Verified Certificate

Supported by the following organizations

This is to certify that James Long successfully completed and received a passing grade in 18.01.2x: Calculus 1B: Integration a course of study offered by MITx, an online learning initiative of the Massachusetts Institute of Technology.

Noted by

David Jerison

David Jerison

Professor Department of Mathematics Massachusetts Institute of Technology

Gigliola Staffilani

Gigliola Staffilani

Abby Rockefeller Mauzé Professor Department of Mathematics Massachusetts Institute of Technology

Eric Grimson

Eric Grimson

Interim Vice President for Open Learning Massachusetts Institute of Technology

Chris Capozzola

Chris Capozzola

Senior Associate Dean for Open Learning Professor of History Massachusetts Institute of Technology

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