Architectures and representations; Problems, Algorithms, Programs; Languages; Control Structures; Functions; Arrays; Input/Output; Complex Data Structures.

Think Python: How to Think Like a Computer Scientist, di Allen B. Downey, O’Reilly Media, 2012

Architectures and representations; Problems, Algorithms, Programs; Languages; Control Structures; Functions; Arrays; Input/Output; Complex Data Structures.

Think Python: How to Think Like a Computer Scientist, di Allen B. Downey, O’Reilly Media, 2012

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;

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

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;

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;

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;

Relations, equivalence relations and order relations. Partitions and quotient set. Functions and composition of functions. Injections, surjections, bijections and inverse function. Algebraic structures: groups and fields. Linear system. Gauss elimination. Matrices and matrix operations. Determinant, rank and inverse matrix. Rouché-Capelli theorem and Cramer theorem. Vector spaces and subspaces. Numeric vectors and geometric vectors. Linear independence, basis and dimension of a vector space. Inner product and vector product. Affine spaces. Euclidean geometry of R^2 and R^3. Lines, planes, sphere, projections and symmetries. Linear function and endomorphisms. Kernel and image of a linear function and rank-nullity theorem. Eigenvalues and eigenvectors. Diagonalization. Classification of conics.

F.J. Leon Trujillo, P. Mercuri. Elementi di Algebra Lineare, Ed. Efesto
F.J. Leon Trujillo, P. Mercuri. Elementi di Geometria Affine ed Euclidea, Ed. Efesto

Vector spaces. Linear dependence and independence of vectors. Basis. Dimension. Subspaces. Subspace sum. Subspace intersection. Grassmann’s relation. Matrices. Determinants. Inverse matrix. Reduction of a matrix into treads. The rank of a matrix. Linear systems. Theorem of Rouche-Capelli. Cramer's theorem. Method of Gaussian elimination. Linear applications. Kernel. Image. Linear maps and linear dependence. Linear maps and matrices. Change of basis. Similar matrices. Diagonalization of an endomorphism. Eigenvalues. Eigenvectors. Eigenspaces. Characteristic polynomial. Scalar products. Euclidean vector spaces. Elements of affine and Euclidean geometry of the plane and space.

F.J. Leon Trujillo, P. Mercuri. Elementi di Algebra Lineare, Ed. Efesto.
F.J. Leon Trujillo, P. Mercuri. Elementi di Geometria Affine ed Euclidea, Ed. Efesto.

Students will acquire basic knowledge in industrial design and drafting, with particular reference to the mechanical application field.

During the course will be developed the acquisition of basic drawing skills main machine components and the understanding of mechanical drawings of machineries. After a brief introduction to the geometrical bases, the course treats, according to the international standards, the rules and the International standards for the right representation of each component, by accounting for the function it plays into the device or assembly and for the cycle it experiences during its manufacturing.
Students follow a practical training performing hand sketches.

Readings/Bibliography
- Chirone, Tornincasa, Disegno Tecnico Industriale, ed. Il Capitello, Torino.
- UNI M1, Norme per il disegno tecnico, vol. 1,2, publ. Ente Nazionale Italiano di
Unificazione, piazza Armando Diaz 2, 20123 Milano.
- Manfè, Pozza, Scarato, Disegno meccanico, vol. 1, 2, 3, ed. Principato, Milano.

The course aims at providing the students with the acquisition of basic skills for drawing all the main machine components and understanding drawings already made by others. After a brief introduction to the geometrical bases, it treats, according to the international standards, the rules and norms for the right representation of each component, by accounting for the function it plays into the device or assembly and for the cycle it experiences during its manufacturing.
Students follow a practical training performing hand sketches.

Chirone, Tornincasa, Disegno Tecnico Industriale, ed. Il Capitello, Torino.
- UNI M1, Norme per il disegno tecnico, vol. 1,2, publ. Ente Nazionale Italiano di
Unificazione, piazza Armando Diaz 2, 20123 Milano.
- Manfè, Pozza, Scarato, Disegno meccanico, vol. 1, 2, 3, ed. Principato, Milano.

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

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

Introduzione al mondo dei materiali
- Richiami storici, evoluzione dei materiali, uno sguardo al loro interno e un cenno alle trasformazioni
- Proprietà e prestazioni dei componenti
Proprietà di base e comportamento elastico
- Proprietà intrinseche
- Proprietà estrinseche
- Sistemi di sollecitazione meccanica: corpo rigido, corpo deformabile, meccanica del continuo; elasticità lineare, legge di Hooke, comportamento elastico del solido isotropo
Composizione e struttura della materia a diverse scale dimensionali
- Composizione: molecola, legame chimico, curve di Condon-Morse; materiali ionici, materiali molecolari
- Origine termodinamica dell’elasticità
- Strutture: amorfe e cristalline, reticoli di Bravais e indici di Miller
- Difetti nei solidi cristallini: reticolari di punto, di linea e di superficie
Comportamento meccanico dei materiali
- Influenza di T e t sul comportamento meccanico in funzione della natura del materiale
- Sollecitazioni statiche a trazione a bassa T: curva sforzo-deformazione (campo elastico, campo plastico, punti critici)
- Proprietà meccaniche: duttilità, durezza, fragilità, resilienza e tenacità (tecniche di misura delle proprietà)
- Meccanica della frattura: teoria energetica di Griffith, fattore di intensificazione degli sforzi, tenacità a frattura
- Sollecitazioni dinamiche: fatica, curva di Wohler, legge di Paris-Erdogan
Sistemi mono e plurifasici
- Termodinamica dei sistemi: Termodinamica degli stati condensati, concetti di base, primo principio, secondo principio, condizioni di equilibrio, stati di non equilibrio, I e II principio insieme, funzioni di stato caratteristiche
- solubilità allo stato solido: curve di raffreddamento di sistemi ad un componente, stato di aggregazione, regole di Hume-Rothery, soluzioni solide, fase
- dipendenza della solubilità da composizione, temperatura e pressione: regola di Gibbs e della leva, energia di Gibbs, curve di Gibbs, equilibri delle fasi nei sistemi binari
- trasformazioni di fase allo stato solido: meccanismi di diffusione, energia di attivazione e leggi di Fick
- cinetiche di solidificazione e microstrutture: nucleazione e accrescimento, principali trasformazioni termodinamiche, microstrutture
Introduzione alle principali classi di materiali metallici
- Leghe a base ferro: classificazione acciai e ghise, principali diagrammi di fase, classificazione trattamenti termici specifici; acciai speciali, inossidabili e applicazioni.
- Leghe di Titanio: proprietà, processi – applicazioni
- Leghe di alluminio: proprietà, processi – applicazioni
Introduzione alle principali classi di materiali non metallici
- Polimeri e compositi a matrice polimerica: proprietà, processi, applicazioni
- Ceramici: proprietà, processi, cenni alla statistica di Weibull – applicazioni
Richiami, complementi, approfondimenti ed esercitazioni numeriche previste per ogni argomento.

W.D. Callister, Scienza e Ingegneria dei Materiali
Esercitazioni: su dispense del docente e su Moodle3
Slide proiettate a lezione: in pdf su Moodle 3
Dispense online sul sito STM
Gestione del corso: http://moodle3.ing.uniroma3.it/

Introduction

Units of Measures

1. HEAT TRANSFERS

1) Conduction
phenomenology of heat transfers; general information on thermal fields; Fourier postulated. Fourier's equation, in Cartesian and cylindrical coordinates, with and without internal heat development. Examples of exact solutions: flatbed and cylindrical layer steady. Sull'adduzione limit signs on faces. The similarity of insulating critical elettrica.Raggio. Example variable regime: periodic regime stabilized in a semi-infinite half

2) Convection
Definition. Natural convection and forced convection. Schematic of the phenomenon. Definition of the heat exchange coefficient. dimensional analysis. Buckingham theorem. Method of indexes. Determination of dimensional characteristics of heat transfer variables. Applications.

3) Irradiation
Kirchhoff's law. Planck's law, Stefan-Boltzmann and Wien. gray bodies. Applications.

4) Complex Phenomena
Heat transfer by adduction. Applications.


2. Applied Thermodynamics

1) Thermodynamic systems
Thermodynamics principles. Temperature. thermodynamic equilibrium. Work in a closed system. Temperature concept.

2) First law
Conversion and energy transformation: the formulation of the first principle. internal energy. Specific heat.

3) Second law
Statements of the second law. Carnot cycle. Carnot's theorem. Thermodynamic temperature scale. Entropy. Reversible and irreversible transformation.


4) thermodynamic cycles
Cycle of the steam turbine (Rankine). Cycle of compression refrigerating machines saturated vapor.

5) Thermodynamics Air
gaseous mixtures. moist air. Absolute and relative humidity. dew point temperature. Enthalpy associated. Mollier diagram. moist air transformation. Psychrometer.
energy exchanges between man and environment. thermal comfort. wellness equations. Thermal comfort indices: actual temperature, PMV, PPD.

6) Quality and air treatment
The air quality in the neighboring environments. Heating equipment (outline) Air-conditioning systems (notes) Air-conditioning systems: all-air systems (notes). mixed systems (notes).


3. APPLIED ACOUSTICS

1) Definition fundamental physical quantities, sound fields and propagation of acoustic waves. Sound sources and their types. Characterization of the stimulus. Scale decibel

2) The auditory organ and psychophysical quantities. Normal Audiogram.

3) Hearing the sounds: Acoustic of a room, the reverberation time, the quality indexes of a room acoustic treatments.

4) Hearing noise: characterization of the phenomenon, the evaluation indices, current legislation.

5) Measurement Methods: description of the used instrumentation and measurement methodologies, current legislation.

4. LIGHTING

1) Definition fundamental physical quantities, basic laws of radiation. Characterization of the stimulus.

2) The visual organ and psychophysical quantities. Photometry and colorimetry principles.

3) Methods of measurement of photometric quantities: description of the used instrumentation and measurement methodologies.

4) Artificial light sources: incandescent lamps, discharge lamps, LEDs

5) Lighting fixtures: features and operation. Photometric curves and their construction.

6) artificial lighting technology: indoor lighting, outdoor lighting. Balance of luminance. Design principles and current legislation.

1. Yunus A. Çengel, “Termodinamica e trasmissione del calore”, McGraw-Hill Education (testo base in versione completa con compendio di Acustica ed Illuminotecnica)
2. Michael Moran et al., “Elementi di Fisica Tecnica per l’Ingegneria”, McGraw-Hill (per consultazione ed approfondimento)
3. Internal Booklet

Differential equations with separable variables. Linear differential equations of first order, homogeneous and non homogeneous. Linear equations of any order with constant coefficients, homogeneous and non-homogeneous. Method of indefinite parameters. Wronskian matrix and method of constants' variation. Special cases of linear differential equations with variable coefficients: Euler equation, lowering order.

Summaries of analytical geometry, in the plane and in the space. Implicit, explicit and parametric equations. Straight lines in the plane. Bundle. Conic sections. Planes in space. Ruled surfaces. Cones and cylinders. Rotation surfaces. Quadrics.

Notes on Peano-Jordan measurement theory. Integral of functions of several variables on compact sets. Normal domains of the plane. Reducing formula for double integers. Normal domains in Space. Reducing formula for triple integrals. Changes of variables. Integrals' applications: mass, center of gravity, moment of inertia.
Regular curves. Length of a curve arc. Abscissa on a curve. Line integral of a scalar function and applications. Line integral of a vector field. Conservative fields. Necessary and sufficient conditions for conservativity. Green's theorem in the plane.
Regular surfaces. Area of ​​a regular surface. Surface integral of a scalar function and applications. Surface integrale of a vector field. Rotor of a vector field. Stokes' theorem. Divergence of a vector field. Green's theorem in the space.

B. Palumbo: Integrali di funzioni di più variabili (II edition). Accademica, Roma, 2009.
Notes by the teacher (distributed on web).

Il Decreto Legislativo del Governo 81/2008 (Tit. I) e il BS OHSAS 18001:07, come legislazione di base in materia di sicurezza e salute sul lavoro. Il DVR (Documento valutazione dei rischi, art. 28) e l'art. 30, come strumenti della progettazione del Sistema di Gestione Aziendale in materia di Salute e Sicurezza (SGSS). Il SGSS e la conformità legislativa (D. Lgs. Gov. 81.08), il miglioramento continuo e il principio “PDCA” della ruota di Deming. Formazione, consapevolezza e competenza. La consultazione e la comunicazione. Controllo operativo. Preparazione alle emergenze e risposta. Performance di Sistema, misurazione, monitoraggio, audit e miglioramento.
Le normative europee e la loro valenza; le norme di buona tecnica; le Direttive di prodotto. Il BS OHSAS 18001:07 e l’implementazione del SGSS quale strumento efficace per ridurre i rischi associati alla salute e sicurezza nell'ambiente di lavoro per dipendenti, clienti, parti interessate. Dati e studi di casi. Applicazioni.
La legislazione specifica in materia di salute e sicurezza nei cantieri e nei lavori in quota, le figure interessate, gli Organi Competenti e la disciplina sanzionatoria (Tit. IV D. Lgs. 81/08). La Legge quadro in materia di lavori pubblici.
Tecniche di valutazione del rischio. Approfondimenti su Check List Analysis, JSA, FAST (Metodo degli spazi funzionali), tecniche HAZOP, FMEA, FTA. Applicazioni e casi di studio.
Esercitazioni sulla applicazione dei Requisiti della Norma BS OHSAS a casi specifici connessi a cantieri mobili e temporanei. Metodi di Audit di sistema e valutazione della conformità. Il metodo della “Produttoria” come strumento di valutazione della conformità.
Casi di studio, sentenze in materia di applicazione della Legislazione di Sicurezza.
Letteratura e interpretazione delle cause incidentali per eventi storici.
Sicurezza e organizzazione dei cantieri (anche relativamente agli obblighi documentali); trattazione specifica dei rischi per la salute e per la sicurezza in cantiere (malattie professionali, scavi, demolizioni, opere in sotterraneo e in galleria, rumore, vibrazioni, bonifiche ambientali, amianto, movimentazione manuale di carichi (MMdC), incendio, etc.); misure di prevenzione e protezione, procedure organizzative, tecniche di prevenzione del rischio in fase di montaggio, smontaggio e posa in opera di strutture, mezzi ed elementi costruttivi; il rischio caduta dall’alto, i ponteggi e le opere provvisionali.
Approfondimenti sulla malattie professionali connesse ai lavori svolti in cantieri mobili e temporanei;
Agenti materiali da infortunio, metodi di valutazione delle esposizioni. Applicazioni pratiche. Le tecniche NIOSH e OCRA per la valutazione dei rischi da MMdC e sovraccarico biomeccanico degli arti superiori.
Valutazione del rischio rumore e vibrazioni: esercitazioni ed applicazioni; il rischio amianto, le tecniche di bonifica/demolizione/trattamento in sicurezza dei MCA.
Ponteggi ed opere provvisionali, tecniche di costruzione e gestione in sicurezza. Casi di studio.
Il piano di sicurezza e coordinamento (contenuti, criteri e metodi, esempi e progetto); il piano sostitutivo di sicurezza; tecniche di comunicazione e cooperazione; il Piano operativo di sicurezza e il Fascicolo dell’opera; metodi di elaborazione del Pi.M.U.S. (Piano di Montaggio, Uso, Smontaggio dei ponteggi); criteri metodologici per elaborazione e gestione della documentazione; stima dei costi della sicurezza in cantiere.
Esempi di PSC, l’analisi dei rischi di area, l’analisi e la valutazione delle interferenze, l’importanza della pianificazione e della organizzazione; esercitazioni e applicazioni.
Stesura dei Piani operativi di sicurezza (POS): significato pratico e differenze con i DVR ex art. 28, la valutazione dei rischi da interferenza e differenze con il DUVRI (art. 26 D. Lgs. 81/08); esercitazioni e casi di studio.
Esempi di Piani Sostitutivi di Sicurezza (PSS); esempi di Fascicoli e applicazioni pratiche basate sulla redazione di specifici PSC; sentenze e sanzioni in materia di sicurezza dei cantieri; simulazioni di ruolo (Coordinatore).

Dispense e testi distribuiti in aula dal docente

0. SPECTRAL ANALYSIS OF REAL MATRICES; FUNDAMENTAL THEOREMS OF LINEAR ALGEBRA; EIGENVALUE PROBLEMS IN ENGINEERING MECHANICS; VECTOR ALGEBRA; second order ODE.
1. MECHANICS OF A MATERIAL PARTICLE; KINEMATICS; DYNAMICS OF FREE AND CONSTRAINED PARTICLE; WORK AND ENERGY; EQUILIBRIUM AND STABILITY.
2. MECHANICS OF SYSTEMS OF PARTICLES; CONSERVATION OF MOMENTUM, ANGULAR MOMENTUM AND ENERGY.
3. KINEMATICS OF RIGID BODIES
4. GALILEIAN RELATIVITY.
5. RIGID BODY MECHANICS; KINEMATICS OF RIGID-BODY MOTIONS; CONSERVATION OF MOMENTUM, ANGULAR MOMENTUM AND ENERGY; KOENIG'S THEOREM; HUYGHENS' THEOREM; INERTIA TENSOR; CENTRAL AXES AND EULER'S EQUATION.
6. FUNDAMENTALS OF LAGRANGEAN MECHANICS.

1. LECTURE NOTES
2. PROBLEM SETS (WITH SOLUTIONS)
4. SPIEGEL, MECCANICA RAZIONALE, MCGRAW-HILL.

Review of electromagnetism fundamentals, basic principles and theorems for the analysis of electric and magnetic circuits. Representation of sinusoidal electric quantities, definition of circuit impedance and analysis of single-phase and three-phase circuits; instantaneous power, active power and power factor in single-phase and three-phase circuits.
Instruments and methods for measuring current, voltage, active power, power factor and energy in single-phase and three-phase circuits.
Basic principle and operating characteristics of power transformers.
Theory of the rotating magnetic field; basic structure and operating characteristics of induction and synchronous machines.
Components and systems being used in power plants devoted to either generation or transportation or distribution of the electric energy; protection against either overvoltages or overcurrents; sizing of low-voltage secondary-network systems; power-factor correction; protective grounding and safety-related aspects in power distribution systems.

 G. Chitarin, F. Gnesotto, M. Guarnieri, A. Maschio, A. Stella - Elettrotecnica, 1 - Principi - Società Editrice Esculapio
 G. Chitarin, F. Gnesotto, M. Guarnieri, A. Maschio, A. Stella - Elettrotecnica, 2 - Applicazioni - Società Editrice Esculapio
 Additional Documents and Numerical Exercises - http://moodle1.ing.uniroma3.it

The variety of the mechanisms in applications. Basic definitions. Degrees of freedom. Classification of the kinematic pairs. Kinematic chains and mechanisms. Kinematic analysis. Plane motion of a rigid body. Velocity and acceleration fields. Kinematic analysis of planar mechanisms. Characteristics of infinitesimal plane motion. Inflection and stationary circles. Euler Savary formula. Planar polodes theory. Pairs with unilateral contacts. Construction of conjugate profiles. Oldham and universal (Cardan) joints. Expression of the transmission ratio. Double cardan joint. Parallel and anti-parallel four bar linkages. Drafting table and pantograph mechanisms. Hart and Peaucellier exact straight lines mechanism generators. Disaggregation principle in statics. Free body static force and torque analysis of complex systems. Applications of the theorem of the virtual works. Basic topics in Tribology. Surface analysis and characterization. Hertz formulae. Friction. An elementary model of adhesive friction. Friction basic mechanisms. Adhesion, abrasion, fretting, surface fatigue. Experimental classification of the worn surfaces: scuffing, scoring, spalling, case crushing, pitting, galling. Predictive models of wear and friction. Energy dissipated “Reye” method, Archard equation. Ball bearings: static force and fatigue modeling, Striebeck formula. Introduction to lubrication. Viscosity and viscosity index. Petroff’s law. One-dimensional Reye theory of hydro-dynamic lubrication. Lubrication of the Rayleigh step bearing. Film with linearly decreasing thickness. Kingsbury – Mitchell bearings. Hydro-static lubrication in the thrust bearing. Hydrostatic compensation. Journal bearings with hydrodynamic lubrication. Work, power and energy. Principles of energy conservation. Power flow analysis in the mechines. Efficiency. Dynamics of the material point. Dynamic of the rigid body. Newton Euler formulation of the dynamic problems. Dynamic analysis by means of the generalized principle of the virtual works. Traction coefficient in transmission. Gearings. The geometrical characteristics of gears with involute profiles. The mechanical interference in gearings. Advanced methods in kinematics: analytical and numerical methods. Dynamic analysis of multibody systems by means of the coordinate partitioning method and the elimination of the Lagrange’s multipliers. Vibration of systems with one degree of freedom. Free oscillation, damped oscillations and excited vibrations. Rayleigh method for the case of the free undamped oscillator. The function of the flywheel in machines. Flexural and torsional vibration in transmission shafts. Vibrations of system with n degrees of freedom. Dynamic problems and wear in breaks. Cams. Construction of cams with prescribed law of motion. Dynamic problems in cams. Constant acceleration cam. Exercises. Kinematic analysis of the slider crank and four bar linkages. Polodes of the coupler motions. Static balance in different mechanisms. Lubrication. Kingsbury – Michell hydrodynamic bearings. Geometry of involute gearings. Evaluation of the efficiency of simple mechanisms. Analytical and numerical methods in the kinematic analysis of simple mechanisms. Inverse and direct dynamic problems in simple mechanisms. The application of the methods of Lagrange’s multipliers to the solution of direct dynamic analysis of Multibody systems.

Belfiore, N.P., Di Benedetto, A., Pennestrì, E., Fondamenti di meccanica applicata alle macchine, SECONDA
EDIZIONE, CEA Casa Editrice Ambrosiana, Milano, 2011.

Di Benedetto, A., Belfiore, N.P., Fondamenti di Teoria delle vibrazioni meccaniche, CEA Casa Editrice
Ambrosiana, Milano, 2007.

Kinematics of rigid bodies. The rigid body model. Rigid displacements. General formula of infinitesimal rigid displacement. Scalar representation of the rigid displacement field. Planar rigid displacements. Systems of rigid bodies.

Kinematic characterization of a constraint. External constraints and internal constraints.
The cinematic problem. Kinematic classification.

Statics of rigid bodies. External forces. Force, moment of a force, systems of forces, force density, distributed loads.
Static characterization of constraints. The static problem. Cardinal equations of statics. Static classification. Statical-kinematical duality.

Beam kinematics. Displacement, rotation, hypothesis of small displacements. Kinematic conditions.

Deformation measurements in the Timoshenko model. Axial deformation. Angular scroll. Bowing. Equations of congruence. Model of Euler-Bernoulli. Vector representation of congruence equations. The kinematic problem for the beam. Statics of the beam. External actions and internal actions. Partwise balance. Differential equilibrium equations in scalar and vector format. The static problem. Internal action diagrams.

Constitutive equations. Phenomenology of the response of a material. The uniaxial test. Elastic behavior. Plastic behavior and rupture. Ductile and fragile materials.

Constitutive equations for the elastic beam. Axial behavior, flexural behavior, shear behavior. Uniform thermal variation, affine thermal variation.

The elastic problem for the beam and its formulation.

Displacement method. Equation of the tension beam. Inflexion of a beam in the Euler-Bernoulli model. Extension to the Timoshenko model. Connection conditions and problem formulation for beam systems. Kinematic and static performance of internal constraints.

Principle of virtual work. The concept of congruent system. Notion of a balanced system. External virtual work. Internal virtual work. Theorem of virtual works, statement and proof. Application of the Virtual Works Principle to the calculation of displacements and rotations in statically-determined structures.

Force method. Released structure. Application of the method to the general case. Müller-Breslau equations. Flexibility matrix. Effect of constraint displacement and thermal distortions.

Reticular trusses. Internal isostaticity of the triangular mesh. Canonical nodes. Node method. Canonical sections. Ritter method.

Continuous beams. The three-moment equation.

Three-dimensional continuous bodies: analysis of the deformation. The strain tensor. Geometrical interpretation of the components of the strain tensor.
State of triaxial deformation. State of cylindrical deformation. Spherical or hydrostatic deformation state. Mohr's circles.

Three-dimensional continuous bodies. Cauchy's concept of traction. Partwise balance. Cauchy's Lemma. The stress tensor. Differential equations of equilibrium.

Principal stresses and principal directions. Voltage states. Lamé's ellipsoid of tension. Isostatic lines. State of plane or biaxial tension. Purely tangential tension state. Uniaxial voltage state. Mohr's circles for the stress.

Linearly elastic constitutive equations. Experimental determination of elastic constants. Traction test. Torsion test. Isotropic materials: the generalized Hooke law.

The problem of elastic balance. The Virtual Works Theorem. Partial solutions to the problem of elastic equilibrium. Deformation work. Clapeyron's theorem. Betti's theorem. Theorem of the minimum total potential energy. Theorem of the minimum total complementary potential energy

The problem of Saint Venant. Postulate of Saint Venant. The semi-inverse method.

Normal force. Flexure.

Torsion of compact and hollow circular sections.

Torsion of compact sections of arbitrary shape. The Neumann problem. Elliptical sections. Polygonal sections. The hydrodynamical analogy. Thin rectangular section. Open sections composed of thin rectangles. Thin-walled sections: Bredt's theory.

Bending and shearing. Distribution of normal tractions. Distribution of tangential tractions: Jourawsky formula and its applicability.
Thin sections open. Thin rectangular section. Thin double T section. U and H shaped sections. Thin sections closed. Symmetrical closed section. Symmetrical compact sections. Determination of the shear center.

Rupture criteria for fragile materials and ductile materials.

The phenomenon of structural instability. Stability analysis in rigid beams with elastic restraints. Stable branches. Unstable branches. Sensitivity to initial imperfections. Euler's Elastica. Dependence of the critical load on the constraint conditions. Inflection plans. Curves of stability, slenderness.

The beam: structural analysis and verification. Extension of the Saint Venant theory. Resistance criteria for the Saint Venant solid.

Paolo Podio-Guidugli, "Lezioni di Scienza delle Costruzioni", Aracne Editrice.
P. Casini & M. Vasta, "Scienza delle costruzioni", Città Studi Edizioni 2016.
I. Bergamasco, D. Capecchi, M. De Angelis, V. Sepe, "Cinematica Piana dei Corpi Rigidi", ed. CISU, 2010.
D. Capecchi, M. De Angelis, L. Sorrentino, "Statica Piana dei Corpi Rigidi", ed. CISU, 2010.
Steen Krenk & Jan Høgsberg, "Statics and Mechanics of Structures", Springer 2013.

Il Decreto Legislativo del Governo 81/2008 (Tit. I) e il BS OHSAS 18001:07, come legislazione di base in materia di sicurezza e salute sul lavoro. Il DVR (Documento valutazione dei rischi, art. 28) e l'art. 30, come strumenti della progettazione del Sistema di Gestione Aziendale in materia di Salute e Sicurezza (SGSS). Il SGSS e la conformità legislativa (D. Lgs. Gov. 81.08), il miglioramento continuo e il principio “PDCA” della ruota di Deming. Formazione, consapevolezza e competenza. La consultazione e la comunicazione. Controllo operativo. Preparazione alle emergenze e risposta. Performance di Sistema, misurazione, monitoraggio, audit e miglioramento.
Le normative europee e la loro valenza; le norme di buona tecnica; le Direttive di prodotto. Il BS OHSAS 18001:07 e l’implementazione del SGSS quale strumento efficace per ridurre i rischi associati alla salute e sicurezza nell'ambiente di lavoro per dipendenti, clienti, parti interessate. Dati e studi di casi. Applicazioni.
La legislazione specifica in materia di salute e sicurezza nei cantieri e nei lavori in quota, le figure interessate, gli Organi Competenti e la disciplina sanzionatoria (Tit. IV D. Lgs. 81/08). La Legge quadro in materia di lavori pubblici.
Tecniche di valutazione del rischio. Approfondimenti su Check List Analysis, JSA, FAST (Metodo degli spazi funzionali), tecniche HAZOP, FMEA, FTA. Applicazioni e casi di studio.
Esercitazioni sulla applicazione dei Requisiti della Norma BS OHSAS a casi specifici connessi a cantieri mobili e temporanei. Metodi di Audit di sistema e valutazione della conformità. Il metodo della “Produttoria” come strumento di valutazione della conformità.
Casi di studio, sentenze in materia di applicazione della Legislazione di Sicurezza.
Letteratura e interpretazione delle cause incidentali per eventi storici.
Sicurezza e organizzazione dei cantieri (anche relativamente agli obblighi documentali); trattazione specifica dei rischi per la salute e per la sicurezza in cantiere (malattie professionali, scavi, demolizioni, opere in sotterraneo e in galleria, rumore, vibrazioni, bonifiche ambientali, amianto, movimentazione manuale di carichi (MMdC), incendio, etc.); misure di prevenzione e protezione, procedure organizzative, tecniche di prevenzione del rischio in fase di montaggio, smontaggio e posa in opera di strutture, mezzi ed elementi costruttivi; il rischio caduta dall’alto, i ponteggi e le opere provvisionali.
Approfondimenti sulla malattie professionali connesse ai lavori svolti in cantieri mobili e temporanei;
Agenti materiali da infortunio, metodi di valutazione delle esposizioni. Applicazioni pratiche. Le tecniche NIOSH e OCRA per la valutazione dei rischi da MMdC e sovraccarico biomeccanico degli arti superiori.
Valutazione del rischio rumore e vibrazioni: esercitazioni ed applicazioni; il rischio amianto, le tecniche di bonifica/demolizione/trattamento in sicurezza dei MCA.
Ponteggi ed opere provvisionali, tecniche di costruzione e gestione in sicurezza. Casi di studio.
Il piano di sicurezza e coordinamento (contenuti, criteri e metodi, esempi e progetto); il piano sostitutivo di sicurezza; tecniche di comunicazione e cooperazione; il Piano operativo di sicurezza e il Fascicolo dell’opera; metodi di elaborazione del Pi.M.U.S. (Piano di Montaggio, Uso, Smontaggio dei ponteggi); criteri metodologici per elaborazione e gestione della documentazione; stima dei costi della sicurezza in cantiere.
Esempi di PSC, l’analisi dei rischi di area, l’analisi e la valutazione delle interferenze, l’importanza della pianificazione e della organizzazione; esercitazioni e applicazioni.
Stesura dei Piani operativi di sicurezza (POS): significato pratico e differenze con i DVR ex art. 28, la valutazione dei rischi da interferenza e differenze con il DUVRI (art. 26 D. Lgs. 81/08); esercitazioni e casi di studio.
Esempi di Piani Sostitutivi di Sicurezza (PSS); esempi di Fascicoli e applicazioni pratiche basate sulla redazione di specifici PSC; sentenze e sanzioni in materia di sicurezza dei cantieri; simulazioni di ruolo (Coordinatore).

Dispense e testi distribuiti in aula dal docente

Introduction: Automatic control, feed forward and feedback.

Models of Dynamical Systems: For linear electrical and mechanical systems, block schemes.

Analysis of Linear and Stationary Systems: derivation of system equations, standard models; time domain specifications, transfer function, Laplace transform, poles and zeros.

Basic Properties of Feedback: gains, static properties (e.g., reducing system steady state error to disturbances), dynamic properties (e.g., enhance system dynamics, stabilize an unstable system, make unstable a stable system), reducing system transfer function sensitivity to parameter variations, speeding up transient response.

Frequency Response Design Method: Fourier Transform, Nyquist Stability Criterion, Stability margins, Bode’s Gain-Phase relationship, lead-lag compensation, specifications in terms of the sensitivity function, obtaining a Pole-Zero Model from Frequency-Response data.

Digital Control: Dynamic analysis of discrete systems, design using discrete equivalents, sample rate selection.

S. K. Bhattacharya, Control Systems Engineering, Pearson, 2008. [Kindle Edition]

Franklin, Powell, and Enami-Naeini, Feedback Control of Dynamical Systems, 5th Edition, Addison-Wesley, 2006. ISBN: 978-0136019695;

Introduction - Economic science and the market
Part One - Microeconomics
Second part - Introduction to the enterprise system
Part Three - Investment Analysis and Project Financing

EXTENDED COURSE PROGRAM

Introduction - Economic science and market

- The economic problem
- Microeconomics and Macroeconomics
- Analysis of economic issues

MARKET FORMS
The degree of competition
Perfect competition
Monopoly
Monopoly competition
Oligopoly

MARKET APPLICATION APPLICATION
Economic systems
The question
The offer
Determining the price
The market economy

Part One - Microeconomics

MODEL QUOTATION-OFFER AND CONSUMER THEORY
- The market
- Market demand and supply
- The elasticity of supply and demand
- The market equilibrium
- Consumer preferences
- The utility function

PRODUCTION COSTS REVENUES PROFIT
Short-term costs
Long-term costs
Revenues
Maximizing profit

Second part - Introduction to the Enterprise System

ENTERPRISE

- The company as an economic institution
- General characters: the object of the company and the subjects of the company ("legal entity" and "economic entity")
- Types of business
- The company in its most general economic features
- For business purposes, economic equilibrium as a fundamental condition of business life, economic equilibrium and cost-effectiveness
- Business organization
- Business strategy

EXTERNAL SEMINARS ON CORPORATE ORGANIZATION

Part Three - Investment Analysis and Project Financing

INVESTMENTS ANALYSIS
- Capital and interest
- The principles of economic and financial equivalence
- Mortgages and loans
- Inflation
- Profitability and profitability in investment choices: VAN, TIR, pay-back period
- Public sector investment: cost-benefit analysis and cost-effectiveness analysis

PROJECT FINANCING
- Profitability in Project Finance
- Types of works and economic and financial sustainability
- Project analysis: roadworthiness tests, economic and financial analysis and indicators
- Legal references

Campisi Domenico, Costa Roberta, Mancuso Paolo, Morea Donato (2014), “Principi di Economia Applicata all’Ingegneria - Metodi, complementi ed esercizi”, Hoepli, Milano


Campisi Domenico, Costa Roberta (2008), "Economia Applicata
all'Ingegneria - Analisi degli investimenti e Project Financing",
Carocci Editore.

Jacobone, F., Morea, D., "Project Financing: elementi di base, profili
professionali e modelli innovativi", Maggioli Editore

Machines and Heat exchangers: Classifications;
• State functions and process-dependent entities. Equations of state;
• Fundamental laws of thermodynamics: conservation, equivalence and evolution of a thermodynamic system;
• Energy conservation;
• Irreversible processes;
• Thermodynamic processes and diagrams. Relevant thermodynamic processes (e.g. isentropic, polytropic, isothermal, isobaric, isochoric processes)
• Compression and expansion processes: adiabatic processes, intercooled compression, re-heated expansion)
• Thermodynamic laws applied to the analysis of energy conversion systems: relevant case studies
• Combustion processes
- Combustion: generalities;
- Combustion at constant volume;
- Combustion at constant pressure for open and closed systems.
• Thermodynamic cycles and periodical processes
- Ideal, limit and real cycles;
- Direct and inverse cycles;
- Performance of thermodynamic cycles: power, efficiency, COP and other relevant indexes
- Relevant cycles: Brayton/Joule, Rankine, Hirn, Stirling, Ericsson, Beau de Rochas, Diesel, Sabathé)
- Combined cycles
- Periodical processes and related diagrams

• Introduction to applied fluid-dynamics:
- Control volume analysis;
- 1D, 2D and 3D analyses;
• Conservation of mass, momentum and energy. The entropy.
• The effect of fluid viscosity and compressibility:
• Definition of Mach Number and equations for gasses in terms of Mach Number;
• Subsonic, transonic and supersonic flows;
• Fanno Flow;
• Rayleigh Flow;
• Varying-area isentropic flows: Hugoniot equations for nozzles and diffusers;
• Converging-diverging nozzles;
• Nozzles, diffusers and converging-diverging nozzles in real conditions.
• Evaluation of thrust, work, power and efficiency in simple cases.
• Cavitation in hydraulic machines: generalities, Net Positive Suction Head (NPSH),
• Relevant applications for energy conversion and propulsion systems
• Cavitation: generalities, Net Positive Suction Head available and required
• Relevant cases in hydraulic plants

• L. Borel, D. Favrat, "Thermodynamics and Energy Systems Analysis", EPFL Press, 2010, ISBN 978-2-940222-45-2
• R. D. Zucker, O. Biblarz, “Fundamentals of Gas Dynamics”, Ed. Jhon Wiley & Sons, 2002, ISBN 0-471-05967-6