MATHEMATICAL ANALYSIS I A - E

The aim of the course is to give students the basic concepts of calculus I for one real variable functions and problem-solving skills. Students will learn to read, write and speak the language of mathematics and to apply the tools of calculus to a variety of problems coming from mathematics and engineering disciplines.

SET THEORY. REAL NUMBERS. COMPLEX NUMBERS. METRIC SPACES. SEQUENCES. LIMIT OF FUNCTIONS. CONTINUOUS FUNCTIONS. DERIVATIVES. SERIES. PRIMITIVES. INTEGRALS.

Theory:

1. M.Bertsch, R.Dal Passo, L.Giacomelli, Analisi Matematica, McGraw-Hill.

2. J.P. Cecconi, G.Stampacchia, Analisi Matematica, 1° volume, Liguori.

Exercises:

3. M.Bramanti, Esercitazioni di Analisi Matematica 1, Progetto Leonardo, Esculapio.

4.T.Caponnetto, G.Catania, Esercizi di Analisi Matematica, Culc.

5. J.P.Cecconi, G.Stampacchia, Esercizi di Analisi Matematica, 1° volume, Liguori.

6. S Salsa, A, Squellati, Esercizi di Matematica 1, Zanichelli.