16/11/ Libri di Matematica generale Libri di Storia della Matematica . 26 Topic, 1 Libri di Analisi Matematica per biblioteca personale. ridio. Dipartimento di Matematica – Università di Torino Analisi matematica. Con elementi di geometria e calcolo vettoriale. VL Barutello, M Conti. Maggioli Editore . G. De Marco, C. Mariconda: Esercizi di Analisi Due, Zanichelli Decibel. C. D. Pagani, S. Salsa: Analisi matematica 2, Zanichelli. V. Barutello, M. Conti, D.L.
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The main goal of this course is to present the basic topics in the mathematical analysis of functions of several variables.
Libri ed eserciziari
In particular, differential calculus in several variables, the theory of multiple integration, line and surface integration.
The course also presents the theory of numerical and power series, and differential equations. Understanding of the subjects of the course and computational skill. Ahalisi with the mathematical content of engineering anslisi. In particular, limits, sequences, differential and integral calculus for functions of one variable, differential equations, linear algebra, geometry of curves.
Functions of several variables, vector fields. Partial and directional derivatives, Jacobian matrix. Differentiability, gradient and tangent plane.
Libri ed eserciziari: consigli e suggerimenti
Second derivatives, Hessian matrix. Critical points, free extrema.
Implicit functions, constrained extrema with the method of Lagrange multipliers. Double and triple integrals, center of mass.
Gestione Didattica – Politecnico di Torino
Length of a curve and area of a graph. Line and surface integrals graphs onlycirculation and flux of a vector field. Green, Gauss and Stokes theorems. Definition and convergence criteria for numerical series.
Linear differential equations with non-constant coefficients and linear systems with constant coefficients. 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 execise hours are devoted to the analysis and the methods required for solving exercises, with the aim of preparing the student to the exam. Texts, readings, handouts and other learning resources. The following lists collects some textbooks covering the topics of the course.
Verzini, “Analisi Matematica”, volume 2, Apogeo S. Salsa, “Analisi Matematica 2”, Zanichelli, C.
barute,lo 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.
Marks range from 0 to 30 and the exam is succesful if the mark is at least The exam is written, consisting of 7 exercises with closed answer and one exercise with open answer on the topics presented in the course. Questions cover also theoretical aspects. 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.
The exam lasts two hours. During the exam it is forbidden to use notes, books, exercise sheets and matekatica 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. Quelali Gutierrez Guillermo Gonzalo.
Subject fundamentals The main goal of this course is to present the basic topics in the mathematical analysis of functions of several variables. Expected learning outcomes Understanding of the subjects of the course and computational skill.
Delivery modes Theoretical lessons: Texts, readings, handouts and other learning resources The following lists collects some textbooks covering the topics of the course. Assessment and grading criteria The goal of the exam is to test the knowledge of the barutello on the topics included in the official program of the course and to verify the computational and theoretical skills in solving problems.
Programma definitivo per l’A.