In a medium bowl, whisk together the eggs, milk, hot sauce (if using), salt, pepper and ground mustard. Set aside.

Bring a large pot of water to a boil. Add two pinches of salt to the water, and cook the pasta according to the directions on the package. Drain the pasta, and put it back in the pot, keeping it off the heat.

Add the butter. Toss until the butter has melted.

Stir in the egg mixture, and add the cheese.

Place the pot back on the stove over low heat, and stir the pasta for 3 minutes or until creamy.