MITx Online | Certificate for: Introduction to Mechanics: Simple Harmonic Motion and Non-Inertial Reference Frames

Massachusetts Institute of Technology

This is to certify that Francisco Manuel Oropeza Lucena has successfully completed Introduction to Mechanics: Simple Harmonic Motion and Non-Inertial Reference Frames Issued: Jan. 21, 2026

Deepto Chakrabarty

Professor of Physics, Department Head

Massachusetts Institute of Technology

Peter Dourmashkin

Senior Lecturer

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: 67e36075-ea7d-4b86-b9db-2215a52e54ed