


Politecnico di Torino  
Anno Accademico 2010/11  
01KXUHX Mathematical analysis II 

Corso di Laurea in Ingegneria Dell'Autoveicolo (Automotive Engineering)  Torino 





Obiettivi dell'insegnamento
This course gives the students the skills to use basics of differential and integral calculus with many variables, of equations and of differential systems, of functions series.

Competenze attese
The student must be able to use the knowledge acquired in applicative situations.

Prerequisiti
A good knowledge of differential and integral calculus in a variable and of some basics of liner algebra is required.

Programma
Elements of applicative geometry in the space.
Functions of many variables: partial and directional derivatives, gradients. Multiple integration applied to calculus of areas and volumes and to geometry of masses. Integration on curves and surfaces and linear and flux integrals. Systems of differential equations with constant coefficients. Numerical series, introduction to series of functions. Series of powers and Fourier's series with applications. 
Laboratori e/o esercitazioni
Practicals are on lectures' themes; they are carried out at the blackboard or at the PC and they are held by professors and carried out by students at their own PCs. Students are divided into two groups.

Bibliografia
The didactic material is made up partly of reference books and partly of material prepared by the lecturer.
Supplementary texts available at the library: Apostol T., Calcolo. Volume III, Bollati Boringhieri Bacciotti A., Ricci F., Analisi Matematica II, Liguori Ed. Bacciotti A., Boieri P., Farina D. Chiti G., Esercizi di Analisi Matematica II, Soc. Ed. Esculapio Conti F., Calcolo: Teoria e applicazioni, McGraw Hill 
Controlli dell'apprendimento / Modalità d'esame
The exam may not be taken by anyone who has not previously passed the exams for Mathematical Analysis I. The exam consists of a written paper which may be supplemented by an oral test. The consultation of texts is not permitted during the written test.

Orario delle lezioni 
Statistiche superamento esami 
