Percorso formativo

Educational objectives

Obiettivi formativi (Inglese): Aim of this module is the achievement, by the students, of the basic means of Mathematical Analysis related to the study of functions of one real variable and their use for the solution of problems in Applied Mathematics, and in particular of Physical and Engineering problems. Special emphasis is devoted to qualitative study and approximate solution of these problems, by virtue of asymptotical techniques, Taylor polynomials etc.
Risultati di apprendimento attesi (Inglese): Successful students will be able to study the behavior of numerical sequences and series; to sketch the complete graph of a function of one variable; to develop the Taylor (or MacLaurin) polynomials of functions of one variable; to study the asymptotical behavior of a function when the independent variable approaches infinity or singularities or zeros; to solve optimization problems in one variable, on bounded and unbounded intervals; to solve definite, indefinite and improper integrals; to solve some kinds of ordinary differential equations, characterizing several Physics and Engineering problems.

Educational objectives

Educational objectives
Basics in linear algebra and geometry. Linear systems and their geometrical interpretation for 2 or 3 unknowns.
Familiarity with rigorous reasoning, with numerical and symbolic calculus, with the analysis of problems using an optimal strategy.
Familiarity with vectors and matrices, and with geometrical entities in 2 or 3 dimensions in
connection with equations of degree 1 or 2.
Understanding of linear applications and, in particular, of diagonalization.
Expected learning outcomes:
I expect constant learning as the course goes on; learning will be increased by tutorials and tests.
Little difficulties can be solved also by an email contact.
Although the beginning may be difficult, mostly due to faults in the mathematical background, after the first impact - in several cases after the first or second written examination - one expects a neat improvement.

Educational objectives

The course aims at teaching methods and techniques for drawing, seeing and reading the territory and the built environment. The student, future engineer, will have the appropriate tools to represent, understand and analyze the spatial configurations of a built environment to design its modifications and its protection. The course therefore aims to develop the theoretical foundations of projective drawing that arises from the applications of the methods of descriptive geometry as well as the drawing intended as a computer model with the use of CAD software.
Students, after passing the exam, will be able to correctly use the universal expressive language of drawing, as a tool of knowledge and analysis multiscale, and to develop essential spatial models of design and relevance to represent interventions on the territory and the environment.

Educational objectives

Give students the essential linguistic competences needed to deal with written scientific communication.

Educational objectives

The course aims at providing knowledge of the most important notions of
the real analysis in multidimensional spaces. Concepts of limit,
continuity, derivative, differential and integral are extended to
multidimensional spaces. An introduction is given to the fundamental
concepts of sequence and series of functions. The basic request of the
class lies in the practical use of these mathematical tools, besides a
deep understanding of the theoretical background. Finally, a short
description of the quasi-linear partial differential equations is
given, with particular regard to the classification and to the main
properties of elliptic, parabolic and hyperbolic systems.It is required the ability to perform basic operations such as limits,
partial derivatives, differentials and integrals in multidimensional
real spaces. All these tools have to be used in a critical and
constructive way. At the same time, a deep knowledge of the theoretical
background is also required. The present class aim at encouraging the
approach towards new mathematical problems as well as to reach a
satisfactory capability in the practical use of the Mathematical
Analysis in the Engineering Sciences.

Educational objectives

The main objective of the course is to present the principles of General
Chemistry. The theoretical discussion of the topics will be constantly
accompanied by numerical applications for the student to acquire the
basic concepts and the ability to apply them to solve chemical problems.
The main topics covered include: materials and systems, the fundamental
laws of chemistry. Atoms and chemical formulas. The chemical reactions
and their balance. The stoichiometry. The atomic models. The electronic
configurations. The periodic system of elements. The chemical bond. The
behavior of gaseous systems. The chemical equilibrium in aqueous
solution, under homogeneous and heterogeneous.Solutions and their
properties. Acids and bases in water solutions. Reactions involving
electron transfer and their balance. Notes of electrochemistry.EXPECTED RESULTS: Mastery of the basic concepts of Chemistry and their application.

Educational objectives

The course will introduce the student to the scientific method. Concepts
and formalism of the classical mechanics and thermodynamics will be
developed. The aim of the course is to allow the student to became
familiar with the basic models of the classical physics and in
particular with the concept of physical observable and with the role of
Physics Laws.At the end of the course the student should be able to apply the
concepts acquired to the solution of simple problems of mechanics and
thermodynamics.

Educational objectives

To supply the fundamental principles of classic electromagnetism and of
wave phenomena in vacuum and in matter, stressing the experimental
character of the subjects. To teach how to solve by reasoning simple
problems on the above subjects.The student must understand the phenomena related with classic
electromagnetism and with wave propagation. He must realize which
physics lows are obtained from experiments and which from mathematical
deduction. He must also learn how to apply the subjects studied to the
solution of simple problems.

Educational objectives

The aim is that of providing students with some fundamental probabilistic and statistical notions, which are the basis of the logical-mathematical reasoning under uncertainty, with incomplete information. This will stimulate those critical skills which allow to face, besides "routine" problems, new problems too. In particular, students should acquire some basic notions which concern conditional and unconditional probabilities, discrete and continuous probability distributions, and statistical inference.Basic notions and theoretical results on conditional and unconditional probabilities, prevision, variance, correlation coefficient, probability density, cumulative distribution function, joint, marginal and conditional distributions, characteristic function, basic notions on statistical inference.

Educational objectives

General learning outcomes

The class in Meccanica Razionale has a twofold aim: provide the
students with the methods necessary to approach the study of
constrained mechanical systems, in particular rigid body systems,
and show how a rigorous mathematical formalism can be fully
integrated within a physical theory enabling its full and deep
rigorous understanding.

Specific learning outcomes

Knowledge and understanding skill
The students learn the theory of Euclidean spaces motion (relative
motion), the kinematics and the dynamics of systems of rigid bodies,
the Lagrangian approach to the study of ideal holonomic constrained systems.
Moreover, the students will learn how to cast a mechanical problem
in a mathematical model via the ordinary differential equation theory.

Applying knowledge and understanding skill
The class completed, the student will be able to deal with
systems of rigid bodies and, in the case of ideal holonomic
constraints, write the equation of motions sufficient to the
description of all the possible motions of the system.
Moreover, the student will have learnt the methods to detect the
equilibrium position of the system and to study their stability
character.

Communication skill
The students practice their communication skills during the final
oral exam, in which they have to provide a mathematically rigorous
treatment of relevant aspects of an involved physical theory.

Learning skill
The student practice his self-learning skills by tackling and
solving many different physical problems. The student, indeed,
has to attack a physical problem on his own trying, first, to
recast the problem using the correct mathematical modelling and,
then, studying analytically and qualitatively the equations he found.

Educational objectives

This course explains the fundamental methods for the analysis of single and three phase circuits, the operating principle and operating characteristics of the main electrical machinery and criteria and design methods of lines for transmission and distribution of electricity. Particular emphasis is given to those aspects and applications of intersection with the normal activities of an environamental engineer.
Risultati di apprendimento attesi (Inglese):After completing this course the student will have a basic preparation that will enable understanding of the phenomena associated with the generation, transmission and use of electricity and will be able to evaluate the performance of the main electrical machinery, in relation to specific needs and know the major problems associated with their use.

Educational objectives

In the frame of continuum mechanics the fundamental equations ruling the motion of fluids are developped for no-viscous
and viscous flows. Further one-dimension representation schemes are proposed in order to solve the design problems concerning fluid motion in pipe and in channes.

Educational objectives

The course provides the theoretical basis of structural engineering by illustrating
theoretical models and practical tools for the analysis of structural systems (mainly those
composed by beams), and examining their equilibrium, compatibility, strength and stability.
The topics dealt with contribute to form the necessary knowledge to identify, formulate and
solve the structural problems of the building design, and to understand the technical
language of structural engineering.

The students shall be able to analyze and solve simple structural patterns, such as
statically determinate and indeterminate systems of beams and trusses, by evaluating their
states of stress and deformation and carrying out the safety check of the cross sections.
Moreover they shall know the basics of continuum mechanics. In making judgements, the
students will acquire: 1.1 ability to choose the most appropriate theoretical models (rigid
body, elastic beam, deformable body) to address the analysis of real structures; 1.2 ability
to design and perform numerical analyses on basic structural problems, to interpret data
and draw conclusions; 1.3 Understanding the main structural analysis techniques and their
limits. In learning skills, the students will acquire: 2.1 ability to properly identify, formalize
and solve the structural problems; 2.2 ability to understand the technical terms used in
structural engineering; 2.3 skills needed to undertake further advanced courses on
structural engineering.

Educational objectives

The course aims to provide the basic elements for knowledge of Ecology, that combines principles and methods. Are primarily developed arguments of base of Ecology to understand environmental problems, characterizing engineering field of environment and land.

Educational objectives

The final exam consists of the presentation of an essay related to the activities conducted during the stage/Thesis-Work.
The preparation for this exam make it necessary for the student to get skills related to the presentation of her/his work,and the capability to discuss and argue with an audience fully aware of the topics presented.