University of Rome Tor Vergata

Old syllabus:

Benedetto Scoppola(2011-2015)

Differential and integral calculus for real functions: real and complex numbers; elementary real functions and their inverse: polynomial, exponential, logarithm, trigonometric etc.; concept of limit, limits of indefinite forms; continuity, properties of continuous functions, uniform continuity; derivatives, maxima and minima, the graph of a function; De L 'Hopital's Rule; Taylor expansions; antiderivatives, integrals; improper integrals; series; elementary differential equations of first and second order.
Introduction to multivariable calculus: continuity; differentiation, directional derivatives, gradient; higher order differentiations, Hessian matrix.

Text book: Tom M. Apostol; Calculus Vol.1, second edition; John Wiley & Sons.

Alfonso SORRENTINO (2016-17)

Lecturers:

Tutor:

Differential and integral calculus for real functions: real and complex numbers; elementary real functions and their inverse: polynomial, exponential, logarithm, trigonometric etc.; concept of limit, limits of indefinite forms; continuity, properties of continuous functions, uniform continuity; derivatives, maxima and minima, the graph of a function; De L 'Hopital's Rule; Taylor expansions; antiderivatives, integrals; improper integrals; series; elementary differential equations of first and second order. Introduction to multivariable calculus: continuity; differentiation, directional derivatives, gradient; higher order differentiations, Hessian matrix.

Textbook: Tom M. Apostol: Calculus Vol.1, second edition; John Wiley & Sons, (1974).

Claudio Canuto, Anita Tabacco: Mathematical Analysis I-Springer International Publishing, UNITEXT 84, (2015).

Roberto LONGO (2017-18)