Course: Calculus III
Topic: Vector-Valued Functions
Subtopic: Introduction to VV Functions


A vector-valued function (a.k.a. vector function) is a vector whose components are functions. For example the vector `vecr(t)=<<t,1>>` whose graph contains the points (1,1), (3,1), (`pi`,1), (-5.2,1), etc. in other words it is a way of expressing in vector form the line y=1. Using parametric equations for each of the components, we can control the vector over time, e.g. `vecv(t)=<<cos(t), sin(t), ln(t)>>`.


By the end of this topic you should know and be prepared to be tested on:


Terms you should be able to define: vector-valued function, parametric equation

Supplemental Resources (optional)

Dale Hoffman's Contemporary Calculus III: Introduction to Vector-Valued Functions and Vector-Valued Functions and Curves in Space

Paul's OL Notes - Calc III: Vector Functions

More tutorial videos if you need them are listed at James Sousa's MathIsPower4U - Calc II. Scroll down right column to "Vector Valued Functions". There are several related titles in the first half of that list.