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.
Learning Outcomes
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.