# Matematica | DIFFERENTIAL EQUATIONS

## Matematica DIFFERENTIAL EQUATIONS

 0512300025 DIPARTIMENTO DI MATEMATICA MATHEMATICS 2013/2014

 YEAR OF COURSE 3 YEAR OF DIDACTIC SYSTEM 2010 SECONDO SEMESTRE
SSD CFU HOURS ACTIVITY TYPE OF ACTIVITY MAT/05 6 48 LESSONS COMPULSORY SUBJECTS, CHARACTERISTIC OF THE CLASS
 ANNA CANALE T
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.

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.