A tree in my yard looks like it's dying. A friend said that I can simply cut off the side that is dying and see if the rest of it lives. However, some of the branches on the "living" side seem to be dying, but there are some portions that look like new growth. Almost all of the bark has come off of the dead side. The bark doesn't appear to be coming off anywhere else except where some of the branches have died on the living side.
I live in the United States, Omaha, Nebraska. The pictures below were taken 11/1/2017. It's fall here and the leaves are falling off the trees fast. I did my best to take a picture of the full tree, the bark and the leaves. Let me know if I can provide any other information.
What kind of tree is this and what should I do about it? Is it time to cut it down, or is there a chance of it still living if the dead part is removed?