15-Week Schedule

Chapter n = Week n = Module n

The course maps one chapter to one week to one laboratory module. Week 15 is reserved for review, the final laboratory clinic, and the examination.

Week	Part	Chapter	Laboratory Module
1	I	Ch 1 · The Mathematical Architecture of Modern Finance	Module 1 · Probability and State Space Explorer
2	I	Ch 2 · Probability, Uncertainty, and Financial States	Module 2 · Probability and Distribution Lab
3	I	Ch 3 · Information, Conditional Expectation, and Filtrations	Module 3 · Information and Conditional Expectation Simulator
4	I	Ch 4 · Valuation, No-Arbitrage, and State Prices	Module 4 · State Prices, Completeness, and Bounds
5	I	Ch 5 · Martingales, Change of Measure, and Risk-Neutral Valuation	Module 5 · Fair Games, Measure Change, and Dynamic Hedging
6	II	Ch 6 · Stochastic Processes and Financial Dynamics	Module 6 · Paths, Quadratic Variation, and Jumps
7	II	Ch 7 · Itô Calculus and Continuous-Time Finance	Module 7 · Stochastic Calculus in the Hands
8	II	Ch 8 · Derivatives, PDEs, and the Feynman–Kac Bridge	Module 8 · The Pricing Machine
9	III	Ch 9 · Portfolio Choice and Dynamic Optimization	Module 9 · The Allocation Laboratory
10	III	Ch 10 · Stochastic Control and the Hamilton–Jacobi–Bellman Equation	Module 10 · The Control Room
11	III	Ch 11 · Optimal Stopping and Real Options	Module 11 · The Timing Desk
12	III	Ch 12 · Filtering, Learning, and Hidden States	Module 12 · The Learning Machine
13	IV	Ch 13 · Risk Measures, Ambiguity, and Robustness	Module 13 · The Risk Office
14	IV	Ch 14 · Equilibrium, Liquidity, and the Allocation of Capital	Module 14 · The Market Itself
15	—	Review · Final laboratory clinic	Examination