In a large bowl, dissolve yeast in water. Stir in the butter, honey, egg, whole wheat flour, oats, salt and 1 cup of all-purpose flour; beat until smooth. Add enough remaining all-purpose flour to form a soft dough.
Turn onto a floured surface; knead dough until smooth and elastic, about 6-8 minutes. Place in a greased bowl, turning once to grease top. Cover and let rise in a warm place until doubled, about 1 hour.
Punch dough down. Shape into 15 rolls. Place in a greased 13-in. x 9-in. baking pan. Cover and let rise until doubled, about 45 minutes.
Bake at 375° for 20 minutes or until golden brown. Brush with butter. Yield: 15 rolls.