Preheat broiler.

Heat a large oven proof saute pan over medium heat. Add oil to pan; swirl to coat. Add onion and carrot; cook 6 minutes or until carrot is almost tender, stirring occasionally. Sprinkle with flour; cook 1 minute, stirring constantly. Gradually stir in milk; cook 5 minutes, stirring constantly with a whisk until slightly thick. Stir in goat cheese, mustard, salt, and pepper; cook 2 minutes, stirring constantly.

Remove pan from heat. Stir in noodles, peas, ¼ cup parmesan cheese, and tuna. Sprinkle remaining ¼ cup parmesan over top. Broil 3 minutes or until golden and bubbly. Let stand 5 minutes before serving.