The Proof of TAYLOR'S THEOREM Ms. Michael Never Taught You
If you're interested in personal help, I've posted my tutoring services on Fiverr: https://www.fiverr.com/s/dDYkBlz
I have not had the opportunity to teach mathematics as much lately, given the amount of focus I have given to my research. I enjoy the process of teaching and interacting with students and so have decided to do some online tutoring.
In this video, we look at a very elementary proof of Taylor's theorem that I stumbled upon while going for a walk the other week. The proof uses only the fundamental theorem of calculus is such an easy proof that we could've all discovered it if we had gone on enough walks.
Timestamps:
0:00 Introductory chit chat
1:26 Reminder of Taylor's theorem
2:59 Reminder of the Fundamental Theorem of Calculus
3:34 Proof of Taylor's theorem using the Fundamental Theorem of Calculus
9:22 Completion of the proof of Taylor's theorem
9:46 Outro chit chat
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These videos are separate from my research and teaching roles at the Australian National University, University of Sydney, and Beijing University.
These videos are made using the open-source library -- Manim -- created by 3blue1brown: https://github.com/3b1b/manim
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