Verified Certificate

Supported by the following organizations

This is to certify that 姜宏明 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

Sanjay Sarma

Sanjay Sarma

Vice Provost for Open Learning Massachusetts Institute of Technology

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