Massachusetts Institute of Technology This is to certify that Ruo-Yu Pey has successfully completed all courses and received passing grades to earn a Series program certificate in Introduction to Mechanics a program of study offered by MITx, an online learning initiative of the Massachusetts Institute of Technology
 Issued: Jan. 22, 2026
Krishna Rajagopal

William A. M. Burden Professor of Physics

Massachusetts Institute of Technology

Dimitris Bertsimas

Vice Provost for Open Learning

Associate Dean, Online Education and Artificial Intelligence

Boeing Professor of Operations Research

Massachusetts Institute of Technology

Valid Certificate ID: 2fa89496-a8d2-408c-8d0f-2d4596864f26

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