One of the posters above mentioned Wilderness First Aid, which is a great course. Wilderness First Responder goes more above-and-beyond and includes things like relocating a dislocated kneecap or shoulder, splinting, bandaging, administering injections, wound care, clearing a spine, identifying brain swelling from a head injury, etc.

You can do it in a week, living on-site.

Edit: There's also a component on helicopter operations, such as laying out a landing site for when things get really spicy.