12.6: Cylinders & Quadric Surfaces

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Objective:
33. Sketch the standard quadric surfaces and the graphs of certain cylinders.

Alexandra Niedden

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Thank you so much Prof Alex!! Was having a really hard time understanding my university professor as he cramped the whole chapter into a 40 minute video. It was really helpful that you have broken the chapter down into smaller topics and giving examples for us to understand clearly! Thank you so much again for your help with this topic!
- Student from Singapore.

alexquahzhiwei

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thomasfowler

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BabaSphere

IT engineer student here, it really helped me. Thanks :)

teodorilie

Very helpful. My calc 4 professor barely covered conic sections and my precal professors NEVER introduced it to us whatsoever. Needless to say, this is gonna help me tremendously on my midterm tomorrow!

beetlejuice

Thank you so much!!! I’ve been struggling with these concepts in my Cal 3 class, but It’s easier to understand now. Thank you!

andream

oh my god! THANK YOU SO MUCH Prof Niedden!!! You literally saved my life! My Calc3 teacher used just 20 minutes with this topic and he taught me nothing! After just listening for 10 minutes, I understood everything! I will keep listening to your course for the rest of the semester!

zasss

for no.5 your intercepts confuses me. do we make (y-1)=0 for intercepts or do we make only y =0?

ifeanyiogbennaya

Thank you so much for these videos. You explain these concepts better than my professor.

oliviareul

Bless You Dear Professor, Math Wizard :)

underated free content
xoxo

abdullahe

How are you finding the intercepts? Specifically for example #5?

denisesoto

In 3D space having only 2 variables in the equation for a Cylinder is necessary but not sufficient. For instance z=x^2 (as shown in the video clip) is a parabolic cylinder sitting on the y-axis.
z= x^2 + y is also the same cylinder tilted and sitting on the z=y line. But 3 variables are present.
Just a question for thought.
Can we categorize a Plane to be a Cylinder?
It sure does satisfy the definition of a Cylinder

mydawit

Thank you so much for explaining it a million times better than my home university professor. A thanks from Seoul, South Korea. Btw, if I may ask, what is the pen you are using it sounds so nice!

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