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Massachusetts Institute of Technology This is to certify that Takayuki Mashima has successfully completed Mechanics of Deformable Structures: Part 1 Issued: May 26, 2026
Simona Socrate

Senior Lecturer, Department of Mechanical Engineering

Massachusetts Institute of Technology

David M Parks

Professor, Department of Mechanical Engineering

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