Music Theory

A working understanding of calculus — the mathematics of change and accumulation. The trunk gives you the throughline from limits and derivatives through the Fundamental Theorem to the borderlands where calculus hands off to analysis. Clusters dive into rigorous limits, integration techniques, multivariable and vector calculus, differential equations, series, and complex analysis.

How markets, brokers, and order books actually work — and what the evidence says about trying to beat them. The trunk covers market mechanics, asset classes, leverage, and the risk math every participant needs; clusters dive into microstructure, execution, the retail arenas, sizing math, psychology, manias, and strategy evidence.

A comprehensive, 5-pillar curriculum that builds a complete mathematical education from foundational reasoning through advanced applications. Covers proof writing, algebra, trigonometry, the full calculus sequence, linear algebra, abstract algebra, discrete mathematics, probability, statistics, optimization, game theory, and mathematical modeling. Designed for polymaths who want deep mathematical fluency and strongest when paired with career tracks in data science, software engineering, or quantitative fields. The specific applications evolve but the mathematical structures — groups, spaces, measures, graphs — are eternal.

A beginner-friendly curriculum that builds deep intuition for how AI actually works — not through math or code, but through mental models that make effective use a natural consequence of understanding. Covers how language models think, why they hallucinate, the art of prompting, practical AI workflows for writing, images, and code, and the societal shifts AI is driving. Designed for anyone curious enough to want more than tips and tricks.

Legal literacy — how law actually works. The trunk gives you the operating system: where law comes from, how courts and precedent work, contracts, torts, property, criminal vs civil, and constitutional structure. Clusters dive into reading cases, contract mechanics, IP, your rights with police, and the startup legal toolkit.

A coherent, mechanistic picture of how the Earth actually works as a coupled system — its biogeochemical cycles, climate physics, ecosystems, pollution pathways, and the leverage points where solutions live. The trunk gives you the throughline a working professional needs to reason about environmental claims; clusters dive into circulation, ecology, paleoclimate, climate modeling, pollution, energy, and mitigation.