Verified Certificate

Supported by the following organizations

This is to certify that Christopher Esposo successfully completed and received a passing grade in 69506x: Boltzmann Law: Physics to Computing a course of study offered by PurdueX, an online learning initiative of Purdue University.

Noted by

Supriyo Datta

Supriyo Datta

Thomas Duncan Distinguished Professor of Electrical and Computer Engineering Purdue University

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