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.
The course is developed in theory and exercises. An ingermediate test will be held.
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.