In a microwave-safe mug (about 10-12 ounces), mix milk, oil, and vanilla.
Add flour, sugar, baking powder, cinnamon, and salt. Stir well until everything is mixed.
Add grated carrots and mix again.
Microwave for 60-90 seconds until the cake is fully cooked. (Time may vary, so check it.)
Let the cake cool for about 15 minutes.
In a bowl, mix cream cheese, heavy cream, and powdered sugar to make frosting.
Spread the frosting on the cooled cake.
Serve and enjoy!