to be able to use the mathemtics presented in the course.

course Ist. mat. A or equivalent.

differential calculus in one and more variables and basic notions in probability and statistics.

Calcolo. Teoria e applicazioni
F. Conti, Mc Graw Hill
Metodi Matematici e Statistici nelle Scienze della Terra.
Volume I - Argomenti istituzionali,
A. Buccianti – F. Rosso – F. Vlacci, Liguori Editore

Metodi Matematici e Statistici nelle Scienze della Terra.
Volume II - Sviluppi e Applicazioni,
A. Buccianti – F. Rosso – F. Vlacci, Liguori Editore

Definite integrals. Riemann integral. Primitive functions. Indefinite integral. Fundamental theorem of integral calculus. Integration methods. Study of the graph of a function. Fundamentals of two variables. Limits of functions of two variables. Continuity, partial derivatives and directional derivatives. Gradient vector. Tangent plane to the graph of a function of two variables. Critical points. Partial derivatives of higher order. Scwarz theorem. Hessian matrix and Hessian determinant. Local maxima and minima. Saddle points. Taylor polynomial. Curvilinear and double integrals of functions in two variables. Possible applications to the study of differential equations related to basic physical models. Basic notions of Probability and Statistics.

lectures

.No lectures recorded

written and oral test