Xavier Gràcia: docència / teaching

Docència / Teaching

Facultat de Matemàtiques i Estadística

Escola d'Enginyeria de Telecomunicació de Barcelona

A banda de les classes, he tingut diverses responsabilitats docents i he dirigit diversos treballs d'estudiants (treballs dirigits, projectes de fi de carrera, treballs de fi de màster).

Besides teaching I have advised several students' dissertations.

Tesis doctorals (Matemàtiques) / PhD theses (Mathematics)

Rubén Martín Grillo
Some geometric aspects of implicit dynamical systems (22-02-2007)
Xavi Rivas Guijarro
Geometrical aspects of contact systems and field theories (17-12-2021)
(co-advisor: Narciso Román-Roy)

Treballs de fi de màster (Matemàtiques) / Master theses (Mathematics)

Hèctor Marañón Ledesma
Simetries d'equacions diferencials (2008)
Bernat Joseph i Duran
Sistemes de Lie i l'equació de Riccati matricial (2009)
Hèctor Castejón Díaz
Solution of implicit differential equations using desingularization theory (2012)
Xavi Rivas Guijarro
Constraint algorithm for singular k-cosymplectic field theories (2015)
(co-advisor: Narciso Román-Roy)

Projectes de fi de carrera (Telecomunicació) / Final theses (Telecommunications Engineering)

Jordi Solé Amat
Resolució d'equacions diferencials singulars mitjançant MAPLE V (1995)
Jaume Moragues Albacar
Formulació relativista de les equacions de posicionament del sistema GPS (2008)
David Rivera Muñoz
Positioning systems on light coordinates (2016)

Treballs de fi de grau (Matemàtiques) / Degree theses (Mathematics)

Ramon Canet Carbonell
Escales musicals, espectre harmònic i teoria de la dissonància (16-07-2013)
Tomás Sanz Perela
De l'equació d'ones a l'afinació del piano: un model basat en la teoria de la dissonància (17-07-2015)
Laura Farré Rozada
Escales musicals i fraccions contínues (23-10-2015)
Íñigo Urtiaga Erneta
Geometric mechanics and Hamilton-Jacobi theory (24-01-2017)
Manuel Gijón Agudo
Modelos matemáticos de la disonancia (10-07-2017)
Gaspar Pérez Scornik
A brief introduction to synthetic differential geometry (15-09-2017)
Francisco Fletcher Santfeliu
La matemàtica dels ritmes musicals (23-01-2020)
Raül Navarro Fons
L'embolcall vectorial: del món afí al món lineal (17-07-2020)
Alejandro Garcia Herrera
Combinatòria d'escales musicals i acords (18-05-2021)

Webs d'assignatures / Webs of some courses

I maintain some personal web pages of my courses. There you can find information and some teaching publications, most of then written in Catalan.
All the documents have been generated using TeX (of course!), in paper sizes A4 (for printer) or A5 (more suitable for mobile devices or booklet printing).

Algunes assignatures antigues / Some old courses

200.006 Càlcul Integral (GM) / Integral Calculus

200.121 Topologia (GM) / Topology

200.004 Càlcul Diferencial (GM) / Differential Calculus

230.001 Càlcul (GT) / Calculus

230.006 Càlcul Avançat (GT-2009) / Advanced Calculus

34966 Differentiable Manifolds (MAMME)

10025 Geometria Diferencial 2 (LM-1992) / Differential Geometry 2

51528 Música i Matemàtiques (LM-1992) [Music and Mathematics]

48039 Varietats Diferencials (MMA-2006) / Differential Manifolds

10018 Geometria Diferencial 1 (LM-1992) / Differential Geometry 1

12804 Ampliació de Models Matemàtics de la Física (LM-1992) / Advanced Mathematical Models of Physics

11473 Equacions Diferencials (ET-1992) / Differential Equations

11471 Anàlisi Vectorial (ET-1992) / Vector Analysis

Titulacions actuals [present degrees]: GM=Grau de Matemàtiques (2009) GT=Grau en Enginyeria de Tecnologies i Serveis de Telecomunicació (2015) GEF=Grau en Enginyeria Física (2011) MAMME=Master in Advanced Mathematics and Mathematical Engineering (2010).
Titulacions antigues [former degrees]: ET-1992=Enginyeria de Telecomunicació (1992) GT-2009=Graus de Telecomunicació (2009) LM-1992=Llicenciatura de Matemàtiques (1992) MMA-2006=Màster de Matemàtica Aplicada (2006) DMA=Programa de doctorat de Matemàtica Aplicada.

Assignació docent / Teaching assignments

2024 spring: Music and Mathematics (GM) Probability and Statistics (GT)
2023 fall: Differentiable Manifolds (theory) (GM), Mathematical Methods 2 (GEF)
2023 spring: Differential Geometry (problems) (GM), Probability and Statistics (GT)
2022 fall: Differentiable Manifolds (theory) (GM), Mathematical Methods 2 (GEF)
2022 spring: Topology (problems) (GM), Differential Geometry (problems) (GM), Probability and Statistics (GT)
2021 fall: Differentiable Manifolds (theory) (GM), Mathematical Methods 2 (GEF)
2021 spring: Topology (problems) (GM), Mathematics of Telecommunication (theory and problems) (GT)
2020 fall: Differentiable Manifolds (theory) (GM), Multilinear Algebra and Geometry (problems) (GM), Probability and Statistics (GT)
2020 spring: Topology (problems) (GM), Mathematics of Telecommunication (GT)
2019 fall: Differentiable Manifolds (theory) (GM), Multilinear Algebra and Geometry (problems) (GM), Probability and Statistics (GT)
2019 spring: Mathematics of Telecommunication (GT)
2018 fall: Differentiable Manifolds (theory) (GM), Integral Calculus (theory) (GM)
2018 spring: Mathematics of Telecommunication (GT)
2017 fall: Differentiable Manifolds (theory) (GM), Integral Calculus (theory) (GM)
2017 spring: Mathematics of Telecommunication (GT)
2016 fall: Differentiable Manifolds (theory) (GM), Integral Calculus (theory) (GM)
2016 spring: Calculus (GT), Mathematics of Telecommunication (GT)
2015 fall: Differentiable Manifolds (theory) (GM), Integral Calculus (problems) (GM)
2015 spring: Calculus (GT-2009), Differential Calculus (problems) (GM), Differentiable Manifolds (MAMME)
2014 fall: Differentiable Manifolds (theory) (GM), Integral Calculus (problems) (GM)
2014 spring: Differential Calculus (problems) (GM), Differentiable Manifolds (MAMME)
2013 fall: Advanced Calculus (GT-2009), Integral Calculus (problems)
2013 spring: Differential Calculus (problems) (GM), Differentiable Manifolds (MAMME)
2012 fall: Advanced Calculus (GT-2009)
2012 spring: Advanced Calculus (GT-2009), Differentiable Manifolds (MAMME)
2011 fall: Calculus (GT-2009), Advanced Mathematical Models of Physics (LM-1992)
2011 spring: Advanced Calculus (GT-2009)
2010 fall: Differential Geometry 1 (problems) (LM-1992), Music and Mathematics (LM-1992)
2010 spring: Differential Manifolds (MMA-2006), Vector Analysis (lab) (ET-1992)
2009 fall: Advanced Mathematical Models of Physics (LM-1992), Differential Geometry 1 (problems) (LM-1992)
2009 spring: Differential Geometry 2 (LM-1992), Differential Manifolds (MMA-2006), Music and Mathematics (LM-1992)
2008 fall: on sabbatical license
2008 spring: Differential Geometry 2 (LM-1992), Differential Manifolds (MMA-2006), Vector Analysis (lab) (ET-1992)
2007 fall: Music and Mathematics (LM-1992), Differential Geometry 1 (problems) (LM-1992), Seminar on Geometry I (MMA-2006)
2007 spring: Differential Geometry 2 (LM-1992), Differential Manifolds (MMA-2006)
2006 fall: Music and Mathematics (LM-1992), Differential Geometry 1 (problems) (LM-1992), Seminar on Geometry I (MMA-2006)
2006 spring: Differential Geometry 2 (LM-1992)
2005 fall: Advanced Mathematical Models of Physics (LM-1992), Music and Mathematics (LM-1992)
2005 spring: Differential Geometry 2 (LM-1992), Vector Analysis (lab) (ET-1992)
2004 fall: Differential Equations (ET-1992), Vector Analysis (lab) (ET-1992)
2004 spring: Differential Geometry 2 (LM-1992), Vector Analysis (lab) (ET-1992)
2003 fall: Vector Analysis (ET-1992)
2003 spring: Vector Analysis (ET-1992), Differential Manifolds (DMA)
2002 fall: Advanced Mathematical Models of Physics (LM-1992), Vector Analysis (lab) (ET-1992)
2002 spring: Vector Analysis (ET-1992)
2001 fall: Differential Equations (ET-1992), Vector Analysis (lab) (ET-1992)
2001 spring: Vector Analysis (ET-1992), Differential Manifolds (DMA)
2000 fall: Differential Equations (ET-1992), Vector Analysis (lab) (ET-1992)
2000 spring: Vector Analysis (ET-1992), Differential Manifolds (DMA)
1999 fall: Advanced Mathematical Models of Physics (LM-1992)
1999 spring: Differential Geometry 2 (problems) (LM-1992), Vector Analysis (ET-1992), Differential Manifolds (DMA)
1998 fall: Mathematics of Telecommunication (ET-1992), Vector Analysis (lab) (ET-1992)
1998 spring: Differential Geometry 2 (problems) (LM-1992), Vector Analysis (ET-1992), Lie groups and symmetries (DMA)
y < 1998: Some of the above, plus Linear Algebra.

Back to Xavier Gràcia's home page

This web page: https://web.mat.upc.edu/xavier.gracia/docencia.html. Last update: 11 February 2024.

Docència / Teaching

Webs d'assignatures / Webs of some courses

Assignació docent / Teaching assignments