Vector Calculus - Lecture 13: Flow Lines of Vector Fields скачать в хорошем качестве

Vector Calculus - Lecture 13: Flow Lines of Vector Fields

We discuss flow lines, which are the paths that particles follow if they are subjected to the forces described by vector fields. We demonstrate how to verify that a given path is a flow line, and we briefly discuss how someone could (in principle) find the flow lines of a vector field. Textbook: "Vector Calculus" by Susan J. Colley and Santiago Cañez Canada link: https://www.amazon.ca/dp/B09M8DL4TJ/&... USA link: https://www.amazon.com/dp/B09M8DL4TJ/... Vector Calculus playlist:    • Vector Calculus   Previous lecture:    • Vector Calculus - Lecture 12: What is a Gr...   Next lecture:    • Vector Calculus - Lecture 14: Introduction...   Blank course notes (lectures 11-15): https://njohnston.ca/vector_calculus/... Annotated course notes (lectures 11-15): https://njohnston.ca/vector_calculus/... Desmos graphs used in this video: Circular flow lines: https://www.desmos.com/calculator/wbj... Gradient field flow lines: https://www.desmos.com/calculator/1tj... Please leave a comment below if you have any questions, comments, or corrections. Timestamps: 00:00 - Introduction and definition 02:24 - Example 1: sketching flow lines of a gradient field 04:24 - Example 2: verifying circular flow lines 06:51 - Example 3: verifying a flow line of a gradient field #vector_calculus #vectorfield #flowline