The aim of teaching is to provide theoretical skills and solving techniques in the field of calculus with the aim to apply them in physical or engineering courses. In particular, the target will be to develop skills about power and Fourier expansion of functions, differential calculus and integration of real functions of two or more real variables, solutions of ordinary differential equations and integration on curves or surfaces.
Frontal teaching with classroom exercises.
[1] N. Fusco, P. Marcellini e C. Sbordone, Elementi di Analisi Matematica due – Versione semplificata per i nuovi corsi di laurea, Liguori Editore, 2001 – ISBN: 9788820731373
[2] M. Bramanti, C. D. Pagani e S. Salsa, Analisi matematica 2, Zanichelli, 2009 – ISBN: 9788808122810
[3] P. Marcellini e C. Sbordone, Esercitazioni di Analisi matematica Due, Zanichelli, 2017 – Prima parte ISBN: 9788808220707 e Seconda parte ISBN: 9788808191458
[4] S.Salsa e A. Squellati, Esercizi di Analisi matematica, Zanichelli, 2011 – Volume 2 ISBN: 9788808218964
Other textbooks
[5] N. Fusco, P. Marcellini e C. Sbordone, Lezioni di analisi matematica due, Zanichelli, 2020 – ISBN: 9788808520203
English textbooks
[i] A. Friedman, Advanced Calculus, Dover Publications, 1999.
[ii] R. Wrede, M. R. Spiegel, Advanced Calculus Third Edition, Schaum's Outline Series, McGraw-Hill, 2010.
[iii] R. A. Adams, C. Essex, Calculus: A complete course - 7th ed., Pearson, 2010.