Verified Certificate

Supported by the following organizations

This is to certify that ashish kumar successfully completed and received a passing grade in 2.005.1x: Thermal-Fluids Engineering 1: Basics of Thermodynamics and Hydrostatics a course of study offered by MITx, an online learning initiative of the Massachusetts Institute of Technology.

Noted by

Pierre F.J. Lermusiaux

Pierre F.J. Lermusiaux

Nam Pyo Suh Professor in Mechanical Engineering at MIT Massachusetts Institute of Technology

Dimitris Bertsimas

Dimitris Bertsimas

Vice Provost for Open Learning Massachusetts Institute of Technology

Chris Capozzola

Chris Capozzola

Senior Associate Dean for Open Learning; Professor of History Massachusetts Institute of Technology

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