8:56 The stare down and the 'Right' is soooo good. It just made the whole video for me. Other than that 5 years later this video is still extremely helpful and accurate. Thanks a bunch!
I liked how you compared the output of the approximation equations to the original equation at various points. That was the moment where it clicked for me.
Great Video. You have a clean straight way of clarifying the "why". I enjoyed your hydraulic examples. If only class math teachers could be like you! Thank you.
Hi Uba, thank you for watching! I am glad you find the information enjoyable and the delivery clear! Please feel free to check out other videos on my channel, and don't hesitate to reach out with topics that you would like to see covered in controls or systems!
Dude ! You are certainly far better than the average ones. If you want to continue UA-cam, collaborate with other math youtubers and share your videos in friends. Best of luck ! Keep going.
Thank you for watching Muslimbek. I am glad you liked the content. My goal is to never compromise on the details and be able to explain the topics as clearly as possible!
I find it intresting when one learns these Mathematical Operations, some instructors rarely give you context on how to leverage it or why one would even want to do such a thing. Thanks to your video's I'm finding that such an operation is quite useful given the "why". In any case, great video dude, keep it up!
at 10:25 of the video, how is the linear approximation equation y = y(x0) + 2x0x - 2x0^2 a linear system? I applied it to the superposition principle and found results are not the same.
y = y(x0) + 2x0x - 2x0^2 is linear because the first term y(x0) is a constant and the last term -2x0^2 is a constant as well. So the only term left as a function of x is the middle term 2x0x. Therefore y is linear in x.
8:56 The stare down and the 'Right' is soooo good. It just made the whole video for me. Other than that 5 years later this video is still extremely helpful and accurate. Thanks a bunch!
Been looking through videos for hours trying to find something I could wrap my mind around. Thank you for the clear explanation!
Thanks for watching Cole! Glad you found this useful
Extremely clear explanation. Good work man and thank you!
But a mere non-engineering calc 2 student, but this is the best explanation of the Taylor series approximation that I've seen.
Thank you Soonerbjj! Glad you found this video useful, let me know if there are any topics you are interested in seeing videos on
I liked how you compared the output of the approximation equations to the original equation at various points. That was the moment where it clicked for me.
Awesome! Glad to help
Truly a legend for this. Thank you
Thank you for watching! Glad you found the video useful
Great Video. You have a clean straight way of clarifying the "why". I enjoyed your hydraulic examples. If only class math teachers could be like you! Thank you.
Hi Uba, thank you for watching! I am glad you find the information enjoyable and the delivery clear! Please feel free to check out other videos on my channel, and don't hesitate to reach out with topics that you would like to see covered in controls or systems!
Hi EE. I would surely do so. Thanks.
Dude ! You are certainly far better than the average ones.
If you want to continue UA-cam, collaborate with other math youtubers and share your videos in friends. Best of luck !
Keep going.
Thank you! I am glad you enjoyed the video.
Thank you
Very clear explanation, keep going
Thank you for watching! I am glad you found it useful
It is sad that there is so little high level math in youtube in a good quality. Refreshed my sophomore year of college in 30 mins. Thanks!
Thank you for watching Muslimbek. I am glad you liked the content. My goal is to never compromise on the details and be able to explain the topics as clearly as possible!
Awesome explanation. It's easy to get so caught up in all of the math and forget what the purpose of it all is.
Thank you! I am glad you found this video useful. Please let me know if there are other topics you would like to see videos on
I find it intresting when one learns these Mathematical Operations, some instructors rarely give you context on how to leverage it or why one would even want to do such a thing. Thanks to your video's I'm finding that such an operation is quite useful given the "why". In any case, great video dude, keep it up!
Thank you for watching! Glad you found it clear and useful. Feel free to share, and think about subscribing to the channel
Very clear explanation. Much love!❤
Thank you for watching! Glad you found it clear and useful
great explanation and presentation,
many thanks!
Thank you! Glad you enjoyed it, let us know if there are any other topics you're interested in and would like to see videos on
You know you're a solid engineer if you're NASA shirt is inside out ;)
Great video, thanks for the help!
Thanks for watching! I am glad you found the video helpful! BTW you are the first one to notice the shirt :)
Very clear explanation and extremely helpful. Thanks a lot.
Thank you for watching! I am glad you found the video useful
very nice video, continue with them
Thank you! Glad you enjoy the videos!
amazing thank you for the clear explanation
Thank you so much! this helped me understand clearly
Thank you for watching!
Hi! Thanks a lot! Shouldn't it be 'f' before 'x1+x2' in 4:19 ?
Thank you. It is an amazing explanation.
Thank you for watching Navid! Please feel free to subscribe. And if you have any topics you would like to see videos on please reach out
at 10:25 of the video, how is the linear approximation equation y = y(x0) + 2x0x - 2x0^2 a linear system? I applied it to the superposition principle and found results are not the same.
y = y(x0) + 2x0x - 2x0^2 is linear because the first term y(x0) is a constant and the last term -2x0^2 is a constant as well. So the only term left as a function of x is the middle term 2x0x. Therefore y is linear in x.
clear explanation ❤️
well explained
tnx
Thank you for watching!
Excellent thank you so much
Amazing!
Thank you for watching! Glad you found the video useful
Excelente explicación!!
Thank you! I am glad you found this video clear and useful. Please let me know if there are other topics you would like to see videos on
thank you sir...continue..
Thank you for watching, glad you enjoyed it
Amazing
Thank You man!
You are welcome! Glad you liked the video
great job
Thank you Mohammad! I am glad you enjoyed the video, thanks for watching!
How do you reach the final equation 2x0(x-x0)is not equal to 2x0x
Google is creepy. Yesterday i was thinking of linearization. UA-cam brings me that video
is no one wondering how that board works? he is writing on it, looking at us AND the writing is directed to us
are you telling me you're writing mirrored on a glass
its mirrored, notice his nasa shirt is flipped
@@ShiroTenshiTN how can I be this unobservant
@@ShiroTenshiTN I thought he was writing backwards stood behind a pane of glass hahahahahaha. good spot
wait no it only looks like that coz his shirt is inside out. maybe not :o
❤️
soooo... why dont you mirror your video?
He flipped his video