Contour Map of f(x,y) = 1/(x^2 + y^2)

Multivariable Calculus: Sketch the contour map of f(x,y) = 1/(x^2 + y^2). Label the level curves at c= 0, 1, 1/4, 4. We sketch the graph in three space to check our map.

For more videos like this one, please visit the Multivariable Calculus playlist at my channel.

[bowielow]

I feel dangerously out of breath while listening to your voice... good stuff anyway

[MathDoctorBob]

@21bvo You're welcome. Thanks for the comment. - Bob

[robg]

Thanks - I battled for a whole day to understand. Then, found your video. Cheers.

[shirsha]

Doctor Bob is the best,
watching his videos gives me time to rest.
I love your voice,
Your look is also noice.

[MathDoctorBob]

@DarkMrFrank - Thanks for the comment. - Bob

[aban]

This guys sounds like Nicholas Cage. Therefore, I like this video.

[MathDoctorBob]

You're welcome, and good luck on finals! The website organizes the links by subject better.

[pauluk]

It's a map for circle inversion! Some things we can use the contour sketch to illustrate are the directions of maximal and minimal change (radial and tangential respectively)

[maybesomaybenot]

Thanks for the vids, got a calc 3 final on monday and this is helping me out a lot! keep up the work! :)

[MathDoctorBob]

@idam4n Thanks! Glad to be of help. - Bob

[MathDoctorBob]

Thanks for the comment. That's how Kirk beat Khan.

[greggmcmillion]

Thanks, definitely cleared up some confusion i've had about contour maps.

[Kbomba]

very nice and helpful video Dr. Bob. You truly scare me everytime I see you because of how buff you are for a math teacher :P

[bradfordtownsend]

Big help the concepts just were not coming together the video really helps. Had hard time with relating 2d and 3d.

[mclovin]

God damnit, I don't understand why am I learning how to sketch contour maps with linear lines stretching diagonally across the

[omiorahman]

thank you sir, this will help for the exam

[delaneythompson]

So c relates to z aka the height! it makes so much more sense now (:

[packleader]

If someone would of told I would be reading contour maps I would have paid more attention in math class.

Remember you'd wondered: "Why am I learning this?"
Well, now we know why...

[imnimbusy]

I see no cons in this contour-tour (a tour of contours), Tell me the lore of this contour for before the contour, there was WAR! Let torus a contour then all tours be Hamiltonian, course not for tours be too much a bore to tour the Hit Musical Hamilton. To much to bore, for contour, let all at ease in the bountiful lore. The lore of tours, for which is a con of tours; contours .