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. C.D. Pagani, S. Salsa, Analisi Matematica, volume I, Zanichelli. 2. G. Emmanuele, Analisi Matematica I, Pitagora.
Per gli esercizi:
3. P. Marcellini, C. Sbordone, Esercitazioni di Matematica I, Liguori. 4. T.Caponnetto, G.Catania, Esercizi di Analisi Matematica, Culc.