Mathematical analysis 1 (2006/2007)

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Teaching is organised as follows:
Unit Credits Academic sector Period Academic staff
Modulo base 6 MAT/05-MATHEMATICAL ANALYSIS 1° Q - solo 1° anno, 2° Q Giandomenico Orlandi
Modulo avanzato 3 MAT/05-MATHEMATICAL ANALYSIS 3° Q Marco Squassina

Learning outcomes

Module: Modulo base
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Properties of the system of real numbers. Sequences and series of real numbers. Limits. Continuous functions. Differential calculus in one variable. Integration of functions in one variable.


Module: Modulo avanzato
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Completeness of the system of the real numbers. Cauchy sequences. Compactness for sequences and the Bolzano theorem. Fixed point equations. Newton-Raphson method. Introduction to ordinary differential equations of first order. Separation of variables. Linear equations.

Syllabus

Module: Modulo base
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Module: Modulo avanzato
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Assessment methods and criteria

Module: Modulo base
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Module: Modulo avanzato
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Reference books
Author Title Publisher Year ISBN Note
Conti F. et al. Analisi Matematica, teoria e applicazioni McGraw-Hill, Milano 2001 8838660026
James Stewart Calcolo: funzioni di una variabile (Edizione 1) Apogeo 2001 887303747X

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