Dear Krista, I have faithfully watched yours and Christine Breiner’s (of MIT Courseware) Calculus videos. Truthfully, I am beyond amazed at both of your levels of skill and brilliance, and the ability to teach and do so in such a pleasant, down to earth, caring way. Thank you both for all you do and please continue with more videos. I am nowhere near your levels, but I do learn from you, and it is a very enjoyable learning experience each time. Blessings, George.
Thank you so much, George! I'm so happy that you enjoy the videos and are able to get great use out of them... I really appreciate you saying hi and letting me know! :)
I can't believe i watched like 6 videos on this and NOBODY thought of putting the first diagram she put to the left (3 dimensional graph combining both the function and level curve), i've been trying to understand this for like 2 hours but one glance at the diagram made it clear
Krista King, I gotta admit you are good, and very clear at your explanation. I watch a couple of your video, and now I can recognize the quadratic surface like drinking water as easy as peace of cake.
Been trying to search for this for 2 weeks. Finally understood. I remembered studying this in engineering some 13-14 years ago but I couldn't remember why the oval shape comes in and why it's slanted this way instead of that way. Danke!
Added to my education playlist. I only save the best on youtube. Thank you...and my future self who will also probably use this to relearn thanks you as well
Could you tell me please why the ellipsoid in the second example is elongated along the x-axis? The x^2 is divided by 4 but y^2 isn't, so I don't understand why x would be elongated. It seems to me that x would be shrunken more if divided by 4. Thanks.
with the ellipsoid equation, the denominator of x and y correspond to the 'magnitude' of the ellipsoid. meaning that, if you have (x^2 /a^2) + (y^/b^2), the size of the elipsoid will be: a (in x axis) and b (in y axis). In the example, x is divided by 4, (therefore the elongation will be in 2 **because root of 4 = 2** ), and y is divided by 1 (meaning its elongation in the y axis will be of 1). if you plot the points in the 2d graph, youll see that x is elongated
great video ...just one thing...if you replace the C in the second example with a constant, then you are going to get a Hyperbola instead of an ellipse. but over all well explained. thank you.
What if you dont realize the inherent curve of a function. Like knowing the equatuin of an eclipse for the second example? All these example on youtube are just for recognized equations
WOW! You can not beat that handwriting! So c crisp and clear.
Thank you for sharing.
Dear Krista, I have faithfully watched yours and Christine Breiner’s (of MIT Courseware) Calculus videos. Truthfully, I am beyond amazed at both of your levels of skill and brilliance, and the ability to teach and do so in such a pleasant, down to earth, caring way. Thank you both for all you do and please continue with more videos. I am nowhere near your levels, but I do learn from you, and it is a very enjoyable learning experience each time. Blessings, George.
Thank you so much, George! I'm so happy that you enjoy the videos and are able to get great use out of them... I really appreciate you saying hi and letting me know! :)
@@kristakingmath Krista mam I also enjoyed 😊
Awesome collection of math videos. Very helpful. Thanks a lot. 😃
omg !! the bestest video ever n
thanks 😊
best explanation of level curves ever.
you right, calculator.
I can't believe i watched like 6 videos on this and NOBODY thought of putting the first diagram she put to the left (3 dimensional graph combining both the function and level curve), i've been trying to understand this for like 2 hours but one glance at the diagram made it clear
Best video I’ve found on this literally!!!! Thank you
Krista King, I gotta admit you are good, and very clear at your explanation. I watch a couple of your video, and now I can recognize the quadratic surface like drinking water as easy as peace of cake.
Oh good! I'm so glad the videos have been helping! :D
Been trying to search for this for 2 weeks. Finally understood. I remembered studying this in engineering some 13-14 years ago but I couldn't remember why the oval shape comes in and why it's slanted this way instead of that way.
Danke!
Thank you, old guy going back to school needs all the help he can !
Good for you for going back, that's awesome! :)
Krista King just found out I can graduate in December, eye on the prize, son will graduate High school spring of 21’ just had to finish before he did
Great video Krista King!
Thank you so much!! :)
this channel is the best
I hope you're happy about what you do.
This is so helpful! Love your clear explanation and voice!!!thank you
You're welcome, Jessica, I'm so glad this helped! :)
I love your videos! They helped me a lot through my calc 3 course.
Thank you so much, I'm so glad I could help! :)
Thank you! please, keep uploading more videos ))
the best explanation I have ever seen
It was very easy understand to with your explanation. Thank u very much.
You're very welcome, I'm glad it made sense! :)
best explanation ever
Thank you so much........... Best explanation. I was confused a lot before watching this video... Now the things are more clear to me
You're welcome, Manmeet! I'm so glad it helped! :D
Great video. Great drawings. Great Explanations. SO simple. Thank you
Best explanation with 4K video means I can skip the class and still get an A. Thank you so much
No problem, Prabin, glad it helped! 👍
Thanks for your amazing explanation!
You're welcome, Bowen, I'm so glad you liked it! :)
THANK YOU SO MUCH SHERA
You’re so welcome!! ❤️
Clear and great explanation ! thank you so much.
Thank you! I'm so glad it helped! :)
Super explanation ...ma'am ..1👌👌
Thanks a lot, papa! :)
Well-done, understood
Added to my education playlist. I only save the best on youtube. Thank you...and my future self who will also probably use this to relearn thanks you as well
This is the first video I've ever seen offered at 4K/60fps
Really nice video..... Easy to understand!!
Great video!
Thanks, abdel! :)
Omg, your videos are absolutely great, thank you very much!
I'm so glad they're helping! 😊
I like you and like your video explaining the level curves
omg you the best saved my life and time
I'm so glad it helped, amir! :)
Helpful really!
Glad it was helpful, Unnati! :)
Can you sketch level curves of z=1/xy.
Thank you! That was great review.
Your videos are amazing. Thank you so much!
Thanks, very helpful to me.
You're welcome, Wahid! I'm so glad it helped! :)
It all makes sense now thanks a lot
اعظم مدرسة ❤️❤️😘
Extremely helpful!! Thank you!
You're welcome, Michael! I'm so glad it helped! :D
Could you tell me please why the ellipsoid in the second example is elongated along the x-axis? The x^2 is divided by 4 but y^2 isn't, so I don't understand why x would be elongated. It seems to me that x would be shrunken more if divided by 4. Thanks.
with the ellipsoid equation, the denominator of x and y correspond to the 'magnitude' of the ellipsoid. meaning that, if you have (x^2 /a^2) + (y^/b^2), the size of the elipsoid will be: a (in x axis) and b (in y axis). In the example, x is divided by 4, (therefore the elongation will be in 2 **because root of 4 = 2** ), and y is divided by 1 (meaning its elongation in the y axis will be of 1). if you plot the points in the 2d graph, youll see that x is elongated
May I be so bold and ask what program/hardware you use to write these lessons? Thanks for the awesome content!!!
Hi Arno! I explain here: www.kristakingmath.com/blog/how-i-create-my-videos
Great video! well explained.
that was great,loved your explanation,thank you.
best explanation ever I got
😘😘😘
Very helpful, thanks a lot!
Life saver.💝
May I know what apps do you use to do such things?
I use Sketchbook and Sceenflow, along with a Wacom pen tablet. :)
thank you
Thank you!
great video ...just one thing...if you replace the C in the second example with a constant, then you are going to get a Hyperbola instead of an ellipse. but over all well explained. thank you.
What program do you use for your sketches and videos? Its awesome!
Hey Alyssa! It's called Sketchbook. :)
i like your video. thanku😍
thank you!
You're welcome! :)
Can you please tell me which software are you using? It will really help me to teach the students in the class
It's called Sketchbook. If you want more information, here's how I put the videos together: www.kristakingmath.com/blog/how-i-create-my-videos
Okay, thanks a lot.
Thanks for it. Did you graph also in the sketchbook?
Awesome...❤️
Hi thanks a lot for your amazing videos
If I want to study calculus 3 from your videos what is the order of the tutorial
Hey, Jake! Focus on Partial Derivatives first, then Multiple Integrals, then Vectors. :)
thank you 😍
Does anyone know the name of the software used in this video?
Hey, Zach! I use Sketchbook (by Autodesk) for the blackboard, with an old Bamboo tablet from Wacom, and then Screenflow to record and edit. :)
Numerology about Lahinch
Numerology (Expression Number), correct?
I LOVE YOU😭😭😭😭😭💘
What if you dont realize the inherent curve of a function. Like knowing the equatuin of an eclipse for the second example? All these example on youtube are just for recognized equations
👏👏👏Thank you alot
Difficult concept with easiest way.....Thank a lot.
How can i sketch the level curves when the question contains sin,cos,tan and others ?
you are a gift from god
Awesome
mam,can u post funcuntion video for beginers. ☺
Perfect
God bless you
TE AMO
Nicely explained, just please label your axes :D especially in the 3D plots
I love your voice!
Krista is clearly a goddess and we are lucky for her presence
died at 9:10 lmaoooooo thank you
Three-dimensional graph of z=x^2+y^2 is not correct
you look like sehnaz
Started wondering about orbits, gravity, and excuse me boobs
thank you