Loredana CASO | DIFFERENTIAL EQUATIONS
Loredana CASO DIFFERENTIAL EQUATIONS
cod. 0512300025
DIFFERENTIAL EQUATIONS
0512300025 | |
DIPARTIMENTO DI MATEMATICA | |
EQF6 | |
MATHEMATICS | |
2017/2018 |
YEAR OF COURSE 3 | |
YEAR OF DIDACTIC SYSTEM 2010 | |
SECONDO SEMESTRE |
SSD | CFU | HOURS | ACTIVITY | |
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MAT/05 | 6 | 48 | LESSONS |
Objectives | |
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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 | |
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BASIC TOPICS OF MATHEMATICAL ANALYSIS COURSES OF THE FIRST TWO YEARS. BASIC TOPICS OF THE THEORY OF ORDINARY DIFFERENTIAL EQUATIONS. |
Contents | |
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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. LINEAR VIBRATIONS. |
Teaching Methods | |
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LECTURES EXERCISES |
Verification of learning | |
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THE EXAM IS DONE THROUGH A ORAL TEST AND PROVIDES A POSSIBLE WRITTEN TEST. IN PARTICULAR, ON THE BASIS OF METHODOLOGIES, TOOLS AND CONTENT TAUGHT IN CLASS, THE STUDENTS MUST DEMONSTRATE THAT THEY ARE ABLE TO: UNDERSTAND THE PROBLEM, FIND THE CORRECT MATHEMATICAL AND QUANTITATIVE INTERPRETATION, RECOGNIZING THE APPLICABLE METHODOLOGIES, DEVELOP THE CALCULATION CONTEXT APPROPRIATE, INCLUDE ANSWERS DEDUCED FROM THE METHOD AND ITS INFERENCES. |
Texts | |
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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 |
More Information | |
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LORCASO@UNISA.IT |
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