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CODE 86630
ACADEMIC YEAR 2016/2017
CREDITS
SCIENTIFIC DISCIPLINARY SECTOR MAT/07
LANGUAGE Inglese
TEACHING LOCATION
SEMESTER 1° Semester
TEACHING MATERIALS AULAWEB

OVERVIEW

We introduce mathematical techniques for the construction of a mathematical model, for its formalization, and for the study of its behavior.  

AIMS AND CONTENT

LEARNING OUTCOMES

The aim of the course is to provide students with an overview of the basic mathematical methods used for the solution and the qualitative study of certain types of ordinary and partial differential equations of interest in engineering. At the end of the course, the student acquires the ability to study the behavior of complex systems through the formulation of a simplified mathematical model capable of describing and predict the salient features of the phenomenon.

TEACHING METHODS

Traditional lectures, lab exercises with matlab.

SYLLABUS/CONTENT

We introduce mathematical techniques for the construction of a mathematical model, for its formalization, and for the study of its behavior. In order to illustrate such methods, the following topics are developed:

  • Systems modeled by ordinary differential equations: Population dynamics, Lotka-Volterra predator-prey models.
  • Systems modeled by partial differential equations: transport equation, Laplace equation, wave and heat equations. Simple Cauchy and boundary value problems: formulation and main techniques: separation of variables (and related techniques: Fourier series and transform), fundamental solutions.\
  • Matlab exercises

 

RECOMMENDED READING/BIBLIOGRAPHY

  • lecture notes
  • E.Beltrami Mathematics for dynamic modelling Academic Press
  • O.Caligaris - P.Oliva lecture notes at : //sv.inge.unige.it/DidRes/Analisi/




 

TEACHERS AND EXAM BOARD

Exam Board

OTTAVIO CALIGARIS (President)

CLAUDIO CARMELI (President)

LESSONS

EXAMS

EXAM DESCRIPTION

Oral exam.

ASSESSMENT METHODS

Students must prove their understanding of the topics treated during the course by answering questions on the arguments covered in the lectures.

Exam schedule

Data appello Orario Luogo Degree type Note
14/06/2017 10:00 SAVONA Orale
30/06/2017 10:00 SAVONA Orale
12/07/2017 10:00 SAVONA Orale
14/09/2017 10:00 SAVONA Orale