Name: Introduction to Vector Functions
Uploaded: 2025-06-01T22:06:33+00:00
Duration: 10 min 27 s
Description: In this video I introduce vector functions and show how they differ from the real-value functions that we are used to. Vector functions have domain of real numbers and a range of vectors. Compare this

5 months ago

148

Health & Science Education vector functions space curves science math parametric equations 3D space three dimensions 3 dimensions 3d graphing

In this video I introduce vector functions and show how they differ from the real-value functions that we are used to. Vector functions have domain of real numbers and a range of vectors. Compare this with real-valued functions which have both domain and range being single values, aka numbers. I focus on vectors in 3 dimensions since they are the most common type of vector-functions. I also use the parameter t, indicating time, since that is most common as well. I go over an example of finding the domain of a 3D vector function by finding the domain of the component functions that comprise it.

#math #science #vectorfunctions #education #calculus

Timestamps:

- Vector Functions chapter introduction: 0:00
- Real-valued functions have domain and range both being single values: 1:22
- Vector-Valued Functions have a domain of real numbers but a range of vectors: 2:36
- Vector functions in 3D vectors using the t parameter for time: 3:45
- Example 1: Domain of 3D vector function: 5:21
- Domain of components of the vector function: 7:34
- Domain of log is greater than 0: 8:00
- Domain of square root is greater than or equal to 0: 9:20

Notes and playlists:

- Summary: https://inleo.io/threads/view/mes/re-leothreads-27e2ayr7f
- Sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0GwdMY-E9_4LsmYmO-IxcoX
- Notes: https://peakd.com/hive-128780/@mes/omhbcxkw
- Vector Functions playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0HQl7xTQBS_O8Te8PcpNm4U .

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