The student must acquire knowledge of differential and integral calculus for functions of several variables.
Course Prerequisites
Differential and integral calculus in one variable.
Teaching Methods
Frontal lessons and exercises also in interactive mode and in groups.
Assessment Methods
Written test with exercises requiring short and extended answers and theory questions and oral test (optional). Maximum score without the oral exam: 28.
Texts
Carlo Domenico Pagani - Sandro Salsa, "Analisi Matematica 2", Zanichelli.
Other texts: Matematica 2", Bollati - Boringhieri. Gianni Gilardi, "Analisi due", McGraw - Hill Italia.
Contents
Differential equations. Metric spaces, continuity. Differential calculus in several variables. Free maxima and minima and convexity of functions in several variables. Measure and integration in several variables. Implicit functions and local invertibility. Constrained extrema and differential forms Applications to differential equations. Divergence and Stokes theorems.
