MATEMATICA PER L'ECONOMIA

Ciro D'APICE MATEMATICA PER L'ECONOMIA

0212700117
DIPARTIMENTO DI SCIENZE AZIENDALI - MANAGEMENT & INNOVATION SYSTEMS
EQF6
BUSINESS MANAGEMENT
2016/2017



OBBLIGATORIO
YEAR OF COURSE 1
YEAR OF DIDACTIC SYSTEM 2014
PRIMO SEMESTRE
CFUHOURSACTIVITY
1060LESSONS


Objectives
KNOWLEDGE AND UNDERSTANDING:
THE AIM OF THE COURSE IS TO GIVE AN INTRODUCTION TO THE CONCEPTS ("KNOWING") AND TO THE BASIC TECHNIQUES ("KNOW HOW") OF INFORMATION AND COMMUNICATION TECHNOLOGIES (ICT), TO PROVIDE STUDENTS WITH ADEQUATE MASTERY OF THE TERMINOLOGY,
OF THE HARDWARE AND SOFTWARE ARCHITECTURES, OF THE REPRESENTATION OF THE MAIN TYPES OF DATA AND OF THE OPERATION OF MODERN COMPUTERS, WHICH WILL BE USEFUL BOTH FOR THE CONTINUATION OF STUDIES AND FOR THEIR FUTURE WORK.
APPLYING KNOWLEDGE AND UNDERSTANDING:
STUDENTS WILL BE ABLE TO RECOGNIZE AND EVALUATE THE CAPABILITIES AND PERFORMANCE OF HARDWARE / SOFTWARE COMPONENTS OF A COMPUTER, SELECT THE APPROPRIATE METHOD OF REPRESENTATION OF THE MAIN TYPES OF DATA.
THE STUDENT WILL BE ABLE TO USE A RELATIONAL DBMS: BASIC TECHNIQUES FOR THE PROGRAMMING OF AN APPLICATION; CREATION AND MODIFICATION OF THE STRUCTURE AND PROPERTIES OF TABLES, PROPER DEFINITION OF DATA TYPES, DATA ENTRY IN TABLES, CREATING AND USING FORMS AND REPORTS; QUERY THE DATABASE WITH THE SQL LANGUAGE
PARTICULAR EMPHASIS IS PLACED ON THE APPLICATION, WHICH IS A FUNDAMENTAL ELEMENT OF THE COURSE AND THE FINAL EVALUATION.
AUTONOMY OF JUDGEMENT:
STUDENTS WILL BE ABLE TO CARRY OUT THE FIRST EVALUATIONS OF THE ADEQUATE HARDWARE / SOFTWARE SYSTEMS TO ACHIEVE THEIR SPECIFIC OBJECTIVES. THEY WILL HAVE KNOWLEDGE OF THE REAL POTENTIAL THAT A COMPUTER SYSTEM PROVIDES.
COMMUNICATION SKILLS:
STUDENTS WILL GAIN THE MASTERY OF BASIC COMPUTER SCIENCE TERMINOLOGY, REPRESENTATION OF DATA TYPES AND SOFTWARE TECHNOLOGIES, SO AS TO EFFECTIVELY USE A COMPUTER, USING AUTONOMOUSLY SOFTWARE TECHNOLOGIES AND APPLICATIONS STUDIED DURING THE COURSE.
LEARNING ABILITY
THE COURSE AIMS TO ENTICE STUDENTS TO THE PROCESS OF CONTINUING EDUCATION (LIFELONG LEARNING), THAT IS, THE PRACTICE OF A CONTINUOUS UPDATING OF KNOWLEDGE AND SKILLS, TRYING TO STIMULATE CURIOSITY AND INTEREST IN COMPUTER SCIENCE AND NEW TECHNOLOGIES. THIS PROCESS WILL HAVE TO ACCOMPANY THEM THROUGHOUT THEIR LIVES, IN A WORKING WORLD IN CONSTANT AND RAPID EVOLUTION.
TO INCREASE THE LEARNING ABILITY, THE TEACHER WILL SHOW THE "PRACTICAL" ASPECTS OF WHAT WILL BE PRESENTED IN CLASS. THE TEACHER WILL TRY TO STIMULATE STUDENTS TO A CONTINUOUS INTERACTION WITH HIM AND WITH THE OTHER STUDENTS AND WILL TRY TO ENTICE THEM TO A SERIOUS AND CONSTANT STUDY, ALSO THROUGH THE "INTERMEDIATE TESTS" THAT COULD COUNT AS A PARTIAL EXEMPTIONS FROM EXAMS.
IN THE CLASSROOM, TO MAINTAIN THE EVER VIGILANT ATTENTION, IT WILL BE MADE USE OF SLIDES, SUITABLY ACCOMPANIED BY MULTIMEDIA ELEMENTS.
IN ORDER TO ACCUSTOM THEM TO THE SELF-LEARNING, STUDENTS WILL BE INVITED TO DEEPEN THE TOPICS OF THE COURSE, ADVISING THEM TO VISIT WEBSITES OR USE SOME TRADITIONAL AND ONLINE RESOURCES OF PARTICULAR INTEREST.
DURING THE COURSE IT WILL BE MADE EXTENSIVE USE OF EXAMPLES, TUTORIALS AND EXERCISES TO BE PERFORMED AT HOME BY THE STUDENTS, WITH THE CORRECTION TO THE NEXT LESSON.
Prerequisites
KNOWLEDGE OF HIGH SCHOOL LEVEL OF MATHEMATICS IS REQUIRED. IN PARTICULAR, ELEMENTARY ALGEBRA, METHODS OF SOLVING OF EQUATIONS AND INEQUALITIES OF FIRST AND SECOND GRADE AND SOME ELEMENTS OF TRIGONOMETRY.
Contents
-SET THEORY
-THE REAL NUMBER
-COMBINATORIAL ANALYSIS
-THE REAL FUNCTIONS
-SEQUENCE OF REAL NUMBER
-LIMITS OF FUNCTIONS
-DERIVATES
-THE RIEMANN INTEGRAL
-TAYLOR'S FORMULA
-NUMERICAL SERIES
-FUNCTIONS OF SEVERAL VARIABLES
-ALGEBRA
-ELEMENTS OF FINANCIAL MATHEMATICS
Teaching Methods
THE COURSE PROVIDES A PART OF THEORETICAL LESSONS AND A PART OF PRACTICAL ONES; THE FORMER ARE AIMED TO LEARNING THE BASICS OF MATHEMATICS FOR ECONOMY AND MANAGEMENT AND DEMONSTRATION OF THE DIFFERENT USED TECHNIQUES, THE LATTER HELP TO ILLUSTRATE HOW THE THEORETICAL KNOWLEDGE ACQUIRED CAN BE USED IN ORDER TO SOLVE PROBLEMS.
Verification of learning
WITH A WRITTEN TEST FOLLOWED BY AN ORAL ONE, THE LEVEL OF KNOWLEDGE OF THE STUDENT WILL BE TESTED
Texts
TESTI CONSIGLIATI:

- P. MARCELLINI - C. SBORDONE, ELEMENTI DI ANALISI MATEMATICA UNO, LIGUORI EDITORE

-P. MARCELLINI - C. SBORDONE, ESERCITAZIONI DI MATEMATICA I, LIGUORI EDITORE or

-A. ALVINO -L. CARBONE - G. TROMBETTI, ESERCITAZIONI DI MATEMATICA I, LIGUORI EDITORE

-S. LANG, ALGEBRA LINEARE, BORINGHIERI or

-S. LIPSCHUTZ, ALGEBRA LINEARE, MC-GRAW-HILL

-E. CASTAGNOLI, L. PECCATI, MATEMATICA IN AZIENDA I, EGEA, MILANO 2002
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