Calculus: Bisection, Secant, and Newton

This video provides a unique view into what Calculus is, what it can be used for, and how it can be used in the real world. To illustrate how these three concepts are all connected, I consider the two very important examples of finding the solution of a complicated equation and finding the maximum or minimum of a function. I compare the bisection, secant, and Newton methods of solving these problems to show how Calculus can be used to rapidly solve important problems that might appear to be part of algebra. (I also toss in the incremental search method to compare with a brute force method that does not directly use Calculus.) All of this gives a peek into the vibrant world of numerical analysis, which is behind most real-world mathematical solutions in science, engineering, medicine, economics, and more. I hope this video gives you a better appreciation for just how powerful and useful Calculus is in the real world. If you end up with a career that uses Calculus, you just might use methods like those described here.

The purpose of this video is primarily to gain intuition for Calculus, not as a serious video on numerical methods for finding roots of equations. However, if there is enough interest, I would happy to make such a video - let me know.

Видео Calculus: Bisection, Secant, and Newton канала New Planet School