3Blue1Brown Courses

The Hairy Ball Theorem

Explore the fascinating Hairy Ball Theorem through stunning visual proofs and discover its unexpected applications in topology, vector fields, and mathematical reasoning.

• YouTube
• 30 minutes
• Self-Paced
• Free Video

Differential Equations - A Tourist's Guide

Discover the fundamentals of differential equations through visual explanations, covering partial differential equations, heat equations, Fourier series, and Laplace transforms.

• YouTube
• 3 hours 17 minutes
• Self-Paced
• Free Video

Neural Networks and Deep Learning Fundamentals

Discover neural networks fundamentals and backpropagation through visual explanations, plus explore transformers and LLMs that power modern AI applications.

• YouTube
• 3 hours 4 minutes
• Self-Paced
• Free Video

Essence of Linear Algebra

Discover linear algebra fundamentals through stunning visual explanations covering vectors, transformations, matrices, eigenvalues, and geometric interpretations.

• YouTube
• 3 hours 1 minute
• Self-Paced
• Free Video

Essence of Calculus

Discover calculus fundamentals through stunning visual explanations that make complex concepts intuitive, covering derivatives, integrals, and Taylor series with geometric insight.

• YouTube
• 3 hours 11 minutes
• Self-Paced
• Free Video

But How Does Bitcoin Actually Work?

Explore the mathematical foundations of cryptocurrencies, including digital signatures, decentralization, cryptographic hash functions, and blockchain technology in this informative video.

• YouTube
• 25 minutes
• Self-Paced
• Free Video

But What Is a Convolution?

Explore the concept of convolution in mathematics, from probability to image processing and FFTs, with clear explanations and engaging animations.

• YouTube
• 23 minutes
• Self-Paced
• Free Video

Group Theory, Abstraction, and the 196,883-Dimensional Monster

Explore group theory, abstraction, and the fascinating 196,883-dimensional monster group in this engaging introduction to mathematical symmetry and classification.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

Why Do Prime Numbers Make These Spirals? - Dirichlet’s Theorem, Pi Approximations, and More

Explore the fascinating patterns of prime numbers in spirals, delving into Dirichlet's theorem, pi approximations, and prime distributions through engaging animations and mathematical insights.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

But What Is a Fourier Series? From Heat Flow to Drawing With Circles

Explore Fourier series through heat flow and circular drawings, understanding complex mathematical concepts with engaging animations and clear explanations.

• YouTube
• 25 minutes
• Self-Paced
• Free Video

Differential Equations, a Tourist's Guide

Explore ordinary differential equations through intuitive visualizations, covering concepts like vector fields, phase spaces, and real-world applications in physics and social dynamics.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

Winding Numbers and Domain Coloring

Explore winding numbers and domain coloring to solve 2D equations numerically. Learn about graphing techniques, color mapping, and applications in complex analysis.

• YouTube
• 25 minutes
• Self-Paced
• Free Video

Gradient Descent, How Neural Networks Learn

Explore gradient descent and neural network learning through animations, examples, and expert insights. Gain a deeper understanding of cost functions, network analysis, and cutting-edge research in machine learning.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Taylor Series

Explore the power of Taylor polynomials for approximations and analysis, covering cos(x), e^x, geometric interpretations, and convergence issues in this animated math lesson.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

Integration and the Fundamental Theorem of Calculus

Explore intuitive explanations of integrals and their relationship to derivatives, using animated visuals to demystify the fundamental theorem of calculus and its real-world applications.

• YouTube
• 21 minutes
• Self-Paced
• Free Video