Vector Calculus - Lecture 12: What is a Gradient Field? скачать в хорошем качестве

Vector Calculus - Lecture 12: What is a Gradient Field?

We introduce gradient fields and talk about how to determine whether or not a given vector field is a gradient field. We also discuss potential functions and how to find them. 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 11: What is a Ve...   Next lecture:    • Vector Calculus - Lecture 13: Flow Lines o...   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: Contour of a scalar field: https://www.desmos.com/calculator/yzu... Please leave a comment below if you have any questions, comments, or corrections. Timestamps: 00:00 - Introduction and definition 03:04 - Example 1: showing a vector field is not a gradient field 06:24 - Example 2: showing a vector field is a gradient field #vector_calculus #gradient #potential