- Topics At a Glance
- Functions
- Increasing or Decreasing or...
- Bounded
- Even and Odd Functions
- Vectors: A New Kind of Animal
- Magnitude
- Direction
- Scaling Vectors
- Unit Vectors
- Vector Notation
- (More than 2)-Dimensional Vectors
- Vector Functions
- Sketching Vector Functions
- Parametric Equations
- Graphing Parametric Equations
- Points on Graphs of Parametric Equations
- Parametrizations of the Unit Circle
- Parameterization of Lines
- Polar Coordinates
- Simple Polar Inequalities
- Switching Coordinates
- Translating Equations and Inequalities between Coordinate Systems
**Polar Functions**- Graphing Polar Functions
- Rules of Graphing We Do (or Don't) Have
- Bounds on Theta
- Intersections of Polar Functions
- In the Real World
- I Like Abstract Stuff; Why Should I Care?
- How to Solve a Math Problem

We're ready to practice using polar coordinates.

Polar functions are the perfect opportunity to practice. We can think of polar functions like a bear itself, a polar bear in this case. We need to wrangle the polar bear for our confrontation with the calculus bear.

First, a few basics. A **polar function** is a function described by an equation of the form

r = *f *(θ).

The values of θ to be used will often be specified by an inequality α ≤ θ ≤ β.

The polar function r = *f *(θ) can also be described by the parametric equations