Taylor Series

https://github.com/Cbonief/Video-Serie-Taylor

This project is very dear to me as it combines three of my passions: programming, mathematics and teaching.

The video is currently only available in Portuguese, but I do plan on releasing a version of it in English.

In it I start from the ideas of the derivative and linear approximation and slowly build towards the Taylor Series of a general function. This is done by using linear approximation to estimate the value of the derivative, second derivative, and so on... and making linear combinations of these estimates. But in practice this is more straight forward and intuitive than it sounds.

I made the animations using Manim, the python framework originally developed by math youtuber 3Blue1Brown. They are all publicly available in my Github Repo.