Quadricep Exercises

Here is an article explaining how to squat.

Here is an overview of different squatting variations.

Squatting and your knees.

Barbell (Back) Squats - "Buff Mother" Michelle Berger  
Barbell Front Squats
Stationary Lunges (MPG file) (also glutes)
Barbell Reverse Lunge (MPG file)  - do by alternating legs each rep
Barbell Step Up  (also glutes)
Dumbbell Step Up  (also glutes) 

Inner/Outer Thigh Exercises

Dumbbell Side Lunge
Barbell Side Lunge (MPG file)