Calculus 1 Lecture 5.3: Volume of Solids By Cylindrical Shells Method

Calculus 1 Lecture 5.3: Volume of Solids By Cylindrical Shells Method

[eduardojacinto]

10 years later, and this man is still saving lives!!! Thank God for Professor Leonard!!

[dpmike]

For shells the rectangles are PARALLEL to the axis of rotation

For disk and washers the rectangles are PERPENDICULAR to the axis of rotation


Just a hint I used for my students when I taught mathematics for 33 years

[MrCompenso]

I go to class for attendance but I watch your videos to learn. From the bottom of my heart and soul, THANK YOU. Every time I watch your videos, things get so much clearer and I gain a confidence in math I've never had before. Keep doing what your doing, sir. :]

[AtticusEluih]

Raising the bar in the gym and the classroom. ; ] @Professor Leonard

[rwharrington]

Back through this course a second time to review the material. Gotta say, I love how he gets you to really *see* what's happening geometrically rather than just plugging stuff into formulas.

[godri]

Got me raising my hand at home like "I GET IT!" XD

[richphero]

Prof Leonard, Organic Chemistry Tutor and Paul Dewitt Online Math Notes is simply the go to for calculus learning.

[bm]

I have class in the morning and I was too tired to do anything and I just put one of these on before falling asleep. Man this video was so engaging I almost wanted to work on the problem while he was doing it, watched the whole thing without pausing. Great job engaging people into wanting to learn

[jonathantosiocello]

Sweet mother of mercy, someone give that guy a tissue..

[RightWingDevil]

I've scoured the web for a lot of math videos in my time and you have the best. Seriously

[banzen]

Example 1 - 25:13
Example 2 - 29:00
Example 3 - 36:30
Example 4 - 45:00

[bleachfan]

Professor Leonard you are a hero. I'm taking a 5-week Calculus II course and my brain is fried before my class even starts. Your videos are so easy to understand.

[erickrobles]

Hi prof. Leonard! I'm glad to hear that you will be doing videos for Calc 3. You are a phenomenal instructor!

[Rob-gukd]

Watching these videos, its like having a wow moment for every lecture. It just makes sense. Especially towards the end when he explains why the Shells Method is the better method in specific circumstances. Amazing, I actually understand the benefits and when to use it vs the other methods. So happy🤯😁

[myty]

Best professor ever. This chapter is difficult to understand. but now i get it.

[wesh]

I just wanna drop a big THANK YOU to you Professor Leonard for all the help your videos have provided me

[leonardshipandeni]

This was great, can you upload one video whereby you use cylindrical shell method that is is not rotated about the y axis and the x axis but about a specific line.

[rdlounge]

Why? how ? have you become at what you do ?? You make my world brighter Sr. !!! Multiple blessings and awesome Karma for you and your loved ones forever and ever !! Your kids wont have to go to classroom to learn hahaha ;)0 Kudos!!

[FullCodedAlchemist]

Really grateful for your videos. I appreciate you drawing the functions in 3D when they have to rotate around the axis. I am bad at visualising them in my head, but it all makes sense when I saw your drawings in 3D. I am not sure why my professor doesn't do that ! Furthermore, I appreciate how you clarify and thoroughly explain the proof for the formulas. You also make it enjoyable and not dreadful or boring. Once again, thank you very much !

[RahatShamim-mydx]

Prof.leonard is really amazing salute to you sir.❤