Discrete Mathematics

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 comprehensive, 3-pillar curriculum that builds durable understanding of artificial intelligence and machine learning — from the mathematical foundations and classical algorithms, through modern deep learning architectures, to the societal implications of deploying AI in the real world. Emphasizes timeless principles over transient tools so knowledge remains valuable as the field evolves.

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.

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 working understanding of cybersecurity — how attackers operate, how defenders push back, and the moving parts of every modern security program. The trunk gives you the throughline from threat model to defense to response; clusters dive into cryptography, network defense, web application security, secure coding, penetration testing, incident response, cloud security, and governance.

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.