Massachusetts Institute of Technology This is to certify that Craig Arlin Chambers has successfully completed Calculus 1A: Differentiation Issued: Aug. 27, 2022
David Jerison

Professor

Massachusetts Institute of Technology

Gigliola Staffilani

Abby Rockefeller Mauźe Professor

Massachusetts Institute of Technology

Sanjay Sarma

Vice President for Open Learning

Massachusetts Institute of Technology

Valid Certificate ID: 2b1da9cd-32cf-4d9c-9405-6e0789a8a6d3

© 2026 Massachusetts Institute of Technology