Verified Certificate

Supported by the following organizations

This is to certify that Joaquín Rodolfo Álvarez Lizárraga successfully completed and received a passing grade in MSBD5004x: Mathematical Methods for Data Analysis a course of study offered by HKUSTx, an online learning initiative of The Hong Kong University of Science and Technology.

Noted by

Jianfeng CAI 蔡劍鋒

Jianfeng CAI 蔡劍鋒

Professor, Department of Mathematics The Hong Kong University of Science and Technology

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