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Teaching

In this page you can find information about the courses I am currently teaching and of those I have lectured in the past, about the students I have mentored, as well as links to didactic material. Use the menu on the right to navigate through.

Current courses

During the 2017-2 term, I am teaching the following courses (click through for more info):


Lecture notes and auxiliary material

  1. A. Capella, R.G. Plaza, Partial Differential Equations, (in Spanish). In preparation.
  2. R.G. Plaza, Hyperbolic Systems of Conservation Laws, (in Spanish). In preparation.


Theses currently under supervision


Theses supervised

M.Sc.

  1. Felipe Ángeles, Dissipative structure of viscous systems of conservation laws (in Spanish). M.Sc. in Mathematics, Facultad de Ciencias, UNAM. November, 2016. [PDF]
  2. 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]
  3. Ignacio Pérez, Multidimensional stability of phase transitions for first order hyperbolic systems (in Spanish). M.Sc. Thesis (Mathematics), Facultad de Ciencias, UNAM. March, 2012.
  4. 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.

  1. 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]
  2. 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]
  3. 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

  1. Advanced Course of Partial Differential Equations: Hilbert space methods
    Graduate Program in Mathematical Sciences, UNAM.
    Course homepage (in Spanish)
  2. Partial Differential Equations
    Graduate Program in Mathematical Sciences, UNAM, 2016-2 term
    Course homepage (in Spanish)
  3. Advanced Differential Equations: Hyperbolic Systems of Conservation Laws
    Graduate Program in Matematical Sciences, UNAM, 2015-II Term
    Course homepage (in Spanish)
  4. Partial Differential Equations
    Graduate Program in Mathematical Sciences, UNAM, 2015-I Term
    Course homepage (in Spanish)
  5. Advanced Differential Equations: Hyperbolic Systems of Conservation Laws
    Graduate Program in Mathematical Sciences, UNAM, 2014-I Term
    Course homepage (in Spanish).
  6. Partial Differential Equations
    Graduate Program in Mathematical Sciences, UNAM, 2013-II Term
    Course homepage (in Spanish)
  7. Applied Partial Differential Equations
    Erasmus Mundus M. Sc. Programme in Mathematical Modelling and Engineering (MathMods)
    University of L'Aquila, Italy. September-December 2012.
  8. Advanced Differential Equations: Introduction to Hyperbolic Systems of Conservation Laws
    Graduate Program in Mathematical Sciences, UNAM, 2011-I Term
    Course homepage (in Spanish).
  9. Advanced Differential Equations: Hyperbolic Systems of Conservation Laws
    Graduate Program in Mathematical Sciences, UNAM, 2010-I Term
    Course homepage (in Spanish).

Undergraduate courses

  1. Partial Differential Equations II
    School of Sciences, UNAM, Term 2015-I
    Course Homepage (in Spanish).
  2. Partial Differential Equations I
    School of Sciences, UNAM. Term 2014-II
    Course homepage (in Spanish).
  3. Partial Differential Equations I
    School of Sciences, UNAM. Term 2012-II
    Course homepage (in Spanish).
  4. Ordinary Differential Equations I
    School of Sciences, UNAM. Term 2012-I
    Course Homepage (in Spanish).
  5. Partial Differential Equations I
    School of Sciences, UNAM. Term 2010-II
    Course homepage (in Spanish).
  6. Ordinary Differential Equations I
    School of Sciences, UNAM. Term 2009-II
    Course homepage (in Spanish).
  7. Partial Differential Equations II
    School of Sciences, UNAM. Term 2008-II
    Course homepage (in Spanish).
  8. Complex Analysis (with H. Freistühler) (in English)
    University of Leipzig, Germany, Spring term 2006.
  9. Conservation Laws Seminar (with H. Freistühler) (in English)
    University of Leipzig, Germany, Spring term 2006
  10. Differential and Integral Calculus II (with A. Schüler) (in English)
    University of Leipzig, Germany, Fall term 2005
  11. Ordinary Differential Equations for Physicists (with W. König)
    University of Leipzig, Germany, Spring term 2005
  12. Discrete Mathematics
    New York University, Summer term 2003
  13. Discrete Mathematics
    Fordham University, New York, Fall term 2002
  14. Financial Calculus
    Fordham University, New York, Fall term 2002
  15. Differential and Integral Calculus III
    New York University, Spring term 2001
  16. Business Calculus
    New York University, Spring term 2000