An alpine climbing course in Courmayeur teaches you to move safely on glaciated and mixed terrain. Courses run from one to three days with an IFMGA guide, at every level from complete beginner upward.
Typically you learn:
Moving on snow and ice. Crampon technique in both forms — flat-footing on moderate angles, which is what you use most of the time and what tires you least, and front-pointing on steeper ground. Ice-axe carry, self-belay and self-arrest alongside.
Rope work. Tying into a glacier team, spacing, pace, and moving as a unit over undulating ground.
Crevasse awareness and rescue. Reading the surface, recognising sagging bridges, fall arrest, snow and ice anchors, and hauling systems. How far this goes depends on the course length and the state of the glacier.
Short-roping. On the more advanced courses, when and why to move together on a few metres of rope, managing distance and tension, and reacting to a slip on a ridge. It is what makes ridge traverses fast.
Route planning and judgement. Reading conditions, evaluating hazard, and making the call on the ground.
Longer courses usually apply the skills on a real objective, though which one depends on conditions and the party.