## Instructor of 18.200A - Principles of Discrete Applied Mathematics

Undergraduate course, *MIT Math*, 2020

Topics in discrete applied mathematics, such as probability, information theory, coding theory, generating functions, and linear programming.

Undergraduate course, *MIT Math*, 2020

Topics in discrete applied mathematics, such as probability, information theory, coding theory, generating functions, and linear programming.

Undergraduate course, *MIT Math*, 2020

Studies basic continuous control theory as well as representation of functions in the complex frequency domain. Covers generalized functions, unit impulse response, and convolution; and Laplace transform, system (or transfer) function, and the pole diagram. Includes examples from mechanical and electrical engineering.

Undergraduate course, *MIT Math*, 2019

Topics in discrete applied mathematics, such as probability, information theory, coding theory, generating functions, and linear programming.

Undergraduate course, *MIT Math*, 2019

Topics in discrete applied mathematics, such as probability, information theory, coding theory, generating functions, and linear programming. This is a communication intensive subject.

Undergraduate course, *MIT Math*, 2018

Calculus of several variables. The honors section puts more focus on mathematical concepts.

Graduate course, *MIT EECS*, 2017

Graduate-level introduction to the principles of statistical inference with probabilistic models defined using graphical representations.

Graduate course, *MIT EECS*, 2016

Research-oriented course, focused on algebraic and computational techniques for optimization problems involving polynomial equations and inequalities, with particular emphasis on the connections with semidefinite optimization.

Graduate course, *MIT EECS*, 2014

Introduction to linear optimization and its extensions, emphasizing the underlying mathematical structures, geometrical ideas, algorithms and solutions of practical problems.

Undergraduate course, *MIT EECS*, 2014

Elementary discrete mathematics for computer science and engineering. Emphasis on mathematical definitions and proofs as well as on applicable methods.

Undergraduate course, *Universidad de los Andes*, 2011

A first course in linear algebra.

Undergraduate course, *Universidad de los Andes*, 2010

Mathematical concepts for electrical engineering, such as calculus of complex variable, partial differential equations and numerical methods.

Math olympiads, *Universidad Antonio Nariño*, 2010

Instructor of Algebra, Combinatorics and Geometry at the Colombian Math Olympiads during 2010–2012.