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