Foundation
Everyone starts hereMath and statistics
Probability, linear algebra, calculus, and statistics are the grammar of every model in finance and AI. Skip these and you are guessing.
- Complete Statistics for Data Science (6h) Free YouTube · Krish Naik, the stats you actually get asked about, in one sitting
- 3Blue1Brown: Essence of Calculus Free YouTube · the visual intuition behind derivatives, integrals, and the chain rule
- 3Blue1Brown: Essence of Linear Algebra Free YouTube · vectors, matrices, and eigenvectors made geometric, the grammar of ML
Python for data
Python is the working language of AI, quant, and data science. NumPy and pandas are load-bearing; learn them before libraries abstract them away.
- Python Full Course (2026) Free YouTube · Shradha Khapra (Apna College), start from zero, the cleanest beginner track
- Python Crash Course (libraries) Free YouTube · Krish Naik, NumPy, Pandas, Matplotlib, the data-work toolkit
Corporate finance and valuation
FP&A, valuation, and the language of corporate finance sit under most finance roles. Get the intuition before the spreadsheets.
- Valuation, the full course Free YouTube · Aswath Damodaran (NYU Stern), the definitive free lectures on valuation and corporate finance
- Damodaran channel Free YouTube · DCF, cost of capital, corporate finance, and FP&A intuition, all free
Track A: Quant / financial engineering
Stochastic everythingStochastic calculus
Brownian motion and Ito's lemma are the foundation of every derivative pricing model. Dense, but unavoidable if you are serious about this track.
- MIT 18.642 Mathematics in Finance (OCW) Free Lectures · Ito calculus, Brownian motion, and SDEs in a finance context, MIT OCW 2024
- Stochastic Calculus for Finance (QuantPy) Free YouTube · GBM, Ito's lemma, and SDEs worked through for quants
Derivatives pricing
Black-Scholes is not the end; it is the beginning. Understanding why it works and where it breaks is what separates users from practitioners.
- FinTree, CFA and FRM Free YouTube · derivatives pricing and valuation, risk, and quant methods, exam-grade clarity
- Deriving the Black-Scholes model Free YouTube · Perfiliev, a clean step-by-step derivation of the option-pricing PDE
Fixed income and rates
Duration, convexity, and term-structure models underlie a large share of real risk capital. Bonds are less exciting and more consequential than options.
- MIT 15.401 Finance Theory (OCW) Free · covers bond math, duration, and yield curve basics
- CFA Fixed Income, full course Free YouTube · FinQuiz, bond pricing, duration, convexity, spreads, and term structure end to end
Market, credit, and model risk
VaR, expected shortfall, credit spreads, and model validation are the professional language of risk. Know the distinction between types before mixing them up in a pitch.
- FRM Market Risk (AnalystPrep) Free YouTube · VaR, backtesting, and stress testing, FRM-aligned
- Modeling Value at Risk Free YouTube · Quant Channel, VaR as a real quant project
- Value at Risk: all three methods Free YouTube · NEDL, parametric, historical simulation, and Monte Carlo VaR in one lecture
- Value at Risk Models (MIT 18.S096) Free YouTube · Kenneth Abbott, the academic VaR lecture, rigorous and practitioner-grade
- Credit Risk Modeling: PD, LGD, EAD Free YouTube · Mehul Mehta, a full multi-part series on PD, LGD, EAD, and expected loss
- CCAR Stress Testing Workshop Free YouTube · Dimitri Bianco, a model-validation quant on CCAR and regulatory stress testing
Time series analysis
ARIMA, cointegration, and volatility models are the workhorses of financial modeling. Most "AI predictions" in finance are really time series econometrics with better PR.
- Time Series Analysis (ritvikmath) Free YouTube · ARIMA, stationarity, ACF/PACF, the classics explained cleanly
- Forecasting: Principles and Practice Free · Hyndman and Athanasopoulos, free online, comprehensive
Track B: AI / machine learning
Models that learnML fundamentals
Gradient descent, overfitting, bias-variance tradeoff, cross-validation. The ideas that every other concept in this track depends on.
- Complete Machine Learning (6h) Free YouTube · Krish Naik, the algorithms and the evaluation that matters, end to end
Deep learning
Neural networks, backpropagation, CNNs, and the architecture decisions that separate toy from production. Understanding this layer lets you reason about what LLMs actually do.
- 3Blue1Brown: Neural Networks Free YouTube · the visual intuition for what gradients and backprop actually do
- Karpathy: Neural Networks Zero to Hero Free YouTube · build it from scratch, the deepest free track there is
NLP and LLMs
Transformers, attention, and how language models work from the inside. The difference between using an API and understanding the architecture is the difference between a user and a builder.
- Stanford CS224N: NLP with Deep Learning Free YouTube · the canonical university course, word vectors through Transformers and LLMs
- Building Agentic RAG (DeepLearning.AI) Free · hands-on RAG and tool-use agents with LlamaIndex
AI agents and tool use
Agents are models that act in the world: they call tools, maintain state, and loop until a task completes. This is where the capability ceiling sits right now.
- LangGraph: build complex AI agents Free YouTube · freeCodeCamp, a 3-hour course on agent state, tools, and multi-agent orchestration
- Building effective agents (Anthropic) Free · the clearest public writing on agent architecture trade-offs
Track C: Data science in finance
Applied, production-mindedSQL and data wrangling
Every finance data science job starts with SQL and messy datasets. Master joins, window functions, and pandas before touching a model.
- SQL in 3 Hours (MySQL) Free YouTube · Shradha Khapra (Apna College), one-shot from zero to joins and subqueries
- SQL for Data Analytics (4h) Free YouTube · Luke Barousse, joins, window functions, real business questions
- Data Analyst Bootcamp Free YouTube · Alex The Analyst, SQL, Python, and a portfolio project end to end
ML applied to finance
Credit scoring, fraud detection, return prediction, and portfolio construction with ML. Finance requires calibrated uncertainty and explainability that generic ML courses skip.
- ML and Quant Strategies with Python Free YouTube · freeCodeCamp, a 3-hour course on ML trading strategies, sentiment, and GARCH
Forecasting in practice
Revenue forecasting, demand planning, and cash flow projection with modern tooling. The gap between a good model and a trusted model is calibration and honest uncertainty bounds.
- Time Series Forecasting (Nachiketa Hebbar) Free YouTube · ARIMA, exponential smoothing, and forecasting in Python, step by step
- Forecasting with ARIMA in Python Free YouTube · a beginner-friendly, end-to-end ARIMA forecasting walkthrough
MLOps basics
Model deployment, monitoring, versioning, and retraining loops. In finance, a model that cannot be audited or redeployed quickly is a liability. This is the production gap most DS courses ignore.
- MLOps Zoomcamp (DataTalksClub) Free YouTube · a full free bootcamp: experiment tracking, orchestration, deployment, monitoring
Visualization and communication
A finance audience does not read model cards. Communicating uncertainty, trends, and model outputs clearly is a professional skill as real as the modeling itself.
- Tableau Full Course (6h) Free YouTube · Edureka, Tableau end to end: calculated fields, LOD, dashboards, storytelling
- Power BI Full Course (4h) Free YouTube · Edureka, Power BI, Power Query, DAX, data modeling, and report publishing
Where the tracks meet
AI in financeThis is where the quant foundation, the ML toolset, and the data science workflow converge. Sarthak's focus: end-to-end AI in finance, with human-in-the-loop validation and governance that can survive regulatory scrutiny.
Agentic AI in finance
Agents that read filings, run models, reconcile data, and escalate exceptions are real and running in production. The architecture decisions that make them trustworthy with money are not obvious.
- Building effective agents (Anthropic) Free · the clearest public writing on agent architecture trade-offs
Model risk for AI systems
SR 11-7 was written for statistical models. Applying its validation logic to neural networks and agents requires new thinking. This is the most underserved skill gap in financial AI right now.
- SR 11-7 Guidance (Federal Reserve) Free · read the primary source; the document that defines the vocabulary of model risk in US finance
- Model Risk Management (Harvard Extension) Free YouTube · a full lecture on SR 11-7, model validation, governance, and documentation
Human-in-the-loop design
Automation that cannot hand off cleanly to a human is a liability, not an asset. HITL is not a concession; it is an architecture choice that keeps the system auditable and recoverable.
- Google PAIR Guidebook Free · practitioner guide to human-centered AI design, grounded in real deployment experience
- PAI: Human Oversight in Finance Free · focused specifically on automated decision systems in financial services
AI governance and compliance
The regulatory environment for AI in financial services is moving fast. Model inventories, audit trails, explainability requirements, and the EU AI Act's high-risk classification for credit systems are shaping what you can build and how.
- NIST AI Risk Management Framework Free · the US government reference standard for AI governance; readable and practical
- EU AI Act (plain English) Free · high-risk system classification, transparency requirements, and what it means for finance AI
Resources listed are free or free-to-audit unless noted otherwise. None are sponsored. All views are my own and not those of my employer. To suggest a resource, reach out via email.