Editura Universitara Applied mathematics in economics. Seminar notebook

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20,00 Lei 14,60 Lei

ISBN: 978-606-28-0224-0

DOI: 10.5682/9786062802240

Publisher year: 2015

Pages: 102

Publisher: Universitară

Author: Gratiela Ghic

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GRATIELA GHIC
Doctor of Economics, Associate Professor at the Faculty of International Relations of the Christian University Dimitrie Cantemir, Bucharest.
Areas of competence: mathematical modeling of economic processes, financial mathematics, operational research, economic and financial analysis.

SUMMARY OF FUNDAMENTAL NOTIONS / 7

I. ELEMENTS OF LINEAR ALGEBRA / 11
1. VECTOR SPACES / 11
Control questions and topics for debate / 13

I. ELEMENTS OF LINEAR ALGEBRA / 18
2. VECTOR SUBSPIES / 18
Control questions and topics for debate / 18

I. ELEMENTS OF LINEAR ALGEBRA / 21
3. LINEARITY. GENERATORS. BAZE. COORDINATE / 21
Control questions and topics for debate / 23

I. ELEMENTS OF LINEAR ALGEBRA / 27
4. CHANGING THE BASE. LEMA OF SUBSTITUTION. PIVOT METHOD / 27
Control questions and topics for debate / 28

I. ELEMENTS OF LINEAR ALGEBRA / 32
5. FUNCTIONAL ON VECTOR SPACES / 32
Control questions and topics for debate / 33

I. ELEMENTS OF LINEAR ALGEBRA / 36
6. REDUCTION OF PATRATIC FUNCTIONS TO THE CANONIC FORM / 36
Control questions and topics for debate / 37

II. LINEAR PROGRAMMING ELEMENTS / 41
1. THE SIMPLEX PRIMAL ALGORITHM / 41
Questions and topics for debate / 43

II. LINEAR PROGRAMMING ELEMENTS / 49
2. TRANSPORT PROBLEM / 49
Questions and topics for debate / 51

III. ELEMENTS OF MATHEMATICAL ANALYSIS / 57
1. DIFFERENTIAL THEORY OF REAL VECTOR FUNCTIONS / 57
Control questions and topics for debate / 60

III. ELEMENTS OF MATHEMATICAL ANALYSIS / 64
2. OPTIMIZATION OF REAL VECTOR FUNCTIONS / 64
Control questions and topics for debate / 65

III. ELEMENTS OF MATHEMATICAL ANALYSIS / 68
3. OPTIMIZATION OF CONDITIONED VECTOR FUNCTIONS / 68
Questions and topics for debate / 69

III. ELEMENTS OF MATHEMATICAL ANALYSIS / 74
4. COMPLEMENTS OF INTEGRAL CALCULATION. IMPROPER INTEGRAL / 74
Questions and topics for debate / 76

IV. BASIC ELEMENTS OF PROBABILITY THEORY / 78
1.PROBABILITY. FUNDAMENTAL FORMULAS / 78
Control questions and topics for debate / 80

IV. BASIC ELEMENTS OF PROBABILITY THEORY / 83
2. RANDOM VARIABLES / 83
Control questions and topics for debate / 90

V. ELEMENTS OF FINANCIAL MATHEMATICS / 93
SIMPLE AND COMPOUND INTEREST / 93
Control questions and topics for debate / 95

BIBLIOGRAPHY / 102

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