Vector Calculus - Lecture 14: Introduction to Vector Line Integrals

We introduce vector line integrals and derive a formula for computing them. Textbook: "Vector Calculus" by Susan J. Colley and Santiago Cañez Canada link: https://www.amazon.ca/dp/B09M8DL4TJ/&tag=veccalc06-20 USA link: https://www.amazon.com/dp/B09M8DL4TJ/&tag=veccalc-20 Vector Calculus playlist: https://www.youtube.com/playlist?list=PLOAf1ViVP13haWs-MkyL9u_r8pMgFoWT6 Previous lecture: https://youtu.be/qTIGwwRLA2M Next lecture: https://youtu.be/sz6_v4979W8 Blank course notes (lectures 11-15): https://njohnston.ca/vector_calculus/week4.pdf Annotated course notes (lectures 11-15): https://njohnston.ca/vector_calculus/week4_annotated.pdf Desmos graphs used in this video: Scalar line integral reminder: https://www.desmos.com/calculator/jof1ksh0oo Our first vector line integral: https://www.desmos.com/calculator/c3z4t6ewvr Please leave a comment below if you have any questions, comments, or corrections. Timestamps: 00:00 - Introduction and general idea 05:49 - Definition 11:26 - Formula and computational example #vector_calculus #vector_field #line_integral