Giovanna BIMONTE | Mathematics for Economics
Giovanna BIMONTE Mathematics for Economics
cod. 0212400006
MATHEMATICS FOR ECONOMICS
| 0212400006 | |
| DIPARTIMENTO DI SCIENZE ECONOMICHE E STATISTICHE | |
| EQF6 | |
| ECONOMICS | |
| 2017/2018 |
| OBBLIGATORIO | |
| YEAR OF COURSE 1 | |
| YEAR OF DIDACTIC SYSTEM 2016 | |
| PRIMO SEMESTRE |
| SSD | CFU | HOURS | ACTIVITY | |
|---|---|---|---|---|
| SECS-S/06 | 10 | 60 | LESSONS |
| Objectives | |
|---|---|
| KNOWLEDGE AND UNDERSTANDING: THE STUDENTS WILL BE ABLE TO KNOW THE FUNDAMENTAL NOTIONS OF LINEAR ALGEBRA AND THE DIFFERENTIAL AND INTEGRAL CALCULUS AS WELL AS THE BASIC ELEMENTS OF THE OPTIMIZATION. APPLYING KNOWLEDGE AND UNDERSTANDING: THE STUDENTS WILL BE ABLE TO USE THE MATHEMATICAL TOOLS INDISPENSABLE FOR THE UNDERSTANDING OF THE ECONOMIC-QUANTITATIVE THEMES DEALT IN THE OTHER DISCIPLINES. MAKING JUDGEMENTS: THE STUDENTS WILL BE ABLE TO BE ABLE TO DEVELOP ANALYTICAL AND CRITICAL ABILITY WITH REGARD TO THE TOOLS AND TO THE DEVELOPED RULES. COMMUNICATION SKILLS: THE STUDENTS WILL BE ABLE TO BE ABLE TO ENUNCIATE AND TO DEMONSTRATE THEOREMS AND TO HOLD UP, IN CLEAR AND EFFECTIVE WAY, AN ORAL DISCUSSION WITH OPPORTUNE REFERENCES TO THE CONTENTS OF THE COURSE. LEARNING SKILLS: THE STUDENTS, ON THE BASE OF THE ACQUIRED TECHNIQUES, WILL HAVE TO BE ABLE TO FACE PROBLEMS OF ECONOMIC-FINANCIAL NATURE AND TO DEEPEN THEIR COMPETENCES THROUGH THE CONSULTATION OF PUBLICATIONS AND INFORMATIONS AVAILABLE FROM DATABASE OR ONLINE. |
| Prerequisites | |
|---|---|
| SET THEORETICAL NOTIONS. OPERATIONS ON SETS: INCLUSION, UNION, INTERSECTION, MUTUAL DIFFERENCE. COMPLEMENTARY SET. LOGICAL QUANTIFIERS: IMPLICATION, AXIOM, THEOREM, HYPOTHESIS, THESIS, PROOF. REAL NUMBERS. AXIOMS OF AN ORDERED FIELD ARITHMETIC OPERATIONS IN A FIELD INEQUALITIES IN AN ORDERED FIELD. ABSOLUTE VALUES NATURAL NUMBERS. INDUCTION. INTEGERS AND RATIONALS. BOUNDED SETS IN AN ORDERED FIELD. ROOTS. IRRATIONAL NUMBERS EUCLIDEAN SPACE R^2. PROBLEMS ON VECTORS IN R^2. DISTANCES. LINES AND LINE SEGMENTS. CIRCUMFERENCE AND PARABOLA EQUATION. THE GENERAL EQUATION OF A LINE. FUNCTION: BASIC DEFINITIONS. LINEAR, POWER, ABSOLUTE VALUE AND POLYNOMIAL FUNCTIONS. INCREASING AND DECREASING FUNCTIONS. POLYNOMIAL CALCULUS: SUM OF POLYNOMIALS, PRODUCT OF POLYNOMIALS AND COMPOSITION. POLYNOMIAL DIVISION. FACTORING POLYNOMIALS AND RUFFINI’S RULE. EQUATIONS AND INEQUALITIES. |
| Contents | |
|---|---|
| "ALGEBRA (15H - LEZIONI FRONTALI)" INTRODUCTORY ELEMENTARY NOTIONS. ELEMENTS OF SETS THEORY. ELEMENTS OF COMBINATORIAL ANALYSIS. NUMERICAL SETS. "ANALYSIS (20H - LEZIONI FRONTALI)": 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. "SERIES (5H - LEZIONI FRONTALI)". "FUNCTIONS OF MORE VARIABLES (20H - LEZIONI FRONTALI)". |
| Teaching Methods | |
|---|---|
| LESSONS, WORKING TEAMS, EXERCISES,DISCUSSIONS IN CLASSROOM, INTERACTION WITH TEACHING BY EMAIL. |
| Verification of learning | |
|---|---|
| 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 | |
|---|---|
| SIMON C. E L. BLUME - MATEMATICA GENERALE - EDIZIONI EGEA (2007). CAMBINI A. E L. MARTEIN - PREREQUISITI DI MATEMATICA GENERALE (2013) BREGA F. E G. MESSINEO ESERCIZI DI MATEMATICA GENERALE (5 VOLUMI) SUGGESTED READINGS TEACHING MATERIAL PROVIDED BY PROFESSOR |
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