Visualizing Multi-variable Functions with Contour Plots

We've seen the graphs of single variable functions like y=x^2 throughout calculus, but now that we are in multivariable calculus and our graphs are of functions like f(x,y)=x^2+y^2 - that is, more than one input - what do they look like? We can use contour plots (sometimes called level curves) to get a nice picture in the two dimensional domain that will help us sketch the three dimensional graph of the function.

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This video was created by Dr. Trefor Bazett

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[mrbrafi]

I was searching for contour plot tutorials as I was learning machine learning and for a cost function I needed to visualize a contour plot. I needed to understand how our programs find the best fit line or the lowest point of the 3d graph. Then I suddenly found this video and it's amazing. I'll also suggest my friends to subscribe this channel.

[youssefdirani]

I highly appreciate you don't use background music. Please keep it that way.

[sAiTAMa]

I have a feeling that you were born to be a professor, more like this profession needs you.

[udayprakashsoni]

Excellent way of explaining the Contours. Really liked it !

[tomasblazek]

Amazing job! I was going thru some pretty hard times trying to only imagine it and for my technical mind, I need to clearly visualize and almost touch things before I can say I understand them. Therefore your way of explanation was for me more effective than 2 hours of theoretical discussion.

And as Confucius wrote down “Tell me and I will forget, show me and I may remember; involve me and I will understand.”

[andrerossa]

Excellent lesson! Thanks for such an enthusiastic way of explaning the main ideas.

[songohan]

this is the only video I found to this topic and it is amazing, thanks

[raphaeldayan]

Thank you very much for your video, you're a very good professor, your explanations are amazing, thanks.

[DeepakSingh-ufvv]

who so ever edit your lectures is super awesome, and the content is really cool.

[shutupimlearning]

thank you so much for this video. I didn't understand it when my lecturer was explaining it so you really saved me!

[vishalvarakhedkar]

Dear sir,
May god bless you and give you a fulfilling life. The explanation cannot get better than this!

[DiegoMathemagician]

i love your videos :) thank you for doing this

[venjaminschuster]

amazingly explained! Thank you very much!

[bharathbn]

great video and answered all my questions ....thank you sir

[DaTNamEGaMinG]

Damn, this video was sooo easy to understand, its incredible!

[eisomouwen]

Great video, it was really helpful! keep it up!

[srivatsavavuppala]

Great Content Sir!!!! Helped me a lot in TYSM ❤

[nikhilgupta]

very nice explanation...with visualisation

[m.venkadesen]

I'm from India class 12 th student . I am able to understand this video. Elegant explanation sir🤩

[alkankondo]

Hahaha, that "pause animation" at 6:19! 😆