TNB Frames (Frenet-Serret) | Calculus 3 Lesson 33 - JK Math скачать в хорошем качестве

TNB Frames (Frenet-Serret) | Calculus 3 Lesson 33 - JK Math

How to Find TNB Frames (Frenet-Serret) (Calculus 3 Lesson 33) ➡️ Download my FREE Surfaces Cheat Sheets: https://www.jkmathematics.com/surface... 🖥️ Membership Site (community & bonus content): https://www.jkmathematics.com/plus 🌐 My Website: https://www.jkmathematics.com ⭐️ Support Me on Patreon:   / jkmath   In this video you will learn about TNB frames, also known as Frenet-Serret frames, and how to find them. TNB frames are composed of 3 vectors: the unit tangent vector, the unit normal vector, and the unit binormal vector. Together, these three vectors describe the heading, turning, and twisting of a particle moving along a path of motion (a curve) in 3D space. We take a look at the formulas for finding each of these vectors, and how they are related to one another. This video series is designed to help students understand the concepts of Calculus 3 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture! Calculus 3 requires a solid understanding of concepts from calculus 2, calculus 1, precalculus, and algebra. This includes limits, differentiation, advanced integration techniques, applications of derivatives and integrals, polar coordinates, parametric equations, trigonometric functions, logarithms, factoring, equation manipulation, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first! Video Chapters: 0:00 What are TNB frames? 10:56 How to Find TNB frames 22:45 Summary of Formulas 25:30 Example Part 1: Finding Unit Tangent Vector 27:55 Example Part 2: Finding Unit Normal Vector 31:28 Example Part 3: Finding Unit Binormal Vector 38:30 Relationship to Curvature 📝 Examples Video:    • TNB Frames Examples (Frenet-Serret) | Calc...   ⏩ Next Lesson: 📺 Calculus 3 Playlist:    • Calculus 3   📺 Calculus 2 Playlist:    • Calculus 2   📺 Calculus 1 Playlist:    • Calculus 1   ⚡️Math Products I Recommend⚡️ Graphing Calculator: https://amzn.to/3XuUcB9 Non-Graphing Calculator: https://amzn.to/46hHJ7E Financial Calculator: https://amzn.to/3CRe9s4 Graphing Paper: https://amzn.to/46mAfAr College Rule Paper: https://amzn.to/3NOJaTN My Favorite Pencil: https://amzn.to/3NOFMIB My Favorite Erasers: https://amzn.to/3PumUQB Calculus Workbook: https://amzn.to/3r8SnNP ⚡️Textbooks I Use⚡️ Calculus 1 & 2: https://amzn.to/3PzfI5F Calculus 3: https://amzn.to/46rSy76 Financial Mathematics: https://amzn.to/3ppIVW0 Algebra: https://amzn.to/3Eaq1cy ⚡️My Recording Equipment⚡️ iPad Air: https://amzn.to/3phEug1 Apple Pencil (Gen 2): https://amzn.to/3Nl45MM Tablet Desk Stand: https://amzn.to/4420rPh External Hardrive: https://amzn.to/44pkEyh (Commissions earned on qualifying purchases) Follow me on Social Media!   / jkmathematics   Found this video to be helpful? Consider giving this video a like and subscribing to the channel! Thanks for watching! Any questions? Feedback? Leave a comment! Josh from JK Mathematics #calculus Disclaimer: Please note that some of the links associated with the videos on my channel may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.