Vector Calculus - Lecture 1: Paths and Curves скачать в хорошем качестве

Vector Calculus - Lecture 1: Paths and Curves

We start our study of vector calculus and vector-valued functions by exploring paths: functions from (an interval in) R to R^n. We illustrate a few examples in R^2 and R^3 and we discuss how to interpret and think about paths and the curves that they trace out. 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   Next lecture:    • Vector Calculus - Lecture 2: The Velocity ...   Blank course notes (lectures 1-3): https://njohnston.ca/vector_calculus/... Annotated course notes (lectures 1-3): https://njohnston.ca/vector_calculus/... Desmos graphs used in this video: Line path: https://www.desmos.com/calculator/vda... Helix path: https://www.desmos.com/3d/whnwtqtirc Weird circle parametrization: https://www.desmos.com/calculator/6qr... Please leave a comment below if you have any questions, comments, or corrections. Timestamps: 00:00 - Introduction 03:21 - Paths 07:50 - A line path 10:52 - A helical path 13:42 - A weird circle path 20:22 - Paths versus curves #vector_calculus #paths #curves