Massimo Bergamini, Anna Trifone, Graziella Barozzi: Corso base blu di Matematica. Volumi 3, 4 e 5.
Written and oral
SET OF REAL NUMBERS: Operations with real numbers, functions and their domain.
GEOMETRY AND TRIGONOMETRY: trigonometric functions and their inverse form; triangle theorems; rect; parabola; ellips; hyperbole; circumference.
REAL FUNCTIONS OF REAL VARIABLE: operations between functions; function study;
DIFFERENTIAL CALCULUS: first and second derivatives and their applications on study of a function; operations with derivatives.
INTEGRAL CALCULUS: integrative methods; calculus of areas by integral calculus; partial differential equations; Chauchy’s problems.