3Blue1Brown Courses

Why Laplace Transforms Are So Useful

Discover the power of Laplace transforms through forced harmonic oscillators, exploring poles, derivatives, and practical problem-solving techniques in this visual mathematics lesson.

• YouTube
• 23 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

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

But What Is a Laplace Transform? - Visualizing the Most Important Tool for Differential Equations

Discover the Laplace Transform through stunning visual animations, exploring its definition, complex integration, and applications to differential equations in this mathematical deep dive.

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

The AI That Solved IMO Geometry Problems - How AlphaGeometry Combines Logic and Intuition

Discover how AlphaGeometry revolutionizes mathematical problem-solving by combining logical reasoning with AI intuition to tackle Olympic-level geometry challenges.

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

Exploration and Epiphany - Sol LeWitt's Incomplete Open Cubes and Rediscovering Burnside's Lemma

Discover how Sol LeWitt's art connects to Burnside's lemma through mathematical exploration, symmetry analysis, and pattern recognition in group theory.

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

The Math of Phase Change - Deriving the Boltzmann Formula and Defining Temperature

Explore the mathematical foundations of phase transitions through Boltzmann formulas, temperature definitions, and liquid-vapor simulations with interactive modeling.

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

What Was Euclid Really Doing - Understanding Ruler and Compass Constructions in Ancient Geometry

Explore the philosophical foundations behind Euclid's geometric methods and discover why ruler-compass constructions were central to ancient mathematical reasoning and proof.

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

How AI Videos Actually Work - Diffusion Models, CLIP, and the Math of Turning Text into Images

Explore the mathematical foundations of AI video generation through diffusion models, CLIP embeddings, and the intricate process of transforming text prompts into visual content.

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

Why Complex Exponents Matter - Laplace Transform Prelude

Discover how complex exponents and Euler's formula connect to dynamics, harmonic oscillators, and linear equations as preparation for understanding the Laplace Transform.

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

Animating 3Blue1Brown Videos - A Manim Demo

Explore the behind-the-scenes process of creating 3Blue1Brown's animations using Manim, a custom Python library. Learn to code mathematical visualizations and enhance your video production skills.

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

The Cosmic Distance Ladder: How We Measure the Universe - Part 1

Explore the fascinating methods astronomers use to measure cosmic distances, from Earth to the solar system, featuring insights from mathematician Terence Tao and historical breakthroughs.

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