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

Explore the fascinating world of Newton's method and its unexpected connection to fractals in this 26-minute video. Delve into the complexities of root-finding for polynomials and discover why this intriguing mathematical concept isn't typically taught in calculus classes. Learn about Newton's method, its application in generating fractals, and the unique boundary property of these mathematical structures. Gain insights into the intersection of calculus, complex analysis, and fractal geometry while exploring interactive visualizations and related resources. Perfect for mathematics enthusiasts and students looking to expand their understanding of advanced calculus concepts and their surprising applications.

- Intro.
- Roots of polynomials.
- Newton’s method.
- The fractal.
- The boundary property.
- Closing thoughts.