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Università degli Studi di Parma Università degli Studi di Parma
University of Parma
Course catalogue
Università degli Studi di Parma
course catalogue

MATHEMATICAL ANALYSIS AB
cod. 13100

borrowed from Corso di TIPO in CDS 0241 - ANALISI MATEMATICA AB - cod. 13100
Academic year 2008/09
1° year of course - First semester
Professor
Academic discipline
Analisi matematica (MAT/05)
Field
Matematica, informatica e statistica
Type of training activity
Basic
81 hours
of face-to-face activities
9 credits
hub:
course unit
in - - -
lectures timetable unavailable
exam calls
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Learning objectives

<br /><br />Provide some essential mathematical tools.

Prerequisites

<br /><br />"Precorso" (basic arithmetics, algebra, trigonometry, elementary functions).

Course unit content

<br /><br />Real numbers: inequalities, absolute value, distance; complex numbers: properties, modulus, algebraic, trigonometric and exponential forms, powers and roots. <br />Functions: continuous functions (definition, properties, theorems), limits (definition, properties, theorems), sequences (fundamental properties). <br />Derivatives: definition, properties, theorems, geometric interpretation, Taylor formula, algebra of the infinitesimals, primitives. <br />Integrals: indefinite, definite, fundamental theorems, integration methods. <br />Series: definition, properties, convergence criteria.

Full programme

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Bibliography

<br /><br />"Precorso": E. Acerbi, G. Buttazzo: Matematica preuniversitaria di base, Pitagora 2003.<br />Lessons: E. Acerbi, G. Buttazzo: Analisi matematica ABC vol.1, Pitagora 2003.

Teaching methods

<br /><br />Final written exam (partially multiple choice) followed by oral exam.

Assessment methods and criteria

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Other information

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