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Courses, lessons, worked examples, and interactive tools organized by subject.

Subjects

Browse courses by topic and use their recommended background to choose material.

Subject

Trading

Price structure, trade planning, options, indicators, order flow, risk management, backtesting, and automation.

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Subject

Algebra

Expressions, equations, functions, polynomials, systems, matrices, sequences, and series.

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System Design

Capacity, latency and the tail, queueing, caching, availability, replication, partitioning, storage, scaling and cost, and measurement.

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Algorithms

Data structures, sorting and selection, graphs, greedy methods and matroids, dynamic programming, strings, geometry, randomisation, and intractability.

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Operations Research

Linear programming, the simplex method, duality and sensitivity, networks, integer programming, scheduling, sequential decisions, inventory, Markov chains and queues, and simulation.

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Philosophy

Arguments and validity, knowledge and evidence, induction and causation, decision, games and the social contract, ethics, justice and collective choice, identity and modality, mind and language, and paradoxes.

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English

English for speakers of other languages, in ten courses: a verb’s forms and the verbs that break them, helping verbs, nouns and articles, where the words go in a sentence, the small words, how a spelling is said, where the stress falls, what to listen for, and how much of a page you already know.

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Differential Equations

Rates of change and the derivative, accumulation and the integral, Euler’s method and slope fields, separable and linear equations, equilibria and phase lines, second-order equations, oscillators and resonance, systems in the phase plane, and the Laplace transform.

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Courses

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About the Trading courses: educational use only. Nothing in that material is trading, investment, or financial advice. Every chart, price, quote, trade, fill, and performance figure in those courses is a synthetic example generated to illustrate a concept: no lesson describes a real instrument or a real market session, and nothing there is a recommendation, a signal, or a forecast. Trading carries the risk of losing money, and real outcomes can differ from any illustration because of spread, slippage, commissions, gaps, taxes, liquidity, assignment, exercise, implied volatility, time decay, and other factors. Options in particular involve risk and are not suitable for every investor.

The one exception, and it is dated. A single worked example published under Trading is not course material and is not synthetic: it analyses real market data for a real listed security over a fixed window that ended on August 14, 2026, and it is written as of August 16, 2026. It is a point-in-time snapshot, not a live or current view, and not a forecast. It is educational analysis, not personalized investment advice, not a trade signal, and not a guarantee of any outcome, and it carries a notice of its own saying exactly that.