Università Roma Tre

DOMAINS IN THE PLANE AND IN THE SPACE. DEFINITION OF FUNCTIONS WITH MANY VARIABLES. SETS OF DEFINITION, LIMITS, CONTINUITY. PARTIAL DERIVATIVES. MAXIMUM AND MINIMUM RELATIVE.
DEFINITIONS OF THE INTEGRALS IN THE PLANE AND IN THE SPACE. NORMAL SETS AND REDUCTION FORMULAS. CHANGE OF VARIABLES : POLAR COORDINATES, SPHERICAL COORDINATES AND CYLINDRICAL COORDINATES.
LENGHT OF A CURVE. INTEGRAL ALONG A CURVE. AREA OF A SURFACE. INTEGRAL ON A SURFACE. DIFFERENTIAL FORMS IN 2 OR 3 VARIABLES. INTEGRATION OF A DIFFERENTIAL FORM ALONG A CURVE.
DIFFERENTIAL EQUATIONS. CAUCHY PROBLEM. EXISTENCE AND UNICITY THEOREM. SEPARATION OF VARIABLES. LINEAR EQUATIONS OF FIRST AND SECOND ORDER.

PISKUNOV N. S. CALCOLO DIFFERENZIALE E INTEGRALE, 2 VOL. EDITORI RIUNITI