Calculus 3, Geometry of space and vectors review (Fall 2019)

0:00 Introduction
2:22 1 - Finding plane geometrically
9:01 2 - Parametric curve; midpoint
14:02 3 - Cumulative arc length
25:17 4 - Surfaces in cylindrical/spherical
35:09 5 - Tangent line to parametric curve
42:22 6 - Area of parallelogram
49:30 7 - Osculating plane to a curve
54:15 8 - Closest point on line
1:00:50 9 - Curvature
1:07:29 10 - Projection of parametric curve
1:14:41 11 - Decomposing acceleration
1:22:26 12 - Finding spheres geometrically
1:37:23 13 - Finding position from velocity
1:40:44 14 - Angle between intersecting curves
1:49:17 15 - Identifying quadric surfaces

[Hi_Brien]

I just want you to know, I have never scored below a 100% on a Calc test since I started watching these videos. And I'm not gonna let that change today

[themathguy]

i have a Calc III credit exam in like a month and these are going to be a life saver

[georgesadler]

Professor Butler, thank you for a fantastic Calculus Three, Geometry of space and vectors review. From watching this video, I found these problems challenging from start to finish. These problems forces students to think geometrically/analytically about Calculus and Mathematics. I took Calculus Three many years ago at the old Catonsville Community College in Catonsville, Maryland and all my exams were take home and they were difficult.

[louisxbuzan]

thank you you helped me a lot tonight.

[danielleeggers]

i have an exam that i'm studying for in a few days and this video is a lifesaver!

[andream]

I’m going to take Cal 3 this Summer for my Summer classes. I’m trying to get a head start by June :)

[masha_elr]

Have a calculus exam in 2 hours, anxious and stressed

[zeineb]

I wish you were my calculus professor. Thank you so much for that video However!

[numberrotccadet]

He made that “small moon” error on the second problem just to make that joke don’t @ me. 😂

[DanielPerez-wsts]

Nice work. However, I may not take Calculus 3 in college.

[sebababoo]

I mistakenly typed calculus 3 instead of 1. Now I'm gonna kill myself 😭.

[aaronsluther]

I love your voice! It reminds me of a mixture between Chevy Chase and Jerry Seinfeld.