Mathematics in Economics and Management
Examples and exercises
MD 290
The book that you pick up has been developed for students of first year courses in
International Relations, Finance and Management. It has been designed to help you - even
those who learned mathematics in high school only at the elementary level - to pass the
exams in mathematics (or any other similar courses).
The book is prepared in a way that allows you to learn by yourself. Hence, great
emphasis was placed on the examples that dominate in this book. They are resolved
"step by step" to make it easy to understand them.
Chapter 1. Logic
1.1. Sentences
1.2. Quantifiers
Chapter 2. Sets
2.1. Basic Concepts
2.2. Cartesian Product
2.3. The Inclusion-Exclusion Principle
Chapter 3. Relations
3.1. Describing the Relations
3.2. Properties of the Relations
3.3. Orders and Preferences
3.4. Pareto Efficiency
Chapter 4. Matrices and Vectors
4.1. Basic Concepts. Matrix Algebra
4.2. Elementary Operations
4.3. Linear Independence of Vectors and Matrix Rank
4.4. Determinants
4.5. Matrix Inverse
Chapter 5. Linear Systems
5.1. Systems of Linear Eąuations
5.2. Systems of Linear Ineąualities
5.3. Foundations of Linear Programming
Chapter 6. Basic Functions and Their Properties
6.1. Basic Concepts
6.2. Polynomials and Rational Functions
6.3. Exponential Function
6.4. Logarithmic Function
Chapter 7. Sequences and Series
7.1. Sequences and Their Limits
7.2. Arithmetic and Geometrie Progressions
7.3. Sums and Series
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Chapter 8. Functions of One Variable
8.1. Limits
8.2. Derivatives
Chapter 9. Functions of Many Variables
9.1. Functions of Many Variables and Their Derivatives.
9.2. Local Extrema
9.3. Conditional Extrema
Chapter 10. Integral Calculus
10.1. Indefinite Integrals
10.2. Definite and Improper Integrals
Chapter 11. Differential and Difference Equations
11.1. Differential Equations
11.2. Difference Equations
Chapter 12. Applications of Calculus in Economics
12.1. Differential Calculus
12.2. Important Functions
Chapter 13. Financial Mathematics
13.1. Compound Interest, Streams of Money and IRR
13.2. Loan Repayment Schedule
Chapter 14. Probability
14.1. Basic Concepts
14.2. Random Variable
14.3. Appendix: CumulatWe Distribution of N(0, 1)
282 pages, Paperback