Supported by the following organizations
This is to certify that Çağlan Turgut successfully completed and received a passing grade in 18.031x: Introduction to Differential Equations a course of study offered by MITx, an online learning initiative of the Massachusetts Institute of Technology.
Noted by
David Jerison
Professor Department of Mathematics Massachusetts Institute of Technology
Krishna Rajagopal
Dean for Digital Learning Massachusetts Institute of Technology
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- Verified Certificate Issued September 8, 2021
- Valid Certificate ID 34ba67e14ec140b89d1a8fc1273cc9b4