Università Roma Tre

Functions of two and three variables.
Regions in the plane and in the space. Set of definition, limits, continuity. Partial derivative. Differenziability.
Study of maximum and minimum of a function of 2 and 3 variables.
Integration.
Lenght of a curve. Curvilinear intgrals. Differential forms in 2 or 3 variables: closure.
Definition of integrals in the plane and in the space. Reduction formulas for normal sets. Change of variables: polar and
spherical coordinates. Cylindrical coordinates. Area of a surface. Integral on a surface.
Differential equations. Cauchy problem. Existence and unicity. Separetion of variables. First order linear equations. Second orderl linear equations.

N.S. Piskunov Calcolo differenziale e integrale Vol. I e Vol.II Editori riuniti