Massachusetts Institute of Technology This is to certify that Patrick Jiri Medlen has successfully completed Multivariable Calculus 2: Integrals Jan. 17, 2024 - April 24, 2024
Lawrence Guth

C. E. Shannon (1940) Professor in Mathematics

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: 1d6a5c07-4bba-45a4-a8a2-8d206d2b8309

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