New Video Course on General Topology on YouTube

In summary, a new video course on General Topology has been launched on YouTube, offering comprehensive lessons aimed at students and enthusiasts in the field. The course covers fundamental concepts and theorems, providing clear explanations and visual aids to enhance understanding. It is designed to cater to various learning paces and includes interactive elements to engage viewers effectively.
  • #1
caffeinemachine
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MHB
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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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  • #2
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
 
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  • #3
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.
 

FAQ: New Video Course on General Topology on YouTube

What topics are covered in the New Video Course on General Topology?

The course covers fundamental concepts in general topology, including open and closed sets, topological spaces, continuity, compactness, connectedness, and various separation axioms. It also explores advanced topics like product spaces, quotient spaces, and the concept of homeomorphisms.

Who is the target audience for this video course?

This video course is designed for undergraduate and graduate students in mathematics, particularly those studying topology or related fields. It is also suitable for anyone interested in expanding their knowledge of topology, including self-learners and educators.

How long is the New Video Course on General Topology?

The course consists of multiple video lectures, totaling approximately 10 to 15 hours of content. Each lecture is designed to be concise and focused on specific topics, making it easy for learners to follow along at their own pace.

Are there any prerequisites for taking this course?

While there are no strict prerequisites, a basic understanding of set theory, functions, and mathematical proofs is recommended. Familiarity with introductory courses in mathematics will help students better grasp the concepts presented in the course.

Is there any supplementary material provided with the course?

Yes, the course typically includes supplementary materials such as lecture notes, problem sets, and recommended readings. These resources are designed to enhance the learning experience and provide additional practice on the topics covered in the videos.

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