Guida degli insegnamenti

Syllabus

Partially translatedTradotto parzialmente
[W000504] - MATHEMATICAL METHODS FOR BIOENGINEERINGMATHEMATICAL METHODS FOR BIOENGINEERING
Alessandro CALAMAI
Lingua di erogazione: ITALIANOLessons taught in: ITALIAN
Laurea Magistrale - [IM13] BIOMEDICAL ENGINEERING Master Degree (2 years) - [IM13] INGEGNERIA BIOMEDICA
Dipartimento: [040040] Dipartimento Ingegneria dell'InformazioneDepartment: [040040] Dipartimento Ingegneria dell'Informazione
Anno di corsoDegree programme year : 1 - Secondo Semestre
Anno offertaAcademic year: 2017-2018
Anno regolamentoAnno regolamento: 2017-2018
Crediti: 6
Ore di lezioneTeaching hours: 48
TipologiaType: D - A scelta dello studente
Settore disciplinareAcademic discipline: MAT/05 - ANALISI MATEMATICA

LINGUA INSEGNAMENTO LANGUAGE

English

English


PREREQUISITI PREREQUISITES

University courses in Analysis and Geometry.

University courses in Analysis and Geometry.


MODALITÀ DI SVOLGIMENTO DEL CORSO DEVELOPMENT OF THE COURSE

Standard

Standard


RISULTATI DI APPRENDIMENTO ATTESI LEARNING OUTCOMES
Knowledge and Understanding.

The course will allow: To know the tools and techniques of integration in several variables: line integrals, surface and volume. To know the methods for solving differential equations. To know the tools and techniques of complex analysis and the operational calculus, Fourier and Laplace and of the integral transform. Ability to apply them insolving scientific and technological problems.


Capacity to apply Knowledge and Understanding.

This free-choice course will allow to integrate the basic mathematical knowledge with advanced courses in mathematics related to specific bioengenerering topics.


Transversal Skills.

Knowlegde of analytical and integral techniques as well as techniques of integral calculus.


Knowledge and Understanding.

The course will allow: To know the tools and techniques of integration in several variables: line integrals, surface and volume. To know the methods for solving differential equations. To know the tools and techniques of complex analysis and the operational calculus, Fourier and Laplace and of the integral transform. Ability to apply them insolving scientific and technological problems.


Capacity to apply Knowledge and Understanding.

This free-choice course will allow to integrate the basic mathematical knowledge with advanced courses in mathematics related to specific bioengenerering topics.


Transversal Skills.

Knowlegde of analytical and integral techniques as well as techniques of integral calculus.



PROGRAMMA PROGRAM

Introductory topology elements on the real line. Introductory elements of topology in R^n. Metrical spaces. Introduction of general topology. Axioms. Open and closed sets. Closure of a set. Important topology spaces. Fourier series. Fourier transform. Distributions. General theory of partial differential equations.

Introductory topology elements on the real line. Introductory elements of topology in R^n. Metrical spaces. Introduction of general topology. Axioms. Open and closed sets. Closure of a set. Important topology spaces. Fourier series. Fourier transform. Distributions. General theory of partial differential equations.


MODALITÀ DI SVOLGIMENTO DELL'ESAME DEVELOPMENT OF THE EXAMINATION
Learning Evaluation Methods.

Oral exam.


Learning Evaluation Criteria.

General verification of assimilation during the presentation of the course.


Learning Measurement Criteria.

In order to pass the learning evaluation, the student must demonstrate that he/she has understood the advanced concepts of mathematical analysis explained in the course.


Final Mark Allocation Criteria.

The oral exam is graded on a scale from 0 to 30.


Learning Evaluation Methods.

Oral exam.


Learning Evaluation Criteria.

General verification of assimilation during the presentation of the course.


Learning Measurement Criteria.

In order to pass the learning evaluation, the student must demonstrate that he/she has understood the advanced concepts of mathematical analysis explained in the course.


Final Mark Allocation Criteria.

The oral exam is graded on a scale from 0 to 30.



TESTI CONSIGLIATI RECOMMENDED READING

Notes provided by the teacher.

Notes provided by the teacher.


Scheda insegnamento erogato nell’A.A. 2017-2018
Le informazioni contenute nella presente scheda assumono carattere definitivo solo a partire dall'A.A. di effettiva erogazione dell'insegnamento.
Academic year 2017-2018

 


Università Politecnica delle Marche
P.zza Roma 22, 60121 Ancona
Tel (+39) 071.220.1, Fax (+39) 071.220.2324
P.I. 00382520427