MATHEMATICAL ANALYSIS D
cod. 13124

Academic year 2008/09
3° year of course - First semester
Professor
Academic discipline
Analisi matematica (MAT/05)
Field
A scelta dello studente
Type of training activity
Student's choice
45 hours
of face-to-face activities
5 credits
hub:
course unit
in - - -

Learning objectives

<br /><br />Touch some subjects not included in elementary courses. <br />Recover (in part) the mind-shaping value of the scientific method, by giving a detailed proof of every assertion.

Prerequisites

Analisi matematica AB, Analisi matematica C, Geometria

Course unit content

<br /><br />From Peano's axioms to the real numbers; induction; sequences; construction of the exponential function. <br />Sequences defined recursively (dynamical systems). <br />Metric spaces; sequences of functions. <br />Differential equations: existence, uniqueness, comparison and extension theorems, maximal existence, qualitative behaviour.

Full programme

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Bibliography

<br /><br />E. Acerbi, G. Buttazzo: Primo corso di analisi matematica, Pitagora 1999.<br />Some notes will be handed out on specific subjects.

Teaching methods

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Assessment methods and criteria

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Other information

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