italian version

Aims :

Topics :

Functions of several variables.Partial derivatives. Differentials.Linear approximation and tangent planes.Gradients and directional derivatives.
Implicit differentiation.Maxima and minima.Constrained extrema and lagrange multipliers.The double and the triple integrals.Integrals in polar,cylindrical and spherical coordinates.Differential Equations.Initial conditions.Separable differential equations.Linear first and second-order equations.Curves and Surfaces.Line integrals.Path independence. Exact differentials.

Textbooks :

M.Bramati,C.D.Pagani,S.Salsa, matematica,calcolo infinitesimale e Algebra lineare Zanichelli.

Exam :

Written and oral test.

Tutorial Session :

To agree to the beginning of the course.