical charge and Coulomb force
- Simple pendulum
- Inertial and non-inertial reference frames
- Inertial forces

Work and Energy
- Work and power
- Work of weight, elastic and dry friction forces
- Work-energy theorem. Applications
- Conservative forces. Potential energy
- Central forces
- Gravitational and electrostatic potential energies
- Conservation of mechanical energy. Applications
- Stability conditions for static equilibrium (*)

- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. I: Meccanica - Termodinamica", seconda edizione, Edises, Napoli
- R. Borghi, "Lezioni di Meccanica", amazon.com

(*) Notes on selected arguments are also available on the
course website, under the section complementi

For further studies, the following is suggested:
- R. P. Feynman, "La Fisica di Feynman", volumes 1 and 2
(freely available at http://feynmanlectures.info/)

Introduction
- Physical quantities and units
- Fundamentals on vector algebra

Kinematics of a material point
- Kinematics quantities in the rectilinear motion
- Uniformly accelerated rectilinear motion
- Simple harmonic motion
- Kinematics in 2-D and 3-D
- Motion trajectory
- Tangential and normal components of acceleration (*)
- Parabolic motion
- Circular motion (*)
- Relative motion

Dynamics of a material point
- Principles of Dynamics and Newton's laws
- Momentum and Impulse
- Equilibrium and constraint reaction forces
- Gravitational force
- Weight and motion under gravity
- Forces and motion
- Forces of dry friction
- Inclined plane
- Elastic force and mass-spring system
- Tension force in ropes
- Applications to circular motion
- Viscous force (*)
- Electrical charge and Coulomb force
- Simple pendulum
- Inertial and non-inertial reference frames
- Inertial forces

Work and Energy
- Work and power
- Work of weight, elastic and dry friction forces
- Work-energy theorem. Applications
- Conservative forces. Potential energy
- Central forces
- Gravitational and electrostatic potential energies
- Conservation of mechanical energy. Applications
- Stability conditions for static equilibrium (*)

- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. I: Meccanica - Termodinamica", seconda edizione, Edises, Napoli
- R. Borghi, "Lezioni di Meccanica", amazon.com

(*) Notes on selected arguments are also available on the
course website, under the section complementi

For further studies, the following is suggested:
- R. P. Feynman, "La Fisica di Feynman", volumes 1 and 2
(freely available at http://feynmanlectures.info/)

Introduction
- Physical quantities and units
- Fundamentals on vector algebra

Kinematics of a material point
- Kinematics quantities in the rectilinear motion
- Uniformly accelerated rectilinear motion
- Simple harmonic motion
- Kinematics in 2-D and 3-D
- Motion trajectory
- Tangential and normal components of acceleration (*)
- Parabolic motion
- Circular motion (*)
- Relative motion

Dynamics of a material point
- Principles of Dynamics and Newton's laws
- Momentum and Impulse
- Equilibrium and constraint reaction forces
- Gravitational force
- Weight and motion under gravity
- Forces and motion
- Forces of dry friction
- Inclined plane
- Elastic force and mass-spring system
- Tension force in ropes
- Applications to circular motion
- Viscous force (*)
- Electrical charge and Coulomb force
- Simple pendulum
- Inertial and non-inertial reference frames
- Inertial forces

Work and Energy
- Work and power
- Work of weight, elastic and dry friction forces
- Work-energy theorem. Applications
- Conservative forces. Potential energy
- Central forces
- Gravitational and electrostatic potential energies
- Conservation of mechanical energy. Applications
- Stability conditions for static equilibrium (*)

- P. Mazzoldi, M. Nigro, C. Voci, "Elementi di Fisica. Vol. I: Meccanica - Termodinamica", seconda edizione, Edises, Napoli
- R. Borghi, "Lezioni di Meccanica", amazon.com

(*) Notes on selected arguments are also available on the
course website, under the section complementi

For further studies, the following is suggested:
- R. P. Feynman, "La Fisica di Feynman", volumes 1 and 2
(freely available at http://feynmanlectures.info/)

Atom Structure: orbitals, poly-electron atoms, periodic table; covalent bond, delocalized bond.
Mass relationship in chemical reactions; redox and oxidation number.
Solids: metallic crystal, ionic crystal, molecular crystal, covalent crystal.
Gases: the ideal gas law, partial pressures.
Thermodynamics: nature and type of energy, the zero law of T.D., heat capacity, the first law of TD and Enthalphy, the second law of TD, entropy and free energy, equilibrium conditions.
Liquids: phase change, phase diagrams.
Chemical equilibrium: the equilibrium constant and the equilibrium law
Properties of liquid solutions: concentration units, the Raoult law and distillation, colligatives properties and freezing diagram, electrolytes.
Solutions of strong and weak electrolytes. Acids and bases, pH; Salt hydrolysis; buffer solutions.
Elettrochemistry

Appunti delle lezioni
o Depaoli - Chimica Generale ed Inorganica - Ed. Ambrosiana
o Silvestroni, Rallo - Problemi di Chimica Generale - Ed. Masson
o Palmisano, Schiavello – Fondamenti di Chimica - EDISES

Atom Structure: orbitals, poly-electron atoms, periodic table; covalent bond, delocalized bond.
Mass relationship in chemical reactions; redox and oxidation number.
Solids: metallic crystal, ionic crystal, molecular crystal, covalent crystal.
Gases: the ideal gas law, partial pressures.
Thermodynamics: nature and type of energy, the zero law of T.D., heat capacity, the first law of TD and Enthalphy, the second law of TD, entropy and free energy, equilibrium conditions.
Liquids: phase change, phase diagrams.
Chemical equilibrium: the equilibrium constant and the equilibrium law
Properties of liquid solutions: concentration units, the Raoult law and distillation, colligatives properties and freezing diagram, electrolytes.
Solutions of strong and weak electrolytes. Acids and bases, pH; Salt hydrolysis; buffer solutions.
Elettrochemistry

Tro CHEMISTRY A molecular approach EDISED ED. or any text of General Chemistry as long as it is at university level
Course slides and carried out and to be performed on moodle site

Atom Structure: orbitals, poly-electron atoms, periodic table; covalent bond, delocalized bond.
Mass relationship in chemical reactions; redox and oxidation number.
Solids: metallic crystal, ionic crystal, molecular crystal, covalent crystal.
Gases: the ideal gas law, partial pressures.
Thermodynamics: nature and type of energy, the zero law of T.D., heat capacity, the first law of TD and Enthalphy, the second law of TD, entropy and free energy, equilibrium conditions.
Liquids: phase change, phase diagrams.
Chemical equilibrium: the equilibrium constant and the equilibrium law
Properties of liquid solutions: concentration units, the Raoult law and distillation, colligatives properties and freezing diagram, electrolytes.
Solutions of strong and weak electrolytes. Acids and bases, pH; Salt hydrolysis; buffer solutions.
Elettrochemistry

Appunti delle lezioni
o Depaoli - Chimica Generale ed Inorganica - Ed. Ambrosiana
o Silvestroni, Rallo - Problemi di Chimica Generale - Ed. Masson
o Palmisano, Schiavello – Fondamenti di Chimica - EDISES

Atom Structure: orbitals, poly-electron atoms, periodic table; covalent bond, delocalized bond.
Mass relationship in chemical reactions; redox and oxidation number.
Solids: metallic crystal, ionic crystal, molecular crystal, covalent crystal.
Gases: the ideal gas law, partial pressures.
Thermodynamics: nature and type of energy, the zero law of T.D., heat capacity, the first law of TD and Enthalphy, the second law of TD, entropy and free energy, equilibrium conditions.
Liquids: phase change, phase diagrams.
Chemical equilibrium: the equilibrium constant and the equilibrium law
Properties of liquid solutions: concentration units, the Raoult law and distillation, colligatives properties and freezing diagram, electrolytes.
Solutions of strong and weak electrolytes. Acids and bases, pH; Salt hydrolysis; buffer solutions.
Elettrochemistry

Appunti delle lezioni
o Depaoli - Chimica Generale ed Inorganica - Ed. Ambrosiana
o Silvestroni, Rallo - Problemi di Chimica Generale - Ed. Masson
o Palmisano, Schiavello – Fondamenti di Chimica - EDISES

COURSE PROGRAM (First semester)

Computer operations and representation of information
-computer architecture
-operating systems
-binary arithmetic
-compilation and execution of programs

Algorithms
-program specification
-programming quality
-representation and algorithm design

Programming Fundamentals
-programming langauges
-variables
-Instructions
-types data
-Instructions structured
-style programming
-structure of the program
-functions

Software correctness
-testing methods
-debugging

Management of data sets
-arrays
-strings

COURSE PROGRAM (Second semester)

Pointers and dynamic memory allocation
Data structures, struct, files
Recursion
Sorting and searching algorithms
Computational cost of programs
- Big O, Omega and Theta notations
- best, average, and worst case analysis
Abstract data types and related structures
- lists
- queues
- stacks

Alessandro Bellini, Andrea Guidi
Linguaggio C - 5-th edition
ISBN: 9788838668210

COURSE PROGRAM (First semester)

Computer operations and representation of information
-computer architecture
-operating systems
-binary arithmetic
-compilation and execution of programs

Algorithms
-program specification
-programming quality
-representation and algorithm design

Programming Fundamentals
-programming langauges
-variables
-Instructions
-types data
-Instructions structured
-style programming
-structure of the program
-functions

Software correctness
-testing methods
-debugging

Management of data sets
-arrays
-strings

COURSE PROGRAM (Second semester)

Pointers and dynamic memory allocation
Data structures, struct, files
Recursion
Sorting and searching algorithms
Computational cost of programs
- Big O, Omega and Theta notations
- best, average, and worst case analysis
Abstract data types and related structures
- lists
- queues
- stacks

Author: Bellini, Guidi
Title: Linguaggio C - Una guida alla programmazione con elementi di Objective-C
Edition: 5-th edition
Editor: McGraw-hill
Year: 2013

Non linear resistors: diode
small-signal model of a diode
Full-wave rectifier
Zener diode
Voltage stabilizer with zener diode
Transistor
small-signal model of a transistor
Transistor as a short-circuit or open-circuit
Logic gates: NOT,AND, OR
FLIP FLOP SR
Operational amplifier (OP.AMP.)
OP.AMP. Buffer
OP.AMP. Inverting
OP.AMP. Non Inverting
OP.AMP. Comparator
OP.AMP. Clock
OP.AMP. Integrator
OP.AMP. Differentiator
OP.AMP. Summing
Digital to Analog converter

Charles K. Alexander e Matthew N.O. Sadiku "Circuiti elettrici", McGraw-Hill Education

Antonino Laudano, Francesco Riganti Fulginei, "Quaderno di appunti di elettrotecnica. Esercizi sui circuiti elettrici", Pigreco Edizioni

From fields to circuits
Kirchhoff's circuit laws
Voltage and Current
Two-pole circuit
Electric Power
Passive, linear and time-independent circuit elements
Circuit elements with memory
Series and parallel circuit elements
Active circuit elements: voltage and current ideal sources (independent or controlled)
Passive circuit elements: resistor, capacitor and inductor
Series and parallel resistor
Equivalent models
Norton e Thevenin models
Brief notes of graph theory
Tableau method for the general analisys of electric circuits
Nodal analysis
Mesh analysis
Superposition principle
Thevenin's theorem
Steady and transient states
Steady state with sinusoidal signals
Frequency-domain analysis
Active, reactive, and apparent power
Three-phase electric systems
Balanced three-phase sources and loads
Three Phase Power
Measurement of Three Phase Power
Aron's insertion
Power factor correction

Charles K. Alexander e Matthew N.O. Sadiku "Circuiti elettrici", McGraw-Hill Education

Antonino Laudano, Francesco Riganti Fulginei, "Quaderno di appunti di elettrotecnica. Esercizi sui circuiti elettrici", Pigreco Edizioni

From fields to circuits
Kirchhoff's circuit laws
Voltage and Current
Two-pole circuit
Electric Power
Passive, linear and time-independent circuit elements
Circuit elements with memory
Series and parallel circuit elements
Active circuit elements: voltage and current ideal sources (independent or controlled)
Passive circuit elements: resistor, capacitor and inductor
Series and parallel resistor
Equivalent models
Norton e Thevenin models
Brief notes of graph theory
Tableau method for the general analisys of electric circuits
Nodal analysis
Mesh analysis
Superposition principle
Thevenin's theorem
Steady and transient states
Steady state with sinusoidal signals
Frequency-domain analysis
Active, reactive, and apparent power
Three-phase electric systems
Balanced three-phase sources and loads
Three Phase Power
Measurement of Three Phase Power
Aron's insertion
Power factor correction

Charles K. Alexander e Matthew N.O. Sadiku "Circuiti elettrici", McGraw-Hill Education

Antonino Laudano, Francesco Riganti Fulginei, "Quaderno di appunti di elettrotecnica. Esercizi sui circuiti elettrici", Pigreco Edizioni

An introduction to Communication, Messages and Signals, Signals and Spectra. Elements and Limitations of Communications Systems. Information, Messages, and Signals. Elements of a Communication System. Fundamental Limitations. Modulation and Coding. Signals and Spectra. Line Spectra and Fourier Series. Phasors and Line Spectra. Periodic Signals and Average Power. Fourier Series. Parseval’s Power Theorem. Fourier Transforms and Continuous Spectra. Time and Frequency Relations. Convolution. Convolution Theorems. Impulses and Transforms in the Limit. Properties of the Unit Impulse. Impulses in Frequency. Step and Signum Functions. Impulses in Time. Correlation and Spectral Density. Correlation of Power Signals. Correlation of Energy Signals. Spectral Density Functions.

Sampling Theorem and Signal Transformation. Sampling Theory and Practice. Sampling and Reconstruction. Practical Sampling and Aliasing. Response of LTI Systems. Impulse Response and the Superposition Integral. Transfer Functions and Frequency Response. Signal Distortion in Transmission. Distortionless Transmission. Linear Distortion. Equalization. Transmission Loss and Decibels. Power Gain. Transmission Loss and Repeaters. Fiber Optics. Radio Transmission. Filters and Filtering. Ideal Filters. Bandlimiting and Timelimiting. Real Filters. Pulse-Amplitude Modulation. Noise and Errors. Binary Error Probabilities. Regenerative Repeaters. Matched Filtering. Correlation Detector.

Probability and Random Variables. Probability and Sample Space. Probabilities and Events. Sample Space and Probability Theory. Conditional Probability and Statistical Independence. Random Variables and Probability Functions. Discrete Random Variables and CDFs. Continuous Random Variables and PDFs. Transformations of Random Variables. Joint and Conditional PDFs. Statistical Averages. Means, Moments, and Expectation. Standard Deviation. Characteristic Functions. Probability Models. Binomial Distribution. Gaussian Distribution. Central Limit Theorem.

Information and Detection Theory. Information Measure and Source Coding. Information Measure. Entropy and Information Rate. Coding for a Discrete Memoryless Channel. Continuous Channels and System Comparisons. Continuous Information. Continuous Channel Capacity. Ideal Communication Systems. System Comparisons. Optimum Digital Detection. Optimum Detection and MAP Receivers. Error Probabilities

Baseband and Bandpass Digital Transmission. Digital Signals and Systems. Digital PAM Signals. Transmission Limitations. Power Spectra of Digital PAM. Spectral Shaping by Precoding. Digital CW Modulation. Spectral Analysis of Bandpass Digital Signals. Amplitude Modulation Methods. Phase Modulation Methods. Frequency Modulation Methods. Minimum-Shift Keying (MSK). Coherent Binary Systems. Optimum Binary Detection. Coherent OOK, BPSK, and FSK. Timing and Synchronization. Interference. Quadrature-Carrier and M-ary Systems. Quadrature-Carrier Systems. M-ary PSK Systems. M-ary QAM Systems. M-ary FSK Systems. Comparison of Digital Modulation Systems

Wired and Wireless Systems and Applications. Text coding. Fax coding. Code excited linear prediction coding. MPEG 1 layer 3 coding (MP3). Electronic music (MIDI). Image processing (GIF, JPEG). Video Processing (MPEG-2 and MPEG-4). Asymmetric Digital Subscriber Line (ADSL).

Testi di Riferimento
A.B. Carlson, P.B. Crilly, J.C. Rutledge, "Communication Systems: an introduction to signals and noise in electrical communication", McGraw-Hill international Edition publ.

Claudio Prati, "Segnali e Sistemi per le Telecomunicazioni", seconda edizione, McGraw-Hill, 2010.

An introduction to Communication, Messages and Signals, Signals and Spectra. Elements and Limitations of Communications Systems. Information, Messages, and Signals. Elements of a Communication System. Fundamental Limitations. Modulation and Coding. Signals and Spectra. Line Spectra and Fourier Series. Phasors and Line Spectra. Periodic Signals and Average Power. Fourier Series. Parseval’s Power Theorem. Fourier Transforms and Continuous Spectra. Time and Frequency Relations. Convolution. Convolution Theorems. Impulses and Transforms in the Limit. Properties of the Unit Impulse. Impulses in Frequency. Step and Signum Functions. Impulses in Time. Correlation and Spectral Density. Correlation of Power Signals. Correlation of Energy Signals. Spectral Density Functions.

Sampling Theorem and Signal Transformation. Sampling Theory and Practice. Sampling and Reconstruction. Practical Sampling and Aliasing. Response of LTI Systems. Impulse Response and the Superposition Integral. Transfer Functions and Frequency Response. Signal Distortion in Transmission. Distortionless Transmission. Linear Distortion. Equalization. Transmission Loss and Decibels. Power Gain. Transmission Loss and Repeaters. Fiber Optics. Radio Transmission. Filters and Filtering. Ideal Filters. Bandlimiting and Timelimiting. Real Filters. Pulse-Amplitude Modulation. Noise and Errors. Binary Error Probabilities. Regenerative Repeaters. Matched Filtering. Correlation Detector.

Probability and Random Variables. Probability and Sample Space. Probabilities and Events. Sample Space and Probability Theory. Conditional Probability and Statistical Independence. Random Variables and Probability Functions. Discrete Random Variables and CDFs. Continuous Random Variables and PDFs. Transformations of Random Variables. Joint and Conditional PDFs. Statistical Averages. Means, Moments, and Expectation. Standard Deviation. Characteristic Functions. Probability Models. Binomial Distribution. Gaussian Distribution. Central Limit Theorem.

Information and Detection Theory. Information Measure and Source Coding. Information Measure. Entropy and Information Rate. Coding for a Discrete Memoryless Channel. Continuous Channels and System Comparisons. Continuous Information. Continuous Channel Capacity. Ideal Communication Systems. System Comparisons. Optimum Digital Detection. Optimum Detection and MAP Receivers. Error Probabilities

Baseband and Bandpass Digital Transmission. Digital Signals and Systems. Digital PAM Signals. Transmission Limitations. Power Spectra of Digital PAM. Spectral Shaping by Precoding. Digital CW Modulation. Spectral Analysis of Bandpass Digital Signals. Amplitude Modulation Methods. Phase Modulation Methods. Frequency Modulation Methods. Minimum-Shift Keying (MSK). Coherent Binary Systems. Optimum Binary Detection. Coherent OOK, BPSK, and FSK. Timing and Synchronization. Interference. Quadrature-Carrier and M-ary Systems. Quadrature-Carrier Systems. M-ary PSK Systems. M-ary QAM Systems. M-ary FSK Systems. Comparison of Digital Modulation Systems

Wired and Wireless Systems and Applications. Text coding. Fax coding. Code excited linear prediction coding. MPEG 1 layer 3 coding (MP3). Electronic music (MIDI). Image processing (GIF, JPEG). Video Processing (MPEG-2 and MPEG-4). Asymmetric Digital Subscriber Line (ADSL).

- A.B. Carlson, P.B. Crilly, J.C. Rutledge, "Communication Systems: an introduction to signals and noise in electrical communication", McGraw-Hill International Edition.
- C. Prati, "Segnali e Sistemi per le Telecomunicazioni", II ed., McGraw-Hill, 2010.
- R. Cusani, "Teoria dei Segnali", 2001, Ingegneria 2000

1. INTRODUZIONE
SISTEMI AD EVENTI DISCRETI (SED)
MODELLI AD EVENTI DISCRETI (MED)
• MED LOGICI
• MED TEMPORIZZATI
2. ANALISI E REGOLAZIONE DEI FLUSSI PRODUTTIVI
TEORIA DELLE FILE D'ATTESA: RELAZIONI FONDAMENTALI
PROCESSI DI NASCITA E MORTE
TEORIA DELLE CODE E ANALISI DELLE PRESTAZIONI NEI SISTEMI A FLUSSO
RETI DI CODE APERTE
RETI DI CODE CHIUSE
3. MED LOGICI
AUTOMI
4. MED TEMPORIZZATI
RAPPRESENTAZIONE CON RETI DI PETRI DI SISTEMI DI CONTROLLO AD EVENTI DISCRETI:
ELEMENTI DELLE RETI DI PETRI: EVENTI , TRANSIZIONI; CONDIZIONI, POSTI, MARCHE; MARCATURA INIZIALE
MATRICI PRE , POST, DI INCIDENZA; RETI MARCATE: GRAFO DI STATO; EQUAZIONE DI STATO, DI TRANSIZIONE
CONFLITTI, MODELLO DI MAGAZZINO, ARCHI INIBITORI; CONCORRENZA, MODELLO DEI GUASTI; TEMPORIZZAZIONE; CONTROLLO SUPERVISORE
PROPRIETÀ DELLE RETI DI PETRI: CONSERVATIVITÀ, LIMITATEZZA, VIVEZZA, CICLICITÀ
INVARIANTI DI POSTO, DI TRANSIZIONE; GRAFI DI SINCRONIZZAZIONE.
RAPPRESENTAZIONE DEL CONTROLLO SUPERVISORE NELLE RETI DI PETRI

DI FEBBRARO A., GIUA A., SISTEMI AD EVENTI DISCRETI , MCGRAW-HILL, 2002
DISPENSE DISPONIBILI SUL SITO HTTP://ADACHER.DIA.UNIROMA3.IT

1. INTRODUZIONE
SISTEMI AD EVENTI DISCRETI (SED)
MODELLI AD EVENTI DISCRETI (MED)
• MED LOGICI
• MED TEMPORIZZATI
2. ANALISI E REGOLAZIONE DEI FLUSSI PRODUTTIVI
TEORIA DELLE FILE D'ATTESA: RELAZIONI FONDAMENTALI
PROCESSI DI NASCITA E MORTE
TEORIA DELLE CODE E ANALISI DELLE PRESTAZIONI NEI SISTEMI A FLUSSO
RETI DI CODE APERTE
RETI DI CODE CHIUSE
3. MED LOGICI
AUTOMI
4. MED TEMPORIZZATI
RAPPRESENTAZIONE CON RETI DI PETRI DI SISTEMI DI CONTROLLO AD EVENTI DISCRETI:
ELEMENTI DELLE RETI DI PETRI: EVENTI , TRANSIZIONI; CONDIZIONI, POSTI, MARCHE; MARCATURA INIZIALE
MATRICI PRE , POST, DI INCIDENZA; RETI MARCATE: GRAFO DI STATO; EQUAZIONE DI STATO, DI TRANSIZIONE
CONFLITTI, MODELLO DI MAGAZZINO, ARCHI INIBITORI; CONCORRENZA, MODELLO DEI GUASTI; TEMPORIZZAZIONE; CONTROLLO SUPERVISORE
PROPRIETÀ DELLE RETI DI PETRI: CONSERVATIVITÀ, LIMITATEZZA, VIVEZZA, CICLICITÀ
INVARIANTI DI POSTO, DI TRANSIZIONE; GRAFI DI SINCRONIZZAZIONE.
RAPPRESENTAZIONE DEL CONTROLLO SUPERVISORE NELLE RETI DI PETRI

DI FEBBRARO A., GIUA A., SISTEMI AD EVENTI DISCRETI , MCGRAW-HILL, 2002
DISPENSE DISPONIBILI SUL SITO HTTP://ADACHER.DIA.UNIROMA3.IT

PART 1: Generalities and tools.
Definitions of computational problem, algorithm, data structure.
Random Access Machine and pseudocode.
Asympthotic study of functions (big-O, Omega, and Theta notations).
Asympthotic complexity of algorithms and problems.
Ammortized complexity.
Worst/average/best case analysis.
Recursion and recursion equalities.
Theorems for the analysis of recursion equalities.

PART 2: Abstract data types.
Abstract data types and their representations.
Already known examples: sets, stacks, queues, lists, etc.
Management of dynamic data structures.
Trees: binary trees; arbitrary degree trees; traversals of trees; binary search trees; red-black trees.
Hash tables.
Graphs: representations with adjacency matrix and adjacency lists. DFS and BFS. Graphs and connectivity. Connected components. Minimum-lengths paths.

PART 3: Algorithmic paradigms.
Greedy algorithms (example: selection sort).
Iterative algorithms (example: insertion sort).
Divide et impera algorithms (examples: merge-sort and quick-sort).

PART 4: The course requires (and sometimes recalls) the following notions of C Language.
Imperative programming.
Elementary data types.
Functions.
Arrays and pointers.
Strings.
Memory management: Heap and Stack.
Management of C projects: prototypes and implementations.
Recursion and memory.
Records and pointes.
Dynamic memory management.

Slides provided by the teacher and downloadable day by day from the course website: http://www.dia.uniroma3.it/~infovis/
In order to download the slides the usual userid-password pair of Roma Tre University is sufficient.

1. Introduction to Operations Research
Formulations, the five phases method
Elements of Linear Algebra
2. Formulation of typical optimization problems
Blending
Resource allocation
Lot sizing
Cutting stock
Assignment
Planning
3. Solution of Linear Programming problems
Geometry of LP
The simplex algorithm
The Fourier-Motzkin method
geometrical interpretation of the simplex algorithm
4. Duality theory
The dual problem
Duality theorems
Complementarity theorem
Economic interpretation of the dual problem
Sensitivity analysis
5. The simplex network algorithm
Minimum cost flow problem
Basis and spanning trees
Change of basis
Phase 1 and Phase 2
6. Network optimization
Maximum flow problem
Shortest path problem
Minimum spanning tree problem

Caramia, Giordani, Guerriero, Musmanno, Pacciarelli, "Ricerca Operativa", Isedi, Italia, 2014

The course is a first level one in automatic control and provides methodological and practical knowledge about:
-Modelling, Simulating and analyze the behavior of physical systems, in particular those that are linear and time invariant;
-Basic concepts on the system dynamics, as stability, transient response and forced one;
-Frequency based design of feedback control systems;
-Digital implementations of linear controllers;
-Use of mainstream software tools to aid in the previous activities.

- Introduction to Computer Architecture
- Binary representation of numbers
- The general organization of a computer
- Digital circuits of a computer
- Bus and communication protocols
- The microarchitecture of a computer
- Programming in Assembler

A.S. Tanenbaum, T. Austin. Structured Computer Organization, 6th edition, Prentice Hall

JAVA
CODE QUALITY
POLYMORPHISM
COLLECTIONS
CODE REUSE
STREAM, EXCEPTIONS
EVENT PROGRAMMING
GUI

Slides, source code, tests, and homeworks available on the course site.

Elements of economic analysis
Demand and supply behavior: Budget constraint, demand elasticity; production decisions, profit maximization, technology and production function, cost functions (short and long term).

Management accounting: Full costs and their applications; Direct and indirect costs. Variable and fixed costs.
Accounting methods: traditional indirect allocation methods; job and process costing; activity based costing

Capital budgeting:
Discounted Cash flows: discount rate and its role as an opportunity cost; NPV, IRR and Payback rule; Compund and linear rate of return; Nominal and real discount rate; Project interaction.

“ECONOMIA APPLICATA ALL’INGEGNERIA”, MC GRAW HILL EDITOR “CREATE” BOOK

THE BOOK HAS BEEN MADE BY MERGING THE FOLLOWING BOOK CHAPTERS
BERNHEIM, WHINSTON, “MICROECONOMIA”, 3/ED, MC GRAW HILL, 2017 – CAPITOLI DA 1 A 8

ANTHONY, HAWKINS, MACRI’, MERCHANT, “SISTEMI DI CONTROLLO” 14/ED, MAC GRAW HILL, 2016 – CAPITOLI DA 1 A 6 E DA 14 A 18

Introduction to computer networks; The Iso-Osi reference model; The IEEE 802 Project: Architecture, MAC Layer, LLC Layer; CSMA/CD; ETHERNET and IEEE 802.3; Functions and technical features of Switches (Bridges); Evolution of Ethernet; Wireless networks and CSMA/CA; Line protocols; The Network layer and IP; ICMP, PING and TRACEROUTE; The Transport Layer, TCP, and UDP; The Domain Name System; HTML; HTTP; The Electronic mail service; The file transfer service.

SLIDES SUPPLIED BY THE PROFESSOR; THE STUDENTS MAY USE JAMES F. KUROSE, KEITH W. ROSS "INTERNET AND COMPUTER NETWORKS" PEARSON EDUCATION

Introduction to Integer Linear Programming (ILP): relation between ILP and LP, equivalent formulations, relaxations, totally unimodular matrices, standard techniques for ILP modelling. Typical ILP formulations: plant location, investment problem, sequencing problems, network optimization, transportation problems, set covering, set partitioning, set packing, crew scheduling. Exact algorithms: Branch and Bound, Cutting Planes, dynamic programming. Exact algorithms for binary and integer knapsack problems. Optimization on graphs: matching, vertex cover, max flow, independent set, Eulerian graphs and bipartite graphs. Use of an ILP commercial solver.

[1] M. FISCHETTI, "LEZIONI DI RICERCA OPERATIVA", EDIZIONI LIBRERIA PROGETTO PADOVA, ITALIA, 1995. (CHAP. 2, 5, part of 6 and 7).
[2] R. AHUJA, T. MAGNANTI, J. ORLIN, "NETWORK FLOWS", PRENTICE HALL, 1993. (PG. 189-191, 473-475, 494-496)
[3] Lecture notes.

1. INTRODUCTION
1.1. Historical background
1.2. Current Scenario and trends
1.3. Some basics of organizational theory
1.4. Project definition and properties
1.5. Project Management
1.6. Project Management Body of Knowledge

2. PROJECT LIFE CYCLE
2.1. Project Life Cycle concept
2.2. Project Life Cycle phases
2.3. Project planning
2.4. The Projects Planning & Control cycle and tools

3. LOGICAL PROJECT PLANNING
3.1. Work Breakdown Structure
3.2. Elementary tasks
3.3. Work Package Description
3.4. Responsibility Matrix

4. TECHNICAL SPECIFICATION AND CONTROL
4.1. Specifying
4.2. Technical control (Design Reviews, Tests and Audits)

5. TIME/RESOURCES PLANNING & CONTROL
5.1. Milestones
5.2. Bar Charts
5.3. Activity networks
5.4. Scheduling

6. COST PLANNING & CONTROL
6.1. Project budgeting process
6.2. Cost estimating
6.3. Project account opening process and spending authorization
6.4. Forecast of Project spending vs time (C-S CSC concept)
6.5. Earned Value
6.6. Indexes
6.7. Cost at Completion forecast
6.8. Allocated founds vs commitments

7. RISK MANAGEMENT BASICS
7.1. Risk Identification
7.2. Risk Evaluation
7.3. Risk contrast and planning
7.4. Risk Control
7.3. Decision trees
8. REPORTING
8.1. Project progress
8.2. Completion indexes
8.3. Progress meetings and reports

9. TECHNICAL DOCUMENTATION
9.1. Technical Documentation System Structure
9.2. Technical documents
9.3. Configuration Control

10.ORGANIZATIONAL AND BEHAVIORAL ISSUES
10.1. The Project Office
10.2. The Project Manager Role and skills
10.3. Team behavior, leadership types and characteristics

• INTERPERSONAL COMMUNICATION BASICS (optional)

REFERENCE BOOK:
STEFANO PROTTO “CONCETTI E STRUMENTI DI PROJECT MANAGEMENT” II ED. 2006 FRANCO ANGELI.

• ADDITIONAL DOCUMENTS DOWNLOADABLE FROM THE INTERNET PAGE OF THE COURSE:
"PRINCIPI DI ORGANIZZAZIONE STRUTTURALE IN AZIENDE AD ALTA TECNOLOGIA" (PDF)
"PROJECT OFFICE E PROJECT MANAGER" (PDF)
"CORSO PM 7 RISK 2017" (PDF)

Introduction to Digital Control System
-Discrete time system representation
-Mathematical modelling of sampling process
-Data reconstruction
Modeling discrete time systems
-Pulse transfer function
-Mapping of s-plane to z-plane
Stability analysis of discrete time system
-Routh Hourwitz stability test
-Jury stability test
Time response of discrete systems
-Transient and steady state responses
-Time response parameters of a prototype second order system
Design of sampled data control systems
-Bode plot
-Steady state compensator
-Discretization of Continuous Controllers
-Difference Approximations
-Impulse/Step Discretization
-Zero-Pole Matching
-Compensator design in w domain
PID controllers
-PID actions
-System identification
-PID parameters tuning
Quantization errors
Introduction to microcontroller: the Arduino board

Charles L. Phillips, Troy Nagle, Aranya Chakrabortty, "Digital Control System Analysis & Design", Pearson Education,2014

Computer Integrated Manufacturing. Market standards for automation networks: information networks, control networks and field buses. Supervisory control and data acquisition systems (SCADA). Structure of a Programmable Logic Controller (PLC). Programming packages for Ladder Logic and SCADA systems. Sequential Functional Chart (SFC) and its translation into Ladder Logic. Control examples of simple plants. Graphic language programming for motion control. Remote monitoring using fieldbus and general purpose LAN. Sensors for industrial applications. Motion Control. Interprocess communications and distributed services. IT security and SCADA systems.

W. Bolton, Programmable Logic Controllers, Fifth Edition, Newnes, 2009 ISBN 978-1-85617-751-1