Space Curves & Vector-Valued Functions | Calculus 3 Lesson 24 - JK Math

How to Sketch Space Curves & Use Vector-Valued Functions (Calculus 3 Lesson 24) ➡️ 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 vector-valued functions and how they can be used to represent plane curves in 2D and space curves in 3D. You will learn how vector functions relate to parametric equations, how to identify the domain of vector functions, and how to sketch them. 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 Review of Parametric Equations 2:35 What are Vector-Valued Functions? 8:51 Space Curves 13:19 Example: Finding Domain & Evaluating Vector Function 19:43 How to Sketch Plane/Space Curves 22:54 Example: Sketching Plane Curve 31:31 Example: Sketching Space Curve #1 39:30 Example: Sketching Space Curve #2 Space curve renders created using: https://christopherchudzicki.github.i... 📝 Examples Video:    • Space Curves & Vector-Valued Functions Exa...   ⏩ Next Lesson:    • Limits & Continuity of Vector-Valued Funct...   📺 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 ⚡️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.