Calculus 3: Triple Integrals in Spherical Coordinates (Video #25) | Math with Professor V

Introduction to the spherical coordinate system. Examples converting ordered triples between coordinate systems, graphing in spherical coordinates, etc. Informal explanation of dV in spherical coordinates, and examples setting up and computing triple integrals using spherical coordinates as well as converting triple integrals between all three coordinate system. #calculus3 #sphericalcoordinates #tripleintegrals #mathtvwithprofessorv #youtubemath #mathprofessor #calculus #multivariablecalculus #mathtutor #mathhelp #calculushelp #cylindricalcoordinates

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[mjyrrlp]

Honestly you have saved me. My lecture slides are horrible to look at, but this is so easy to understand - no unneccesary info just so concise. You're a great teacher who doesn't make the content boring and difficult to learn :)

[patbingsoo]

In spherical coordinates for the integral of the cylinder, shouldn't the lower bound of rho for the integral defined by z = 3 be 3, and for the integral defined by r = 2, 2? I may be imagining it wrong, but I don't see when rho goes to zero. Thank you for these videos! They have been much more helpful for me getting an intuitive understanding than my professor's lectures.

[metungyangfo]

thank you so much ! couldn't find more better explanations than your'

[valeriereid]

Thank you for another awesome lecture.

[NicholasGonzalez-sgxw]

For the cylinder, shouldn't the lower bound of rho for the integral defined by z = 3 be 3, and for the integral defined by r = 2, 2? I'm not sure if I'm imagining it right, but I don't see where rho goes to zero. Also, thank you for the videos! They have been very helpful.

[tmfamc]

I just learned so much! Wow your better than my match professor at cal state Fullerton.

[ghassanebrabish]

crack me up every time she says so fancy :D. Thanks for these great lectures professor V.

[explorersnx]

Loved the video! Just curious, at 35:06: Why do we only consider the positive half of the radical?

[enzozhou]

I’m a little confuse in video time 39:00 how do you get the upper limit for phi is equal to pi/4?

[SobechukwuDi-Ibor]

why is it the full sphere for ρ = 3? what happened to the φ limit? shouldn't it be half a sphere since φ can only go from 0 to π?