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
www.editurauniversitara.ro