In a medium bowl, mix flour, cornmeal, salt, and pepper.
In another bowl, combine milk and beaten egg.
Dip tomato slices in the milk and egg mixture, then dredge in the flour mixture, coating both sides.
Heat the vegetable oil in a large skillet over medium heat.
Fry tomato slices in the hot oil until golden brown on both sides, about 3-4 minutes per side.
Remove from skillet and drain on paper towels.