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Learn/Quantitative Foundations
Quantitative Foundations

Quantitative Foundations

Statistics, probability, and finance math. The quantitative skills that underpin data science and finance.

Data science and finance are built on quantitative foundations. This section covers essential concepts: probability theory, statistical distributions, hypothesis testing, regression, and the finance-specific math you'll need for risk, portfolio analysis, and valuation.

Why These Foundations Matter

Every algorithm in data science and every model in finance has mathematical underpinnings. Understanding probability helps you reason about uncertainty. Statistics lets you draw valid conclusions from data. Finance math gives you the language of risk, return, and valuation. These aren't abstract concepts - they're the tools you'll use daily to analyze data, build models, and make decisions.

What You'll Learn

The courses here progress from descriptive statistics through probability, distributions, sampling, hypothesis testing, and regression. You'll also learn finance-specific quantitative concepts: portfolio math, volatility modeling, Value at Risk theory, and credit risk fundamentals. This foundation makes everything that follows in machine learning and applied finance more accessible.

Connecting to Finance

Finance is inherently quantitative. Risk is measured with standard deviations and VaR. Portfolio optimization uses covariance matrices. Options are priced with probability distributions. Trading strategies are validated through hypothesis testing. The examples throughout connect mathematical concepts to how they're actually used in finance work.

Guides

In-depth articles to help you understand the landscape and plan your learning.

  • πŸ—ΊοΈ
The Math Behind Data Science: What You Actually Need to Knowβ€” What concepts matter, what libraries handle, and how to learn as you go

Courses

1

Introduction to Statistics

Free

Foundational concepts in statistics

Statistical Concepts and Market Returns

Statistical Concepts and Market Returns

Free

Statistical measures applied to financial data

Probability Concepts

Probability Concepts

Free

Fundamental probability theory and concepts

Common Probability Distributions

Common Probability Distributions

Free

Normal, binomial, Poisson, and other key distributions

Probability Distributions (Advanced)

Probability Distributions (Advanced)

Premium

Advanced distribution concepts for risk

Sampling and Estimation

Sampling and Estimation

Free

Statistical sampling and parameter estimation

Hypothesis Testing

Hypothesis Testing

Free

Statistical hypothesis testing and inference

8

Linear Regression

Free

Simple and multiple linear regression

Quantitative Methods

Quantitative Methods

Premium

Advanced quantitative techniques

Understanding Portfolio Math

Understanding Portfolio Math

Free

Mathematical foundations for portfolio management: returns, risk, correlation, and diversification

11

Volatility

Premium

Understanding and modeling volatility in financial markets

Value at Risk

Value at Risk

Free

Understand VaR concepts and calculation methods

13

Statistical Foundations of VaR

Premium

Mathematical foundations of Value at Risk measurement

14

Introduction to Quantitative Finance

Free

Overview of quantitative finance concepts and career paths

15

Credit Risk Management

Free

Principles and concepts of credit risk management

Foundations of Credit Risk Modelling

Foundations of Credit Risk Modelling

Free

Conceptual foundations for building credit risk models

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