Courses Description
Mathematics for Economists I
- Category: 1st Semester
- Tutor(s): Assistant Professor I. Psarianos, Associate Professor L. Zachilas
Review
Duration: 3 hours per week - 13 weeks [ECTS: 6]
Course outline
1. Introduction in Mathematics for Economists – Mathematical models
2. Sets and numbers. Sets, operations with sets, sets of numbers, real numbers, Cartesian product, relationships, functions.
3. Combinatorics: How to count, Permutations, Permutations with repetitions, Cyclic Permutations, Combinations, Combinations with repetitions.
4. Calculus-Functions of one variable: Introduction, various types of functions of one or two variables.
5. Static Analysis: the sense of equilibrium, market equilibrium, market equilibrium in non-linear models, general equilibrium, market equilibrium with two goods.
6. Matrices: Introduction, various types of matrices, matrix operations, properties of operations, Identity and Zero matrix, Transpose and Inverse matrix, Determinants, properties of determinants, Linear Systems of Equations (the method of inverse matrix and the method of determinants), Homogeneous systems of equations, Applications of Linear Systems in Economy.