# Stochastic Calculus.

A guided bridge from independent coin flips to continuous-time pricing. Start with one random path, learn why its squared wiggles matter, then build toward hedging and the pricing equation.

Intermediate to advanced. Start with probability, derivatives, Taylor series, logarithms and ordinary integration. Each chapter explains unfamiliar notation and keeps a predict, explore and explain loop.

These chapters complement the existing quant lessons. Each of the 72 steps includes recorded Zon–Coach narration, written dialogue and an interactive model.

Canonical page: https://21ifm.com/quant/stochastic-calculus

## Explore

- [SC001 · Random walks](https://21ifm.com/quant/stochastic-calculus/random-walks)
- [SC002 · Brownian motion](https://21ifm.com/quant/stochastic-calculus/brownian-motion)
- [SC003 · Quadratic variation & the Itô integral](https://21ifm.com/quant/stochastic-calculus/quadratic-variation-ito-integral)
- [SC004 · Itô’s lemma](https://21ifm.com/quant/stochastic-calculus/itos-lemma)
- [SC005 · SDEs & Fokker–Planck](https://21ifm.com/quant/stochastic-calculus/sdes-fokker-planck)
- [SC006 · Black–Scholes](https://21ifm.com/quant/stochastic-calculus/black-scholes)