Mathematics for economics

Aims of the course

- To develop logical thinking.
- To give the student a mathematical concepts necessary for a quantitative treatment of economic problems.

Course syllabus

1. Functions of n variables
1.1. Examples: utility function, production function
1.2. Partial derivatives and its use (direct and indirect utility function, the profit function, production function)
1.3. Differential and its use
2. Taylor series for function of two variables (an approximation of the second and third order)
3. Analysis of functions of n variables
3.1. Hessian matrix (convexity, concavity)
3.2. Optimization and constrained optimization (maximization of utility , minimization of costs)
3.3. Karush-Kuhn-Tucker
3.4. Graphical solutions of linear programming
4. Integrals of functions of two variables (calculating consumer surplus, social welfare)
5. Matrix decomposition (eigenvalues and eigenvectors)

Course director(s)