# Matematica | FUCNTION THEORY

## Matematica FUCNTION THEORY

 0512300023 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 OPTIONAL SUBJECTS
 LOREDANA CASO T
Objectives
KNOWLEDGE AND UNDERSTANDING: THE COURSE IS DEDICATED TO THE DEVELOPMENT OF THE THEORY OF CHARACTERISTICS, OF FUNDAMENTAL SOLUTIONS AND GREEN'S FUNCTIONS IN THE RESOLUTION OF SOME PDE.
ABILITY TO APPLY KNOWLEDGE AND UNDERSTANDING: ONE OF THE OBJECTIVES OF THE COURSE IS TO MAKE THE STUDENT ABLE TO RECOGNIZE AND RANK A PDE. IN PARTICULAR INSTRUMENT WILL BE PROVIDED FOR THE RESOLUTION OF CERTAIN TYPES OF PDE. ANOTHER AIMS IS TO MAKE THE STUDENT ABLE TO ANALYZE AND OPERATE THE CLASSICAL THEORY OF PDE.
MAKING JUDGEMENTS: STUDENTS ARE GUIDED LEARN CRITICALLY AND RESPONSIBLE THAT IS EXPLAINED TO THEM AND IMPROVE THEIR JUDGEMENT SKILLS THROUGH THE STUDY OF TEACHING MATERIALS.
COMMUNICATION SKILLS: THIS COURSE WILL HELP THE STUDENT'S ABILITY TO CLEARLY EXPOSE THE KNOWLEDGE ACQUIRED.
LEARNING SKILLS: THE COURSE WILL GUIDE STUDENTS TOWARD DEVELOPING THOSE CAPABILITIES NECESSARY TO ENRICH LEARNING ON THEIR OWN SKILLS AND TO APPLY THESE SKILLS TO OTHER TEACHINGS OF THE COURSE OF STUDY
Prerequisites
BASIC TOPICS OF THE THEORY OF ORDINARY DIFFERENTIAL EQUATIONS, AND THE THEORY OF MEASURE AND INTEGRATION FOR FUNCTIONS OF SEVERAL VARIABLES.
Contents
PARTIAL DIFFERENTIAL EQUATIONS AND THEIR CLASSIFICATION. SOME PDE ELEMENTARY SOLVABLE. INTRODUCTION TO THE METHOD OF CHARACTERISTICS AND APPLICATIONS TO QUASILINEAR PDE. LAPLACE'S EQUATION. HEAT EQUATION. WAVE EQUATION.
Teaching Methods
LECTURES
Verification of learning
ORAL EXAMINATION
Texts
1. LAWRENCE C. EVANS, PARTIAL DIFFERENTIAL EQUATIONS, AMERICAN MATHEMATICAL SOCIETY, 2002.
2. FRITZ JOHN, PARTIAL DIFFERENTIAL EQUATIONS, SPRINGER VERLAG, 1991.