Giovanna BIMONTE | MATHEMATICS
Giovanna BIMONTE MATHEMATICS
cod. 0212800001
MATHEMATICS
0212800001 | |
DIPARTIMENTO DI SCIENZE ECONOMICHE E STATISTICHE | |
EQF6 | |
STATISTICA PER I BIG DATA | |
2019/2020 |
OBBLIGATORIO | |
YEAR OF COURSE 1 | |
YEAR OF DIDACTIC SYSTEM 2018 | |
PRIMO SEMESTRE |
SSD | CFU | HOURS | ACTIVITY | |
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SECS-S/06 | 10 | 60 | LESSONS |
Objectives | |
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KNOWLEDGE AND UNDERSTANDING: THE AIM OF THE COURSE OF GENERAL MATHEMATICS IS TO PROVIDE STUDENTS WITH THE FUNDAMENTAL NOTIONS OF MATHEMATICAL ANALYSIS AND OPTIMIZATION. KNOWLEDGE AND LEARNING SKILLS: THE STUDENTS WILL ACQUIRE THE FUNDAMENTAL NOTIONS OF LINEAR ALGEBRA, THE DIFFERENTIAL AND INTEGRAL CALCULUS AS WELL AS THE BASIC ELEMENTS OF THE OPTIMIZATION. THIS TOOLS ARE INDISPENSABLE FOR THE UNDERSTANDING OF THE QUANTITATIVE THEMES DEALT IN THE OTHER DISCIPLINES. APPLYING KNOWLEDGE AND UNDERSTANDING: THE STUDENTS, ON THE BASE OF THE ACQUIRED TECHNIQUES, WILL HAVE TO BE ABLE TO FACE PROBLEMS OF OPTIMIZATIONS AND INTEGRATIONS, AT THE BASIS OF SEVERAL INSTRUMENTS PUT FORWARD IN THE OTHER DISCIPLINES. |
Prerequisites | |
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PREREQUISITES: IT IS RECOMMENDED THE KNOWLEDGE OF BASIC MATHEMATICAL ELEMENTS: REMARKABLE IDENTITIES, OPERATIONS WITH POLYNOMIALS, EQUATIONS AND INEQUALITIES OF I AND II DEGREE. EUCLIDEAN GEOMETRY: BASIC CONCEPTS AND GEOMETRIC LOCUS IN THE PLANE. |
Contents | |
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INTRODUCTORY ELEMENTARY NOTIONS. ELEMENTS OF SETS THEORY. ELEMENTS OF COMBINATORIAL ANALYSIS. NUMERICAL SETS. REAL FUNCTIONS OF REAL VARIABLE. LIMITS AND CONTINUITY OF REAL FUNCTIONS. SUCCESSIONS AND NUMERICAL SERIES. ELEMENTS OF LINEAR ALGEBRA. ELEMENTS OF DIFFERENTIAL CALCULUS. ELEMENTS OF INTEGRATION THEORY. FUNCTIONS OF MORE VARIABLES. LINEAR OPTIMIZATION |
Teaching Methods | |
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LESSONS, INDIVIDUAL WORK, WORKING TEAMS, EXERCISES,DISCUSSIONS IN CLASSROOM, INTERACTION WITH TEACHING BY EMAIL. |
Verification of learning | |
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BY THE END OF THE MODULE THE STUDENT NEEDS TO DO A FORMAL EXAMINATION. THE EXAM CONSISTS OF A WRITTEN TEST AND AN ORAL TEST, POSSIBLY TAKEN IN DIFFERENT DAYS AS WELL. WRITTEN TEST MUST TAKE PLACE PREVIOUSLY THAN THE ORAL TEST. THE MINIMUM SCORE IN BOTH TESTS IS 18/30. THE FINAL VALUATION IS GIVEN BY THE MEAN OF THE TWO SCORES. IN THE WRITTEN TEST STUDENTS SHOULD BE ABLE TO SOLVE SOME EXERCISES AND OBTAIN A SCORE AT LEAST OF 18/30. STUDENT SHOULD BE ABLE TO DEMONSTRATE AN UNDERSTANDING OF BASIC PROPERTIES, AND TO DEVELOP ANALYTICAL AND CRITICAL ABILITY WITH REGARD TO THE TOOLS AND THE DEVELOPED RULES. APPROVED POCKET CALCULATORS ARE ALLOWED. IT IS NOT POSSIBLE TO USE BOOKS, PAPERS, PC OR SMARTPHONE. IN THE ORAL TEST THE STUDENTS HAVE TO BE ABLE TO ENUNCIATE AND DEMONSTRATE THEOREMS AND TO HOLD UP, IN CLEAR AND EFFECTIVE WAY, AN ORAL DISCUSSION WITH OPPORTUNE REFERENCES TO THE CONTENTS OF THE COURSE. |
Texts | |
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ESSENTIAL MATHEMATICS FOR ECONOMIC ANALYSIS KNUT SYDSAETER, PETER HAMMOND, ARNE STRØM, ANDRÉS CARVAJAL |
More Information | |
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FREQUENCY OF THE COURSE IS HIGHLY RECOMMENDED, BUT NON-OBLIGATORY. IN THE COURSE STUDENT CAN ACT TOGETHER WITH THE PROFESSOR IN ORDER TO CLARIFY BOTH THEORETICAL AND PRACTICAL TOOLS AND PROBLEMS. STUDENTS CAN MADE SOME TEST SIMULATIONS FOR THE FINAL EXAM. |
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