Mathematical analysis C - (5 cfu)
|Prof. Alessandra Coscia||Tel. 0521.906953 -|
| ||E-mail. firstname.lastname@example.org|
Curves in two or three dimensions; parametrisation and representation; length of a curve; integral of a function on a curve.
Continuity for functions of several variables; differentiability and partialderivatives, directional derivatives, gradient vector, steepest ascent, estremal points; extremal points on a curve; constrained extrema.
Sequences and series of functions: pointwise, uniform, absolute and total convergence; criteria for power series.
Differential equations: existence and uniqueness theorem; linear differential equations of the first order.
Multiple integrals over normal and general domains.
Differential forms (or vector fields) and their integration (or work); exact and closed forms (or conservative and curl-free fields)
Analisi matematica AB
. Fusco – P. Marcellini – C. Sbordone, Elementi di Analisi Matematica 2, Liguori Editore, Napoli (2001
Ultimo aggiornamento: 14-08-2007