Real and
complex numbers. Functions of one real variable. Elementary
functions. Sequences and limits. Continuity and theorems on
continuous functions. Differential calculus and applications to
optimization problems. Taylor’s formula. Graphs of
functions. Integral calculus. Generalized integrals. First order
ordinary differential equations. Vector calculus, scalar and
vector products. Straight lines, circles and spheres. Vector
valued functions, plane and space curves, line integrals of the
first kind.
Chemistry A
30 cum Laude
5
Fall 2007
Synopsis
Atomic
structure. Electronic structure and the periodic table. Mole,
molar mass. Chemical reactions and equations. Proportional
relationships. Chemical bonding. Ionic bonds, covalent bonds.
Shapes and properties of molecules. Types of intermolecular
forces and condensed states of matter. Structure and properties
of solids. The gaseous state. Liquids. Change of state.
Thermodynamics. Energy, heat, work. Heat of reaction and
enthalpy. Spontaneous processes, entropy and free energy.
Chemical equilibrium. Factors that influence equilibrium.
Chemical kinetics. Collision theory and reaction rate. Effect of
temperature. Catalysis. Electrolyte solutions. Salts, acids,
bases, pH. Ionic equilibria. Redox reactions. Standard reduction
potentials. Electrochemical cells. Electrolysis. Preparation and
refining of metals. Corrosion. Chemistry and environment. Air
pollution. The photochemical smog and the acid rain. The ozone
hole and the greenhouse effect.
Fundamentals
of Aerospace Engineering
27
15
Methods of
Technical Representation
5
Fall 2007
Synopsis
Introduction
to the design process. Types of technical drawings. Standards.
Graphic representation: orthographic projections, views , cuts
and sections, dimensioning. Manufacturing and inspection of
parts: general principles on materials and related designations,
relation between technological process and shape; linear,
geometric and surface tolerances. Morphology of machine elements
(threaded elements, welding, bonding), transmission elements
(shafts and axes, hubs, keys and splines, bearings),
transformation of motion (belts, chaines, gearing). Laboratory
activity: utilization of 3D solid modeler to produce models and
drafts of parts and simple assemblies.
Fundamentals of Aerospace Engineering
7.5
Fall 2007
Integration of Fundamentals of Aerospace Engineering
2.5
Spring 2009
Synopsis
This
introductory course to the degree in aerospace engineering covers
several topics, which are organized as follows: Introduction to
the aerospace world and environment. Architecture of aerospace
vehicles. Aeromechanics fundamentals. Aerospace propulsion
fundamentals. Steady flight mechanics and performances. Vehicle
as a three-dimensional body and flight controls. On board
systems. Maneuvers and loads. The rotorcraft. Aerospace
structures fundamentals. Materials and aerospace technologies.
Calculus 2
30 cum Laude
5
Spring 2008
Synopsis
Vector
spaces. Matrices. Linear systems. Linear and quadratic function.
Linear ordinary differential equations with constant
coefficients. Number serie and Fourier series. Functions of
several variables. Partial derivatives, directional derivatives,
gradient. Implicit functions. Optimization problems: free and
with constrains. Lagrange multipliers. Double and triple
integrals. Work of a vector field. Conservative fields and
potentials. Sufaces, surface integrals. Stokes and divergence
theorems.
Experimental Physics A + B
27
10
Spring 2008
Synopsis
Physical
quantities e their measurements. Kinematics of a particle:
reference frames, position, velocity, acceleration. Dynamics of a
particle: Newton’s laws and their applications. Work,
power, energy and conservation of mechanical energy. Gravitation.
Periodic motion. Dynamics of particle systems and rigid body:
conservation laws, collisions, rotational motion. Temperature,
heat and work: equilibrium and thermodynamics transformations,
ideal gases. First law of thermodynamics. Heat engines, cycles
and thermal efficiency. Second law of thermodynamics. Coulomb’s
law, electric field. Gauss’s law. Electric potential.
Charges on conductors, capacitance, capacitors. Energy of the
electric field. Dielectrics. Electric current and Ohm’s
law, electromotive force. Magnetic field. Sources and properties
of the magnetic field, Ampe’re’s law. Magnetic
materials.
Informatics C
29
5
Spring 2008
Synopsis
The main
goal of the course is twofold: to provide a view of the potential
of analysis and modeling techniques offered by computer science
to solve real problems; to help students in understanding the
basic underlying principles of such techniques so that they can
use them in the future. The course presents the main concepts of
programming using the C language and briefly describes the
characteristics of computer systems highlighting the integration
aspects. More in detail, the main topics studied in the course
are the following: fundamentals of programming (algorithms and
stepwise refinement of design), foundations and techniques of
programming in C (programs structure, types and main
instructions, subprograms, file management), basic concepts of
advanced programming (dynamic data structures), composition and
organization of computer systems, introduction to a design and
development platform for data acquisition and control. The main
goal of the course is twofold: to provide a view of the potential
of analysis and modeling techniques offered by computer science
to solve real problems; to help students in understanding the
basic underlying principles of such techniques so that they can
use them in the future. The course presents the main concepts of
programming using the C language and briefly describes the
characteristics of computer systems highlighting the integration
aspects. More in detail, the main topics studied in the course
are the following: fundamentals of programming (algorithms and
stepwise refinement of design), foundations and techniques of
programming in C (programs structure, types and main
instructions, subprograms, file management), basic concepts of
advanced programming (dynamic data structures), composition and
organization of computer systems, introduction to a design and
development platform for data acquisition and control.
Business Economics and Organisation
29
5
Spring 2008
Synopsis
The course
aims at understanding, on the one hand, the organisation of a
company and, on the other hand, the tools and information needed
by companies in order to take decisions. The course is divided
into 6 areas: the company and its relations with the external
context; economic and financial components of a company and the
balance sheet; business organisation; management accounting;
short term decisions; investments evaluation. The course also
requires a project work developed in groups of two/three students
aimed at applying to a real case what studied in classes.
Thermodynamics and Heat Transfer
27
10
Fall 2008
Synopsis
The course
introduces foundations and applications of engineering
thermodynamics as well as basic concepts of heat transfer, and it
is aimed to solve simple problems in modeling
thermo-fluid-dynamic processes and energy systems. Main topics:
fundamentals of thermodynamics, internal energy, available
energy, entropy; properties of substances, state equations for
ideal gases and incompressible liquids, heterogeneous systems;
engineering thermodynamics: control volume, mass, energy and
entropy balances, conversion devices (turbines, compressors,
pumps, nozzles), cycles and processes for power and refrigeration
plants (Otto, Brayton, Rankine, vapor-compression cycle); heat
transfer mechanisms, the Fourier’s equation, the
one-dimensional steady-state solution for plane and cylindrical
geometry; electrical analogy and equivalent thermal network;
transient conduction (the lumped capacitance method); forced
convection in internal and external flows, dimensionless numbers;
thermal radiation, black body, gray surfaces, radiation
exchanges.
Theoretical Mechanics
30
10
Fall 2008
Synopsis
The course
on theoretical mechanics aims at providing a general background
about the concepts and methods of Classical Mechanics. Starting
from the basic notions on Newtonian mechanics which students have
already acquired in previous courses, the mechanics of systems of
constrained point masses, rigid and deformable bodies is
rigorously developed. In the first part of the course, the study
of mechanical systems is based on the balance equations for
linear and angular momentum and kinetic energy. The concepts and
methods of analytical mechanics are presented and applied in the
second part of the course. The benefits and drawbacks of the two
approaches are discussed. The chapter devoted to analytical
mechanics also contains a presentation of the basic tools to
study the stability of motion and equilibrium of mechanical
systems, as well as an introduction to variational formulations
of mechanics.
Circuits and Electronics
30 cum Laude
10
Fall 2008
Synopsis
The course
deals with the basic principles and applications of electrical
engineering. The general part of the course is devoted to circuit
theory, and therefore it provides the characterization of
electrical and electronic components, the methods of analysis for
resistive electrical networks, sinusoidal steady-state and
dynamical networks, and circuits in the frequency domain. The
application-oriented part of the course is devoted to electronics
(examples of analysis and design of electronic circuits) and to
electromechanical conversion of energy (electromechanical devices
and basic principles of the main electrical machines).
Integration of Calculus and Geometry 2
30
5
Spring 2009
Synopsis
The course
provides students with an overview of results of wide
application, regarding the stability analysis of the solutions of
differential and difference equations. Autonomous equations are
mainly addressed among the domain of first order equations, while
the linear case is studied for equations of higher order and for
systems of equations; a special attention is devoted to the case
with constant coefficients. The presentation of fundamental
results related to existence, uniqueness and prolongability of
solutions is given. Particular care is given to the aspect of
mathematical modeling, through the analysis of problems related
to mechanics, kinematics, energetics, fluid dynamics and
economics. Some applications and models of outstanding relevance
will be implemented in Matlab environment as programming
exercises.
Fundamentals of Automatic Control
30
8
Spring 2009
Synopsis
After an
introduction where the control problem is introduced, the course
works out the theory of dynamic systems: the notion of dynamic
system in time domain is formalized and fundamental concepts are
defined, like state variables, system linearity, motion,
equilibrium and linearization around an equilibrium point.
Structural properties (stability and some elements on
controllability and observability) of dynamic systems are
studied. Laplace and Fourier transforms are then introduced:
based on these tools, the description of dynamic systems in terms
of transfer functions is addressed. In particular, stability of
systems and the relation between zeros and poles of the transfer
function and the time responses are discussed. The study of
dynamic systems is completed by the analysis of the frequency
response, including Bode diagrams plotting. The study of the
tools for simplification of the block diagrams introduces the
discussion on feedback control systems, in terms of stability,
dynamic and static performance. The design of the controller in
the frequency domain is then worked out in detail, with
particular reference to industrial controllers (PID). Root locus
analysis is discussed as well. Discrete time systems theory,
briefly developed in this course, introduces the last part, where
the main properties and the design criteria for digital control
systems are discussed. In particular methodologies for the
digital implementation of an analogue controller are presented.
Applied Numerical Analysis
30 cum Laude
10
Spring 2009
Synopsis
The
objective of this course is to introduce some numerical methods
for the solution of engineering problems, while growing, at the
same time, a sufficient insight with a view to their employment.
This aim will be pursued by completing the lectures with hands-on
sessions in computer laboratories based on Matlab or Octave. The
topics covered on the Course can be classified in six categories:
numerical linear algebra; numerical solution of nonlinear
equations and systems; approximation of functions and data;
numerical integration and differentiation; ordinary differential
equations; boundary-value problems. Moreover some basic issues on
partial differential equations will be provided, covering both
the theoretical and the numerical aspects. For all these topics,
the corresponding implementation skills as well as some practical
exemplifications will be furnished.
Aerospace Systems
28
8
Spring 2009
Synopsis
Features of
most relevant components and their integration in aerospace
systems. Layout and preliminary sizing of hydraulic, electrical,
pneumatic, fuel, environmental, landing gear and flight control
systems. Emergency systems, instruments and avionic systems.
Fundamentals of Structural Mechanics
30
10
Fall 2009
Synopsis
The purpose
of the course is to introduce aeronautical engineering students
to Structural Mechanics. In the first part, the focus is set on
equilibrium of structural systems. Beams are the main object of
the analysis, but the generality of the discussed concepts (e.g.
for continuum models) is constantly underlined. Basic concepts of
solid mechanics are discussed: stresses, strain and constitutive
laws. The general problem of thermo-elasticity is formulated and
analytically solved in the case of the De Saint Venant solid, as
an example of analytical solution. Elastic deformability of
structural systems is analyzed and some approaches to solve
statically undetermined, plane and spatial, problems are
presented in conceptual and operative terms. The Virtual Work
Principle (VWP) and the elasticity theorems are introduced. The
VWP is applied to the solution of simple, elastic, plane and
spatial frames. A special attention is given to the total
potential energy theorem and its numerical importance. Beyond the
linear elasticity limits, the third part of the course describes
basic concepts on instability of elastic structures and strength
criteria, introducing the bases of the classic plasticity.
Dynamics of Aerospace Systems
28
8
Fall 2009
Synopsis
The course
provides basic modeling capabilities by illustrating how reality
can be cast into physical models, which are translated in
mathematical models and analyzed to provide approximate answers
to the real problems. The foundations of the course are
represented by kinematcis and analytical dynamics provided by
theoretical mechanics, augmented by basic concepts of hydraulic
and electric modeling, provided by aerospace systems and
electrotechnics. The principles of control theory are applied to
the resulting dynamical systems. Phenomena related to interaction
between machinery parts are presented, including friction, tyre
rolling and lubrication. The energetic approach to the
description of single degree of freedom machines is presented as
well. The actuation of coupled systems is analyzed from the point
of view of their control. The process of continua discretization
is introduced. The dynamics of discrete systems is analyzed from
the point of view of small perturbations about a steady
configuration, to address stability and response to periodic
excitation. Single degree of freedom systems are considered
first: free and forced response of damped and undamped systems
are analyzed. Multiple degree of freedom systems allow the
introduction of the concept of natural frequencies and modes of
vibration. The course is concluded by basic notions of stability
and response of systems subjected to non-conservative force
fields, with applications to aeroelasticity.
Aerospace Propulsion
27
7
Fall 2009
Synopsis
The course
aims to provide the fundamental knowledge of modern aerospace
propulsion systems. After an introductory review of the main
propulsion systems, for aeronautical and space applications, the
system performance parameters are discussed in detail. A review
of fundamental topics concerning fluid-dynamic, thermodynamic and
energetic aspects of the propulsion systems is given in order to
deep air inlets, combustion chambers, nozzles and turbomachines.
The final part of the course is devoted to the detailed treatment
of airbreathing and rocket motors.
Aerospace Technologies and Materials
27
7
Fall 2009
Synopsis
The course
of Aerospace Technologies and Materials has the purpose to impart
the basic concepts about the materials and the technologies
adopted for the construction of aerospace vehicles. To this aim,
the material and process selection strategies are preliminarily
analyzed, as well as property limit and indices. Then, the main
features of the principal families of materials used for
aerospace construction are presented, paying special attention to
metals, metal alloys and composite materials, as well as to the
related technologies for the construction of detached components.
Finally, the joining techniques are considered, together with the
assembling organization and the overall production management.
Besides, post-production issues, like non destructive inspection,
repairing and maintenance procedures are dealt as well.
Fluid Dynamics
27
10
Spring 2010
Synopsis
The
fundamentals of fluid dynamic phenomena and related models are
given in this course. In the first part of the course, the laws
and the physical and mathematical models governing the dynamics
of fluids are derived on the basis of the knowledge supplied by
previous courses in the fields of physics, mathematics,
theoretical mechanics, numerical methods and applied
thermodynamics. Starting from the most general mathematical model
of the Navier-Stokes equations, which is analyzed and discussed
in details, the classical simplified models of fluid dynamics are
derived, based on dynamical approximations criteria, assumptions
on the rheological and thermodynamic state equations of the
specific fluid and flow conditions, or properties of the flow
domain and boundary conditions. Steady and unsteady exact
solutions of the Navier-Stokes equations, the Euler equations,
the Prandtl’s thin layer and the potential flow models are
presented, the latter having particular impact on low speed
aeronautical applications. The theoretical aspects of fluid
dynamics are treated in constant touch with their practical,
natural or industrial implications and supported by the physical
insight supplied by the still unequalled films of the National
Committee for Fluid Dynamics. Fellows will also be introduced to
basic experimental techniques and will acquire capabilities in
the prediction of the aerodynamic performances of airfoils.
Fundamentals of Atmospheric Flight Mechanics and Space Mission
Analysis
27
7
Spring 2010
Synopsis
The course
addresses the basic elements of fixed-wing aircraft flight
mechanics and of orbital mechanics. After the introduction of
preliminary notions on the aircraft and the environment of
flight, basic aerodynamics and aeronautical propulsion, the
course covers the analysis of basic aircraft trim, control,
static and dynamic stability, ending with the study of point and
integral flight and airfield performances. Appropriate
mathematical models and equations of motion are introduced, in
order to characterize orbital trajectories, analyze orbital
maneuvers and interplanetary mission planning. The presentation
of the various topics is complemented by the student’s
implementation and usage of simple numerical algorithms.
Principles of Aerospace Experimentation
29
7
Spring 2010
Synopsis
Basics in
metrology: Needs for experimentation, The generalized instrument,
Standards and requirements. Measurements methods in aerospace
experimentation: fundamental principles in transduction.
Fundamental techniques for basics measurements (length,
displacement, strain, acceleration, force, pressure, temperature)
Static and dynamic properties of instruments and transducers.
Quality properties of instruments. Dynamic modelling of
instruments. Basics in signal conditioning (filtering,
amplification, partitioning) Analogic to digital conversion and
data acquisition systems: A/D and D/A converter characteristics
and performances. Sampling theoreme. Leakage. Acquisition systems
layouts Statistical analysis of experimental data: Basics in
probability and statistics. Density distribution. Infinite and
finite statistics. Confidence level and interval. Rejection of
questionable data. Data fitting. Design and management of
measurement systems: Experimental Uncertainity Analysis. Design
of simple measurement systems.
Final Degree Test
Approved
9
Spring 2010
Final Degree Test of Aerospace Propulsion
3
Synopsis
The activity
addresses the critical analysis of main propulsion systems, for
aeronautical and space applications, in order to characterize the
overall system and its specific components.
Final Degree Test of Aerospace Technologies and Materials
3
Synopsis
The activity
addresses the numerical analysis and design of a pressure vessel,
in order to select materials and dimensions and compare
advantages and drawbacks between the use of metallic and
composite materials.
Final Degree Test of Atmospheric Flight Mechanics and Space
Mission Analysis
3
Synopsis
The activity
addresses the numerical analysis of aircraft flight performances,
in order to characterize figures of merit and analyze common
flight paths, and of satellite orbits, in order to characterize
orbital trajectories and analyze orbital maneuvers.