Università degli Studi di Napoli "Parthenope"

Teaching schedule

Academic year: 
2021/2022
Belonging course: 
Course of Bachelor's Degree Programme on ECONOMIA E MANAGEMENT
Disciplinary sector: 
MATHEMATICAL ANALYSIS (MAT/05)
Language: 
Italian
Credits: 
6
Year of study: 
2
Hours of front activity: 
48

Language

Italian

Course description

The aim of the course is to provide basic knowledge concerning the theory of functions of several real variables and and the mathematical tools for modeling and solving problems related to optimal management and planning.

Prerequisites

It is necessary to have passed the exam of Introduction to Mathematics.

Syllabus

Functions of two or several variables: Graphs. Domains. Limits and Continuity. Partial Derivatives. Higher Order Derivatives: Schwarz Theorem. Gradient vector and Differentiability. Directional Derivatives. (14 hours).
Local and Global Maxima and Minima. Constrained maxima and minima. (16 hours)

Mathematical models: construction and analysis. Examples.
Some LP problems and their resolution with graphical techniques.
Economic applications (18 hours)

Functions of two or several variables (14 hours).
Maxima and Minima. (16 hours)

Mathematical models.
Some LP problems and their resolution with graphical techniques.
Economic applications (18 hours)

Teaching Methods

The course includes frontal lessons, during which the themes of the program are discussed, and exercises in attendance.

Textbooks

• N.Fusco, P.Marcellini, C.Sbordone Lezioni di Analisi Matematica due, Zanichelli Editore, 2020.
• P. Marcellini, C. Sbordone Esercitazioni di Analisi Matematica due - prima parte e seconda parte – Zanichelli
• M.L. De Cesare, M.R. Maddalena Introduzione alla Programmazione Lineare Giappichelli Editore
• C.P. Simon, L.E. Blume, Mathematics for Economists

Learning assessment

The assessment is based on written examination (the use of notes, books and informatics devices -smartphone, tablet, pc, ecc.- is not allowed) and an oral interview. The written test is composed of exercises in order to assess the achievement by the student of the learning objectives. The oral exam focuses on the theoretical topics dealt with during the course and it is designed to evaluate the student's ability to express and formalize mathematical concepts. The vote of the examination is expressed in scale from 0 to 30, and it is results of written and oral examination. The laude can be assigned if the student shows, in his/her answers, a particular ability to deepen the topics mentioned in the examination’s questions.

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