# Matematica | DIFFERENTIAL EQUATIONS

## Matematica DIFFERENTIAL EQUATIONS

 0512300025 DIPARTIMENTO DI MATEMATICA EQF6 MATHEMATICS 2016/2017

 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
 LOREDANA CASO T
Objectives
THE COURSE AIMS TO PROVIDE AN OVERVIEW OF THE CLASSICAL THEORY OF ORDINARY DIFFERENTIAL EQUATIONS AND SYSTEMS, WITH PARTICULAR ATTENTION TO THE APPLICATIONS.

KNOWLEDGE AND UNDERSTANDING: THE COURSE IS DEDICATED TO THE DEVELOPMENT OF DIFFERENT ASPECTS RELATED TO THE STUDY OF DIFFERENTIAL EQUATIONS. ONE OF THE GOALS IS TO GET THAT STUDENT HAVE A GOOD LEVEL OF UNDERSTANDING AND KNOWLEDGE OF THE ISSUES ADDRESSED.

ABILITY TO APPLY KNOWLEDGE AND UNDERSTANDING: ONE OF THE OBJECTIVES OF THE COURSE IS TO GET THAT THE STUDENT DEVELOPMENT CAPACITY THAT AID TO FACE PROBLEMS THAT MEETS IN THE COURSE AND TO APPLY THE RESULTS STUDIED

Prerequisites
BASIC TOPICS OF MATHEMATICAL ANALYSIS COURSES OF THE FIRST TWO YEARS.
BASIC TOPICS OF THE THEORY OF ORDINARY DIFFERENTIAL EQUATIONS.
Contents
BASIC CONCEPTS AND THEOREMS OF ORDINARY DIFFERENTIAL EQUATIONS. DEPENDENCE ON THE INITIAL DATA. AUTONOMOUS SYSTEMS. STABILITY. LINEARIZATION METHOD. APPLICATIONS:
MATHEMATICAL MODEL FOR THE GROWTH OF A POPULATION. MATHEMATICAL MODEL FOR THE LOGISTIC GROWTH. MATHEMATICAL MODEL FOR BIOCHEMICAL REACTIONS.
Teaching Methods
LECTURES
EXERCISES
Verification of learning
WRITTEN AND ORAL EXAMINATION
Texts
C.D.PAGANI - S.SALSA, ANALISI MATEMATICA 2, ZANICHELLI EDITORE
J.STEWART, CALCOLO: FUNZIONI DI PIÙ VARIABILI, APOGEO
F.CONTI - P.AQUISTAPACE - A.SAVOINI, ANALISI MATEMATICA. TEORIA E APPLICAZIONI, MCGRAW-HILL