Introduction to Vector Functions

Math Easy Solutions

math science education vector functions calculus

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 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.

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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: