Mathematics for Economics

Rosa FERRENTINO Mathematics for Economics

0212400006
DEPARTMENT OF ECONOMICS AND STATISTICS
EQF6
ECONOMICS
2021/2022



OBBLIGATORIO
YEAR OF COURSE 1
YEAR OF DIDACTIC SYSTEM 2016
AUTUMN SEMESTER
CFUHOURSACTIVITY
1060LESSONS


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 FINANCIAL AND BUSINESS NATURE.
APPLYING KNOWLEDGE AND UNDERSTANDING:
HAVING GAINED AN ANALYTICAL MIND AIMED AT A PROBLEM-SOLVING APPROACH AND AT IDENTIFYING APPROPRIATE RESPONSES, THE GRADUATE WILL BE ABLE TO USE ADEQUATE QUANTITATIVE TOOLS INDISPENSABLE TO FACE AND SOLVE FINANCIAL AND ECONOMICS ISSUES AND TO TAKE DECISIONS REGARDING THE BUSINESS-QUANTITATIVE THEMES.
Prerequisites
INTRODUCTORY ELEMENTARY NOTIONS, EQUATIONS AND INEQUALITIES OF VARIOUS TYPES.
Contents
INTRODUCTORY ELEMENTARY NOTIONS (2H LEZIONE)
REAL FUNCTIONS OF REAL VARIABLE (8H LEZIONE)
LIMITS AND CONTINUITY OF REAL FUNCTIONS(10H LEZIONE)
ELEMENTS OF DIFFERENTIAL CALCULUS(10H LEZIONE)
ELEMENTS OF INTEGRATION THEORY(10H LEZIONE)
FUNCTIONS OF MORE VARIABLES(10H LEZIONE)
ELEMENTS OF LINEAR ALGEBRA(10H LEZIONE)
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
T. M. APOSTOL - MATHEMATICAL ANALYSIS. SECOND EDITION, ADDISON-WESLEY

S. LANG - INTRODUCTION TO LINEAR ALGEBRA. SPRINGER-VERLAG

More Information
FREQUENCY OF THE COURSE IS HIGHLY RECOMMENDED, BUT NON-OBLIGATORY. IN THE COURSE LECTURE, THE TEACHER WILL GIVE TO THE STUDENTS NOTES AND EXERCISES. STUDENTS 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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