M1
Stochastic processes & Itô calculus
- Random walks & martingales
- Brownian motion
- Itô's lemma
- Geometric Brownian motion
Applied to · Model price dynamics; understand where the Black–Scholes assumption comes from and where it breaks.
Curriculum
Applied math, mapped to markets
Six modules take post-secondary applied-mathematics students from the theory to a working, demo-tested strategy. Each module ends in a StrategyQuantX exercise and a checkpoint on the demo account.
M2
Time-series econometrics
- Stationarity & ADF
- ARIMA & volatility clustering
- Cointegration & pairs
- Regime switching
Applied to · Build the statistical backbone of a mean-reversion or trend strategy; test for spurious relationships.
M3
Statistical inference
- Hypothesis testing at scale
- Multiple-testing correction
- Bootstrap inference
- Effect sizes
Applied to · Stop chasing false positives across hundreds of strategies; quantify what 'significant' really costs you.
M4
Convex optimisation
- Portfolio weights as a QP
- Risk-budgeting
- Constraint design
- Regularity & degeneracy
Applied to · Assemble a portfolio whose risk you actually understand, not one that merely minimises a number.
M5
Numerical methods
- Discretisation error
- Monte Carlo variance
- Quasi-random sequences
- Convergence diagnostics
Applied to · Trust a backtest only when you can explain its error; design robustness tests that mean something.
M6
Risk & money management
- Position sizing
- Drawdown control
- Tail risk
- Capital preservation first
Applied to · Size every trade to a fixed fraction at risk; set the hard limits that keep you in the game.
Supplementary foundations
Discretionary foundations, before the math
Before the quant work, some students want a grounded view of how markets actually behave in practice. AFM One Core Program is a foundational trading program we recommend for that context — not a substitute for the applied-math track, but a complement to it.
Explore AFM One Core Program Affiliate link · we may earn a commission at no extra cost to you
Ready to start a track?
Tell us your level and what you want to research. We'll match you to a demo-first module and a StrategyQuantX starting point.