Preheat your oven to 375 degrees. Take out a large pot and add the potatoes. Fill the pot with water so the potatoes are covered by one inch. Bring the potatoes to a boil over high heat. Lower the heat to medium and let the potatoes simmer for 20 minutes, or until they are tender. Use a saucepan to heat the half and half, chicken broth, butter, garlic, mustard and salt over medium low heat for around five minutes, which is how long it should take for the ingredients to reach a smooth consistency. Drain the potatoes once they are tender and place it into the bowl of a mixer. Mix the potatoes on medium low speed and gradually add the half and half mixture. Mix for one minute, or until smooth. Beat in the eggs one at a time for around one minute. Place the mashed potato mixture inside a greased two quart baking dish. Create the peaks on top of the casserole using a fork. Bake in your preheated oven for about 35 minutes, which is around how long it should take for the potatoes
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