Matematica | DIFFERENTIAL EQUATIONS

cod. 0512300025

DIFFERENTIAL EQUATIONS

	0512300025
	DIPARTIMENTO DI MATEMATICA

	MATHEMATICS
	2013/2014

CURRICULUM MATEMATICA AD INDIRIZZO GENERALE-DIDATTICO

	YEAR OF COURSE 3
	YEAR OF DIDACTIC SYSTEM 2010
	SECONDO SEMESTRE

TEACHING UNITS

	SSD	CFU	HOURS	ACTIVITY	TYPE OF ACTIVITY
	MAT/05	6	48	LESSONS	COMPULSORY SUBJECTS, CHARACTERISTIC OF THE CLASS

	Objectives
	THE COURSE DEALS WITH ARGUMENTS RELATED TO THE STUDY OF DIFFERENTIAL EQUATIONS. THE AIM IS TO REACH A GOOD LEVEL OF UNDERSTANDING AND KNOWLEDGE OF THE SUBJECTS AND TO BE ABLE TO APPLY THE METHODS AND THE RESULTS STUDIED TO DIFFERENT AREAS OF SCIENTIFIC AND ECONOMIC INTEREST. THE GOAL OF THE COURSE IS TO INDUCE THE STUDENTS TO DESCRIBE CLEARLY AND IN A COMPLETE WAY THE SUBJECTS STUDIED. ABILITY OF INDEPENDENT OPINIONS IS REQUIRED.

THE COURSE DEALS WITH ARGUMENTS RELATED TO THE STUDY OF DIFFERENTIAL EQUATIONS. THE AIM IS TO REACH A GOOD LEVEL OF UNDERSTANDING AND KNOWLEDGE OF THE SUBJECTS AND TO BE ABLE TO APPLY THE METHODS AND THE RESULTS STUDIED TO DIFFERENT AREAS OF SCIENTIFIC AND ECONOMIC INTEREST.
THE GOAL OF THE COURSE IS TO INDUCE THE STUDENTS TO DESCRIBE CLEARLY AND IN A COMPLETE WAY THE SUBJECTS STUDIED. ABILITY OF INDEPENDENT OPINIONS IS REQUIRED.

	Prerequisites
	GOOD KNOWLEDGE OF THE SUBJECTS CONTAINED IN THE COURSES ANALISI MATEMATICA I, II, III E IV.

	Contents
	ORDINARY DIFFERENTIAL EQUATIONS. LINEAR EQUATIONS. BOUNDARY VALUE PROBLEMS. METHODS TO SOLVE DIFFERENTIAL EQUATIONS. EXACT DIFFERENTIAL EQUATIONS. QUALITATIVE ANALYSIS OF SOLUTIONS. SYSTEMS OF DIFFERENTIAL EQUATIONS. PARTIAL DIFFERENTIAL EQUATIONS.

	Teaching Methods
	LECTURES.

	Verification of learning
	DEFENCE OF A WRITTEN PAPER AND ORAL EXAMINATION.

	Texts
	N. FUSCO - P. MARCELLINI - C. SBORDONE, ELEMENTI DI ANALISI MATEMATICA II, LIGUORI EDITORE. N. FUSCO - P. MARCELLINI - C. SBORDONE, ANALISI MATEMATICA II, LIGUORI EDITORE. F. CONTI - P. AQUISTAPACE - A.SAVOINI, ANALISI MATEMATICA. TEORIA E APPLICAZIONI, MCGRAW-HILL LIBRI ITALIA. A.BACIOTTI - F.RICCI, LEZIONI DI ANALISI MATEMATICA 2, EDITRICE LEPROTTO & BELLA. P. MARCELLINI - C. SBORDONE, ESERCITAZIONI DI ANALISI MATEMATICA, VOLUME II, PARTE PRIMA, LIGUORI EDITORE. S.SALSA - A.SQUELLATI, ESERCIZI DI ANALISI MATEMATICA II, PARTE TERZA, EQUAZIONI DIFFERENZIALI ORDINARIE, ZANICHELLI ED.. LAURENCE C. EVANS, PARTIAL DIFFERENTIAL EQUATIONS, GRADUATE STUDIES IN MATHEMATICS, VOL.19, AMERICAN MATHEMATICAL SOCIETY.

Texts

N. FUSCO - P. MARCELLINI - C. SBORDONE, ELEMENTI DI ANALISI MATEMATICA II, LIGUORI EDITORE.
N. FUSCO - P. MARCELLINI - C. SBORDONE, ANALISI MATEMATICA II, LIGUORI EDITORE.
F. CONTI - P. AQUISTAPACE - A.SAVOINI, ANALISI MATEMATICA. TEORIA E APPLICAZIONI, MCGRAW-HILL LIBRI ITALIA.
A.BACIOTTI - F.RICCI, LEZIONI DI ANALISI MATEMATICA 2, EDITRICE LEPROTTO & BELLA.
P. MARCELLINI - C. SBORDONE, ESERCITAZIONI DI ANALISI MATEMATICA, VOLUME II, PARTE PRIMA, LIGUORI EDITORE.
S.SALSA - A.SQUELLATI, ESERCIZI DI ANALISI MATEMATICA II, PARTE TERZA, EQUAZIONI DIFFERENZIALI ORDINARIE, ZANICHELLI ED..
LAURENCE C. EVANS, PARTIAL DIFFERENTIAL EQUATIONS, GRADUATE STUDIES IN MATHEMATICS, VOL.19, AMERICAN MATHEMATICAL SOCIETY.