The course is about linear and nonlinear optimization problems. It aims to give the students the necessary skill for first formulating a real economic problem in a mathematical form and then for solving it using mathematical methods..
The course is organized as follows:
- Solution methods for linear systems
- Linear programming and real economic problems (diet problem, production problem,…)
- Linear Programming: simplex method and sensitivity analysis
- Data Envelopment Analysis and its applications to efficiency analysis
- Integer programming (basic elements).
- Quadratic and fractional programming: solution methods and economic applications ( portfolio theory, location problems, prices decisions, market allocations. Case studies. Exercises and simple examples are studied using software Maple and Excel.