Giovanna BIMONTE | MATEMATICA PER L'ECONOMIA

cod. 0212700117

MATEMATICA PER L'ECONOMIA

	0212700117
	DIPARTIMENTO DI SCIENZE AZIENDALI - MANAGEMENT & INNOVATION SYSTEMS
	EQF6
	BUSINESS MANAGEMENT
	2017/2018

CURRICULUM ECONOMIA E GESTIONE DELLE IMPRESE

	OBBLIGATORIO
	YEAR OF COURSE 1
	YEAR OF DIDACTIC SYSTEM 2014
	PRIMO SEMESTRE

TEACHING UNITS

	SSD	CFU	HOURS	ACTIVITY	TYPE OF ACTIVITY
	SECS-S/06	10	60	LESSONS	BASIC COMPULSORY SUBJECTS

PROFESSORS

	MARIA RUSSOLILLO T Curriculum
	GIOVANNA BIMONTE Curriculum

	Objectives
	KNOWLEDGE AND UNDERSTANDING: THE GRADUATE 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. ON THE BASIS OF THE ACQUIRED TECHNIQUES AND THE QUANTITATIVE MODELS MOST FREQUENTLY USED, HE WILL BE ABLE TO FACE PROBLEMS OF BUSINESS NATURE. APPLYING KNOWLEDGE AND UNDERSTANDING: THE GRADUATE WILL BE ABLE TO USE THE MATHEMATICAL TOOLS INDISPENSABLE FOR THE UNDERSTANDING OF THE ECONOMIC-QUANTITATIVE THEMES DEALT IN THE OTHER DISCIPLINES.

KNOWLEDGE AND UNDERSTANDING:
THE GRADUATE 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. ON THE BASIS OF THE ACQUIRED TECHNIQUES AND THE QUANTITATIVE MODELS MOST FREQUENTLY USED, HE WILL BE ABLE TO FACE PROBLEMS OF BUSINESS NATURE.
APPLYING KNOWLEDGE AND UNDERSTANDING:
THE GRADUATE WILL BE ABLE TO USE THE MATHEMATICAL TOOLS INDISPENSABLE FOR THE UNDERSTANDING OF THE ECONOMIC-QUANTITATIVE THEMES DEALT IN THE OTHER DISCIPLINES.

	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.

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
	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.

	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.

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
	T. M. APOSTOL - MATHEMATICAL ANALYSIS. SECOND EDITION, ADDISON-WESLEY S. LANG - INTRODUCTION TO LINEAR ALGEBRA. SPRINGER-VERLAG

	More Information
	LECTURE NOTES AND EXERCISES BY THE TEACHER

BETA VERSION Data source ESSE3 [Ultima Sincronizzazione: 2019-05-14]

Giovanna BIMONTE | MATEMATICA PER L'ECONOMIA