The beginning of the study of vector-valued functions mirrors precisely the study of parametric equations. Most of the material in this week is nearly identical to what we had in the previous chapter.
- Section 12.5: Vector-valued functions are just an extension of parametric curves. In this section, we (re-)define the basics.
- Section 12.6: The calculus of vector-valued functions also follows the work we did in the previous chapter.
- Section 12.7: As discussed earlier, movement through space has obvious interpretations with vector-valued functions. The example video allows us to see that we have been doing math like this previously, but that our new setting makes things easier.