I really enjoy your videos. Please delete phrases like "obvious" and "simple" from your teaching lexicon. I know mathematicians love to use them to show how smart they are, but they are belittling and dismissive to students struggling with challenging concepts.
For the target audience of this channel, the words obvious and simple are quite appropriate in my opinion. If the contents of his videos are considered challenging concepts, then they aren't the target audience.
So are you referring to an instance like around 3:07 where Michael says it is obvious that the height of the triangle is im(Z)? If so then you are misjudging the audience of the video. If a viewer's math knowledge is are at the point where they still need to be told how im(Z) maps to the imaginary axis then that person is not the target audience of this video.
@@skylardeslypere9909 - No, they are not appropriate. The phrase "it follows that" would be an example that is appropriate. The target audience are people across the spectrum. By the way, when you refer to the words, you are to put them inside of quotes, just as lavieestlenfer did.
@@bsmith6276 -- No, Michael Penn, or other presenters, just needs to not say those additional *inappropriate* phrases. He can state that "The height of the triangle is im(Z)."
@@forcelifeforce So how much time should Michael spend re-explaining things? This video would be hours long if he had to explain every definition and theorem of basic complex math used. And what is "inappropriate" about a true statement? Just because he didn't explain every little detail? Not every video is for everybody. If you are learning the basics of complex numbers then this is NOT a video to watch for that. This video is aimed at people who already know the basics of complex numbers to showcase how to use them to prove a classic geometric theorem.
Very nice derivation. Not too complex, stretches your imagination, makes you look at the subject from a different angle. i like it.
i mean… it is pretty complex haha
That's very amazing. I have never had the idea to prove herons formula with complex numbers.
Why would you or anyone for that matter?
Very clever, Michael. I’ve never seen this done this way.
This is REALLY cool !!! Thanks a lot !
Very nice proof. You can also prove this formula thanks to resultant of polynomials which is original and unexpected.
so easy this way :)
10:40 was a good place to cough. But that was edited out in the final cut
Geometry! 😀
Why is the height Im(z) and not Re(z)?
bro teaching complex numbers using the tim apple cadence
lost me at 5:55, what motivates this?
So. Nice.
yaya the line :)
Does it fit with ec primes?
What are ec primes?
@bjornfeuerbacher5514 oeis sequence A301806
Suuuuiiii
Was Heron really heroic?
He liked fishing.
There is agood place to stop today,but good place to stop is not here. What a tragedy.
I really enjoy your videos. Please delete phrases like "obvious" and "simple" from your teaching lexicon. I know mathematicians love to use them to show how smart they are, but they are belittling and dismissive to students struggling with challenging concepts.
For the target audience of this channel, the words obvious and simple are quite appropriate in my opinion. If the contents of his videos are considered challenging concepts, then they aren't the target audience.
So are you referring to an instance like around 3:07 where Michael says it is obvious that the height of the triangle is im(Z)? If so then you are misjudging the audience of the video. If a viewer's math knowledge is are at the point where they still need to be told how im(Z) maps to the imaginary axis then that person is not the target audience of this video.
@@skylardeslypere9909 - No, they are not appropriate. The phrase "it follows that" would be an example that is appropriate. The target audience are people
across the spectrum. By the way, when you refer to the words, you are to put them inside of quotes, just as lavieestlenfer did.
@@bsmith6276 -- No, Michael Penn, or other presenters, just needs to not say those additional *inappropriate* phrases. He can state that "The height of the
triangle is im(Z)."
@@forcelifeforce So how much time should Michael spend re-explaining things? This video would be hours long if he had to explain every definition and theorem of basic complex math used. And what is "inappropriate" about a true statement? Just because he didn't explain every little detail?
Not every video is for everybody. If you are learning the basics of complex numbers then this is NOT a video to watch for that. This video is aimed at people who already know the basics of complex numbers to showcase how to use them to prove a classic geometric theorem.