Mathematics - Compensatory Course

The Differential Calculus of Functions of Several Variables: Local,
constrained and absolute extremes.
The Definite Integral: An improper integral and its applications.
The Double and Triple Integrals: The integral over an interval. The
calculation of double and triple integrals over elementary areas. The
transformation of the double and triple integrals. Geometric applications.
A Contour and a Surface Integral: Contour integrals of the 1st and the 2nd
kind. Independence from the path of integration. Green’s theorem. Applications.
Surface integrals of the 1st and the 2nd kind. Gauss-Ostogradsky’s theorem.
Stokes’ theorem. Applications.