25907 - Mathematical Analysis 3 (2017/2018)

General information

25907 - Mathematical Analysis 3 (An3, 7 CFU), second semester, years: 2° LT.

Course content

Implicit functions, Dini theorem, local invertibility. Notion of sigma-algebra and measure. Lebesgue integral and theorems of convergence under sign of integral. Riesz extension of Riemann integral for continuous functions with compact support. Lebesgue measurable sets and their measure. Fubini theorem. Integrability criteria. Integrals depending by a parameter. Curves and surfaces; length and area; integration on curves and surfaces. Differential forms of degree 1; integration of 1-differential forms on oriented curves; closed and exact 1-differential forms.

Language

Italian

Teacher

Ada Aruffo

Other teachers

Giovanni Alberti

Teaching style

In presence

Attendance

Suggested