Java

A working understanding of probability and statistics — how to reason under uncertainty, turn data into claims, and recognize when those claims are honest. The trunk gives you the core vocabulary and the inference pipeline; clusters dive into Bayesian reasoning, frequentist theory, regression, stochastic processes, and experimental design.

A working understanding of the natural world — what science is, how matter and energy behave, how life persists and changes, and how Earth and the cosmos fit together. The trunk gives you a single coherent throughline across physics, chemistry, biology, and earth/space science; clusters dive into experimental design, mechanics, thermodynamics, electromagnetism, modern physics, genetics, ecology, and climate.

A working understanding of mathematics — the universal language scientists, engineers, and quants use to describe the world. The trunk gives you the throughline from how mathematicians think to how math models reality; clusters dive into proof, trig, calculus mechanics, advanced linear algebra, number theory and cryptography, probability, stochastic processes, and the foundational limits of math itself.

Build the universal mental model that every database is implemented against — the relational model, schemas and keys, indexes, transactions, concurrency, PostgreSQL architecture, production operations, modeling patterns, and the modern data ecosystem (NoSQL, distributed SQL, warehouses, vectors, streaming).

A working understanding of blockchain and Web3 — what these systems actually are, why they were built, and how the pieces (wallets, consensus, smart contracts, tokens, DeFi, NFTs, DAOs) fit together. The trunk gives you the orientation to follow any crypto conversation; clusters dive into cryptography, custody, consensus, smart-contract engineering, DeFi mechanics, NFTs/DAOs, and building dApps.

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.