A rudder is often used as a quick correction stroke by novice paddlers.  It can also be a handy stroke when surfing waves.  The stroke is pretty similar to the reverse sweep stroke.  You simply place your paddle along side your boat, start the reverse sweep until roughly a foot away from the boat and hold.  Here is a video demonstration: Reverse Rudder.  Here is another good example: The Stern Rudder.

The reverse sweep is almost an exact opposite of the forward sweep.  It starts from the rear of the boat with a low brace rather than being angled in the water.  This provides you some extra stability when you start the stroke.  This time you sweep the paddle in an arc towards the front of the boat while turning your wrists to expose the non-power face of the paddle blade in the water.  As the paddle turns into the water, it propels the boat towards the side you are paddling on.  Leaning the boat on its side and turning with your torso makes this stroke much more effective.  The old adage "Turn with your Abs" is a good one to remember.  The forward and reverse sweeps can be combined to spin your boat much faster or even do donuts (360's).  We will practice spinning the boat in the class.  The following two films are the same as in the forward sweep article as both sweep maneuvers are typically taught together.

This is an excellent video on the sweep stroke from Werner Paddles: The Sweep Strokes.

This is another good example of the sweep strokes from Mike Aronoff at CKAPCO: The Sweep Strokes.

Draw strokes are used to move your boat sideways.  They are commonly used in calm water for docking next to a boat or on shore.  They can also be used for quick side-slipping by an obstacle in a rapid.  Stern draw strokes are very useful when surfing waves.  Used in this manner, you are pulling the back of the boat sideways without pushing the boat forward.  When performing any draw stroke, always remember the paddlers box - never let the paddle shaft leave your eyesight.  These strokes require you to twist your torso and reach out a bit.

This video concentrates on the stern draw mechanics: Stern Draw.

The sweep strokes are the most common way to turn the boat.  The forward sweep is used to turn your boat while maintaining forward momentum.  This is far more useful than using a rudder and also provides extra stability.  When performing a sweep stroke, put your boat on edge on the side of the sweep stroke while keeping your upper body upright.  This greatly reduces the surface area of the boat on the water making it easier to turn the boat.  You start the forward sweep near your feet.  Instead of pulling the paddle blade straight back, you move the paddle blade in a wide arc away from the boat.  To avoid leaving the safety of the paddlers box, make your face and torso follow the paddle blade. As always, turn the boat with your torso rather than your arms.

This is an excellent video on the sweep stroke from Werner Paddles: The Sweep Strokes.

This is another good example of the sweep strokes from Mike Aronoff at CKAPCO: The Sweep Strokes.

The Stern Draw is a more advanced stroke.  It's commonly used in whitewater kayaking: Stern Draw