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.
teacher profile teaching materials
Local existence and uniqueness; homogeneous and non-homogeneous linear ordinary differential equations.
Equations with separable variables. Conservative equations in one dimension.
Programme
Ordinary Differential Equations:Local existence and uniqueness; homogeneous and non-homogeneous linear ordinary differential equations.
Equations with separable variables. Conservative equations in one dimension.
Core Documentation
T. Apostol, Calculus, vol. 2, WileyReference Bibliography
Paolo Marcellini, Carlo Sbordone, Esercitazioni di analisi matematica due - Volumi 1 e 2, Zanichelli, Milano, 2017.Type of delivery of the course
In calls we shall discuss the theory an apply it to exercisesAttendance
not compulsoryType of evaluation
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. teacher profile teaching materials
Functions of several variables; continuity; partial derivatives; local maxima and minima, Hessian matrix. Lagrange multipliers. INntegration according Riemann; multiple integrals. Curvilinear curves and integrals; surfaces and surface integrals. Divergence and curl theorems.
Programme
Taylor series and Fourier series. Ordinary differential equations: existence and local uniquenessl homogeneous and non-homogeneous linear ordinary differential equations.Functions of several variables; continuity; partial derivatives; local maxima and minima, Hessian matrix. Lagrange multipliers. INntegration according Riemann; multiple integrals. Curvilinear curves and integrals; surfaces and surface integrals. Divergence and curl theorems.
Core Documentation
T. Apostol, Calculus, vol. 2, WileyReference Bibliography
E. Giusti, Analisi Matematica 2, Bollati Boringhieri (terza edizione) T. Apostol, Calculus, vol. 2, Wiley Bertsch, Dal Passo, Giacomelli - Analisi Matematica, McGraw-HillAttendance
suggestedType of evaluation
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.