CANUTO TABACCO ANALISI MATEMATICA 2 PDF

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On Jan 1, , C. Canuto and others published Analisi matematica II: Teoria ed esercizi con complementi in rete. Anita Tabacco at Politecnico di Torino. Get this from a library! Analisi matematica [teoria ed esercizi]. [Claudio Canuto ; Anita Tabacco]. 3a ristampa con modifiche by Claudio Canuto, Anita Tabacco (ISBN: in rete (UNITEXT/La Matematica per il 3+2) (Italian) Paperback – 4 Jul by.

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Servizi per la didattica. Didattica Ore Lezioni 50 Esercitazioni in aula Docente Qualifica Settore h. Espandi Riduci Nessuna collaborazione prevista.

Vengono inoltre fatti alcuni cenni alla trasformata di Laplace. This course first completes the theory of functions of one variable which was developed in Mathematical Analysis I, presenting the basic concepts of numerical series, power series and Fourier series. The basic notions of the Laplace transform are also presented here. Then the course presents the basic topics in the mathematical analysis of functions of several variables.

In particular, differential calculus in several variables, the theory of multiple integration, line and surface integration. Risultati attesi Expected Learning Outcomes.

Understanding of the subjects of the course and computational skills in applying the mathematical tabaacco presented in the course. Familiarity with the mathematical content of engineering disciplines.

Ability in building a logical sequence of tanacco using the tools introduced in the course. In particolare, limiti, successioni, calcolo differenziale e integrale per funzioni di una variabile, equazioni differenziali, algebra lineare, geometria delle curve. In particular, limits, sequences, differential and integral calculus for functions of one variable, differential equations, linear algebra, geometry of curves.

Cenni di topologia dello spazio Euclideo n-dimensionale.

Derivate parziali e direzionali, matrice Jacobiana. Derivate seconde, matrice Hessiana. Punti critici, massimi e minimi liberi. Integrali doppi matenatica tripli, baricentri. Lunghezza di una curva e area di una superficie cartesiana. Integrali curvilinei e di superficie, circuitazione e flusso di un campo vettoriale. Teoremi di Green, della divergenza Gauss e del rotore Stokes.

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Definizioni e criteri di convergenza per twbacco serie numeriche. Review on vectors and elements of topology of the n-dimensional Euclidean space. Functions of several variables, vector fields. Partial and directional derivatives, Jacobian matrix. Differentiability, gradient and tangent plane. Second derivatives, Hessian matrix.

Critical points, free extrema. Double and triple integrals, center of mass. Length of a curve and area of a graph. Line and surface integrals, circulation and flux of a vector field. Green, Gauss and Stokes canuuto. Definition and convergence criteria for numerical series.

Organizzazione dell’insegnamento Course structure. Il corso consiste di 50 ore di lezione e 30 di esercitazione. Ogni argomento teorico trattato nelle lezioni viene arricchito da esempi introduttivi.

Theoretical lessons are devoted to the presentation of the topics, with definitions, properties and the proofs which are believed to facilitate the learning process. Every theoretical aspect is associated with introductory examples.

The exercise hours are devoted to the analysis and the methods required for solving exercises with the aim of preparing the student to the exam. The teacher of the course will suggest some textbooks among the following during the lectures: Other material will be avalaible on the Portale della Didattica. Regole d’esame Assessment and grading criteria.

L’esame consiste in una prova scritta e di una prova orale facoltativa. La prova scritta consiste di 7 esercizi a risposta chiusa e di un esercizio a risposta aperta sugli argomenti contenuti maetmatica programma del corso ed ha lo scopo di verificare il livello di conoscenza e di comprensione degli argomenti trattati.

CANUTO TABACCO ANALISI 1 PDF DOWNLOAD

Ciascun esercizio a risposta chiusa vale: L’esercizio a risposta aperta vale 9 punti. The goal of the exam is to test the knowledge of the candidate on the topics included in the official program of the course and to verify the computational and theoretical skills in solving problems.

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Marks range from 0 to 30 and the exam is succesful if the mark is at least The exam consists of a written part and an optional oral part. The written part and consists of 7 exercises with closed answer and one exercise with open answer on the topics presented in the course, with the aim of ascertaining the level of comprehension of the topics of the course. The aim of the exam is to certify the Expected Learning Outcomes see above. Questions cover both computational and theoretical aspects, to evaluate the ability in building a logical sequence of arguments using the tools introduced in the course.

The written exam lasts two hours.

Canuto Tabacco Analisi Matematica 1 Pdf Analisi Matematica Pdf

Marks are given according to the following rules. An additional point is reserved to notational clarity and rigour in the exposition and allows the student to obtain a cum laude mark. During the exam it is forbidden to use notes, books, exercise sheets and pocket calculators. The test results will be posted on the teaching portal together with the date in which the students can see their tests and ask for explanations. Student can request an optional oral part that can alter both in the positive and in the negative the mark obtained in the written part.

The optional oral part can only be requested in the same exam session of the written part.