The aim of the course is to teach differential and integral calculus in more variables and the grounding of ordinary differential equations and functions of several variables, numeriucal series and series of functions.
The main objective of the course is to provide students tools for differential and integral calculus and methods for numerical integration for Cauchy problems and for definite integrals.
Double and triple integrals; changes of variable in multiple integrals: polar, cylindrical, spherical coordinates. Rotations and expansions. Curvilinear integrals of scalar functions. Length of a curve, Gauss-Green formulas. Surfaces, surface area, surface integrals. System of linear differential equations, Cauchy problem, numerical methods, numerical series and series of functions.
Lessons and tutorials in classroom.
Fusco N., Marcellini P., Sbordone C., Analisi Matematica 2, Liguori, 1996;
Parodi F., Appunti sulle serie
Zolezzi T., Analisi Matematica e calcolo numerico, CLU, Genova
Ricevimento: 2 hours every week
MARCO BARONTI (President)
FRANCO PARODI
DANILO PERCIVALE
September 2016
MATHEMATICAL ANALYSIS 2
Written an oral examination.
Prerequisites: Mathematical analysys 1
