At the end of the course, students will be able to apply the main ideas and topics of the differential and integral calculus of several variables to chemistry, physics, mechanics, materials science, and, moreover, to computer science, electronics circuits and energetic processes.
The purpose of the course is to give a first development of the elementary notions of calculus of one variable, in the setting of the n-dimensional Euclidean spaces. More precisely, the course will cover the following main topics: limits and continuity of functions between n-dimensional Euclidean spaces, differential calculus an applications, approximation of functions by Taylor series and applications, Lebesgue measure and integral on domains, curves and surfaces and, finally, basic notions on Ordinary Differential Equations and solution techniques for some kind of first and second order ODE.
- Teacher's lecture notes
- Supplementary text for more insights on argument not necessarily in program: M.Bramanti, "Metodi di Analisi Matematica per l'Ingegneria", Società Editrice Esculapio, Bologna, Luglio 2017
- M.Bramanti, “Esercitazioni Analisi Matematica 2”, Progetto Leonardo - Edizioni Esculapio, Bologna, 2012