Loredana CASO | PARTIAL DIFFERENTIAL EQUATIONS
Loredana CASO PARTIAL DIFFERENTIAL EQUATIONS
cod. 0522200007
PARTIAL DIFFERENTIAL EQUATIONS
| 0522200007 | |
| DIPARTIMENTO DI MATEMATICA | |
| EQF7 | |
| MATHEMATICS | |
| 2021/2022 |
| YEAR OF COURSE 1 | |
| YEAR OF DIDACTIC SYSTEM 2018 | |
| AUTUMN SEMESTER |
| SSD | CFU | HOURS | ACTIVITY | |
|---|---|---|---|---|
| MAT/05 | 6 | 48 | LESSONS |
| Objectives | |
|---|---|
| THE COURSE AIMS TO PROVIDE AN OVERVIEW OF THE CLASSICAL THEORY OF PARTIAL DIFFERENTIAL EQUATION. 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. |
| 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 | |
|---|---|
| LA VERIFICA DELL’APPRENDIMENTO AVVIENE ATTRAVERSO UNA PROVA ORALE E PREVEDE UNA EVENTUALE PROVA SCRITTA, AD INTEGRAZIONE DELLA PROVA ORALE. IN PARTICOLARE, SULLA BASE DELLE METODOLOGIE, DEGLI STRUMENTI E DEI CONTENUTI IMPARTITI DURANTE LE LEZIONI, LO STUDENTE DEVE DIMOSTRARE DI ESSERE IN GRADO DI: COMPRENDERE IL PROBLEMA, TROVARNE LA CORRETTA INTERPRETAZIONE MATEMATICO-QUANTITATIVA, RICONOSCERE LE METODOLOGIE APPLICABILI, SVILUPPARE IL CONTESTO DI CALCOLO APPROPRIATO, COMPRENDERE LE RISPOSTE DEDOTTE DAL METODO E LE SUE INFERENZE. |
| Texts | |
|---|---|
| 1. LAWRENCE C. EVANS, PARTIAL DIFFERENTIAL EQUATIONS, AMERICAN MATHEMATICAL SOCIETY, 2002. 2. FRITZ JOHN, PARTIAL DIFFERENTIAL EQUATIONS, SPRINGER VERLAG, 1991. |
| More Information | |
|---|---|
| LORCASO@UNISA.IT |
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