italian version

Aims :

1) give to the students the main concepts of multidimensional calculus and and let them appropriate of their applications; 2) illustrate the notion of complex functions of a complex variable; 3) define Laplace transform and use its main properties to solve differential equations.

Topics :

1) real functions of 2 and 3 real variables; 2) partial derivatives, differentials and directional derivatives; 3) Taylor’s series; 4) extremi of a function of several variables (also conditional ones) 5) surface and space integrals; 6) vector field and their properties; 6) curves and surfaces (also parametric representation); 7) integrals over curves and surfaces; 8) gradient, divergence, rotation; Gauss-Green and Stokes theorems; 9) complex functions of one complex variable; 10) Laplace transform and its main properties; 11) Laplace anti transform; 12) Laplace transform as a tool for differential equations.

Textbooks :

R.A. Adams, "Calcolo differenziale 2", Casa Editrice Ambrosiana

Exam :

Written essay (divided into two parts for those attending the lessons) followed by oral exam.

Tutorial Session :

Every week and moreover according to the students’ requests.