Curriculum Roadmap
A structured self-study curriculum in finance, economics, and financial mathematics — designed for an engineer who loves markets and wants the formal framework behind what he already knows from practice.
Module Map
| Module | Topic | Status | Chatbot Conversation | Key OCW Courses |
|---|---|---|---|---|
| 0 | Probability, Statistics, Stochastic Processes | 0.1.1 complete; rest roadmapped | 0abe816c | RES.6-012 Intro to Probability, 18.650 Statistics for Applications, 6.262 Discrete Stochastic Processes |
| 1 | Fixed Income | Stub | — | 15.401 Finance Theory I (sessions 4–7) |
| 2 | Derivatives Pricing | Stub | — | 15.401 Finance Theory I (sessions 10–12) |
| 3 | Market Microstructure, DeFi Markets, MEV | Complete | ae02a575 | — |
| 4 | Credit Risk, Structured Products, Debt Capital Markets | Stubs | — | — |
| 5 | Portfolio Theory & Asset Pricing | Stub | — | 15.401 Finance Theory I (sessions 13–20) |
| 6 | Corporate Finance — Advanced | Not started | — | — |
| 7 | Macroeconomics | Stub | — | 14.02 Principles of Macroeconomics |
| 8 | Microeconomics | Not started | — | 14.01 Principles of Microeconomics, 14.04 Intermediate Micro Theory |
| 9 | Behavioral Economics & Finance | Not started | — | — |
| 10 | Special Topics (Econometrics, ML in Finance, Crypto/DeFi, Financial History) | Partial (DeFi covered in Module 3) | — | 15.071 The Analytics Edge |
Dependency Graph
Module 0 (Foundations)
├── 0.1 Probability Theory ← start here
├── 0.2 Statistics (requires 0.1)
├── 0.3 Stochastic Proc I (requires 0.1)
└── 0.4 Stochastic Proc II (requires 0.3)
│
├──► Module 1: Fixed Income (term structure models need SDEs)
├──► Module 2: Derivatives Pricing (Black-Scholes needs Ito)
├──► Module 4: Credit Risk (default models need stochastic intensity)
└──► Module 5: Portfolio Theory (mean-variance needs joint distributions)
Module 3 (Market Microstructure) ← can start in parallel with Module 0
Module 7 (Macro) ← independent, can start anytime
Module 8 (Micro) ← independent, can start anytime
Module 9 (Behavioral) ← best after Modules 5 and 8
Module 6 (Corporate Finance) ← best after Module 1 and 4
Module 10 (Special Topics) ← after relevant prerequisites
Conversation Starters
Each module has a dedicated chatbot conversation. Full UUIDs:
| Module | UUID | Note |
|---|---|---|
| 0 | 0abe816c-2683-44fb-814a-5f47c6fbbbb5 | Probability and finance primer |
| 3 | ae02a575-d487-46b2-a03e-2aee3b64d5f9 | Crypto pump business models and memecoin launch |
| Plan | 2bc72de7-ef1f-45a5-ab4b-49173eb83a05 | Master curriculum plan |
Remaining modules (1, 2, 4–10) do not yet have dedicated conversations.
OCW Course Index
Relevant MIT OpenCourseWare courses indexed from ~/code/youtube/ocw/:
Mathematics / Foundations
- RES.6-012 Introduction to Probability (Spring 2018) — 266 video clips. Comprehensive. Maps to Module 0.1.
- 18.650 Statistics for Applications (Fall 2016) — 22 lectures. MLE, hypothesis testing, regression. Maps to Module 0.2.
- 6.262 Discrete Stochastic Processes (Spring 2011) — 25 lectures. Markov chains, Poisson, renewals. Maps to Module 0.3.
Finance
- 15.401 Finance Theory I (Fall 2008) — 20 lectures. Broad: present value, fixed income, equities, derivatives, portfolio theory. Touches Modules 1, 2, 5.
Economics
- 14.01 Principles of Microeconomics (Fall 2023) — 26 lectures. Maps to Module 8.
- 14.02 Principles of Macroeconomics (Spring 2023) — 25 lectures. Maps to Module 7.
- 14.04 Intermediate Microeconomic Theory (Fall 2020) — 24 lectures. Game theory, mechanism design, contracts. Advanced Module 8.
Cross-cutting
- 15.071 The Analytics Edge (Spring 2017) — applied statistics/ML. Maps to Module 10.
- MAS.S62 Cryptocurrency Engineering and Design (Spring 2018) — blockchain mechanics. Background for Module 3 DeFi content.