italian version

Aims :

Topics :

Vectors in the plane and space.The dot and the cross product.Matrices and determinants.Linear systems.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. Green's Theorem.Circulation and stokes' Theorem. Flux and the Divergence theorem.Power and Fourier Series.

Textbooks :

M.Bramanti,C.D.Pagani,S.Salsa Matematica,calcolo infinitesimale e algebra lineare Ed. Zanichelli

Exam :

Written and oral test.

Tutorial Session :

To agree to the beginning of the course.