The aim of the course is to give further knowledge and tools of calculus, required for an adequate understanding of mathematical methods and models relevant for engineering, including probability and statistics.
scheda docente
materiale didattico
Functions of several variables; continuity; partial derivatives; local maxima and minima, Hessian matrix. Lagrange multipliers. Integration according to Riemann;
multiple integrals. Curvilinear curves and integrals; surfaces and surface integrals. Divergence theorem and curl theorem.
Programma
Taylor series and Fourier series. Ordinary differential equations: existence and local uniqueness; homogeneous and non-homogeneous linear ordinary differential equations.Functions of several variables; continuity; partial derivatives; local maxima and minima, Hessian matrix. Lagrange multipliers. Integration according to Riemann;
multiple integrals. Curvilinear curves and integrals; surfaces and surface integrals. Divergence theorem and curl theorem.
Testi Adottati
T. Apostol, Calculus, vol. 2, WileyBibliografia Di Riferimento
Paolo Marcellini, Carlo Sbordone, Esercitazioni di analisi matematica due - Volumi 1 e 2, Zanichelli, Milano, 2017.Modalità Erogazione
In calls we shall discuss the theory an apply it to exercisesModalità Frequenza
not compulsoryModalità Valutazione
The exam consists of a written test consisting on 3 to 5 exercises of the type discussed in class and a oral discussion to verify the ability to apply the concepts learned in class.