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Stochastic Calculus
Derive the Black-Scholes equation from scratch and master the models that power modern finance.
Module 0: The Quant Toolkit (Prerequisites)
8
Lessons
2h 40m
Lesson 0.1: Key Concepts - Mean and Variance
Not Started
20 min
Lesson 0.2: Standard Deviation (The "Intuitive" Spread)
Not Started
15 min
Lesson 0.3: The Normal Distribution N(μ, σ²)
Not Started
20 min
Lesson 0.4: Calculus Review - Derivatives (The "Slope")
Not Started
15 min
Lesson 0.5: Calculus Review - Integrals (The "Sum")
Not Started
15 min
Lesson 0.6: The "Master Tool": The Taylor Expansion
Not Started
25 min
Lesson 0.7: The "Master Tool" (Part 2): The 2-Variable Taylor Expansion
Not Started
25 min
Lesson 0.8: The Rules of "Normal" Infinitesimals
Not Started
15 min
Module 1: The Foundations of Randomness
4
Lessons
1h 20m
Module 2: The "Weird Algebra" of Itô Calculus
4
Lessons
1h 20m
Module 3: Itô's Lemma (The "Chain Rule" of Finance)
3
Lessons
1h 50m
Module 4: Deriving the Black-Scholes-Merton PDE
4
Lessons
1h 25m
Module 5: The "Greeks" - The Practical Side of the PDE
6
Lessons
1h 50m
Module 6: Advanced Models (Beyond Black-Scholes)
5
Lessons
1h 40m