New Video Course on General Topology on YouTube

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SUMMARY

The discussion centers on a new YouTube course on General Topology created by a mathematics educator, who also offers courses in Linear Algebra, Real Analysis, and preparation for Math Olympiads. The educator aims to provide comprehensive content with rigorous proofs and practice problems. Additionally, the use of the Python-based Manim library for video animations is suggested, highlighting its origin from the creator of the 3blue1brown channel, Grant Sanderson. The educator acknowledges the potential of Manim but notes the time investment required compared to traditional video creation methods.

PREREQUISITES
  • Understanding of General Topology concepts
  • Familiarity with Linear Algebra and Real Analysis
  • Basic knowledge of video production techniques
  • Awareness of the Manim library for mathematical animations
NEXT STEPS
  • Explore the Manim library for creating mathematical animations
  • Research best practices for teaching General Topology
  • Learn about video editing techniques to enhance educational content
  • Investigate methods for integrating practice problems into video lectures
USEFUL FOR

Mathematics educators, content creators in educational video production, and students interested in advanced mathematical concepts and teaching methodologies.

caffeinemachine
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Hello Everyone!
I created a YouTube channel (here's the link) a few years ago in which I post detailed lectures in mathematics.
I just started a series on General Topology. Following is a snapshot from a video.
2024-01-21_20-44.png

I mean to deliver a comprehensive course with a lot of pictures and intuition and rigorous proofs.

Apart from that, so far I have uploaded
  • A complete course in Linear Algebra.
  • A Kickstart series as a bridge between high school and college math.
  • A course on Real Analysis (which I am currently renovating).
  • Some material for preparation of Math Olympiads.
  • I am also converting my videos to have a light background.
  • Some other courses (like group theory) which require renovation.
Almost every lecture starts with problems for practice.
I hope that the people here would find the content useful and interesting.
 
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Likes   Reactions: WWGD, jedishrfu and Greg Bernhardt
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Thanks for sharing your work here. I'm always interested in learning new math and this should be a treat. Thank you. :-)

In case you interested in modernizing your videos even more:

Several math youtubers have been using the python-based Manim library for their animation work. The library was developed and first used by 3brown1blue math creator (Grant Sanderson) for his math videos.

https://www.manim.community/

and docs related to running and installing it:

https://docs.manim.community/en/stable/

On Github you can find Grant's personal Manim code that he develops independently of the community edition of the Manin community:

https://github.com/3b1b/manim
 
Last edited:
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Likes   Reactions: WWGD and PeroK
jedishrfu said:
Thanks for sharing your work here. I'm always interested in learning new math and this should be a treat. Thank you. :-)

In case you interested in modernizing your videos even more:

Several math youtubers have been using the python-based Manim library for their animation work. The library was developed and first used by 3brown1blue math creator (Grant Sanderson) for his math videos.

https://www.manim.community/

and docs related to running and installing it:

https://docs.manim.community/en/stable/

On Github you can find Grant's personal Manim code that he develops independently of the community edition of the Manin community:

https://github.com/3b1b/manim
Thank you for the suggestion.
I tried Manim for a bit but found that the time it takes to make one video using manim is way more than what I can do in the handwritten style.
Maybe when my coding skills improve Manim would be an option.
 

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