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Vector Calculus - Lecture 1: Paths and Curves
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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
Course notes: coming soon
Desmos graphs used in this video:
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
Textbook: "Vector Calculus" by Susan J. Colley and Santiago Cañez
Course notes: coming soon
Desmos graphs used in this video:
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
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