Deadlines for registration august 30, 2017
note: Deadline for requesting financial support august 10, 2017
Date and Time
September 4-29, 2017. 09:00 to 15:00 h.
Sala de Usos Múltiples del MCTP,
Ciudad Universitaria Carretera Emiliano Zapata Km. 8,
Real del Bosque (Terán).
Tuxtla Gutiérrez, Chiapas, México.
MCTP, CONACYT and UNAM.
Horst R Beyer, UNAM-MCTP, firstname.lastname@example.org
Maricela Beyer, MCTP, email@example.com
There is a rapid increase in the application of more advanced mathematics,
in particular, in physics, engineering and technology. In particular, current
modern applications are dominated by the mathematical field of partial
On the other hand, courses in partial differential equations (PDE) are still
relatively rare in mathematics departments. Therefore, a significant increase
of courses in this area of mathematics needs to become a priority.
In this connection, it needs to be taken into account that specialist courses in
PDE, usually require a considerable background of functional analysis, which
cannot always be expected from students from applications, like physicists
and engineers. On the other hand, a considerable part of PDE can be taught
using “classical methods, ” that require little more than good mastery
“calculus/analysis,” without the necessity of sacrificing mathematical rigor.
In addition, such a course provides the basis as well as motivation for taking
courses in PDE that rely heavily on functional analysis methods, such as
courses given by one of the main organizers, Horst R Beyer, in abstract quasilinear evolution equations.
for the certificate:
a) Attend 90 % of course
b) Accredit the final examination
c) Payment of $ 200 MX
2 Basic Definitions
3 Three Main Examples of PDE
4 First-Order Quasi-Linear PDE for One Real-Valued Function
4.1 The Linear Case
4.1.1 Integral Curves of Vector Fields
4.1.2 The Linear Case
4.1.3 Characteristic Surfaces
4.1.4 Time Decay of Solutions of PDE (“Energy Method”)
4.2 The Quasi-Linear Case
4.2.1 Incompressible Euler’s Equations in One Space Dimension
5 Systems of Quasi-Linear PDE
5.1 Linear Symmetric Hyperbolic Systems
5.2 Compressible Euler’s Equations in One Space Dimension
5.3 Hyperbolic Systems
5.4 The Inhomogeneous Wave Equation in One Space Dimension
6 Second-Order PDE for One Unknown Function
6.1 Classification of Quasi-Linear Second-Order PDE
6.1.1 Second-Order Equations With Constant Coefficients
6.2 Main Examples of Hyperbolic Equations
6.2.1 The Wave Equation in Three Space Dimensions
6.2.2 The Wave Equation in Two Space Dimensions
6.2.3 Inhomogeneous Wave Equations
6.3 Conservation Laws for Wave Equations
6.4 Main Examples of Elliptic Equations
6.4.1 The Method of Separation of Variables
6.4.2 Simple Transformations of the Laplace Operator
6.4.3 Strong Maximum Principles
6.5 Green’s Representation Formula
6.6 The Solution of the Dirichlet Problem for Balls in
6.7 Heat Equation
Interested persons should pre-register using the "Pre-registro" https://goo.gl/DBhHA0
After preregistration, persons from Mesoamerica in need of support
can apply for support for lodging and transportation. In this case,
please, send your application letter plus CV to: firstname.lastname@example.org.
(Note that financial support is granted only to selected participants, after