Math

Quadric Surfaces in 3D Space!

Math becomes three-dimensional in this video! Explore fascinating shapes created by equations, including curved surfaces that stretch through 3D space. Watch the video to see how algebra and geometry come together to create amazing mathematical shapes.

ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12

How can adding positive numbers possibly lead to a negative answer? This video explores one of mathematics' most surprising ideas and explains why the famous expression appears in advanced mathematics and physics. Watch to discover the unusual math behind −1/12!

What is Group Theory?

Group theory is an area of mathematics that studies patterns, symmetry, and how different operations work together. This video introduces the basic idea behind groups and shows why they are useful in mathematics. Watch to discover how mathematicians organize and understand patterns!

Right-hand rule for vector cross product

The right-hand rule is a helpful way to understand the direction of a vector cross product. This video demonstrates how to use your hand to visualize directions in three-dimensional space. Watch and practice along to make vectors easier to understand!

The magic of Fibonacci numbers | Arthur Benjamin | TED

This video explores the fascinating Fibonacci sequence and shows how its patterns appear in mathematics, nature, and everyday life. You will see how simple number patterns can lead to surprising connections and beautiful mathematical ideas. Watch to discover why Fibonacci numbers are so special!

What happens at infinity? - The Cantor set

Infinity can be difficult to imagine, but this video explores it through the unusual Cantor set. You will see how repeatedly removing pieces from a line creates a mathematical object with surprising properties. Watch to discover how strange and fascinating infinity can become!

The essence of calculus

Calculus helps us understand change, motion, curves, and much more. This video introduces the big ideas behind calculus using clear visual explanations that make the concepts easier to see and understand. Watch to discover what calculus is really trying to describe!

Introduction to limits | Limits | Differential Calculus | Khan Academy

Limits are one of the most important ideas in calculus. This video introduces how limits help us understand what happens as values get closer and closer to a certain point. Watch to build a strong foundation for learning derivatives, continuity, and more advanced calculus topics!

The Golden Ratio: Divine Proportion From Math and Nature

The golden ratio is a special mathematical relationship that appears in shapes, patterns, art, and nature. This video explores where the golden ratio comes from and why people find it so interesting. Watch to discover how mathematics can appear in everything from geometry to the natural world!

Understanding Calculus

Calculus is used to study how things change, move, and behave over time. This video explains important calculus ideas and connects them to real engineering examples, helping show why calculus is useful outside the classroom. Watch to see how calculus can help us understand and design the world around us!