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Risorse bibliografiche
Risorsa bibliografica obbligatoria
Risorsa bibliografica facoltativa
Scheda Riassuntiva
Anno Accademico 2017/2018
Scuola Scuola di Ingegneria Industriale e dell'Informazione
Insegnamento 096233 - MATHEMATICAL AND NUMERICAL METHODS IN ENGINEERING [I.C.]
  • 096229 - MATHEMATICAL AND NUMERICAL METHODS IN ENGINEERING [1]
Cfu 5.00 Tipo insegnamento Modulo Di Corso Strutturato
Docenti: Titolare (Co-titolari) Arioli Gianni, Grillo Gabriele

Corso di Studi Codice Piano di Studio preventivamente approvato Da (compreso) A (escluso) Insegnamento
Ing Ind - Inf (Mag.)(ord. 270) - BV (478) NUCLEAR ENGINEERING - INGEGNERIA NUCLEARE*MZZZZ096295 - MATHEMATICAL METHODS IN ENGINEERING
Ing Ind - Inf (Mag.)(ord. 270) - MI (471) BIOMEDICAL ENGINEERING - INGEGNERIA BIOMEDICA*MZZZZ096233 - MATHEMATICAL AND NUMERICAL METHODS IN ENGINEERING [I.C.]

Programma dettagliato e risultati di apprendimento attesi

Program of the course.

Differential calculus for functions of several real variables. Series of functions. Transport equation. Traffic flow models. Method of characteristics. Rankine-Hugoniot relation. Shock and rarefaction waves. Entropy condition. Heat equation. Well-posed problems. Separation of variables. Maximum principles. Fundamental solution.Duhamel principle. Harmonic functions. Mean value properties. Maximum principles. Poisson’s formula for the disk. Newtonian potentials. Wave equation. Well-posed problems and separation of variables. D’Alembert formula. Lebesgue integral. Hilbert spaces. Projection theorem and Riesz representation theorem.

Evaluation procedures.

The exam in Mathematical Methods is written and concerns both in questions about the theory and in exercises about the topics listed above. Students should show knowledge and understanding of such topics as concerns the theory questions, and applied knowledge as regards the capability of solving the proposed exercises. The students' classworks should show autonomy and communication skills as well.

We remind the students, as mentioned in the examination procedures of the course as a whole, that it is possible to take the exam in one modulus (Mathematical or Numerical Methods) in one of the five examination dates and the exam in the other modulus in another examination date, provided such dates are in the same academic year. The partecipation to the written exam in one of the two moduli automatically discards any previous grade obtained for that modulus, even if the student chooses to withdraw.

 

 


Note Sulla Modalità di valutazione

The exam will be held in written form. It will contain exercises on the topics covered by the course, and questions about the theory.

The final grade is the (rounded up) arithmetic mean of the grades obtained in the two moduli. To have the votation “30 cum laude” one should obtain 30 with laude in both the subparts. In case of a votatin of 30 with laude in only one of the two subparts, this gives a contribution of 30 in the arithmetic mean.


Bibliografia
Risorsa bibliografica obbligatoriaS. Salsa, F. Vegni, A. Zaretti, P. Zunino, A Primer on PDEs: Models, Methods, Simulations, Editore: Spinger, Anno edizione: 2013, ISBN: 978-88-470-2861-6

Software utilizzato
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Mix Forme Didattiche
Tipo Forma Didattica Ore didattiche
lezione
30.0
esercitazione
20.0
laboratorio informatico
0.0
laboratorio sperimentale
0.0
progetto
0.0
laboratorio di progetto
0.0

Informazioni in lingua inglese a supporto dell'internazionalizzazione
Insegnamento erogato in lingua Inglese
Disponibilità di libri di testo/bibliografia in lingua inglese
Possibilità di sostenere l'esame in lingua inglese
schedaincarico v. 1.10.0 / 1.10.0
Area Servizi ICT
13/07/2024