💡Calculus was developed to solve paradoxes in ancient Greek philosophy.
🔍The paradoxes of Zeno's dichotomy, area under a curve, and Zeno's arrow challenged our understanding of space, motion, and time.
📚Calculus introduced the concepts of limits, integration, and derivatives to solve these paradoxes.
🌐Calculus is a fundamental tool used in various fields to solve complex problems.
⏳Calculus deals with the mathematics of change and is essential for understanding the world around us.
What is calculus?
—Calculus is the branch of mathematics that deals with the mathematics of change, including rates of change, motion, and area under curves.
Why was calculus developed?
—Calculus was developed to solve paradoxes in ancient Greek philosophy related to space, motion, and time.
What are the key concepts in calculus?
—The key concepts in calculus are limits, integration, and derivatives. These concepts provide tools for solving complex mathematical problems.
How is calculus used in real-world applications?
—Calculus is used in various fields such as physics, engineering, economics, and computer science to solve problems involving rates of change, optimization, and modeling.
Why is calculus important?
—Calculus is important because it allows us to understand and quantify change in the world around us. It provides us with powerful tools for solving complex problems and making predictions.
00:00- This episode was made possible by CuriosityStream. Hello, calculus is the mathematics of change.
03:06- Let's take a closer look at how this sum breaks down. The first two terms add to get 0.75.
05:09- Well, let's take a closer look. What is it doing one second after it was fired?
08:31- As the distance between our two points approaches zero, this slope value that we're calculating approaches the tangent to the curve at a point.
11:39- Sometimes they turn out to be just tricks of logic with simple solutions. And in other cases, they have a huge impact changing the way we think and carrying on for centuries.
