Calculus 3 Lecture 12.3: Arc Length/Parameterization, TNB (Frenet-Serret) Intro

Calculus 3 Lecture 12.3: Arc Length/Parameterization, TNB (Frenet-Serret) Intro: How to find the arc length and arc length function of a vector function (space curve). How to reparameterize a vector function by arc length. An introduction to Movable Frames; TNB Frames or Frenet-Serret Frames and what they mean.

[xoppa]

professor leonard is a role model for future math teachers and professors

[hjalmarschacht]

Outstanding lecture. Correction: OUTSTANDING lecture. I'm self-studying calc. 3 using Thomas' text. This lecture was invaluable in explaining some of the finer details. just wanted to say thanks.

[larissaflores]

I go to an Ivy League and something I've found is that while professors here are undoubtedly brilliant in their fields, this doesn't always translate to them being equally great lecturers and educators. You sir, are BOTH! Thanks for getting me through Calc 2 last semester and Multi this semester! You are incredible! :)

[lemurpotatoes]

Reparameterization starts around 40:00 for those interested. At 1:35:10 TNB intro starts.

[connorgoosen]

The most frustrating thing about these lectures is how I find myself thinking of topics and insights Prof makes as obvious whereas before they were totally oblivious to me! Love these lectures. They are helping me get through my Calc 3 course while all universities have gone online.

[ElizaMaaka]

Professor Leonard has been saving mine and so many of my friends' asses and I just wonder if he even knows. He makes calc easy and I cannot express how great his lectures are. Forever grateful and happy to have these lectures available to me.

[brandonberisford]

I majored in physics and working as a software developer, and have decided to try and write a physics engine from scratch just for fun. Turns out TNB frames are extremely important when modeling particles, and its been ages so this and the next video have been a great refresher!

[eduardorivera]

Raise your hand if you think Leonard is GODLIKE!
Seriously, Professor. My current Calc 3 instructor admits to lecturing without preparation, constantly stumps himself, and has ABSOLUTELY no structure in his whiteboard notes. The ship was sinking and SuperLeonard came to carry it off sea and fly it to safety, That is why your profile picture is fitting! Thank you!

[adrianking]

Its hard to find a professor that understands right not rote. I appreciate the videos.

[tauceti]

2:32 - You just decreased my trepidation seeing radical squares a ton. You seem to answer all these questions i have at the back of my mind.
8:48
49:35
50:25
53:58

[maksymhoyda]

Weirdly enough, I really enjoy that I can see this video at 60FPS. Keep up the good work Leonard.
I'm a 17 year old living in Spain, and I plan to start learning calculus through watching your videos (Here in Spain we don't exactly learn calculus, but some parts of it I think (So far I've never had a math class called ''Calculus''). Hope I reach this video someday (Starting from your calculus 1 :) )

[iqbalahmad]

When you explain, it seems like everything is in the front of the eye .
Thanks for improving my imagination about math, i really enjoy math, specially calculus now :)

[ayshashahaniemohamednuhuma]

The TNB frames is about to come up in my Elementary Differential Geometry course, but I was able to watch this and make a link between the TNB frames and the Galilean and Lorentz Transformation matrices. I was astonished to come to the realization of how much math impacts the physical world, especially when it slaps me in the face like the TNB frames did.

I love these math lectures! I hope to see more throughout the rest of my career as a math major and beyond :)

[luiscenteno]

Why does it feel like everything he's telling is a secret LOL

[videosformybrain]

Wow this is my first time watching your videos for calc 3. I’ve always passed by them because of the length, but wow these are well worth it. I truly feel like I’m a part of the class.

[alijavidi]

this guy teaches the concept so clear ! Thank you so much Leonard

[rookiemvp]

As a prior mechanic on airplanes in the USAF, the use of an aircraft to describe the TNB was so helpful!

[Ofaseer]

Thank you so much for these lectures, I will forever be in debt. The whole point of school to me is to learn and I can definitely say I have learned from your lectures

[edwindavid]

Finished the whole playlist (some of them watched twice). Thank you professor Leonard for helping out everyone who has professors who are great in MATH, but bad at teaching.

[kevinmartinez]

I just wanna say thank you so much for all of these videos, your style of lecture breaks everything down so efficiently!