The course provides the advanced notions of mathematical analysis useful for the analysis and understanding, through mathematical models, of economic phenomena.
Teaching Unit 1-2
1) Knowledge and Understanding: knowing how to perform the oprations between matrices, know how to use the properties of a symmetric matrix, know how to determine the "sign" of a quadratic form, know how to calculate maximum and minimum of a function of several variables unconstrained.
2) Applying Knowledge and Understanding: knowing how to apply to simple economic problems.
3) making judgements: ability to analyze and interpret the numerical results obtained in relation to the specific application or to the theorems.
4) Learning skills: ability to extend the concepts seen in 2 dimensions to n dimensions.
Teaching Unit 3
1)Knowledge and Understanding: nowing Khun Tucher's theorems for constrained optimization.
2)Applying Knowledge and Understanding: being able to apply applying the theorems to the resolution of non-linear problems.
3) making judgements: ability to analyze and interpret the numerical results obtained in relation to the specific application or to the theorems.
4) Learning skills: ability to extend the theorems from the 2-dimensional space to n dimensions.
Teaching Unit 4
1)Knowledge and Understanding: knowing how to identify a problem of PL, know the steps necessary to formulate a mathematical model of PL.
2)Applying Knowledge and Understanding: being able to apply the necessary steps for the formulation of a PL model to real problems such as: production, maketing, assignment problems, once assigned the text of the problem.
3) making judgements: ability to analyze and interpret the numerical results obtained in relation to the specific application or to the theorems.
4) Learning skills: ability to model some real problems.
For all Teaching Units
Communication skills: although the teaching does not foresee specific activities aimed at developing communication skills, the student will be able to operate within heterogeneous working groups.