Part2

A.A. 1998/99

Lecturer: Francesco Serra Cassano
 

Programme

Axioms for natural and real numbers. Topology on real number.
Sequences and series of real numbers.
Limits of functions and continuous functions on a subset of real numbers. Uniform continuity.
Riemann integral.
Global properties of a function by the derivative
Links between integration and differentiation.
Taylor's formula and serie.
Complements.
 

Reference texts

E. ACERBI - G. BUTTAZZO, Primo corso di Analisi Matematica, Pitagora, Bologna, 1997.

R.A. ADAMS, Calcolo Differenziale 1, Casa Editrice Ambrosiana,
Milano, 1992.

F.CONTI,  Calcolo, McGraw-Hill, Milano, 1993.

E.GIUSTI,  Esercizi e Complementi di Analisi Matematica -Volume1, Bollati-Boringhieri,Torino, 1991