Massachusetts Institute of Technology This is to certify that Guanming (Kevin) Qu has successfully completed Calculus 1B: Integration Sept. 13, 2023 - Dec. 20, 2023
David Jerison

Professor

Massachusetts Institute of Technology

Gigliola Staffilani

Abby Rockefeller Mauźe Professor

Massachusetts Institute of Technology

Chris Capozzola

Senior Associate Dean for Open Learning

Professor of History

Massachusetts Institute of Technology

Eric Grimson

Vice President for Open Learning

Massachusetts Institute of Technology

Valid Certificate ID: 10cfd201-5739-442d-b9ca-18ccf2f96281

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