Universitat Politècnica de Catalunya · BarcelonaTech

Grau en Enginyeria de Materials

El grau en Enginyeria de Materials et formarà com a professional, amb una preparació científica i tècnica multidisciplinària, i amb capacitat per dissenyar, desenvolupar, implementar, gestionar i millorar la producció, transformació, processament, control, reciclatge, emmagatzematge de materials, seguretat i  integritat de materials i components, ja siguin materials metàl·lics, ceràmics, polímers, compostos o biològics. Rebràs una formació multidisciplinària, amb una forta base de ciència de materials i de tecnologies industrials, en un àmbit de l’enginyeria estratègic i en sectors com les energies sostenibles, l’automoció, l’aeronàutica, la indústria naval, la bioenginyeria, les energies, la metal·lúrgia, els plàstics, la ceràmica i el vidre, les tecnologies de fabricació, o el reciclatge i l'impacte ambiental. 
Mostra el text complet
Amaga el text complet
Durada
4 anys
Càrrega lectiva
240 crèdits ECTS (incloent-hi el treball de fi de grau). Un crèdit equival a 25-30 hores de treball.
Tipus de docència
Presencial
Nota de tall del curs 2018-2019
5,000
Preus i beques
Preu aproximat per curs, 2.551 €. Consulta el percentatge de minoració en funció de la renda (beques i modalitats de pagament).
Títol oficial
Inscrit en el registre del Ministeri d'Educació, Cultura i Esport
Places nou ingrés
40
Places canvi d'estudis
5
Nota de tall del curs 2018-2019
5,000. Notes de tall
Ponderacions PAU
Taula de ponderacions de les matèries per a la fase específica
Com s'hi accedeix
Totes les vies d'accés, preinscripció i matrícula.
Convalidacions de CFGS
Convalidacions de CFGS
Legalització de documents
Documents expedits per estats no membres de la Unió Europea ni signataris de l’Acord sobre l’espai econòmic europeu han d'estar legalitzats per via diplomàtica o amb la postil·la corresponent.

Vuitè quadrimestre

  • ObligatòriaECTS
  • OptativaECTS
  • ProjecteECTS
Sortides professionals
  • Disseny, avaluació, selecció i fabricació de materials, segons les seves aplicacions.
  • Disseny, desenvolupament i control dels processos de fabricació, transformació, reutilització i emmagatzematge de materials.
  • Avaluació de la seguretat, durabilitat i integritat estructural de materials i components.
  • Director/a tècnic/a.
  • Enginyer/a de producció.
  • Productor/a de components elèctrics i indústria microelectrònica.
  • Tècnic/a en la selecció de materials per al disseny.
  • Tècnic/a en modelització de processos de producció o tractament de materials.
  • Tècnic/a en control de materials i processos, i laboratoris de caracterització.
  • Controlador/a de la garantia i qualitat de matèries primeres, processos i productes.
  • Docència i recerca.
data:image/png;base64,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

Calendari acadèmic
Calendari acadèmic dels estudis universitaris de la UPC
Normatives acadèmiques
Normativa acadèmica dels estudis de grau de la UPC
Acreditació i reconeixement d'idiomes
Els estudiants de grau han d'acreditar la competència en una 3a llengua per obtenir el títol de grau. Certifica el teu nivell d’idiomes.
Lloc d'impartició
Escola d'Enginyeria de Barcelona Est (EEBE) Escola d'Enginyeria de Barcelona Est (EEBE)

Versió per imprimir

Obre el video a tv.upc.edu

Sol·licita informació