Massachusetts Institute of Technology This is to certify that Denys Aleksandrov has successfully completed all courses and received passing grades to earn a Series program certificate in Differential Calculus a program of study offered by MITx, an online learning initiative of the Massachusetts Institute of Technology
 Issued: Sept. 3, 2025
David Jerison

Professor

Massachusetts Institute of Technology

Chris Capozzola

Senior Associate Dean for Open Learning

Professor of History

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: 4671bcba-0aa3-4402-820e-91745157f6ff

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