Massachusetts Institute of Technology This is to certify that YUTARO HIYAMA has successfully completed Analysis of Transport Phenomena: Models Issued: Feb. 2, 2026
Martin Bazant

E. G. Roos (1944) Professor, Digital Learning Officer, Professor of Mathematics

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: 55c9ea0e-db43-42fc-a430-cf8c6ea0bc1e

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