Basic Equations for Quantitative Finance

Have you ever wondered how quantitative analysts (Quants), hedge funds, investment banks, and algorithmic traders use mathematics to make data-driven financial decisions?

This course is designed to build the mathematical foundation required for quantitative finance in a simple, structured, and practical way. Whether you're a beginner or an aspiring quantitative analyst, you'll learn the essential mathematical concepts used in financial modeling, algorithmic trading, portfolio management, risk analysis, derivatives pricing, and machine learning.

Unlike traditional mathematics courses, every topic is explained with financial applications and real-world examples, helping you understand not just the theory but also where it is used in modern finance.

What you'll learn

• Build a strong mathematical foundation for quantitative finance

• Understand algebra, functions, and logarithms

• Learn differential and integral calculus

• Master vectors, matrices, eigenvalues, and linear algebra

• Understand probability and probability distributions

• Learn descriptive and inferential statistics

• Study regression analysis and predictive modeling

• Explore time series analysis for financial markets

• Understand Brownian Motion and stochastic processes

• Learn optimization techniques used in portfolio management

• Apply numerical methods and Monte Carlo simulation

• Understand financial mathematics including present value, future value, discounting, and bond pricing

• Learn the mathematical foundations behind machine learning

• Explore advanced quantitative finance concepts including Black-Scholes, CAPM, Modern Portfolio Theory, Value at Risk (VaR), and stochastic differential equations

This course is ideal for

• Beginners interested in quantitative finance

• Students studying finance, economics, mathematics, or engineering

• Algorithmic traders

• Stock market enthusiasts

• Data scientists entering finance

• Financial analysts

• Quantitative researchers

• Machine learning engineers working in finance