General and basic concepts of mathematical analysis.
The course aims to provide the basic tools useful in order to deal with other learnings of interest, such as economics and statistics.
1. Elements of linear algebra.
2. Optimum of a Function of One Variable.
2.1 First Order Conditions
2.2 Second Order Conditions
3. Unconstrained Optimum of a Function of Many Variables
3.1 First Order Conditions
3.2 Second Order Conditions (Hessian)
4. Constrained Optimum of a Function of Many Variables
The Lagrangean Multiplier Method and Khun Tucker Theorem
4.1 First Order Conditions
4.2 Second Order Conditions (Bordered Hessian)
Allevi, Bertocchi, “Manuale Modulare Metodi Matematici-Modulo 6”, Giappichelli Editore.
The slides and other materials used for lectures are made available to the students.
Lessons and practice exercises.