This certificate confirms the successful completion of the **Foundations of Mathematical Proof and Reasoning** seminar by [Arrow15](https://arrow15.org). The program is designed to facilitate the critical transition from computational mathematics to abstract, proof-based study. Students engaged in rigorous, Inquiry-Based Learning (IBL) to master fundamental concepts in mathematical logic and formal proof construction, motivated by topics in real analysis. Students developed the advanced analytical and reasoning skills essential for upper-division university coursework and complex problem-solving in technical careers.