- M. Bramanti, C. Pagani, S. Salsa – Analisi matematica 2, Ed. Zanichelli- S. Salsa, A. Squellati – Esercizi di analisi matematica 2, Ed. Zanichelli- P. Marcellini, C. Sbordone – Analisi matematica due, Ed. Liguori- E. Giusti – Analisi matematica 2, Ed. Bollati BoringhieriFor “Series” subject- P. Marcellini, C. Sbordone – Analisi matematica uno, Ed. Liguori- E. Giusti – Analisi matematica 1, Ed. Bollati Boringhieri
Course program
-Series:General properties; geometric and harmonic series; series with positive terms; alternating series; convergence and divergence; convergence tests.-Differential calculus with several variables:Continuity and differentiability; higher order derivatives; optimization problems.-Integral calculus with several variables:Properties and calculation of double integrals; reduction methods and changes of variables; polar and Cartesian coordinates; introduction to triple integrals.-Vector-valued functions:Curves; arc length and line integrals; surfaces, parametric surfaces, normal vectors and tangent planes; vector fields; gradient, curl and divergence; introduction to the divergence theorem and to the curl theorem.-Differential equations (DE):General properties, separable variables DE, homogeneous and non-homogeneous DE, linear first order DE, linear second order DE, Cauchy problem.