Année 2015-16 Programme 2A
Transcription
Année 2015-16 Programme 2A
Programme 2ème année – 2015-16 Last update : April 20, 2015 ©Ecole Centrale Paris CL Academic calendar (2015-16) • Fall semester: • • • • • • Sept 7: instruction begins Oct 19-23 or Oct 26-30: vacation Nov 11: Holiday Dec 18: last day of classes before Christmas break Jan 4: classes resume Jan 22: end of Fall semester • Spring semester: • • • • • Jan 25: instruction begins March 7 – 11: Winter break March 18: Easter holiday April 26 – May 6: Spring break June 9: end of Spring semester ©Ecole Centrale Paris 2 S7 electives for AY 2015-16 – v9 of 9 April 2015 (14 courses in English out of 48 = 29%) SPI MSI E2 E3 E4 E5 E6 Sept 21-Dec 11 Final exam: Jan 6 Sept 7-Nov 13 Final exam: Dec 4 Sept 9-Dec 4 Final exam: Dec 18 Nov 5 – Dec 17 Final exam: Jan 8 Jan 11-15 PR3100 Procédés et Dévelopt. durable H. Duval en Anglais EN1200. Mécanique des fluides T. Schuller PR4200 Réseaux électriques J.P. Fanton EN1110. Advanced heat transfer (E*) B. Goyeau MG1700. Design système surveillance. V. Aubin MG1200 Génie Civil P. Chassagnette MG1300. Structural dynamics and acoustics – (EF) P.E. Gautier PR5300. Biotechnologie F. Lopes MG1600. Nano-mechanics (E*) H.L. Hamon EN2940 Avion électrique. Christophe Devaux MA2630. Distributions et opérateurs. P. Lafitte MA2300. Probabilités avancées E. Herbin MA2100. Modélisation de risque financier L. Gabet MA2200. Optimisation P.H. Cournède EN2910 Aircraft design (D. Breyne) (E) IS1220. Software Engineering (E) P. Ballarini IS1230 Bases de données. N. Travers MA2610. Calcul Scientifique. H. Ben Dhia IS2120. Systèmes automatiques P. Martin PH2200. Synchrotron beamline design (J.M. Gillet) (E*) MA2823. Introduction to Machine Learning M. Blaschko IS1510.Communication numérique et réseaux P. Lecoy SE2350. Vers autonomie énergétique. François Cluzel PH2450. New trends in chemistry (E*) PH2600. Relativité et applications. N. Besson M. Defrancheschi PH2300. Physique de la matière (EF). P. Cortona MA2815 Modél. math pour la biologie (V. Letort) PR5210. The Genome (E) D. Le Roux MG1400. Plasticité et Rupture: Comportement des matériaux - V. Aubin SE1300. Finance d’entreprise, finance de marché. D. Attias SE2200. Conception et innovation B. Yannou SE2300. Stratégie et marketing E. Mounoud SE1600. Economie 2 P. Da Costa IS1410. Ingénierie numérique&collaborative P. Morenton SE3300. Introduction création d’entreprise J.F. Galloüin SE2400. Production et distribution C. Chu SE2920. Gestion des projets complexes F. Marle SH2350. Individus Travail Or SH2650. Science techno société. C. Colmellere MA2500 Signal Processing (I Kokkinos) SMV SCE SHS PH2100. Ondes (EF) H. Dammak SH2550. Enjeux de société. C. Colmellere PH2250 Réacteur nucléaire embarqué. Passeport français. Quota 42. JM Gillet SH2300. Individus Travail Organis.t (EF) SH2400. International and intercultural (EF) SH2500. Enjeux de société SH2600. Science techno société ©Ecole Centrale Paris SH2700 Innov.arts créativité S8 electives for AY 2014-15 – v9 of 9 April 2015 (26 courses in English out of 51 = 51%) S P I E8 E9 E10 E11 E12 E13a E13b Feb 1 – Mar 18 Final: March 28 Feb 3 – Mar 18 Final: April 8 Feb 4 – May 12 Final: May 26 Mar 30 – May 27 Final: June 8 April 4 – May 30 Final: June 6 March 21-25 May 16-20 PR4300. Cogeneration and energy production (T. Poline) (E*) EN1800. Numerical methods in Engineerin Applications (R. Vicquelin) (E*) PR3100 Procédés et Développement durable (M. Stambouli) EN2930. Powertrain Design A. Coussement EN1200. Méca Flu (F. Richecoeur) EN1201 Fluid Mech (R. Vicquelin) (E) EN1500 Nuclear Engineering (P. Yvon) (E*) EN1700. Neutronique et physique des réacteurs nucléaires (R. Lenain) EN1600 Energie renouvelable (JC Vannier) EN1120 Heat transfer (C. Laux) (E) MG1200. Génie Civil (P. Chassagnette) MG2814. Barrages (A. Modaressi) MG2815. Mise en forme des sols. Fleureau MG2812 Acoustique (P.E. Gauthier) MG2817 Finite Elements (G. Puel) (E) EN2910 Aircraft design (D. Breyne) (E) MG2920. ME–Construction durable & architecture (F. Cointe) +2 mardis MG2920. ME–Construction durable & architecture (F. Cointe) +2 mardis MG2818. Petrol. explor. & prod. (P. Persillon) (E) M S I S M V S C E MA2822 Stat. Avancées (Nouvel enseignant) MA2824. Géométrie différentielle (A. Chambert-Loir) MA2620. Equa diff et systèmes dynamiques. L. Dumas MA2825. Algèbre et crypto (D. Vergnaud) MA2827. Foundations of discrete optimization. P. Kumar IS1310. Théorie des Graphes (W. Ouerdane) Passage en anglais? IS1240 High Perform. Computing (E*) (F. Magoules) MA2814 Introduction to Random Modeling (F. Borel-Mathurin) (E) IS1250. Programming for mobile devices, Adell Amri (E) IS1350. Logique mathé matique pour l’info. (P. Le Gall) IS1220. Software Engineering (E) P. Ballarini IS1330 Informatique théorique: Calculabilité et langages formels (M.Aiguier) PH2814. Science-fiction and Physics (E*) (P. Bernaud) PH2813 Adv.materials & novel technologies (B. Dkhil) (E*) PR1100. Introduction to Materials (H. Duval) (E*) IS2960. ME – Electronique (P. Carpène) (EF) PH2812. Introduction to Atomic and Molecular Physics (N. Kebaili) (E*) PH2500. A crash course in modern mathematical physics I. Kornev PH2821 Statistical Physics for socioeconomics (G. Schehr) (E) MG2816. MEMS (D. Aubry) MG1500. Biomécanique E; Vennat PH2820 Technologies Optoélectroniques (P. Lecoy) SE2650 Risk management (E.Zio) (E) SE2800 Production planning & scheduling (C. Chu) (E) SE2750. Modèles stoch. files d’attente (O. Jouini) SE1500. Modélisation d’entreprise (J. Touzi) SE2700 Aide à la décision (V. Mousseau) WP2100. Dévpt durable & techno. (P. Da Costa) SE2550 .Intro Purchasing (P. Rougevin-Baville) (E*) SE3200. Droit 2 (M. Abello) PH2930 ME – Physique Nucl (G. Trap (+2 mardis) WL2100 Leadership in project (L. Roullet) E WL2200 Ethique et responsabilité (J.M. Camelin) SE2500 Stock Management (E. Sahin) (E) ©Ecole Centrale Paris 8 electifs 9 electifs 8 electifs 7 électifs 9 électifs Electifs de S8 de l’année 2014-15 – Mechanical and Aerospace Engineering S P I E8 E9 E10 E11 E12 E13a E13b Feb 1 – Mar 18 Final: March 28 Feb 3 – Mar 18 Final: April 8 Feb 4 – May 12 Final: May 26 Mar 30 – May 27 Final: June 8 April 4 – May 30 Final: June 6 March 21-25 May 16-20 PR4300. Cogeneration and energy production (T. Poline) (E*) EN1800. Numerical methods in Engineerin Applications (R. Vicquelin) (E*) PR3100 Procédés et Développement durable (M. Stambouli) EN2930. Powertrain Design A. Coussement EN1200. Méca Flu (F. Richecoeur) EN1201 Fluid Mech (R. Vicquelin) (E) EN1500 Nuclear Engineering (P. Yvon) (E*) EN1700. Neutronique et physique des réacteurs nucléaires (R. Lenain) EN1600 Energie renouvelable (JC Vannier) EN1120 Heat transfer (C. Laux) (E) MG1200. Génie Civil (P. Chassagnette) MG2814. Barrages (A. Modaressi) MG2815. Mise en forme des sols. Fleureau MG2812 Acoustique (P.E. Gauthier) MG2817 Finite Elements (G. Puel) (E) EN2910 Aircraft design (D. Breyne) (E) MG2920. ME–Construction durable & architecture (F. Cointe) +2 mardis MG2920. ME–Construction durable & architecture (F. Cointe) +2 mardis MG2818. Petrol. explor. & prod. (P. Persillon) (E) M S I S M V S C E MA2822 Stat. Avancées (Nouvel enseignant) MA2824. Géométrie différentielle (A. Chambert-Loir) MA2620. Equa diff et systèmes dynamiques. L. Dumas MA2825. Algèbre et crypto (D. Vergnaud) MA2827. Foundations of discrete optimization. P. Kumar IS1310. Théorie des Graphes (W. Ouerdane) Passage en anglais? IS1240 High Perform. Computing (E*) (F. Magoules) MA2814 Introduction to Random Modeling (F. Borel-Mathurin) (E) IS1250. Programming for mobile devices, Adell Amri (E) IS1350. Logique mathé matique pour l’info. (P. Le Gall) IS1220. Software Engineering (E) P. Ballarini IS1330 Informatique théorique: Calculabilité et langages formels (M.Aiguier) PH2814. Science-fiction and Physics (E*) (P. Bernaud) PH2813 Adv.materials & novel technologies (B. Dkhil) (E*) PR1100. Introduction to Materials (H. Duval) (E*) IS2960. ME – Electronique (P. Carpène) (EF) PH2812. Introduction to Atomic and Molecular Physics (N. Kebaili) (E*) PH2500. A crash course in modern mathematical physics I. Kornev PH2821 Statistical Physics for socioeconomics (G. Schehr) (E) MG2816. MEMS (D. Aubry) MG1500. Biomécanique E; Vennat PH2820 Technologies Optoélectroniques (P. Lecoy) SE2650 Risk management (E.Zio) (E) SE2800 Production planning & scheduling (C. Chu) (E) SE2750. Modèles stoch. files d’attente (O. Jouini) SE1500. Modélisation d’entreprise (J. Touzi) SE2700 Aide à la décision (V. Mousseau) WP2100. Dévpt durable & techno. (P. Da Costa) SE2550 .Intro Purchasing (P. Rougevin-Baville) (E*) SE3200. Droit 2 (M. Abello) PH2930 ME – Physique Nucl (G. Trap (+2 mardis) WL2100 Leadership in project (L. Roullet) E WL2200 Ethique et responsabilité (J.M. Camelin) SE2500 Stock Management (E. Sahin) (E) ©Ecole Centrale Paris 8 electifs 9 electifs 8 electifs 7 électifs 9 électifs Electifs de S8 de l’année 2014-15 – Computer Science / Applied Math S P I E8 E9 E10 E11 E12 E13a E13b Feb 1 – Mar 18 Final: March 28 Feb 3 – Mar 18 Final: April 8 Feb 4 – May 12 Final: May 26 Mar 30 – May 27 Final: June 8 April 4 – May 30 Final: June 6 March 21-25 May 16-20 PR4300. Cogeneration and energy production (T. Poline) (E*) EN1800. Numerical methods in Engineerin Applications (R. Vicquelin) (E*) PR3100 Procédés et Développement durable (M. Stambouli) EN2930. Powertrain Design A. Coussement EN1200. Méca Flu (F. Richecoeur) EN1201 Fluid Mech (R. Vicquelin) (E) EN1500 Nuclear Engineering (P. Yvon) (E*) EN1700. Neutronique et physique des réacteurs nucléaires (R. Lenain) EN1600 Energie renouvelable (JC Vannier) EN1120 Heat transfer (C. Laux) (E) MG1200. Génie Civil (P. Chassagnette) MG2814. Barrages (A. Modaressi) MG2815. Mise en forme des sols. Fleureau MG2812 Acoustique (P.E. Gauthier) MG2817 Finite Elements (G. Puel) (E) EN2910 Aircraft design (D. Breyne) (E) MG2920. ME–Construction durable & architecture (F. Cointe) +2 mardis MG2920. ME–Construction durable & architecture (F. Cointe) +2 mardis MG2818. Petrol. explor. & prod. (P. Persillon) (E) M S I S M V S C E MA2822 Stat. Avancées (Nouvel enseignant) MA2824. Géométrie différentielle (A. Chambert-Loir) MA2620. Equa diff et systèmes dynamiques. L. Dumas MA2825. Algèbre et crypto (D. Vergnaud) MA2827. Foundations of discrete optimization. P. Kumar IS1220. Software Engineering (E) P. Ballarini IS1240 High Perform. Computing (E*) (F. Magoules) MA2814 Introduction to Random Modeling (F. Borel-Mathurin) (E) IS1250. Programming for mobile devices, Adell Amri (E) IS1350. Logique mathé matique pour l’info. (P. Le Gall) IS1310. Théorie des Graphes (W. Ouerdane) Passage en anglais? IS1330 Informatique théorique: Calculabilité et langages formels (M.Aiguier) PH2814. Science-fiction and Physics (E*) (P. Bernaud) PH2813 Adv.materials & novel technologies (B. Dkhil) (E*) PR1100. Introduction to Materials (H. Duval) (E*) IS2960. ME – Electronique (P. Carpène) (EF) PH2812. Introduction to Atomic and Molecular Physics (N. Kebaili) (E*) PH2500. A crash course in modern mathematical physics I. Kornev PH2821 Statistical Physics for socioeconomics (G. Schehr) (E) MG2816. MEMS (D. Aubry) MG1500. Biomécanique E; Vennat PH2820 Technologies Optoélectroniques (P. Lecoy) SE2650 Risk management (E.Zio) (E) SE2800 Production planning & scheduling (C. Chu) (E) SE2750. Modèles stoch. files d’attente (O. Jouini) SE1500. Modélisation d’entreprise (J. Touzi) SE2700 Aide à la décision (V. Mousseau) WP2100. Dévpt durable & techno. (P. Da Costa) SE2550 .Intro Purchasing (P. Rougevin-Baville) (E*) SE3200. Droit 2 (M. Abello) PH2930 ME – Physique Nucl (G. Trap (+2 mardis) WL2100 Leadership in project (L. Roullet) E WL2200 Ethique et responsabilité (J.M. Camelin) SE2500 Stock Management (E. Sahin) (E) ©Ecole Centrale Paris 8 electifs 9 electifs 8 electifs 7 électifs 9 électifs Electifs de S8 de l’année 2014-15 – Applied Physics S P I E8 E9 E10 E11 E12 E13a E13b Feb 1 – Mar 18 Final: March 28 Feb 3 – Mar 18 Final: April 8 Feb 4 – May 12 Final: May 26 Mar 30 – May 27 Final: June 8 April 4 – May 30 Final: June 6 March 21-25 May 16-20 PR4300. Cogeneration and energy production (T. Poline) (E*) EN1800. Numerical methods in Engineerin Applications (R. Vicquelin) (E*) PR3100 Procédés et Développement durable (M. Stambouli) EN2930. Powertrain Design A. Coussement EN1200. Méca Flu (F. Richecoeur) EN1201 Fluid Mech (R. Vicquelin) (E) EN1500 Nuclear Engineering (P. Yvon) (E*) EN1700. Neutronique et physique des réacteurs nucléaires (R. Lenain) EN1600 Energie renouvelable (JC Vannier) EN1120 Heat transfer (C. Laux) (E) MG1200. Génie Civil (P. Chassagnette) MG2814. Barrages (A. Modaressi) MG2815. Mise en forme des sols. Fleureau MG2812 Acoustique (P.E. Gauthier) MG2817 Finite Elements (G. Puel) (E) EN2910 Aircraft design (D. Breyne) (E) MG2920. ME–Construction durable & architecture (F. Cointe) +2 mardis MG2920. ME–Construction durable & architecture (F. Cointe) +2 mardis MG2818. Petrol. explor. & prod. (P. Persillon) (E) M S I S M V S C E MA2822 Stat. Avancées (Nouvel enseignant) MA2824. Géométrie différentielle (A. Chambert-Loir) MA2620. Equa diff et systèmes dynamiques. L. Dumas MA2825. Algèbre et crypto (D. Vergnaud) MA2827. Foundations of discrete optimization. P. Kumar IS1310. Théorie des Graphes (W. Ouerdane) Passage en anglais? IS1240 High Perform. Computing (E*) (F. Magoules) MA2814 Introduction to Random Modeling (F. Borel-Mathurin) (E) IS1250. Programming for mobile devices, Adell Amri (E) IS1350. Logique mathé matique pour l’info. (P. Le Gall) IS1220. Software Engineering (E) P. Ballarini IS1330 Informatique théorique: Calculabilité et langages formels (M.Aiguier) PH2814. Science-fiction and Physics (E*) (P. Bernaud) PH2813 Adv.materials & novel technologies (B. Dkhil) (E*) PR1100. Introduction to Materials (H. Duval) (E*) IS2960. ME – Electronique (P. Carpène) (EF) PH2812. Introduction to Atomic and Molecular Physics (N. Kebaili) (E*) PH2500. A crash course in modern mathematical physics I. Kornev PH2821 Statistical Physics for socioeconomics (G. Schehr) (E) MG2816. MEMS (D. Aubry) MG1500. Biomécanique E; Vennat PH2820 Technologies Optoélectroniques (P. Lecoy) SE2650 Risk management (E.Zio) (E) SE2800 Production planning & scheduling (C. Chu) (E) SE2750. Modèles stoch. files d’attente (O. Jouini) SE1500. Modélisation d’entreprise (J. Touzi) SE2700 Aide à la décision (V. Mousseau) WP2100. Dévpt durable & techno. (P. Da Costa) SE2550 .Intro Purchasing (P. Rougevin-Baville) (E*) SE3200. Droit 2 (M. Abello) PH2930 ME – Physique Nucl (G. Trap (+2 mardis) WL2100 Leadership in project (L. Roullet) E WL2200 Ethique et responsabilité (J.M. Camelin) SE2500 Stock Management (E. Sahin) (E) ©Ecole Centrale Paris 8 electifs 9 electifs 8 electifs 7 électifs 9 électifs Electifs de S8 de l’année 2014-15 – Industrial Engineering S P I E8 E9 E10 E11 E12 E13a E13b Feb 1 – Mar 18 Final: March 28 Feb 3 – Mar 18 Final: April 8 Feb 4 – May 12 Final: May 26 Mar 30 – May 27 Final: June 8 April 4 – May 30 Final: June 6 March 21-25 May 16-20 PR4300. Cogeneration and energy production (T. Poline) (E*) EN1800. Numerical methods in Engineerin Applications (R. Vicquelin) (E*) PR3100 Procédés et Développement durable (M. Stambouli) EN2930. Powertrain Design A. Coussement EN1200. Méca Flu (F. Richecoeur) EN1201 Fluid Mech (R. Vicquelin) (E) EN1500 Nuclear Engineering (P. Yvon) (E*) EN1700. Neutronique et physique des réacteurs nucléaires (R. Lenain) EN1600 Energie renouvelable (JC Vannier) EN1120 Heat transfer (C. Laux) (E) MG1200. Génie Civil (P. Chassagnette) MG2814. Barrages (A. Modaressi) MG2815. Mise en forme des sols. Fleureau MG2812 Acoustique (P.E. Gauthier) MG2817 Finite Elements (G. Puel) (E) EN2910 Aircraft design (D. Breyne) (E) MG2920. ME–Construction durable & architecture (F. Cointe) +2 mardis MG2920. ME–Construction durable & architecture (F. Cointe) +2 mardis MG2818. Petrol. explor. & prod. (P. Persillon) (E) M S I S M V S C E MA2822 Stat. Avancées (Nouvel enseignant) MA2824. Géométrie différentielle (A. Chambert-Loir) MA2620. Equa diff et systèmes dynamiques. L. Dumas MA2825. Algèbre et crypto (D. Vergnaud) MA2827. Foundations of discrete optimization. P. Kumar IS1310. Théorie des Graphes (W. Ouerdane) Passage en anglais? IS1240 High Perform. Computing (E*) (F. Magoules) MA2814 Introduction to Random Modeling (F. Borel-Mathurin) (E) IS1250. Programming for mobile devices, Adell Amri (E) IS1350. Logique mathé matique pour l’info. (P. Le Gall) IS1220. Software Engineering (E) P. Ballarini IS1330 Informatique théorique: Calculabilité et langages formels (M.Aiguier) PH2814. Science-fiction and Physics (E*) (P. Bernaud) PH2813 Adv.materials & novel technologies (B. Dkhil) (E*) PR1100. Introduction to Materials (H. Duval) (E*) IS2960. ME – Electronique (P. Carpène) (EF) PH2812. Introduction to Atomic and Molecular Physics (N. Kebaili) (E*) PH2500. A crash course in modern mathematical physics I. Kornev PH2821 Statistical Physics for socioeconomics (G. Schehr) (E) MG2816. MEMS (D. Aubry) MG1500. Biomécanique E; Vennat PH2820 Technologies Optoélectroniques (P. Lecoy) SE2650 Risk management (E.Zio) (E) SE2800 Production planning & scheduling (C. Chu) (E) SE2750. Modèles stoch. files d’attente (O. Jouini) SE1500. Modélisation d’entreprise (J. Touzi) SE2700 Aide à la décision (V. Mousseau) WP2100. Dévpt durable & techno. (P. Da Costa) SE2550 .Intro Purchasing (P. Rougevin-Baville) (E*) SE3200. Droit 2 (M. Abello) PH2930 ME – Physique Nucl (G. Trap (+2 mardis) WL2100 Leadership in project (L. Roullet) E WL2200 Ethique et responsabilité (J.M. Camelin) SE2500 Stock Management (E. Sahin) (E) ©Ecole Centrale Paris 8 electifs 9 electifs 8 electifs 7 électifs 9 électifs 4 Spring Semester programs entirely in English in semester S8 - 5 electives: 15 ECTS - Innovation project: 9 ECTS - Humanities and Social Science Module: 2 ECTS - Intensive French: 4 ECTS (including 2 ECTS of Tandem) Important note: students may also elect to substitute any of the courses from columns Elective 8-13 in the main table Applied Physics Industrial Mechanical and Computer science/ Engineering Aerospace Engineering Applied math E8 EN1201. Fluid Mechanics or PR1100. Introduction to materials IS1220. Software Engineering PH2814. Science Fiction and Physics SE2500. Stock management E9 EN1500. Nuclear Engineering or PH2813. Advanced Materials or EN1920. Aerodynamics & Energy Science Lab (1A) IS1240. High perf computing PH2813. Advanced materials or PH1910. Physics Lab (1A) SE2550. Purchasing E10 PR4300. Cogeneration MA2814. Random modeling PH2812. Atomic & molecular physics MA2814. Random modeling E11 EN1800. Numerical methods in Engineering Applications or EN1920. Aerodynamics & Energy Science Lab (1A) or PR2940 Chemical engineering & environment lab IS1250. Programming mobile devices PH2500. Crash course in math. Physics or PH1910. Physics Lab (1A) SE2650. Risk management E12 EN1120. Heat Transfer or MG2817. Finite Elements MA2827. Foundations of discrete optimization PH2821. Statistical physics for socioeconomics or EN1120. Heat Transfer SE2800. Production planning & scheduling E13 EN2910. Aircraft Design or EN2920. Powertrain Design or MG2828. Petroleum ©Ecole Centrale Paris exploration or WL2100. Leadership in Projects WL2100. Leadership in Projects WL2100. Leadership in Projects WL2100. Leadership in Projects 9 4 Spring Quarter programs (March 29-June 8) entirely in English - 3 electives: 9 ECTS - Participation in an Innovation project: 4 ECTS - French: 2 ECTS (Tandem) Mechanical and Aerospace Engineering Computer science/ Applied math Applied Physics Industrial Engineering E11 EN1800. Numerical methods in Engineering Applications or EN1920. Aerodynamics & Energy Science Lab (1A) or PR2940 Chemical engineering & environment lab IS1250. Programming mobile devices PH2500. Crash course in math. Physics or PH1910. Physics Lab (1A) SE2650. Risk management E12 EN1120. Heat Transfer or MG2817. Finite Elements MA2827. Foundations of discrete optimization PH2821. Statistical physics for socioeconomics or EN1120. Heat Transfer SE2800. Production planning & scheduling E13 EN2910. Aircraft Design or EN2920. Powertrain Design or MG2828. Petroleum exploration or WL2100. Leadership in Projects WL2100. Leadership in Projects WL2100. Leadership in Projects WL2100. Leadership in Projects Important note: students may also elect to substitute any of the courses from columns Elective 11, 12, or 13 in the main table ©Ecole Centrale Paris 10