3Blue1Brown Courses

Olympiad Level Counting - How Many Subsets of {1,…,2000} Have a Sum Divisible by 5?

Explore advanced counting techniques using generating functions and complex numbers to solve a challenging subset sum problem, with applications to Olympiad-level mathematics.

• YouTube
• 35 minutes
• On-Demand
• Free Video

Solving Wordle Using Information Theory

Explore information theory and entropy through the lens of solving Wordle, learning strategies to optimize guesses and improve game performance.

• YouTube
• 31 minutes
• On-Demand
• Free Video

Alice, Bob, and the Average Shadow of a Cube

Explore problem-solving approaches to calculate a cube's average shadow area, comparing two methods and their implications for understanding geometric principles.

• YouTube
• 40 minutes
• On-Demand
• Free Video

Beyond the Mandelbrot Set - An Intro to Holomorphic Dynamics

Explore holomorphic dynamics, iterative complex functions, and fractals. Delve into Mandelbrot sets, fixed points, cycles, and Julia sets for a fascinating journey through mathematical visualization.

• YouTube
• 28 minutes
• On-Demand
• Free Video

Newton's Method Produces This Fractal, Why Don't We Teach It in Calculus Classes?

Explore the fascinating fractal produced by Newton's method for finding roots of polynomials, revealing unexpected complexity in a seemingly simple mathematical technique.

• YouTube
• 26 minutes
• On-Demand
• Free Video

How -and Why- to Raise e to the Power of a Matrix

Explore matrix exponentiation through engaging examples, from love dynamics to quantum mechanics, with clear animations and intuitive explanations of complex mathematical concepts.

• YouTube
• 27 minutes
• On-Demand
• Free Video

Tips to Be a Better Problem Solver - Lockdown Live Math

Explore problem-solving techniques in mathematics through engaging examples from geometry, trigonometry, and probability. Enhance your analytical skills with practical tips and interactive exercises.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Intuition for i to the Power i - Lockdown Live Math

Explore the intuition behind i^i through visualizations, explanations, and interactive Q&A. Dive deep into complex exponents, exponential functions, and their geometric interpretations.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

The Power Tower Puzzle

Explore the fascinating world of power towers and tetration through puzzles, Python programs, and visual explanations. Dive deep into convergence, complex numbers, and related mathematical concepts.

• YouTube
• 54 minutes
• On-Demand
• Free Video

What Makes the Natural Log "Natural"

Explore the natural logarithm's unique properties, its relationship with prime numbers, exponentials, and derivatives. Gain insights into mathematical concepts through engaging explanations and visual demonstrations.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Imaginary Interest Rates - Lockdown Live Math

Explore compound interest, e, and their relation to circles in this engaging mathematical journey, connecting complex concepts to real-world applications like springs and rotations.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

What Is Euler's Formula Actually Saying? - Lockdown Live Math

Explore Euler's formula through interactive questions, visualizations, and Python demonstrations. Gain deep insights into exponential functions, complex numbers, and their fascinating connections.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Complex Number Fundamentals - Lockdown Live Math

Explore the geometry of complex numbers through interactive demonstrations, Python examples, and practical applications in image rotation and angle addition, with engaging visuals and explanations.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

Trigonometry Fundamentals - Lockdown Live Math

Explore trigonometry fundamentals through interactive questions, visual explanations, and advanced concepts. Gain insights into cosine mysteries and practical applications of trig functions.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

The Simpler Quadratic Formula - Lockdown Live Math

Explore a simplified approach to the quadratic formula, covering mental math tricks, function properties, and practical applications, with engaging visuals and practice problems.

• YouTube
• 52 minutes
• On-Demand
• Free Video