Topic map and reference cards
Learn · calculate · explain · implement
Use this as a connected foundation for quant-development interviews: mathematics, reasoning, numerical pricing, risk and execution. Each topic has an entry point and assumptions to check.
Refresh probability and statistics, then work through algorithms, order books, latency and the execution project. Use a brain teaser to rehearse explaining assumptions aloud.
Counting and stopping → Algorithms → Execution → Build the simulator
Build from calculus and probability into replication, risk-neutral valuation, trees and Monte Carlo. Compare numerical errors before trusting a price, then inspect hedging limitations.
Explore forty original brain-teaser families: logic and invariants, counting and probability, expectation and stopping, games and decisions. Attempt first, then compare assumptions and reasoning. Changed numbers help practise a technique; an answer alone does not prove you can explain it.
Reconstruct the argument before using the formula. These cards are memory prompts; the linked lessons supply the worked calculations and practice. The module filter above applies to lessons; the search applies to both lessons and cards.
This compendium is a broad introduction, not a complete professional syllabus. Dedicated treatment of credit/default modelling, yield-curve construction and stochastic rates, volatility-surface calibration, advanced econometrics, market-data engineering and C++ systems performance remains future work. Start a specialism once you can independently explain and implement the relevant foundations.
One-hour labels are active-study budgets, not timed learner validation. The generated practice bank and diagnostic cover selected techniques; they do not yet adapt to every new lesson. Use each new lesson’s own questions and experiments for its checks.