The KiDaeSu series—short for “From Basics to Graduate Mathematics”—is designed specifically to help undergraduate math majors like you build a strong foundation for pursuing a Ph.D. in mathematics or any advanced mathematical path. Whether your interests lie in pure mathematics, applied math, statistics-ML, Finance, or mathematical data science, this series will equip you with the essential background knowledge to succeed in graduate study.
We begin with set theory, the language of all modern mathematics, and carefully build up through Introduction to real analysis, topology, linear algebra, abstract algebra, multivariable analysis, measure theory. Each topic is presented with clarity and mathematical rigor, but also with accessibility in mind.
A special emphasis is placed on how key results—like the Fundamental Theorem of Calculus—extend and generalize across mathematical domains, from single-variable analysis to integration on manifolds.
By following the KiDaeSu path, you will not only strengthen your proof-writing and conceptual understanding but also gain insights into how these deep ideas support modern applications in machine learning, quantum computing, data science, and theoretical physics.
This series has already supported hundreds of learners in Korea through structured study groups. We’re now expanding into English to support international learners—including our TXST students—and invite you to be part of this journey. Let’s explore the beauty and depth of mathematics together.
Look at this video for intro of this series. If you’re interested in participating—especially students at TXST or any English-speaking students—please feel free to send me an introductory email at: wvx17@txstate.edu. For participation, it is required to turn on the camera, as I define this as a public service without tuition fee (except membership service who considered to join the youtube community which is not mandatory for this study).
0. Orientation (July 31th, 2025), recorded video