If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

# Unit: Parametric equations, polar coordinates, and vector-valued functions

#### 0

Possible mastery points

## Arc length: parametric curves

### Practice

#### Quiz 1

Level up on the above skills and collect up to 240 Mastery points

## Vector-valued functions

### Practice

#### Quiz 2

Level up on the above skills and collect up to 160 Mastery points

## Planar motion

### Practice

#### Quiz 3

Level up on the above skills and collect up to 240 Mastery points

## Calculator-active practice

### Practice

#### Quiz 4

Level up on the above skills and collect up to 560 Mastery points
Up next for you:

#### Unit test

Level up on all the skills in this unit and collect up to 1500 Mastery points!

### About this unit

We are used to working with functions whose output is a single variable, and whose graph is defined with Cartesian, i.e., (x,y) coordinates. But there can be other functions! For example, vector-valued functions can have two variables or more as outputs! Polar functions are graphed using polar coordinates, i.e., they take an angle as an input and output a radius! Learn about these functions and how we apply the concepts of the derivative and the integral on them.