Fields. Real and complex numbers. Limits. Infinite Series. Continuity and differentiability. Integrals. Taylor's Polynomial.

1) Bramanti, Pagani, Salsa: Analisi Matematica I.
2) Bertsh, Dall'aglio, Giacomelli: Epsilon 1.
3) Amar Bersani: Analisi Matematica I (esercizi e richiami di teoria).
4 ) Salsa Squellati: Esercizi di analisi Matematica I.

* Basic concepts *

Problems, algorithms, and programs
Computer architecture
Languages and Compilation
Style and conventions
I / O, variables and constants

* Operations *

Information representation
Binary arithmetic
Types of data
Expressions
Boolean algebra

* Control structures *

Selection
Iteration
Functions

* Data structures *

Array
Strings
Matrices
Sets
Lists
Tuples
Datasets


* Advanced concepts *

Integrated development environments
Errors
Libraries
File

*Data analytics*

Data analytics techniques
Basic machine learning techniques

A. Bellini, A. Guidi, "Linguaggio C. Una guida alla programmazione con elementi di Python", VI Edizione, McGraw-Hill.

* Basic concepts *

Problems, algorithms, and programs
Computer architecture
Languages and Compilation
Style and conventions
I / O, variables and constants

* Operations *

Information representation
Binary arithmetic
Types of data
Expressions
Boolean algebra

* Control structures *

Selection
Iteration
Functions

* Data structures *

Array
Strings
Matrices
Sets
Lists
Tuples
Datasets


* Advanced concepts *

Integrated development environments
Errors
Libraries
File
*Data analytics*

Data analytics techniques
Basic machine learning techniques

A. Bellini, A. Guidi, "Linguaggio C. Una guida alla programmazione con elementi di Python", VI Edizione, McGraw-Hill.

1- Linear Systems: coefficients matrix, sum and scalar multiples of matrices; reduced form and echelon reduced form; Gauss-Jordan Algorithm.
2- Matrix product; invertible matrices; rank of a matrix; Rouche'-Capelli Theorem.
3- Vectors and Vector spaces. Subspaces; linear indipendence and generators.
4- Basis of a vector space; dimension; Grassmann Formula.
5- Linear maps; kernel and image of a linear map. Rank-nullity Theorem. Matrix associated to a linear map.
6- Eigenvalues and Eigenvectors. Diagonalization of linear maps.

F. Flamini, A. Verra: Matrici e vettori. Corso di base di geometria e algebra lineare. Carocci.

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, Pearson ED. or any general chemistry text, as long as it is of university level.

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

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
- 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

Collisions

- Collisions between two material points

- Elastic, inelastic and totally inelastic collisions

- Collisions between material points and rigid bodies

Gravitation
- Central forces
- Gravity
- Gravitational and inertial mass
- Gravitational potential energy

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

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

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/)

Circuit elements and electrical components: bipoles. Knots, branches and links. Kirchhoff's laws. Series and parallel connections, nodes and links. Generator and user conventions. Passivity, Linearity, time-invariance, memory. Electric power. Constitutive laws of passive bipoles: resistor, inductor, capacitor, ideal voltage and current generators, mutual inductances, ideal transformer. Analysis of resistive networks: general node and mesh methods, Equivalent networks. Systematic methods. Substitution theorem. Superposition theorem. Thevenin-Norton theorem. First and second order RLC networks. Transient and permanent response. Equations of state. Analysis in permanent regimes. Sinusoidal regime. Phasor method. Concept of impedance and admittance in the frequency domain. Active, reactive and complex power. Symmetrical and balanced three-phase systems. Power in three-phase systems. Power factor correction.

Repetto M. | Leva S.
Elettrotecnica
2022 | Città Studi Edizioni
Isbn edizione digitale: 9788825175400
Isbn edizione a stampa: 9788825174489

Laudani, Riganti
Quaderno di appunti di elettrotecnica. Esercizi sui circuiti elettrici
Pigreco Edizioni

Dispense del docente

Electric field in vacuum
- Coulomb's law and electric charge.
- The conservative nature of electric fields. Electrostatic potential.
- Gradient and curl
- The electrostatic dipole.
- Flux of a vector field. Gauss theorem. Divergence of a vector field.
- Poisson’s and Laplace’s equations.

Electric field and matter
- Conductors. Coulomb's theorem. Faraday cage.
- Capacitors. Energy density of the electrostatic field. Series and parallel connection.
- Electrostatics of dielectrics. Polarization charges. Permittivity.

Direct electric current
- Electric conduction. Current density.
- Continuity equation. Stationary electric currents. Solenoidal fields.
- Drift and thermal velocity in a conductor. Electric resistance and Ohm's law.
- Electromotive force and electric generators.
- Electrical circuits in dc. Kirchhoff's laws.

Magnetic field in vacuum
- Properties of the magnetostatic field. Lorentz force. Biot-Savart law. Ampère's law.
- Force on conductors in magnetic fields. Magnetic dipole.
- Motion of charges in electric and magnetic fields.
- Maxwell's equations in the stationary case.

Magnetic field and matter
- Magnetic properties of matter. Fundamental equations of magnetostatics.

Electromagnetic induction
- Faraday's experiments. Law of electromagnetic induction.
- Applications of Faraday's law.
- Self and mutual induction. Magnetic energy.
- Alternating voltages and currents.
- Capacitors and inductances in alternating current circuits. RLC circuits. Resonance.
- Ampere-Maxwell equation.
- Laws of the electromagnetic field.

Propagation of the electromagnetic field
- Maxwell's equations in free space: propagating electromagnetic fields.
- Plane waves. Spherical waves. The energy conservation law.
- Poynting vector. Joule effect and Poynting vector. Momentum of the electromagnetic field. Radiation pressure.
- Reflection. Refraction. Geometrical optics and optical instruments (brief notes)
- Interference. Diffraction.

Radiation and matter
- Black-body radiation.
- Photoelectric effect.
- Early models of the atom. Spectral lines.
- Wave-particle duality (brief notes).

P. Mazzoldi, M. Nigro, C. Voci, "Fisica Vol. II: Elettromagnetismo e Onde", terza edizione, Edises, Napoli

(*) Notes on selected arguments are also available on the course website

Generality on communication systems. Message and signal definition. Signal representations. The signals as elements of a vectorial space. Generalized Fourier Representation. Cross and auto-correlation function: definition and properties. Linear transformations. Linear and time-invariant systems. I/O relations: convolution integral and its properties. Fourier series expansion. Fourier Transform. Parseval and Wiener theorems. Energy and power spectral density. Limited bandwidth signals. Sampling theorem. Sub-sampling effects. Hilbert transform. Analytical signal, complex envelope and low-frequency components of a band-pass signal. Bandwidth limited signals linear transformations and their samples relations.Analogic signals amplitude modulation.

Axiomatic theory of probability. The axioms of probability. Bayes' theorem. Random variables. Distribution and probability density function. Mean, variance, moments, covariance matrix. Characteristic function. Functions of one random variable. Multiple random variables: joint distributions. Conditional distributions. Central limit theorem. Gaussian random variables: univariate and multivariate. Bernoulli random variable. Poisson random variable. Laws of large numbers. Stochastic processes: general concepts. Stationary processes. Ergodic processes and related theorems. Parametric stochastic processes. Linear and non-linear transformation of stochastic ergodic processes. Continuous-time random processes; gaussian process, P.A.M. random process, armonic process.

Roberto Cusani- Teoria dei Segnali - Edizioni Efesto
Probability, Random Variables, and Stochastic Processes, Athanasios Papoulis, S. Unnikrishna Pillai, McGraw-Hill 2002

Remind of vectorial analysis. Vectors. Scalar and vectorial fields. Differential operators. Orthogonal curvilinear systems of coordinates. Dirac function. Non-rotational and solenoidal fields. Hints of dyadic analysis.

Fundamental equations of the electromagnetic field. Maxwell’s equations. Constitutive relations. Boundary conditions. Classification of electromagnetic problems. Poynting and uniqueness Theorems.

Equations of the electromagnetic field in the frequency domain. Reminds on representation of sinusoidal time dependence and Fourier Transform methods. Complex vectors. Constitutive relations and boundary conditions in the frequency domain. Non-polar dispersive dielectric. Pointing’s and uniqueness theorems in the frequency domain.

Plane waves. Helmholtz equation. Electrodynamic potential functions. Wavefunction. Plane waves in free space and their propagation. Polarization. Uniform plane waves in a non-dispersive medium (with and without dissipation). Secondary constants. Plane-wave spectrum. Group velocity.

Reflection and refraction of plane waves. Normal incidence. Oblique incidence.

Transmission lines. Telegraphist’s equations and their solution. Impedance, admittance and reflection coefficients. Standing wave ratio. Reflection of plane waves studied by means of transmission lines.
Waveguides. Cylindrical symmetry. TM, TE, and TEM transmission lines. Metallic waveguides. Eingenvalue problems. Mode propagation. Rectangular waveguide.
Electromagnetic field radiated by an assigned distribution of currents. Deterministic problem. Green’s functions. Free space Green’s function. General and approximate solutions. Hertz dipole. Basic notions on antennas.

In class exercises are integral part of the Course.

G. Gerosa, P. Lampariello, "Lezioni di Campi elettromagnetici", Edizioni Ingegneria 2000, seconda edizione, 2006.
Slides from lessons, available on Roma Tre telematic platform.

Course syllabus (short)
Introduction to electronics. Principle of operation and models of: the pn junction, the bipolar junction transistor (BJT) and the metal-oxide-semiconductor field effect transistor (MOSFET). Biasing the BJT and the MOSFET. Single and multiple stage amplifiers. Differential amplifier. Current sources. Active loads. Frequency response of electronic amplifiers. Logic gates and amplifiers in NMOS and CMOS technology. Feedback theory and feedback amplifiers. Other applications of most common analog device circuits.

Course syllabus (detailed)

Introduction: a bit of history, classification of electronic signals, conventions, problem-solving approach, basic concepts from circuit theory, electronic amplifiers, logic inverters, element variation in circuit design, numeric precision.

Solid state electronics: semiconductors and electronic devices, resistivity of insulators, conductors and semiconductors, covalent bonds and band diagrams, forbidden band, intrinsic concentration, electrons and holes in semiconductors, donors and acceptors, controlling carrier concentration with doping, drift and diffusion current, mobility and saturation velocity, temperature and doping dependence of mobility.

Diodes and diode circuits: structure and layout, electrostatics of the pn junction, regions of operation (forward, reverse, breakdown), large and small signal models, analysis and design of diode circuits, applications (rectifiers, power supplies, regulators, DC-DC converters).

Field effect transistor (MOSFET): structure and principle of operation, regions of operation (triode, saturation, cut-off), analytical model and i-v characteristics, DC MOSFET circuits, bias of MOSFET, the MOSFET as an amplifier and as a logic inverter, small signal equivalent circuits, single stage MOS amplifiers, MOSFET capacitances and frequency response, NMOS and CMOS logic inverters.

Bipolar junction ransistor (BJT): structure and principle of operation, regions of operation (active, inverse, saturation, cut-off), analytical model and i-v characteristics, DC BJT circuits, bias of BJT, the BJT as an amplifier and as a logic inverter, small signal equivalent circuits, single stage BJT amplifiers, BJT capacitances and frequency response, discrete voltage regulators.

Integrated amplifiers: design concept of integrated circuits, MOSFET/BJT comparison, biasing integrated circuits, frequency response, CS and CE amplifiers, CG and CB amplifiers, the Cascode amplifier, CD and CC amplifiers.

Differential amplifier: MOSFET differential pair, large and small signal operation, BJT differential pair, large and small signal operation, ideal/real differential amplifiers, active loaded differential amplifiers, frequency response.

Logic gates: Introduction, logic families. Evolution of digital inverters. CMOS inverter.

Feedback: basic concepts of feedback theory, classification of feedback circuits, properties, examples, stability and compensation.

Sinusoidal oscilators: introduction to oscillators, the Barkhausen criteria, LC tuned oscillators (Colpitts and Hartley), crystal oscillators, design examples.

A.S. Sedra, K.C. Smith "Circuiti per la microelettronica" EDISES 5th edition
or
A.S. Sedra, K.C. Smith "Circuiti per la microelettronica" EDISES 4rd edition
or
A.S. Sedra, K.C. Smith "Microelectronic Circuits (5th edition or later)

+ additional contents on Moodle e-learning platform

• Introduction to metrology: basic definitions;
• Systems of measurement units (international system of measurement units, CGS systems, Gaussian system): definitions, writing rules and conversion methods;
• Elements of inferential statistics: histograms, position parameters, dispersion parameters, shape parameters, empirical law of frequency, law of large numbers, central limit theorem;
• Evaluation of uncertainty in direct measurements: basic definitions, type A and type B uncertainty, sample mean and variance and their distributions, notable distributions (Gaussian, uniform, t-student), expanded uncertainty;
• Statistical tests: chi-square test, mean test;
• Evaluation of uncertainty in indirect measurements: uncertainty propagation rule in indirect measurements (JCM 100:2008), deterministic model of uncertainty and propagation rule in indirect measurements (maximum error).
• Graphing and mathematical methods: graphing, bi/semi-logarithmic graphs, fit procedures, least squares method.
• Real passive components: resistors, capacitors, inductors;
• Analog measuring instruments: static/dynamic metrological characteristics, D'Arsonval ammeter, electrostatic voltmeter, electrodynamic instrument, analog wattmeter, dc insertion errors of voltmeters and ammeters.
• Electrical resistance measurement methods: voltamperometric method, 2/4-point measurements, DC measurement bridges – Wheatstone bridge, van der Pauw method for resistivity measurement.
• Digital measuring instruments: AD converters, digital voltmeters;
• The oscilloscope: analog oscilloscope, digital oscilloscope, sampling methods;
• Electrical noise (outline): sources and types of noise, noise reduction techniques.

International vocabulary of metrology – Basic and general concepts and associated terms (VIM – 3rd ed.)
Evaluation of measurement data — Guide to the expression of uncertainty in measurement
The International System of Units – 9th edition – brochure

The role of instrumentation and biomedical technologies
Elements of physiology, and biopotentials.
Elements of applied electronics.
Biopotential sampling: conditioning, sampling and quantization.
The electrocardiograph.
Elements of electrical safety and laboratory instrumentation.
Seminars and exercise lessons.

Strumentazione biomedica. Guido Avanzolini, Elisa Magosso - Patron Editore

Strumentazione biomedica, Cerone, Gazzone, Knaflitz- Levrotto&Bella Torino

Part I – Basic concepts of electromagnetic field theory. Maxwell's equations and boundary conditions. Complex notation and polarization. Fundamental theorems. Vector potentials. Free-space Green's function. Hertz dipole. Radiation. Electromagnetic uniform/non-uniform waves. Phase and group velocity.

Constitutive relations and material classification (bi-anisotropic, anisotropic, bi-isotropic, isotropic): linear/non-linear, homogeneous/non-homogeneous, stationary/non-stationary, local/non-local, dispersive/non-dispersive materials. Constitutive parameters in the frequency and wave-number domain. Causality and Kramers-Kronig relations.

Part II – Transmission lines. Introduction to transmission lines. Transmission line equations and solutions. Primary and secondary parameters of transmission lines. Reflection and transmission coefficients. VSWR. Matching stubs and matching strategies. Smith's chart and its applications.

Part III – Plane-wave propagation. Propagation of plane-waves in unbounded linear, homogeneous and stationary media. Dispersion equation. Eigenvalues and eigenvectors. Propagation of plane-waves in uniaxial materials. Propagation of plane-waves in bi-axial materials. Propagation of plane-waves in ferrites and chiral materials.

Part IV – Planar waveguides. Analysis and guided modes of a planar asymmetric dielectric slab. Analysis and guided modes of a planar symmetric dielectric slab. Analysis and guided modes of a grounded dielectric slab. Surface plasmon polaritons: analysis and dispersion equation. Transverse resonance method.

Part V – Metallic waveguides. Introduction to microwave engineering. The electromagnetic spectrum. Frequency bands and applications. Microwaves. Transverse-longitudinal field decomposition. TE, TM, TEM waves. Open and closed metallic and dielectric waveguides. Waveguide properties (phase velocity, group velocity, attenuation, characteristic impedance, etc.) Eigenvalues and eigenmodes. Rectangular waveguides. Circular waveguides. Coaxial waveguides. Microstrip line.

Notes by the teacher.

Other books of interest are listed below:
Sergei Tretyakov, "Analytical Modeling in Applied Electromagnetics", Artech House.
Landau and Lifshitz, "Electrodynamics of Continuous Media", 2nd Edition, Butterworth and Heinemann
Ari Sihvola, "Electromagnetic Mixing Formulas and Applications", IET

- Preliminaries on waves
- Polarization of light
- Propagation, interference, reflection of e.m. plane waves
- Propagation and diffraction of light fields
- Imaging systems and spectrometers
- Gaussian beams
- Optical resonators
- Remarks on Lasers
- Guided waves

- P. Mazzoldi, M. Nigro, C. Voci, “Elementi di Fisica, vol. 2”, II edizione, EdiSES (2008)
- F. Gori, "Elementi di Ottica", ed. Accademica (1995)
- Notes provided by the teacher

• introduction to the matlab environment (octave)
• computer representation of real numbers
• considerations on models and numerical errors
• calculation of the zeros of a function
• approximation of functions and data
• numerical derivation
• numerical integration
• numerical resolution of ordinary differential equations
• optimization algorithms and models
• introduction to systems
• linear and non-linear systems
• mathematical optimization models
• optimization algorithms
• multi-objective optimization
• linear optimization
• geometry of linear optimization
• non-linear optimization
• nonlinear optimization geometry
• local and global minimum
• main methods of non-linear optimization
• application to electrical and electronic circuits
• application to power flows

QUARTERONI ALFIO; SALERI FAUSTO - CALCOLO SCIENTIFICO. ESERCIZI E PROBLEMI RISOLTI CON MATLAB E OCTAVE - ED. SPRINGER VERLAG

Telecommunication systems
TCP/IP STACK
Analysis of a TLC system in the different protocol layers
Requirements analysis of multimedia systems

Stallings’ Cryptography and Network Security, Seventh Edition

Basic Concepts
Automatic control usefulness. Feedforward and feedback control. Block diagram. Mathematical models for dynamical systems. Systems taxonomy (linearity, stationarity, etc.). State definition.

Linear and Stationary System Analysis
Laplace transform and its properties. Inverse Laplace transform by partial-fraction expansion. Input-Output model of dynamical systems. Transfer function. Convolution. First- and Second-Order System Response. Natural response and forced response. Transient response and steady-state. Modes of the system. BIBO stability. Routh criterion for stability. Block diagram and their algebra.

Frequency Response
Definitions. Impulse Response. Step Response. Bode plot techniques. Nyquist plot techniques. Nichols plot techniques.

Feedback Systems Analysis
Closed-loop stability from open-loop frequency response. Nyquist stability criterion. Stability margins. Steady-state tracking and system type.

Closed-Loop Frequency Response
Design relations. PID Controller. Lead Compensator. Lag Compensator.

Main Textbook

Roberto Vitelli, Massimiliano Petternella, Fondamenti di Automatica, Edizioni Efesto
Roberto Vitelli, Massimiliano Petternella, Fondamenti di Automatica, Edizioni Scientifiche Siderea

Additional Textbook
Giovanni Marro, Controlli Automatici, quarta edizione 1997, Zanichelli.