Using Calculus in Everyday Life

Can mathematics really predict the future? It sounds impossible—but every day, calculus is used to predict the motion of planets, the vibration of bridges, the spread of diseases, population growth, weather patterns, and even gravitational waves that were detected more than 100 years after Einstein predicted them. In this video, you'll discover how one of the most powerful ideas in mathematics—the differential equation—allows us to predict how systems evolve over time. We'll start with a simple rabbit population, move on to springs and oscillations, then explore planetary motion before finishing with one of the greatest scientific achievements of all time: Einstein's prediction of gravitational waves. No complicated proofs. No unnecessary jargon. Just clear, intuitive explanations that make calculus finally make sense. If you've ever wondered why calculus is considered one of the most important inventions in human history, this video is for you. If you enjoy videos that explain difficult ideas simply, please Like, Subscribe, and turn on notifications for more videos on calculus, physics, relativity, and mathematics.