Docencia

This teaching statements proposal to be developed for students in the undergraduate and graduate level, and scientific research in the following areas:

Fractional Calculus.-

Ordinary Differential Equations. -

Partial Differential Equations Part I and II. -

Mathematical Methods for Physics Part I and II. -

Real and Complex Analysis.-

Integral equations and Fredholms theory. -

Distributions Solutions of Differential Equations. -

Methods for solutions of elliptic equations.-

Math history.-

Specialized Area: 

• 1. Clifford algebras and Clifford Analysis (Classical and generalized).

  2. Boundary Value Problems in Clifford Algebras (Classic and generalized).

  3. Initial value problems and associated spaces in Clifford Algebras (Classic and generalized).

  4. Fundamental solutions and integral representations in Clifford Analysis (Classical and generalized).

  5. Complex methods for solutions of differential equations.

  6. Boundary Value Problems in Complex Analysis. 

  7. Fractional Calculus in Hypercomplex analysis

TEACHING EXPERIENCE

1998-1999. 

Mathematics and Logic Teacher at the Instituto Universitario de Profesiones Gerenciales (IUPG), Caracas, Venezuela.

2005-2008. 

Academic Assistant, Mathematics Department, Universidad Sim'on Bol'ivar.

2009-2010. 

Lecturer, Mathematics Department, Universidad Sim'on Bol'ivar. 

2011-2014.

 Tenure Mathematics Professor, Mathematics Department, Universidad Sim'on Bol'ivar. Level: Agregado (Aggregate)

2011-2014.

 Math Advisor at the Colegio Integral El 'Avila, Caracas.

2014-2016. 

(August 31).Lecturer, School of Mathematics, Universidad de Investigaci'on de Tecnolog'ia Experimental YACHAY (YACHAY TECH), Ecuador

2016-2017. 

Lecturer, Mathematics Department, Penn State University, USA.

Since August 2017

Professor at the Universidad San Francisco de Quito, Ecuador