Undergrad Feedback for my YouTube Videos on Real Analysis

[caffeinemachine]

Some time back I posted about my videos on Group Theory on YouTube and got valuable feedback from the PF community.

With the response in mind, I made substantial changes to my presentation.
One of the main complaints was that I was speaking too fast.

Here is my recent video on Real Analysis: Archimedean Property of Reals

The purpose of this post is to get some more feedback on the clarity of videos such as above.

Ultimately my goal is to host a huge array of high quality higher math courses on my channel.

Thank you.

 

[Mark44]

One of the main complaints was that I was speaking too fast.

It appears that you took the complaint to heart -- this video was much easier to understand.

At the beginning of the video you were talking about ordered fields. You didn't define what you meant by "ordered". Also, when you talked about the term "field" you mentioned the four arithmetic operations. In analysis, the only binary operations are addition and multiplication. In the context of rings, integral domains, and fields (a field is an integral domain in which every element except the additive identity has a multiplicative inverse, which we can call z). Subtraction is defined as addition by the additive inverse (i.e., -x), and division is defined as multiplication by the multiplicative inverse (i.e., ##x^{-1}).

 

[caffeinemachine]

It appears that you took the complaint to heart -- this video was much easier to understand.

Thank you for the encouragement.

At the beginning of the video you were talking about ordered fields. You didn't define what you meant by "ordered".

This is only one video in a series of videos. Ordered fields were discussed in detail in a previous one. The beginning was meant as a quick recap.

Also, when you talked about the term "field" you mentioned the four arithmetic operations. In analysis, the only binary operations are addition and multiplication. In the context of rings, integral domains, and fields (a field is an integral domain in which every element except the additive identity has a multiplicative inverse, which we can call z). Subtraction is defined as addition by the additive inverse (i.e., -x), and division is defined as multiplication by the multiplicative inverse (i.e., ##x^{-1}).

I agree that 'subtraction' and 'division' are derived operations. I meant to only quickly capture the main idea of a field. All the formal details were covered in a previous video.

 

[Euge]

Hi @caffeinemachine! It's been a while. I looked at some of your more recent videos, and overall I enjoyed their clarity and quality!

 

[caffeinemachine]

Hi @caffeinemachine! It's been a while. I looked at some of your more recent videos, and overall I enjoyed their clarity and quality!

Hey thanks so much man!