Vector Calculus - Lecture 10: Scalar Line Integrals (Examples and Other Interpretations) скачать в хорошем качестве

Vector Calculus - Lecture 10: Scalar Line Integrals (Examples and Other Interpretations)

We demonstrate how to compute scalar line integrals, and we talk about a few physical interpretations of them; as accumulating density into total mass, and as the area of a 2D region in 3D space. 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 9: Scalar Line I...   Next lecture:    • Vector Calculus - Lecture 11: What is a Ve...   Blank course notes (lectures 8-10): https://njohnston.ca/vector_calculus/... Annotated course notes (lectures 8-10): https://njohnston.ca/vector_calculus/... Desmos graphs used in this video: Line integral along an intersection of surfaces: https://www.desmos.com/3d/vhnhpkcq6j Line integral along a wire: https://www.desmos.com/calculator/lu1... Line integral as area of a surface: https://www.desmos.com/3d/szhweovvnq Area under a surface along a curve: https://www.desmos.com/3d/vaz1uoxuhp Please leave a comment below if you have any questions, comments, or corrections. Timestamps: 00:00 - Introduction 00:37 - Scalar line integral along the intersection of two surfaces 07:01 - Scalar line integral of density is mass 13:26 - Scalar line integrals for computing 2D areas in 3D space #vector_calculus #lineintegral #line_integral