Verified Certificate

Supported by the following organizations

This is to certify that PABLO ANDRES DE VILLEROS ARIAS successfully completed and received a passing grade in optimizationX-1: Optimization: principles and algorithms - Linear optimization a course of study offered by EPFLx, an online learning initiative of Ecole Polytechnique Federale de Lausanne.

Noted by

Michel Bierlaire

Michel Bierlaire

Professor École polytechnique fédérale de Lausanne

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About edX Verified Certificates

An edX Verified Certificate signifies that the learner has agreed to abide by the edX honor code and completed all of the required tasks of this course under its guidelines, as well as having their photo ID checked to verify their identity.