Calc 3, Exam 1 walkthrough (Spring 2023)

A walk-through of the solutions for Exam 1 of Calculus 3 administered in Spring 2023.

0:00 Intro
0:28 1 -- Midpoint; area of triangle
9:59 2 -- Length of curve; unit tangent vector
17:57 3 -- Projection
24:39 4 -- Nearest point to a line
36:48 5 -- Surfaces in various coordinate systems
46:31 6 -- Tangent line to a curve
50:45 7 -- Find line coming from intersection of planes

[LoganLettow]

Got off on the wrong foot with calc 3, this video has made me realize I'm gonna be just fine. Thanks Dr. Butler!

[Pilot_Lite]

Your pacing is perfect and your explanations are thorough yet brief. Thank you

[tylergraybill]

Steve, the legend, Butler ensuring once again that I do well in my exam. Thank you for doing what most math teachers at ISU can not.

[csconnor]

This is in perfect timing for my first exam in the fall, and since I got off to a late start, I can't thank you enough for this!

[KayceeGracia-hv]

I'm taking multivariable calculus at Yale and this helps TREMENDOUSLY.

Not only do you explain things eloquently but your voice is so soothing, I can't help but be relaxed preparing for this test.

[redtree]

This is AMAZING. I can’t believe it has so few views.

[owen]

Absolute best review ive ever seen. Came at a perfect time.

[leol]

beatifully articulated and nicely presented
im impressed thank you very much for your time

[JonSatherTAMU]

his voice makes me want to listen to a video about calculus.

[shablob]

These videos are great! Is there a way I can access the pdf of these sheets u work on, I like to do the problems on my iPad digitally so it helps having the pdf

[drewpolzin]

Owen Wilson impersonation could go hard

[fangsherman]

Imagine something going 3 parsecs per year

[bignibba]

Quick question on the first problem. When you’re solving for magnitude why are the components not squared before being added? Like when you find the magnitude in the next problem.

Loving the video so far though! Very easy to follow! Thank you!