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FUNDAMENTALS OF CHEMISTRY - 9 ECTS

Roberto Paolesse (2010-2018)

Teaching Assistant: Dr. Larisa Lvova

Structure of the Atom, Schrödinger wave equation, Hydrogen atom, Atomic orbitals, Electron Configuration, Periodic Properties and the Periodic table of Elements. Chemical bond: Octet rule, Ionic bond, Covalent bond, Multiple bonds, Lewis electron dot formula, Polar covalent bond, Electronegativity, Valence bond theory, Hybridization, VSEPR theory, Molecular orbital theory, Application of MO theory for diatomic molecules, Forces of attraction between molecules.
Law of chemical combination, Law of combining volumes, Mole concept, Formula. Stoichiometric Calculations. Gases: Gas Laws, Ideal gas law, Dalton's law of partial pressure, van der Waals equation. Thermochemistry, Heat, Work, First law of thermodynamics, Enthalpy, Entropy, Free energy. Solid and Liquid States, Types of solids, Phase change: vapor pressure. Non-Electrolytic Solutions, Raoult's law, Deviation from Raoult's law, Henry's law, Colligative properties. Chemical equilibrium. Le Chatelier’s principle. Equilibrium constants. Law of mass action. Volume dependency, Temperature dependency, Equilibria in aqueous solutions, Electrolytic dissociation. Colligative properties of electrolyte solutions. Acids and bases, Bronsted-Lowry concept, Lewis concept, Ionization of Water, Acid-base equilibria and pH. Buffers, Solubility product. Oxidation numbers. Redox reactions. Electrochemical cells.

Reference book: Raymond Chang, “General Chemistry: The Essential Concepts”, McGraw-Hill.
Teaching activities: Lessons. Collective tutorial by correcting written exercises.

Syllabus

ENGINEERING ECONOMICS - 6 ECTS

Silvia Testarmata (2012-2013)

Brunelli Sandro (2013-2014)

Andrea Fronzetti Colladon (2014-2015) (2015-2016) (2016-2017) (2017-2018)

Elisa Battistoni (2018-2019)

FUNDAMENTALS OF COMPUTING - 9 ECTS

Flavio Lombardi (2016-17)

Simeoli Enrico (2019)

Introduction to Computer Science; Programming Paradigms; Functional and Object Oriented Approaches; Principles of Software Engineering and Modeling; Version Control; Basic concepts of Programming Languages; Variables; Control structures (Loops, Conditional Selection), Data structures; Functions and parameters; Recursion; Input/Output; Concurrency and Parallelism; Networking and Distributed Applications; The Art of Documentation; Software Security and Reliability concepts.

LINEAR ALGEBRA AND GEOMETRY - 9 ECTS

Giuseppe Pareschi 2015-16

McQuillan e Salvatore Paolo 2016-17

Salvatore Paolo 2018-19

In this course the student will be led to an understanding of basic linear algebra by emphasizing the geometric significance of the subject. The main topics will be: matrices, linear maps, determinants, inner product spaces, systems of linear equations, eigenvalues, self-adjoint linear operators and quadratic forms.
Such concepts will be initially studied within the familiar geometry of the plane and of the three-dimensional space, and, afterwards, in the setting of finite-dimensional inner product spaces.

Syllabus

Linear Algebra and Geometry                                     G.Pareschi        2015-2016

MATHEMATICAL ANALYSIS I - ECTS 12

Longo Roberto (1 CFU) e Ciolli Fabio (11 CFU)

Rossi Stefano e Sebastiano Carpi (2019)

Basic elements. Real and complex numbers. Topologi of the rial line and the n-dimensional real space.

Differential calculus for real functions.
Elementary real functions and their inverse: polynomial, exponential, logarithm, trigonometric function. Concept of limit, limits of indefinite forms; continuity, properties of continuous functions, uniform continuity; derivatives, maxima and minima, the graph of a function; De L’Hopital’s Rule; Taylor expansions.

Introduction to multivariable calculus: continuity, differentiation, directional derivatives, gradient; higher order differentiations, Hessian matrix.

Integral calculus for real functions: antiderivatives, Riemann integrals; improper integrals.

Numerical series.

Introduction to ordinary differential equations of first and second order.

Lecturers:

Tutor:

Old syllabus for Mathematical Analysis I:

PHYSICS I - ECTS 12

Maria Richetta

Scientific method. Kinematics of a point particle. Relative motion. Newton's laws. Harmonic oscillator (simple, damped and forced). Dynamics in non-inertial systems. Work, energy, power. Central forces. Moments and equilibrium of moments. Dynamics of particle systems. Statics and dynamics of rigid bodies. Introduction to thermodynamics. 1st law of thermodynamics. 2nd law of thermodynamics, entropy, probability.
Kinetic theory of gases, statistics. Gibbs and Helmholtz free energies. Elastic waves. Huygens principle, reflection and refraction. Statics and dynamics of fluids.

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