Tier 4 · QuantFree
Stochastic Processes
A Random Walk
11 modules~76 min totalVerifiable certificate on completion
Syllabus
01Probability FoundationsMath
8 min02Brownian MotionMath
8 min03Stochastic Differential EquationsMath
7 min04Itô's LemmaMath
7 min05Deriving Black-ScholesMath
8 min06Limitations of the ModelMath
8 min07The Wiener Process
6 min08Geometric Brownian Motion
6 min09Mean Reversion
6 min10Jump Diffusion
6 min11Path Dependence
6 minFrom Module 1 — read a sample
Think of a random variable like a function that converts coin flips into numbers — heads maps to 1, tails to 0. Expected value E[X] is the long-run average of all those outputs across millions of flips. A normal distribution is a bell curve where most outcomes cluster near the mean and extreme outcomes are rare; the standard deviation σ controls how wide the bell is.
Teaching a class?
Assign this course as homework. Students sign up free, work through the modules at their own pace, and earn a certificate with a public verification link they submit to you — no teacher account or setup required.
See the educator guide →