Mathematics for Economics

Giovanna BIMONTE Mathematics for Economics

0212400006
DIPARTIMENTO DI SCIENZE ECONOMICHE E STATISTICHE
EQF6
ECONOMICS
2016/2017



OBBLIGATORIO
YEAR OF COURSE 1
YEAR OF DIDACTIC SYSTEM 2016
PRIMO SEMESTRE
CFUHOURSACTIVITY
1060LESSONS


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, NOTIONS INDISPENSABLE FOR THE UNDERSTANDING OF THE ECONOMIC-QUANTITATIVE THEMES DEALT IN THE OTHER DISCIPLINES.IN OTHER WORDS ,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 IN THEME AND OF INFORMATIONS AVAILABLE FROM DATABASE OR ONLINE

APPLYING KNOWLEDGE AND UNDERSTANDING

THE STUDENTS WILL BE ABLE TO ACQUIRE ANALYTICAL AND CRITICAL ABILITY WITH REGARD TO THE TOOLS AND TO THE DEVELOPED RULES, NAMELY THE STUDENTS WILL BE ABLE TO USE THE MATHEMATICAL TOOLS LEARNED FOR TO UNDERSTAND AND TO RESOLVE PROBLEMS OF ECONOMIC-FINANCIAL CHARACTER
Prerequisites
PREREQUISITES
INTRODUCTORY ELEMENTARY NOTIONS, EQUATIONS AND INEQUALITIES OF VARIOUS TYPES. ANALYTIC GEOMETRY ELEMENTS
Contents
CONTENTS
ELEMENTS OF SETS THEORY. ELEMENTS OF COMBINATORIAL ANALYSIS. NUMERICAL SETS. REAL FUNCTION OF REAL VARIABLE. LIMITS AND CONTINUITY OF REAL FUNCTIONS. SUCCESSIONS AND NUMERICAL SERIES. ELEMENTS OF LINEAR ALGEBRA: VECTORS, MATRICES AND LINEAR SYSTEMS. ELEMENTS OF DIFFERENTIAL CALCULUS. ELEMENTS OF THE INTEGRATION THEORY. FUNCTIONS OF MORE VARIABLES: PARTIAL DERIVATIVES, FUNCTIONS DIFFERENTIABLE, MAXIMA AND MINIMA (FREE AND SUBJECT TO CONSTRAINTS). ELEMENTS OF FINANCIAL MATHEMATICS.

Teaching Methods
LESSONS, WORKING TEAMS, EXERCISES, DISCUSSIONS IN CLASSROOM, INTERACTION WITH TEACHING BY EMAIL
Verification of learning
EXERCISES,WRITTEN TESTS, WRITTEN AND ORAL TEST AT THE END
THE STUDENTS, ON THE BASE OF THE ACQUIRED TECHNIQUES, WILL HAVE TO BE ABLE TO ENUNCIATE AND TO DEMONSTRATE THEOREMS AND HOLD UP, IN CLEAR AND EFFECTIVE WAY, AN ORAL DISCUSSION WITH OPPORTUNE REFERENCES TO THE CONTENTS OF THE COURSE.


Texts
S. GRECO, B. MATARAZZO, S. MILICI: MATEMATICA GENERALE, G. GIAPPICHELLI EDITORE, 2010.
R. FERRENTINO: INTRODUZIONE AI CORSI DI MATEMATICA GENERALE E STATISTICA, CUSL, 2012.
G. GIORGI: ELEMENTI DI MATEMATICA, GIAPPICHELLI EDITORE, 1999.
A. GUERRAGGIO: MANUALE DI MATEMATICA, MONDADORI, 2004.
K. SYDSÆTER – P. HAMMOND – A. STRØM: METODI MATEMATICI PER L'ANALISI ECONOMICA E FINANZIARIA CON PEARSON E TEXT + MYMATHLAB ITALIANO, PEARSON EDITORE.
C. MATTALIA-F. PRIVILEGGI: MATEMATICA PER LE SCIENZE ECONOMICHE E SOCIALI. FUNZIONI DI UNA VARIABILE. MAGGIOLI EDITORE, 2015.
More Information
HANDOUTS AND EXERCISES BY THE TEACHER
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