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The Quantt Syllabus

Everything inside Quantt, laid out in full. 96 lessons across 3 streams, grouped into modules with difficulty ratings.

Mathematics

21 lessons

The quantitative backbone that underpins every pricing model, risk system, and trading strategy. Calculus, linear algebra, probability, statistics, and stochastic processes, taught in the order you actually need them for finance.

M01

Foundations

3 lessons

Quants live and die by clean notation. Before you touch a single model, you need to read formulas fluently, manipulate exponentials and logs without thinking, and recognise the series expansions that show up everywhere from interest accrual to option pricing.

  1. 01Functions & NotationE
  2. 02Exponentials & LogarithmsE
  3. 03Sequences, Series & TaylorM
M02

Calculus

5 lessons

Pricing is local. Greeks, hedging, optimisation of portfolios — all of it lives in derivatives and integrals. This module gets you fluent with limits, differentiation, optimisation, and integration so the rest of the curriculum can lean on them silently.

  1. 01Limits & ContinuityM
  2. 02DifferentiationM
  3. 03OptimisationM
  4. 04IntegrationM
  5. 05Multivariable CalculusH
M03

Linear Algebra

5 lessons

Portfolio theory, factor models, PCA, neural networks — they all collapse to matrix algebra. This module builds the vector and matrix intuition you need to reason about covariance, eigenstructure, and high-dimensional risk in code.

  1. 01VectorsE
  2. 02Matrices & Linear SystemsM
  3. 03Eigenvalues & EigenvectorsH
  4. 04Covariance MatricesM
  5. 05Linear & Matrix Math (Advanced)H
M04

Probability

4 lessons

Markets are random. To reason about hedging error, drawdowns, or any risk metric, you need a working command of distributions, expectation, conditional probability, and the limit theorems that justify the models we ship to production.

  1. 01Foundations of ProbabilityE
  2. 02Expectation & VarianceM
  3. 03Conditional Probability & BayesM
  4. 04LLN & Central Limit TheoremH
M05

Statistics

3 lessons

Data is the raw material of every quant strategy. Estimation, hypothesis testing, and regression are how you tell signal from noise — and how you justify a backtest to anyone who matters.

  1. 01Statistical EstimationM
  2. 02Hypothesis TestingM
  3. 03Linear RegressionM
M06

Stochastic Processes

1 lessons

Black–Scholes, interest-rate models, Monte Carlo pricing — all of them assume Brownian motion under the hood. This module gives you the random-walk intuition that makes derivatives modelling click instead of feeling like incantation.

  1. 01Random Walks & Brownian MotionH

Technology

52 lessons

The software-engineering foundation that makes the difference between a quant who can prototype and a quant who can ship. Python from refresher to advanced, then CS fundamentals, databases, networking, cloud, systems programming, and data engineering.

M01

Python Onboarding (Optional)

Optional2 lessons

If you've never written code before, this is your zero-to-one ramp. Optional for everyone else — but doing it gives you the muscle memory to read every Python snippet in the rest of the curriculum without friction.

  1. 01Python: Zero to OneOptionalXE
  2. 02Python: Building MomentumOptionalXE
M02

Foundations

6 lessons

Working as a quant means living inside a terminal, a debugger, and a git repo. This module gives you the developer toolbox — Python, the command line, version control, packaging, and how to read errors — so the rest of tech doesn't fight you at every step.

  1. 01PrerequisitesXE
  2. 02Python FundamentalsE
  3. 03The Command LineE
  4. 04Git & Version ControlE
  5. 05Package ManagementE
  6. 06Debugging & Reading ErrorsE
M03

Systems Basics

6 lessons

Quant systems are distributed, networked, and stateful. You don't need to be a systems engineer, but you do need to know how networks, operating systems, data formats, and databases behave — because every model eventually meets one of them.

  1. 01Networking & The InternetE
  2. 02Operating SystemsE
  3. 03Data FormatsE
  4. 04Databases & SQLE
  5. 05Development ToolsE
  6. 06Financial Software EngineeringM
M04

Python Mastery

4 lessons

Python is the lingua franca of quant work. This module takes you from competent scripter to confident library author — comfortable with advanced techniques, OOP vs functional patterns, and the NumPy/Pandas stack that backs every research notebook in the industry.

  1. 01Python Advanced TechniquesM
  2. 02OOP vs Functional ProgrammingM
  3. 03NumPy IntroductionM
  4. 04Pandas IntroductionM
M05

Software Engineering Core

4 lessons

A model that breaks silently in production is worse than no model at all. Testing, debugging, environment isolation, and a clean dev workflow are the disciplines that turn experimental code into something a desk can rely on.

  1. 01Testing IntroductionM
  2. 02Debugging (Advanced)H
  3. 03Package Management & Virtual EnvironmentsM
  4. 04Development Tools & WorkflowM
M06

CS Essentials

6 lessons

Big-O isn't an interview gimmick — it's why your backtest takes 30 seconds or 30 hours. This module covers the CS fundamentals, OS internals, data formats, and version-control workflows that every senior quant draws on weekly.

  1. 01Computer Science FundamentalsH
  2. 02Operating Systems (Advanced)H
  3. 03Data Formats (Advanced)M
  4. 04Columnar vs Row StorageM
  5. 05Git EssentialsM
  6. 06Branching StrategiesM
M07

Databases

6 lessons

Tick data, position state, trade history — quants live on top of databases. This module takes you from SQL essentials to schema design, advanced queries, ORMs, and the time-series stores built specifically for market data.

  1. 01SQL IntroductionE
  2. 02Databases (Advanced)M
  3. 03Database DesignM
  4. 04SQL AdvancedH
  5. 05ORMsM
  6. 06Time Series DatabasesH
M08

Networking & APIs

4 lessons

Trading systems live and die on latency and integration. This module covers the network internals, REST APIs, and authentication patterns that connect a research model to an exchange or counterparty.

  1. 01Networking (Advanced)M
  2. 02Network SpeedsE
  3. 03APIs & RESTM
  4. 04Security & AuthenticationH
M09

DevOps

4 lessons

Reproducibility is non-negotiable in regulated finance. Environments, SDLC discipline, CI/CD, and containers are the practices that let a small quant team ship code with confidence and roll it back when something breaks.

  1. 01EnvironmentsM
  2. 02SDLC Best PracticesM
  3. 03CI/CD & PipelinesM
  4. 04Containers & DockerM
M10

Cloud

4 lessons

Modern quant infrastructure is cloud-first. AWS and Azure power the data lakes, model training, and risk runs at most hedge funds and investment banks. This module orients you so you can navigate either provider.

  1. 01Cloud Providers IntroductionE
  2. 02AWS FundamentalsM
  3. 03Azure FundamentalsM
  4. 04S3 & Object StorageE
M11

Systems & Design

4 lessons

Latency-sensitive code, low-level systems work, and disciplined design patterns are how quant developers cross the gap between research and execution. This module is the bridge into systems-programming territory.

  1. 01Design PatternsH
  2. 02C++ IntroductionH
  3. 03Rust IntroductionH
  4. 04Hardware AccelerationXH
M12

Data Engineering

2 lessons

Quant signals are only as good as the pipelines feeding them. This module covers the big-data tools and platform thinking that keep a research desk fed with clean, timely data at scale.

  1. 01Big Data & Data PipelinesH
  2. 02Data Platform FundamentalsH

Finance

23 lessons

How modern markets actually work, the instruments traded on them, and the models used to price and risk-manage those instruments. From financial markets and time value of money through to derivatives pricing, structured notes, and market microstructure.

M01

Markets Foundations

3 lessons

Before models, you need a clear mental map of markets — who participates, why prices move, and how a single dollar today relates to a dollar next year. Without these foundations, every later concept floats untethered.

  1. 01Financial Markets & ParticipantsXE
  2. 02Time Value of MoneyE
  3. 03Interest Rates & Yield CurvesM
M02

Core Instruments

3 lessons

Quants are paid to model instruments. You can't model what you don't understand — bonds, equities, and the full derivatives zoo each have economics that drive how their prices behave under stress.

  1. 01Bonds & Fixed IncomeM
  2. 02Equities & ReturnsE
  3. 03Derivatives OverviewM
M03

Risk & Return

3 lessons

Every quant decision is a trade-off between risk and reward. Portfolio theory and factor models give you the language to express that trade-off precisely — and the maths that lets you optimise it.

  1. 01Risk & Return Trade-OffE
  2. 02Portfolio TheoryM
  3. 03CAPM & Factor ModelsM
M04

Derivatives & Pricing

5 lessons

This is where quants really earn their keep. From simple forwards through to Black–Scholes, you'll learn to price contingent claims, understand replication, and read the Greeks like a trader reads a screen.

  1. 01Forwards & Futures PricingM
  2. 02Options FundamentalsM
  3. 03Binomial Option PricingH
  4. 04Black-Scholes ModelXH
  5. 05The GreeksH
M05

Risk Management

3 lessons

Pricing without risk management is gambling with extra steps. Volatility models, VaR, and credit risk frameworks are how firms decide what they can stomach losing — and how they explain it to regulators.

  1. 01Volatility ModellingH
  2. 02Value at RiskM
  3. 03Credit RiskM
M06

Structured Products

3 lessons

Structured notes are where pricing, risk, and product design collide. Understanding them is a fast track to seeing how multiple parts of the curriculum compose into a real, sellable product on a bank's balance sheet.

  1. 01Structured Notes: UnderstandingM
  2. 02Structured Notes: ModellingH
  3. 03Structured Notes: ValuationH
M07

Quantitative & Advanced

3 lessons

The frontier of quant finance: how prices are made on the order book, how strategies are systematised, and the risk-neutral framework that ties pricing theory together. This is the material that separates analysts from quants.

  1. 01Market MicrostructureH
  2. 02Algorithmic TradingH
  3. 03Risk-Neutral PricingXH

Ready to actually do the work?

Reading a syllabus only gets you so far. The lessons themselves include interactive Python in the browser, exercises with auto-graded tests, and quizzes after every module.