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.
Per la teoria:
1. M.Bertsch, R.Dal Passo, L.Giacomelli, Analisi Matematica, McGraw-Hill.
2. J.P. Cecconi, G.Stampacchia, Analisi Matematica, 1° volume, Liguori.
Per gli esercizi:
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.