Current courses
During the 2017-2 term, I am teaching the following courses (click through for more info):
- Partial Differential Equations
Graduate Program in Mathematical Sciences, UNAM, 2016-2 term
Course homepage (in Spanish)
Lecture notes and auxiliary material
- A. Capella, R.G. Plaza, Partial Differential Equations, (in Spanish). In preparation.
- R.G. Plaza, Hyperbolic Systems of Conservation Laws, (in Spanish). In preparation.
Theses currently under supervision
- Enrique Álvarez, Ph.D. Thesis
Graduate Program in Mathematics, UNAM - Juan Francisco Leyva, Ph.D. Thesis
Graduate Program in Mathematics, UNAM - Fabio Vallejo, Ph.D. Thesis
Graduate Program in Mathematics, UNAM - Felipe Ángeles, Ph.D. Thesis
Graduate Program in Mathematics, UNAM - Isaí Padilla, M.Sc. Thesis
Graduate Program in Mathematics, UNAM - Eduardo Parra, B. Sc. Thesis (Mathematics)
School of Sciences, UNAM - Edgar Ávalos, B. Sc. Thesis (Mathematics)
School of Sciences, UNAM - Javier Rojas, B. Sc. Thesis (Physics)
School of Sciences, UNAM
Theses supervised
M.Sc.
- Felipe Ángeles, Dissipative structure of viscous systems of conservation laws (in Spanish). M.Sc. in Mathematics, Facultad de Ciencias, UNAM. November, 2016. [PDF]
- Alejandro Butanda, Spectral methods in the study of traveling wave fronts for reaction diffusion equations (in Spanish). M.Sc. in Mathematics, Facultad de Ciencias, UNAM. June, 2016. [PDF]
- Ignacio Pérez, Multidimensional stability of phase transitions for first order hyperbolic systems (in Spanish). M.Sc. Thesis (Mathematics), Facultad de Ciencias, UNAM. March, 2012.
- Juan Francisco Leyva, On the admissibility criteria for solutions to Lighthill-Whitham traffic models (in Spanish). M.Sc. in Mathematics, Facultad de Ciencias, UNAM. August, 2010. [PDF]
B.Sc.
- Karina Islas, Mathematical modeling of chemotaxis and existence of traveling waves (in Spanish). Honors B.Sc. Thesis (Mathematics), School of Sciences, UNAM. April, 2015. [PDF]
- Felipe Ángeles, Viscous shock profiles for the Navier-Stokes equations of compressible flow (in Spanish). Honors B.Sc. Thesis (Physics), School of Sciences, UNAM. November, 2014. [PDF]
- Mónica Romero, Mathematical study of an anti-angiogenesis model for secondary tumors (in Spanish). Honors B.Sc. Thesis (Mathematics), School of Sciences, UNAM. August 2010. [PDF]
Past Courses
Graduate courses
- Advanced Course of Partial Differential Equations: Hilbert space methods
Graduate Program in Mathematical Sciences, UNAM.
Course homepage (in Spanish) - Partial Differential Equations
Graduate Program in Mathematical Sciences, UNAM, 2016-2 term
Course homepage (in Spanish) - Advanced Differential Equations: Hyperbolic Systems of Conservation Laws
Graduate Program in Matematical Sciences, UNAM, 2015-II Term
Course homepage (in Spanish) - Partial Differential Equations
Graduate Program in Mathematical Sciences, UNAM, 2015-I Term
Course homepage (in Spanish) - Advanced Differential Equations: Hyperbolic Systems of Conservation Laws
Graduate Program in Mathematical Sciences, UNAM, 2014-I Term
Course homepage (in Spanish). - Partial Differential Equations
Graduate Program in Mathematical Sciences, UNAM, 2013-II Term
Course homepage (in Spanish) - Applied Partial Differential Equations
Erasmus Mundus M. Sc. Programme in Mathematical Modelling and Engineering (MathMods)
University of L'Aquila, Italy. September-December 2012. - Advanced Differential Equations: Introduction to Hyperbolic Systems of
Conservation Laws
Graduate Program in Mathematical Sciences, UNAM, 2011-I Term
Course homepage (in Spanish). - Advanced Differential Equations: Hyperbolic Systems of Conservation
Laws
Graduate Program in Mathematical Sciences, UNAM, 2010-I Term
Course homepage (in Spanish).
Undergraduate courses
- Partial Differential Equations II
School of Sciences, UNAM, Term 2015-I
Course Homepage (in Spanish). - Partial Differential Equations I
School of Sciences, UNAM. Term 2014-II
Course homepage (in Spanish). - Partial Differential Equations I
School of Sciences, UNAM. Term 2012-II
Course homepage (in Spanish). - Ordinary Differential Equations I
School of Sciences, UNAM. Term 2012-I
Course Homepage (in Spanish). - Partial Differential Equations I
School of Sciences, UNAM. Term 2010-II
Course homepage (in Spanish). - Ordinary Differential Equations I
School of Sciences, UNAM. Term 2009-II
Course homepage (in Spanish). - Partial Differential Equations II
School of Sciences, UNAM. Term 2008-II
Course homepage (in Spanish). - Complex Analysis (with H. Freistühler) (in English)
University of Leipzig, Germany, Spring term 2006. - Conservation Laws Seminar (with H. Freistühler) (in English)
University of Leipzig, Germany, Spring term 2006 - Differential and Integral Calculus II (with A. Schüler) (in English)
University of Leipzig, Germany, Fall term 2005 - Ordinary Differential Equations for Physicists (with W. König)
University of Leipzig, Germany, Spring term 2005 - Discrete Mathematics
New York University, Summer term 2003 - Discrete Mathematics
Fordham University, New York, Fall term 2002 - Financial Calculus
Fordham University, New York, Fall term 2002 - Differential and Integral Calculus III
New York University, Spring term 2001 - Business Calculus
New York University, Spring term 2000