Chiara NICOTERA | MATHEMATICS 2
Chiara NICOTERA MATHEMATICS 2
cod. 0512700009
MATHEMATICS 2
| 0512700009 | |
| DEPARTMENT OF CHEMISTRY AND BIOLOGY "ADOLFO ZAMBELLI" | |
| EQF6 | |
| ENVIRONMENTAL SCIENCES | |
| 2017/2018 |
| OBBLIGATORIO | |
| YEAR OF COURSE 2 | |
| YEAR OF DIDACTIC SYSTEM 2016 | |
| PRIMO SEMESTRE |
| SSD | CFU | HOURS | ACTIVITY | |
|---|---|---|---|---|
| MAT/05 | 5 | 40 | LESSONS | |
| MAT/05 | 1 | 8 | EXERCISES |
| Objectives | |
|---|---|
| - ACQUIRING SKILLS TO FORMALISE PROBLEMS. - ABILITY TO SOLVE MATHEMATICAL PROBLEMS. - KNOWING HOW TO READ BACK THE FORMAL SOLUTIONS IN THE REAL WORLD. - KNOWLEDGE OF THE MAIN TECHNIQUES IN THE STUDY OF MATHEMATICAL FUNCTIONS AND LINEAR ALGEBRA. |
| Prerequisites | |
|---|---|
| IN ORDER TO UNDERSTAND AND KNOW HOW TO APPLY THE TOPICS COVERED IN THE COURSE, IT IS NECESSARY TO PASS THE PRE-EXAMINATION OF MATEMATICA I |
| Contents | |
|---|---|
| 1. DERIVATIVES. RE-ESTABLISH THE DEFINITION OF DERIVATIVE AND DERIVATIVE CALCULATIONS. TAYLOR SERIES DEVELOPMENT AND APPLICATIONS. 2. INTEGRATIONS. PRIMITIVE OF A FUNCTION. INTEGRAL INDEFINITE. INTEGRATION RULES. INTEGRAL DEFINED. THEOREM OF FUNDAMENTAL CALCULUS. INTEGRAL GENERALIZED. APPLICATIONS. 3.ORDINARY DIFFERENTIAL EQUATIONS. FIRST ORDER DIFFERENTIAL EQUATIONS WITH SEPARABLE VARIABLES. DIFFERENTIAL EQUATIONS OF THE FIRST LINEAR ORDER. THE CAUCHY PROBLEM. LINEAR DIFFERENTIAL EQUATIONS N ORDER TO CONSTANT LOADS. BERNOULLI'S DIFFERENTIAL EQUATIONS. APPLICATIONS. |
| Teaching Methods | |
|---|---|
| THIS COURSE CONSISTS ON THEORETICAL LESSONS AND EXERCITATIVE LESSONS. DURING THEORETICAL LESSONS STUDENTS LEARN BASIC NOTIONS. DURING EXERCITATIVE LESSONS STUDENT LEARN HOW THE GAINED THEORETICAL KNOWLEDGE MAY BE USED TO SOLVE SIMPLE PROBLEMS. |
| Verification of learning | |
|---|---|
| THE ACHIEVEMENT OF THE OBJECTIVES OF THE COURSE IS CERTIFIED BY PASSING AN EVALUATION EXAM AND THE MARKS ARE OUT OF THERTY. THE EXAM PROVIDES A WRITTEN TEST AND AN ORAL EXAM. THE WRITTEN TEST IS PRELIMINARY TO THE ORAL TEST. THE TWO-HOUR WRITTEN EXAM CONSISTS OF EXERCISES RELATING TO THE COURSE TOPICS AND IS CONSIDERED TO BE OVERCOME WITH THE ACHIEVEMENT OF A PREDETERMINED MINIMUM SCORE. THE ORAL TEST CONSISTS OF AN INTERVIEW WITH QUESTIONS AND DISCUSSION ON THE THEORETICAL AND METHODOLOGICAL CONTENTS INDICATED IN THE TEACHING PROGRAM. |
| Texts | |
|---|---|
| 1. MATEMATICA. COMPRENDERE E INTERPRETARE FENOMENI DELLE SCIENZE DELLA VITA. V. VILLANI, G. GENTILI MCGRAWHILL 2. MATEMATICA PER LE SCIENZE DELLA VITA. D. BENEDETTO, M. DEGLI ESPOSTI, C. MAFFEI. CASA EDITRICE AMBROSIANA. 3. INTRODUCTION TO APPLIED MATHEMATICS FOR ENVIORENMENTAL SCIENCE. D.F. PARKHURST SPRINGER |
| More Information | |
|---|---|
| CNICOTERA@UNISA.IT |
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