Mathematics Primer
AvailableBuild the algebra, calculus, linear algebra and probability foundations used throughout quantitative finance.
Outcomes, preparation and resources → for Mathematics PrimerOne structured quant finance course, from readiness primers in maths and Python through options pricing, portfolio construction, risk and trading. Every lesson lists its prerequisites, works the derivation, shows the Python and ends with an exercise and full solution. Start free with one topic in each primer.
Build the algebra, calculus, linear algebra and probability foundations used throughout quantitative finance.
Outcomes, preparation and resources → for Mathematics PrimerLearn Python fundamentals and the data workflow needed to start quantitative finance projects.
Outcomes, preparation and resources → for Python and Data PrimerUnderstand the instruments, market participants and trading conventions behind quantitative finance models.
Outcomes, preparation and resources → for Finance PrimerStudy financial instruments, pricing conventions, funding and liquidity through a structured quant finance course.
Outcomes, preparation and resources → for Financial Instruments, Markets and ConventionsConnect probability, statistical inference and regression to the analysis of financial data.
Outcomes, preparation and resources → for Probability, Statistics and Financial DataStudy matrix methods, optimisation and numerical techniques for quantitative finance models and calibration.
Outcomes, preparation and resources → for Linear Algebra, Optimisation and Numerical MethodsDevelop scientific Python and financial-data skills for building, testing and delivering quantitative models.
Outcomes, preparation and resources → for Python for Quantitative FinanceStudy regression diagnostics, financial time series, volatility and forecast evaluation with applied econometrics.
Outcomes, preparation and resources → for Econometrics and Financial Time SeriesStudy portfolio optimisation, diversification, factor models and performance evaluation for quantitative investment.
Outcomes, preparation and resources → for Portfolio Theory and Quantitative InvestmentLearn option pricing and hedging through no-arbitrage, Black–Scholes, binomial trees and Monte Carlo methods.
Outcomes, preparation and resources → for Derivatives Pricing and Computational FinanceStudy bond pricing, yield curves, interest-rate risk and no-arbitrage term-structure models.
Outcomes, preparation and resources → for Fixed Income and Interest-Rate ModelsStudy quantitative risk management through loss distributions, tail risk, dependence, credit risk and model validation.
Outcomes, preparation and resources → for Quantitative Risk ManagementLearn to design financial research with point-in-time data, time-ordered validation and economically realistic backtests.
Outcomes, preparation and resources → for Quantitative Research, Data and BacktestingStudy order books, liquidity, market impact and execution analysis from market data to executed positions.
Outcomes, preparation and resources → for Market Microstructure and ExecutionDevelop the reproducibility, documentation, validation and communication practices used in quantitative model work.
Outcomes, preparation and resources → for Professional Quant PracticeStudy volatility surfaces, local and stochastic volatility, and exotic derivatives beyond foundational option pricing.
Outcomes, preparation and resources → for Advanced Derivatives and Exotic OptionsStudy counterparty credit exposure, CVA, DVA, collateral and Monte Carlo exposure simulation.
Outcomes, preparation and resources → for Counterparty Credit Risk and CVAStudy convertible bond valuation, delta hedging, credit overlays and the financing risks of convertible arbitrage.
Outcomes, preparation and resources → for Convertible ArbitrageStudy pairs trading, cointegration, factor residuals and the research and execution of relative-value strategies.
Outcomes, preparation and resources → for Statistical ArbitrageStudy financial machine learning with event labels, finance-aware validation, feature importance and model monitoring.
Outcomes, preparation and resources → for Financial Machine LearningStudy financial text analysis with lexicons, embeddings, classification and validation of NLP measurements.
Outcomes, preparation and resources → for Text as Data and NLP for FinanceStudy event-study design, abnormal returns and robust causal measurement in financial data.
Outcomes, preparation and resources → for Event Studies and Causal Measurement in FinanceStudy empirical asset pricing, factor construction and the costs, capacity and risks of factor investing.
Outcomes, preparation and resources → for Empirical Asset Pricing and Factor InvestingExplore the planned modern C++ programme for quantitative finance, its intended outcomes and free preparation resources.
Outcomes, preparation and resources → for Modern C++ for Quantitative FinanceExplore the planned quantitative data engineering programme, from reliable financial datasets to reproducible research pipelines.
Outcomes, preparation and resources → for Quantitative Data EngineeringExplore the planned trading systems programme, including systems preparation, latency measurement and reliable event processing.
Outcomes, preparation and resources → for Trading Systems and Low-Latency InfrastructureProbability is the largest part of most quant trading and research interviews. Expect dice, coins and cards, expected values computed by recursion or symmetry, conditional probability with a twist, and continuous problems such as breaking a stick. Interviewers usually care as much about a clean setup and a quick sanity check as about the final number.
Brainteasers test how you structure an unfamiliar problem under time pressure: weighing puzzles, games with an optimal strategy, number tricks and geometry. Most have a short solution once the right invariant, symmetry or backward-induction step is found, so practise saying your reasoning out loud.
Derivatives questions check that you can price and reason about options without a computer: put–call parity and no-arbitrage bounds, Black–Scholes intuition, how the Greeks behave, the volatility smile, and quick bond and rates calculations. Many are designed to see whether you know what a model assumes as well as what it outputs.
Quant interviews still include fit questions: why this role, how markets have moved recently, how you would estimate an unfamiliar quantity, and how you work with others. Prepared, specific answers with a clear structure help more here than in any other section.
Maths questions cover calculus, linear algebra, series and number theory: evaluate an integral quickly, reason about eigenvalues, sum a series or prove a short result. They reward fluency with the standard tools rather than obscure tricks.
Statistics questions focus on estimation and inference: unbiasedness and variance of estimators, maximum likelihood, regression assumptions, correlation and hypothesis tests. For research roles, expect follow-ups on what goes wrong with real, noisy financial data.
Programming questions range from C++ language details to algorithm design, complexity, sorting and searching, and numerical methods. Quant developer and trading roles weight these heavily; research roles usually pair them with a data or simulation task.
Stochastic calculus questions centre on Brownian motion and Itô’s lemma: compute an expectation or variance of a stochastic integral, apply Itô to a function of Brownian motion, or reason about a change of measure. They are most common for derivatives and model-development roles.
Machine learning and data questions cover cleaning and joining data, leakage, overfitting and model validation in a financial setting.