# 30449 - MATHEMATICS - MODULE 2 (APPLIED MATHEMATICS)

**CLES-BESS**

Department of Decision Sciences

Course taught in English

Go to class group/s: 13

Course Objectives

The course goal is providing the main mathematical and analytical tools which are used in the modelling applied to economics, management and decision theory.

Intended Learning Outcomes

Course Content Summary

- Differential calculus for functions of n real variables: partial derivatives, first order and second order differential.
- Implicit functions.
- Unconstrained optima. Constrained optima: classical programming and differentiable non linear programming.
- Dynamical systems: ordinary differential equations, finite difference equations. Solving in the linear autonomous case.
- Stability: the linear case, the phase portrait, linearization in the non linear case.

Teaching methods

Assessment methods

Detailed Description of Assessment Methods

- Written exam.
- Two partial midterm may replace the general written exam.
- Detailed exam rules are notified as soon as possible.

Textbooks

- E. CASTAGNOLI, M. MARINACCI, E. VIGNA, Principles of Mathematics and Economics, Milano, dispense Egea, 2013, ISBN 978-88-6407-192-3.
- Teaching notes.

Last change 14/06/2017 15:08