Supported by the following organizations
This is to certify that Jeremy Kulcsar successfully completed and received a passing grade in 15.455x: Mathematical Methods for Quantitative Finance a course of study offered by MITx, an online learning initiative of the Massachusetts Institute of Technology.
Noted by

Paul F. Mende
Senior Lecturer MIT Sloan School of Management

Egor Matveyev
Senior Lecturer MIT Sloan School of Management

Krishna Rajagopal
Dean for Digital Learning Massachusetts Institute of Technology
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- Verified Certificate Issued October 21, 2021
- Valid Certificate ID 3d1ef9faad8a45a99c30edaf774dcb2c