Universitat Politècnica de Catalunya · BarcelonaTech

Grau en Enginyeria de Materials

Escola d'Enginyeria de Barcelona Est (EEBE)

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. 
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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 2020-2021
5,036
Preus i beques
Preu aproximat per curs, 1.660 €. Consulta el percentatge de minoració en funció de la renda (beques i modalitats de pagament).
Lloc d'impartició
Escola d'Enginyeria de Barcelona Est (EEBE)
Títol oficial
Inscrit en el registre del Ministeri d'Educació, Cultura i Esport
Places nou ingrés
40
Places canvi d'estudis
5
Codi de preinscripció
31025
Nota de tall del curs 2020-2021
5,036. 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
Els 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.

Setè quadrimestre

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.
Itineraris entre estudis en un mateix centre

Tens la possibilitat de complementar aquest grau amb un itinerari específic que permet obtenir una doble titulació dintre d'aquest centre, cursant un determinat nombre de crèdits més corresponents al pla d'estudis d'una de les altres titulacions que s'imparteixen en el centre. La doble titulació implica, a grans trets, superar un any d'estudis addicional. Per accedir-hi cal haver cursat ja un mínim de crèdits d'un dels graus. L'oferta de places és limitada.
  • Grau en Enginyeria de Materials + Grau en Enginyeria Mecànica
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Calendari acadèmic dels estudis universitaris de la UPC
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Normativa acadèmica dels estudis de grau de la UPC
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