20430008 - Mathematical Analysis IV

I. To acquire technics and methods regarding inverse and implicit functions in R^n with applications to constrained problems.
II. To acquire a good knowledge of the concepts and methods in the classical integration theory on R^n, and, in particular, on curves and surfaces in R^3 with corresponding applications in Physics.
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Fruizione: 20410586 AM220-ANALISI MATEMATICA 4 in Matematica L-35 R CHIERCHIA LUIGI,

Programme

Ordinary differential equations: existence and uniqueness; dependence on initial data. Qualitative analysis.
Riemann integration theory, including change of variables in integrals.
Curves, surfaces, flows. Differential forms and work. Integral theorems of vector calculus.

Core Documentation

Introduzione all’Analisi su R^𝑛

Giusti Analisi Matematica 2

Attendance

Attendance is optional and the understanding of the text adopted is sufficient for the full use of the course. Of course, attendance is desirable and STRONGLY recommended, as the interaction between teacher and students is a fundamental and unrepeatable teaching tool.

Type of evaluation

The evaluation is based on a written test and an oral exam. There are two written tests "in progress" which, in the event of a positive outcome, replace the final written test. Examples of tests of past years will be available on the web site dedicated to the course which will be constantly updated by the teacher.

Fruizione: 20410586 AM220-ANALISI MATEMATICA 4 in Matematica L-35 R CHIERCHIA LUIGI,