Università degli Studi di Napoli "Parthenope"

Teaching schedule

Academic year: 
2018/2019
Belonging course: 
Course of Bachelor's Degree Programme on ECONOMICS AND BUSINESS
Disciplinary sector: 
MATHEMATICAL ANALYSIS (MAT/05)
Credits: 
3
Year of study: 
3
Teachers: 
Cycle: 
Second semester
Hours of front activity: 
24

Language

Italian

Course description

Expected learning outcomes
The course aims to provide basic knowledge for solving ordinary differential equations. The student will be able to use the studied methods for modeling and solving economic and environmental problems.

Knowledge and understanding
The student will demonstrate that he has acquired the tools of mathematical analysis and has to be able to apply them to model and solve real problems.
Applying Knowledge and understanding
The student should be able to apply the acquired mathematical techniques to real problems, especially of environmental nature and, in particular, he has to be be able to solve ordinary differential equations.

Making judgments
The student will demonstrate that he is able to translate into mathematical terms a problem that describes a real phenomenon.
Communication
The student will demonstrate his ability to expose, with a certain rigor, the knowledge acquired, answering in a exhaustive way to the questions of the oral examination.
Lifelong learning skills
The student should be able to show a good learning ability of the acquired methodologies and he should know how to use mathematical tools to solve application problems.

Prerequisites

Contents of the course of Introduction to Mathematics of the first year.

Syllabus

CONTINUOUS MODELS (24 hours)
First and second order linear differential equations. Applications: population growth models; predator-prey systems, competition and cooperation; epidemic model; heat loss of a body; the oxygen debt; passage of a substance across a membrane; some applications in Physic.

Teaching Methods

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

Textbooks

P.Marcellini, C.Sbordone: Esercitazioni di Matematica 2, parte I e II, Liguori Editore, Napoli, 1991.

C.P. Simon - L.E. Blume, Mathematics for Economists.

Learning assessment

The assessment is based on written examination (duration 60 minutes) and an oral interview. During the written examination the use of notes, books and informatics devices -smartphone, tablet, pc, ecc.- is not allowed. 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

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